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Wilburton Trestle – Eastside Rail Corridor Regional Trail Bridge No. SA-9 Preliminary Design Report
Department of Natural Resources and Parks Parks and Recreation Division Capital Planning and Land Management Section King Street Center 201 South Jackson St., Suite 700 Seattle, WA 98104-3856 March 10, 2016
Table of Contents
W i l b u r t o n T r e s t l e ( B r i d g e S A - 9 ) P r e l i m i n a r y D e s i g n R e p o r t
Executive Summary ....................................................................................................................................... 1
Introduction ................................................................................................................................................... 2
Project Background .............................................................................................................................. 2
Bridge Description ........................................................................................................................................ 3
Year of Construction and Previous Repairs ..................................................................................... 3
Bridge Inspection........................................................................................................................................... 4
Structural Analysis ......................................................................................................................................... 5
Load Rating Vehicles ........................................................................................................................... 5
Methods and Assumptions ................................................................................................................. 6
Results and Recommendations .................................................................................................................... 7
Trail Width and Decking Options ..................................................................................................... 8
Timber Stringers ................................................................................................................................... 9
High Level Caps ................................................................................................................................ 11
Posts and Above-Ground Piles ....................................................................................................... 12
Mid- and Low- Level Caps ............................................................................................................... 13
Foundation Piles ................................................................................................................................ 14
Lateral Bracing ................................................................................................................................... 14
Steel Girders ....................................................................................................................................... 15
Rehabilitation Cost and Constructability ................................................................................................ 15
Rehabilitation Cost Summary .......................................................................................................... 15
Equipment and Access ..................................................................................................................... 16
Concrete Deck, Stringers, and High Level Cap Replacement .................................................... 16
Posts ................................................................................................................................................ 16
Mid- Level Caps ................................................................................................................................. 17
Piles ...................................................................................................................................................... 17
Lateral Bracing ................................................................................................................................... 17
Additional Member Replacement ............................................................................................................ 17
Continued Monitoring and Maintenance ................................................................................................ 18
Full Bridge Replacement ........................................................................................................................... 18
Appendices .................................................................................................................................................. 18
W i l b u r t o n T r e s t l e ( B r i d g e S A - 9 ) P r e l i m i n a r y D e s i g n R e p o r t 1
Executive Summary This report presents our evaluation of the Wilburton Trestle for proposed use as a pedestrian bridge along the planned Eastside Rail Corridor Regional Trail. In addition to pedestrian use, King County identified several maintenance vehicles to be considered in the evaluation. At the time of this report, a construction date had not been established. The trestle is a historic structure and we limited our evaluation to rehabilitation of the existing bridge and did not consider a full replacement structure. Our scope of work included: 1) bridge inspection, 2) site survey, 3) inspection summary report, 3) creating as-built drawings of the bridge, 4) structural assessment of the bridge considering pedestrian loads and King County-specific maintenance vehicles, 5) consideration of multiple decking types, and 6) preliminary cost estimates for various levels of repairs that depended on desired lifespan and type of vehicle use. The trestle consists of 60 timber trestle spans and one steel girder span with a total length of approximately 975 feet. The timber trestle spans were most recently reconstructed in 1944 while the steel girder span was constructed in 1972. Minimal previous inspection and bridge repair data were available at the time of our evaluation. Based on our evaluation, we recommend repairs in order to utilize the bridge for the multi-use trail. Our site inspections revealed numerous defects and deterioration in the bridge members. This typically consisted of internal decay in the timber stringers, posts, and cap beams and deterioration of the steel girder paint system. Our rehabilitation recommendations account for: 1) the severity of the deterioration; 2) the desired lifespan for the structure along with the estimated remaining lifespan of the member; and 3) the size of the maintenance vehicles using the bridge. In addition to rehabilitating the existing components of the bridge, new decking and railing will be installed. Based on these considerations, the estimated costs for rehabilitation range from $4.2 million for light vehicles with a 25-year lifespan, to $9.3 million for heavier vehicles with a 50-year lifespan as shown below.
Vehicle Group
Vehicle Use Estimated Life
Span 14' Concrete
Deck 12' Concrete
Deck 14' Asphalt
Deck 12' Asphalt
Deck
1
Truck + Trailer
with 75,000 Lb.
Excavator,
AASHTO HS20
Up to 25 years $5.51M $5.16M $4.95M $4.67M
Up to 35 years $7.39M $7.04M $6.83M $6.56M
Up to 50 years $9.29M $8.94M $8.73M $8.46M
2 Loaded 10‐yard
dumptruck
Up to 25 years $5.06M $4.72M $4.49M $4.24M
Up to 35 years $6.94M $6.61M $6.38M $6.12M
Up to 50 years $9.14M $8.79M $8.58M $8.30M
3
AASHTO H10,
AASHTO
Pedestrian Load
Up to 25 years $5.06M $4.72M $4.49M $4.24M
Up to 35 years $6.94M $6.61M $6.38M $6.12M
Up to 50 years $9.14M $8.79M $8.58M $8.30M
W i l
Intr This rOur aand thseverbridg Proje The WCorrialongmaintmaintBellev Existi• “E
StR
• “Wan
b u r t o n T
oduction
report descriassessment anhe results of al options wh
ge, and deckin
ect Backgrou
Wilburton Tridor as part og this corridotenance vehitenance vehivue and roug
ing documenEastside Railtructures Un
Report, 1980; Wilburton Tnd cost opini
r e s t l e ( B
ibes our rehand recommea load ratinghich are baseng type.
und
restle (King Cof the King Cr and the Cocle structure.cles equippedghly parallels
nts available al Corridor Sa
nit, 2011, incl
restle – Concions prepare
I‐405
SE
B r i d g e S A
abilitation assendations areg analysis. Weed on estimat
County ParkCounty Regioounty seeks to. The trestle d with rail traI-405 from s
at the time oafety Inspectiluding the Hi
ceptual Estimd by Parame
F
E 8th St.
A - 9 ) P r e l
sessment ande based on dae provide repted lifespan o
s Bridge No.onal Trail Syso evaluate it is currently cack wheels. Tsouth of SE
of our assessmion” report pistoric Ameri
mates of Probetrix.
igure 1: Vicinit
l i m i n a r y
d recommendata we acquirpair recommof the repairs
. SA-9) is locstem. The trefor suitability
closed to pedThe trestle is9th Street to
ment includeprepared by tican Enginee
bable Cost (R
ty map
D e s i g n R
dations for thred during ouendations ans, types of ve
cated along thestle is a signty to be used destrians but located withnorth of SE
ed: the King Couering Record
Revised)” tec
Wilburton T
R e p o r t
he Wilburtonur bridge inspnd cost estimehicles utilizin
he Eastside Rnificant struct
as pedestrianis used by C
hin the City o8th Street.
unty Bridgesd (HAER) Inv
chnical mem
Trestle
2
n Trestle. pection
mates for ng the
Rail ture n and
County of
and ventory
orandum
W i l b u r t o n T r e s t l e ( B r i d g e S A - 9 ) P r e l i m i n a r y D e s i g n R e p o r t 3
Bridge Description The trestle consists of 60 timber trestle spans and one steel girder span with a total length of approximately 975 feet. The timber trestle spans are supported on driven timber pilings. The steel girder span is supported on tall concrete piers. The trestle crosses over SE 9th Street, Richards Creek, and SE 8th Street. The south end of the bridge has a slight horizontal curve through about Bent 9 with a straight alignment beyond. The bridge deck is roughly 100 feet above ground at its maximum height. Year of Construction and Previous Repairs Based on the HAER report referenced above, the bridge was originally constructed in 1904 and completely rebuilt in 1913, 1924, 1933, and most recently in 1944. The concrete piers and steel girders were installed in 1972. All timber is assumed to be fir based on information in the HAER report. Numerous piles have been repaired with what appears to be a patching compound. A timber cover piece is placed over the patch and secured with metal banding. The age of these repairs is not known. We are referring to these types of repairs below as banded patch repairs. It also appears numerous members have received a fumigant or other internal treatment. We observed plugged access ports for the treatment and metal ID markers indicated Osmose treatment. Bents 1 – 11: These bents consist of six driven timber piles that are full height extending up to the deck level. The piles have lateral and longitudinal timber bracing in the horizontal and diagonal directions along their height, creating a frame with several levels. The pile diameter increases from the ground level up. Sizes averaged 12” at the bottom and roughly 22” at the top. All timber is creosote treated. Bents 12 and 13: These two bents are unique and consist of seven timber piles, continuous up to the deck level, that are slanted in the longitudinal direction in order to make room for SE 9th Street at the base while maintaining desirable span lengths for the stringers at the top. Timber framework spans between these two bents to provide stability for the slanted piles. Unlike the longitudinal bracing members in other spans, these are considered as primary load members. Lateral bracing between the piles is also present. All timber is creosote treated. Bents 14 – 35: These bents are similar to Bents 1 – 11. At the time of our inspection, the piles at Bents 20-31 were submerged in approximately 12 inches of water. Bents 36 – 46: These bents consist of six driven timber piles that extend several feet above ground. On top of the piles are six square timber posts with caps and framing above. The square piles are discontinuous between levels with a timber cap beam between levels. The posts are braced to one another with lateral and longitudinal bracing members. The driven piles are creosote treated, however, the square
W i l b u r t o n T r e s t l e ( B r i d g e S A - 9 ) P r e l i m i n a r y D e s i g n R e p o r t 4
posts and framing likely were treated with Wolman salts based on the HAER report. Wolman salts are a wood preservative treatment used in the early and middle part of last century but do not appear in newer construction. Bent 47: The foundation for this bent consists of driven steel H-piles with steel framing supporting six square timber posts with caps and framing above. Bents 48 and 51: These are short timber pony bents with five square posts that sit on top of the tall concrete piers and support the end of the timber stringer span just prior to and after the steel girder span. Bents 49 and 50: These bents are the tall concrete piers that support the steel girder span. Bent 52, 53, and 54: These bents have steel piles and framework at the base supporting 5 square posts with caps and framing above. The timber framing on top of the steel assembly is not creosote treated and likely treated with Wolman salts. Bents 55 – 60: These bents have five driven piles that support five square posts with caps and framing above. The timber framing on top of the steel assembly is not creosote treated and likely treated with Wolman salts. Bents 61 - 64: Bents 61 - 64 are circular continuous piles with the top pile cap extending beyond the horizontal limits of the superstructure. These bents have old, relic piles from previous portions of the bridge. Many of them show severe defects but are not considered to be a load carrying portion of the structure. Superstructure The existing superstructure consists of steel rails and 8”x8”x10’-0” long timber cross ties supported on timber stringers or steel girders. The timber stringers are 9x17 solid sawn lumber. Twenty-one (21) of the 60 spans have 8 stringers total while the rest have 6. The steel girders are plate girders with both riveted and bolted connections. The girders are 8 feet deep and spaced 8 feet apart.
Bridge Inspection We conducted a bridge inspection for the purpose of obtaining and confirming sufficient information to perform a structural assessment of the bridge. The inspection report, “Wilburton Trestle – East Rail Corridor Bridge No. SA-9 Bridge Inspection Summary”, dated 3/10/16, was prepared as a stand-alone document and is not included with this report.
W i l
Stru We pdeteriloads usingtwo Kpedes Usingfor eavehic The R
Load The v
b u r t o n T
uctural An
erformed a lioration, to cbeing applie
g a 2D analysiKing County-strian bridges
g these live loach member le used. RF’s
RF for each m
Rating Vehivehicle config
King Countyrepresent
r e s t l e ( B
nalysis
oad rating ancheck whetheed. The load is of the stru-specific mais and anothe
oads as well aevaluated. M
s less than 1.0
member is ca
cles gurations are
y 10-yard dumptruted by AASHTO S(Vehicle Group #2
B r i d g e S A
nalysis of theer individualrating calcula
ucture. Each mintenance vehr for highwa
as the membMembers with
0 indicate tha
alculated acco
RatingFactor
e as follows:
Figure
uck (27 tons) –SU5 vehicle 2)
A - 9 ) P r e l
e bridge, accobridge compations are shmember withhicles as well
ay bridges (sh
er’s tributaryh a RF aboveat the memb
ording to the
r(RF)=(CapacLiveLoad
.
e 1: Load Ratin
King Counrepresented
l i m i n a r y
ounting for oponents had own in Appeh observed dl as two AAS
hown below)
y dead load, re 1.0 are deember’s capacity
e following fo
city–DeadLoad
ng Vehicles
nty truck and traileby Special Vehicle
(Vehi
D e s i g n R
observed defesufficient strendix B and wdeterioration SHTO design.
rating factorsmed sufficienis exceeded
formula:
ad)/
er with 75,000 lb. eve #2 AASHTO SUicle Group #1)
R e p o r t
ects and rength for thewere complewas load rat
n live loads –
s (RF) were cnt for the spefor that vehi
vacuator (67 tons) –U4 with 80 kip lowb
5
e vehicle eted ed for
– one for
calculated ecific icle.
–
boy
W i l
MethAddit
1)
2)
3)
4)
5)
6)
7)
b u r t o n T
hods and Asstional metho
) Timber mgirders pefollowing
a. AAb. AA
SSc. W
) For timbevehicles anmaintenan
a. Wspbe
) The structbridge meconsider s
) No live lofactor of 1vehicles.
) The pile eapplies.
) Timber deThe cross of internal
) Material pWSDOT B
AASH
r e s t l e ( B
sumptions ds and assum
members werer the Load anspecificationASHTO ManASHTO StanSHB)
WSDOT Bridger members, Ind Operatingnce vehicles.
We believe thepecific weighte relatively lotural analysisembers and thseismic, windoad impact w10% was add
end condition
eterioration wsectional are
l decay. properties weBDM and w
HTO H-10 PedestVehicle (10
(Vehicle Gro
B r i d g e S A
Figure 1 (
mptions are a
e load rated pnd Resistanc
ns: nual for Bridndard Specifi
ge Design MInventory Leg Level (33%
e Operating Lts and spacinw over the li considered vhe weight of
d, or lateral loas applied to
ded to the Ki
ns are pinned
was accounteea and sectio
ere determinewere taken as
trian Bridge Design0 tons) oup #3)
A - 9 ) P r e l
(cont.): Load R
as follows:
per allowablece Factor Rat
dge Evaluatiofications for H
Manual (WSDevel allowabl
% higher allow
Level is prudngs are knownifespan of thvertical loads
f the vehicles oads. o the timber ming County li
d and a brace
ed for by adjun modulus w
ed based on gfollows:
AASHTn
l i m i n a r y
Rating Vehicles
e stress desigting (LRFR) m
on 2nd EditionHighway Brid
OT BDM) le stresses wewable than In
dent for the mn and the free bridge. s only whichbeing applie
members. Foive loads and
ed frame effe
usting the secwere reduced
guidance pro
TO HS-20 Highwa(Vehicle G
D e s i g n R
gn methods (Amethod acco
n, 2011 (AASdges, 17th Ed
ere used for tnventory) for
maintenance equency of th
h included seled. The load
or the steel gid 33% for the
ective length
ction properd based on th
ovided in AA
ay Design Vehicle (Group #1)
R e p o r t
ASD) and thording to the
SHTO MBEdition (AASH
the AASHTOr the King C
vehicles becahese heavy lo
lf weight of trating did no
irders, an ime AASHTO
factor, K, of
rties of the sehe estimated a
ASHTO MBE
(32 tons)
6
he steel
E) HTO
O design ounty
ause the oads will
the ot
pact design
f 1.0
ection. amount
E and
W i l b u r t o n T r e s t l e ( B r i d g e S A - 9 ) P r e l i m i n a r y D e s i g n R e p o r t 7
Timber (AASHTO SSHB Table 13.5.1A)– Douglas Fir #1 for stringers and Douglas Fir Select Structural for all other timber (WSDOT BDM 13.2.14 – “Unless the species and grade is known, assume Douglas Fir. Use select structural for members installed prior to 1955 and No. 1 after 1955. The allowable stresses for beams and stringers shall be as listed in the AASHTO Specifications.”)
a. Allowable bending stress in timber stringers, Fb = 1,350 psi b. Allowable bending stress in timber posts and caps, Fb = 1,200 psi c. Allowable shear stress in all members, Fv = 85 psi d. Allowable compression parallel to grain in timber posts, Fc = 1,000 psi e. Allowable compression perpendicular to grain in timber posts and caps, Fpc = 625
psi f. Wet Service Factors, CM = 1.0 for shear and bending, 0.91 for compression, 0.67 for
bearing g. Load Duration Factors, CD = 1.15 for all loadings except compression perpendicular
to grain, for which a value of 1.0 was used h. Shear Stress Factor, CH = 1.0 for timber stringers (conservative assumption to
account for uncertainty in aging wood structure and difficult inspection access) i. Allowable stress values are to be modified by additional modification factors such as
size factor and beam stability factor, see load rating Structural Steels (AASHTO MBE 6A.6.2.1)– ”The minimum mechanical properties of structural steel…may be assumed based on the year of construction of the bridge when the specification and grade of steel are unknown.”
a. Structural steel yield strength, Fy = 36 ksi (steel built after 1963, AASHTO MBE 6A.6.2.1)
b. Condition factor, c = 1.00 (Structural condition good or satisfactory, AASHTO MBE 6A.4.2.3-1)
c. System factor for flexure and axial effects, s = 0.90 (Riveted members in two-girder bridges, AASHTO MBE 6A.4.2.4-1)
Results and Recommendations Based upon the results of the load rating and observations made during inspection, we recommend repairing or replacing certain bridge components in order to utilize the bridge for maintenance vehicle and pedestrian access. We are recommending repair or replacement when:
Any member has a rating factor (RF) less than one; The member has defects or deterioration to an extent that we believe will limit its remaining
lifespan, even if the member currently has sufficient load carrying capacity. The overall level of repair for the bridge will depend on which maintenance vehicles will be allowed to use the bridge, the desired lifespan of the structure, and the desired decking type and width..
W i l
We arlifesp
In ad
Appevehic Trail Both weariwith mlayou RailinThe rcost. elemeuser’sassumexamdiscu
b u r t o n T
re presentingpans and two
Group 1 –highway loGroup 2 –Group 3 –
dition, we haUp to 25 yUp to 35 yUp to 50 y
endix A inclule groups wit
Width and 12 foot and
ing surface. Tminimal cost
ut both from
ng railing can beOr the railinents. The rails perspectivemed a railing
mples of railinssion.
Figure 2 :
r e s t l e ( B
g repair optiodecking opti
– King Counoad; – King Coun– AASHTO
ave evaluatedyears years years
udes summaryth correspon
Decking Op14 foot trail
These types ot difference. Ta stringer loa
e a basic formng can includeling is a highl on the bridgcost in the m
ngs (graphics
Example of ste
B r i d g e S A
ons for the foions –
nty truck and
nty 10-yard duH10 and 90
d repair requi
y tables indicnding lifespan
ptions widths are fe
of decking syThe timber sading and de
m, such as gale aesthetic fely visible bridge. We did nomid-level rang
taken from o
eel railing with l
A - 9 ) P r e l
ollowing thre
trailer with 7
umptruck; psf pedestria
irements for
cating which ns, decking al
feasible for thystems can bestringers will ck support p
lvanized steeeatures such adge componeot generate rge for the ovother Otak p
lean rail and ove
l i m i n a r y
ee vehicle gro
75,000 lb. ex
an bridge des
the followin
repairs are nalternatives, a
his bridge, wie designed fobe evenly sp
perspective.
el posts with as coated finent of the nerailing detailsverall construprojects) that
erlooks. Concre
D e s i g n R
oups, each w
xcavator, AAS
sign live load
ng approxima
necessary for and estimated
ith either a coor any of the paced to prov
chain link, innishes and/orew bridge, pa for the preli
uction cost. Bcould be use
ete deck plank w
R e p o r t
with three diff
SHTO HS20
ds.
ate lifespans –
these differed costs.
oncrete or asthree vehicle
vide a more e
n order to mr special railinarticularly froiminary desigBelow are twoed for railing
wearing surface
8
ferent
0 design
–
ent
sphalt e groups efficient
inimize ng
om the gn but o
g design
e
W i l
ConcThe CdeckiWe reeffectOur pshoulas popanelmoistgirder AsphAn assurfaccan bbe plamore TimbThe sWe othe wsignifstringstring For ththem stringrequir
b u r t o n T
Figu
crete DeckinCounty is conng could eithecommend ptive and we apreliminary dld be designessible. We prls on top of tture on the tors using conc
halt Wearingsphalt wearince beneath fo
be achieved waced between cost effectiv
ber Stringersstringers are 9bserved som
west side of thficant decay. gers. Lookinggers were rep
he new deckitogether as i
ger and deck red per span
r e s t l e ( B
ure 3: Example
ng Wearing nsidering bother consist oprecast panelsalso recognizdesign drawined to minimizropose to remthe timber strops of the strcrete inserts o
g Surface ng surface is aor pavement
with precast cn the asphalt ve and are ind
9 inches wid
me type of defhe structure (This is likely
g north, the splaced when t
ing configurais currently thdesign whenwill vary dep
B r i d g e S A
e of steel rail sim
Surface th concrete df precast pans over cast-ine that they ar
ngs and cost ze the gap bemove all of thringers and sringers and gon the under
also feasible placement a
concrete or trand its supp
dicating this
e by 17 inchefect in appro(Stringer A) ry due to highestringers are cthe most rece
ation, we prohe case. This
n consideringpending deck
A - 9 ) P r e l
milar to rail on o
decking and anels or a cast-n-place as were common testimates ref
etween adjacehe existing crsteel girders, girders. The prside of the p
for this strucand to providreated timber
porting surfacin our prelim
es deep and voximately 30 represented ter exposure tcalled out A ent bridge re
opose to evens will allow eag AASHTO tk width and w
l i m i n a r y
other King Co. R
asphalt as we-in-place dece believe the throughout tflect a precasent panels toross-ties, railseparated byplanks can beplank so they
cture. The asde the structur crossties. Wce below. We
minary design
vary between% of the strithe vast majoto sunlight ththrough F fr
econstruction
nly spread ouasier access atruck loadingwhich vehicle
D e s i g n R
Regional Trail c
earing surfacck with stay inprecast panethe County Rst panel systeo produce as ls, and walkwy a rubber she attached to
y are not visib
sphalt would ure componeWaterproofine believe trean drawings an
n eight per spingers. The oority of the shey receive crom left to rin was done, a
ut the stringeand result in gs. The numbe group they
R e p o r t
crossings
e options. Con place formels will be moRegional Traiem. The panesmooth of a
ways and placheet to minimo the stringerble.
require a conent of the decng membraneated timber wnd estimate.
pan and six poutside stringtringers with
compared to ight. We susparound 1944.
ers versus grothe most eff
ber of stringey are designed
9
oncrete mwork. ore cost il System. els a surface ce the
mize rs and
ntinuous ck. This e should will be
per span. gers on h the other pect the .
ouping ficient ers d for. If
W i l
all strbeam
Vehic
Table
ReplOur rinspeminimfound In ordstringcycle appealimitelevel includan ad Our lratingdeteriusingthe lo
b u r t o n T
ringers are rems. This is sum
cle Group #
1
2
3
1: Proposed nu
acement Rereplacement ction, the loa
mum for all rd during insp
der to re-usegers are approto stringers
ared to be in ed basis. For of deterioratde existing st
dvanced level
load rating ang factors for ioration or w
g existing strinoad rating ma
Fig
r e s t l e ( B
placed, glu-lammarized in
Vehic
Truck + Tra75,000 Lb. E
AASHTO
Loaded 1dumpt
AASHTOAASHTO Pe
Loadumber of stringe
ecommendarecommendaad rating anarehabilitationpection.
e existing strinoximately 71so they have suitable conthe purpose
tion after 25 ytringers in anof deteriora
nalysis took ieach vehicle
worse had ratingers for Vehay be unsatisf
gure 4: Existing
B r i d g e S A
aminated striTable 1.
les
iler with xcavator, HS20
0‐yard ruck
O H10, edestrian d ers per span bas
ations ations are ba
alysis, and estn options, we
ngers, it is ne years old. Kexceeded th
ndition even aof estimatinyears, an adv
ny of the optition after 50
into account group. For Ving factors lehicle Group factory. For
g stringer layou
A - 9 ) P r e l
ingers could
Deck Width
MSaw
14
12
14
12
14
12
sed on vehicle g
sed on the cotimated remae proposed to
ecessary to esKing County this by over 20after 71 years
ng the lifespanvanced level oions with a 5years.
these estimaVehicle Grouess than 1.0. 1, or even usthis reason, w
t
l i m i n a r y
be used to re
Minimum No. wn Stringers p
NA
NA
7
6
6
6
group and deck
ondition of taining lifespao replace all s
stimate their typically assig0 years. Hows and we belin of existing of deteriorati
50-year lifesp
ated amountsup 1, stringerFor this reassing new soliwe are propo
Figure
D e s i g n R
educe the ov
of Solid per Span L
width
the stringers an of existingstringers with
r remaining ligns a 40-50 y
wever, numeroieve they canstringers, we
ion after 35 yan. For a new
s of deteriorars with a modson, we do noid-sawn strinosing glu-lam
5: Proposed str
R e p o r t
verall number
Minimum NoLam Stringers
6
5
5
4
4
4
observed dug stringers. Ah an observe
ifespan. The year replacemous stringers
n be re-used oe assigned a myears. We didw stringer, w
ation for detederate level oot recommen
ngers since atminated string
ringer layout
10
r of
o. of Glu‐s per Span
uring our t a d defect
existing ment s on a moderate d not
we assume
ermining of nd re-t 25 years gers for
W i l b u r t o n T r e s t l e ( B r i d g e S A - 9 ) P r e l i m i n a r y D e s i g n R e p o r t 11
Vehicle Group 1. Glu-laminated stringers have higher allowable stresses and can therefore be considered to have higher structural capacity at the same age as solid sawn timber assuming the same level of deterioration. For Vehicle Groups 2 and 3, stringers with an advanced level of deterioration had rating factors just above 1.0, and less than 1.0 for severe level of deterioration. Therefore, for Vehicle Groups 2 and 3, we believe existing stringers may be used up to the 35 year design life. For a 50-year design lifespan, remove and replace all stringers. Based on the above discussion, our stringer replacement recommendations are summarized as follows:
Vehicle Group 1 - Remove and replace all stringers for all design lifespans. Replace with glu-laminated stringers.
Vehicle Groups 2 and 3 – Replacement recommendations are based on anticipated lifespan as follows:
o 25- and 35-year design life: Replace all stringers with an observed defect. Existing stringers with no observed defect may be re-used. However, during construction each of these stringers will be inspected to ensure suitability for re-use. Assume that this inspection results in an additional 33% of the existing stringers requiring replacement.
o 50-year lifespan: Remove and replace all stringers with glu-laminated stringers. High Level Caps The high level caps typically consist of two 8-inch wide by 15-inch deep members placed side by side. This configuration was likely used to provide increased bearing width for the piles at the top since the pile diameters here are greater than 12 inches. Cap beams are critical for equal load distribution amongst piles. Replacement Recommendations Numerous caps are being recommended for replacement due to observed levels of deterioration. Cap beams with deterioration are prone to crushing on the tops at the stringer locations or bulging along the sides due to internal decay. These conditions are typically observed at the advanced deterioration level and will likely affect the load rating of the bridge. Cap beams with minor to no decay are less sensitive to the load rating than the stringers since their spans between piles are short and the caps act primarily in bearing. Therefore, replacement recommendations are based primarily on inspection observations and estimated lifespans and less upon which vehicle group is applied. For the 50-year lifespan, we recommend replacing all of the high-level caps. We estimate that caps in good condition will be suitable for up to 35 years. For the 35-year lifespan, we recommend replacing all of the caps with an observed defect plus 50% of the remaining existing caps considered to be in
Photo 1: Stringer group and high level cap
W i l
suitabconstdefecall for
PostsPostsgroundiscopurpomembembe
Founda
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-Ground Pile the verticalat Bents 1 –
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Figure 6:
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om the high-ps attached tonts 36-47 andriven piles abowest cap mege.
R e p o r t
dentified duriwith an obsewish to repla
-level cap dowo the piles. P
d 52-60. For tbove the lowembers and a
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ing erved ace them
wn to the Posts are the
west cap are
W i l b u r t o n T r e s t l e ( B r i d g e S A - 9 ) P r e l i m i n a r y D e s i g n R e p o r t 13
Posts and above-ground piles were analyzed for compression parallel to grain and end bearing. The area of decay was deducted from the load bearing area when calculating capacity. The maximum unbraced length of the post or pile was taken as the distance from the cap to the mid-height brace, approximately 10-15 feet. Looking northwest, the posts are labeled A, B, C, D,… from left to right. In our analysis, we distributed loads equally to each post. In our experience, it is infrequent that these members load rate below 1.0 for compression, except for cases where post have severe rot. The redundant nature of trestles and the compressive strength of timber typically result in adequate load carrying capacity. We analyzed individual posts and piles as well as trestle bents as conglomerate units, where appropriate. When considered as a unit, the total compressive area of the bent, less any decayed area in the piles at that bent, is compared against the total dead and live load. This approach is intended to capture load transfer from decayed piles to adjacent piles. When considered as a unit, all trestle bents have RF’s > 1.0 for all vehicles. When analyzing individual posts and piles, the tributary dead and live loads are applied to the member and compared against the compressive capacity, considering decay. This approach resulted in four piles with RF’s less than 1.0 – Bent 18 Pile 6F, Bent 25 Pile 6A, Bent 30 Pile 6A, and Bent 47 Pile 6B. Replacement Recommendations Only piles or posts with severe decay load rated less than 1.0, so the majority of replacement recommendations are based on estimating the remaining usable lifespan of the member. King County typically assigns a lifespan for piles of 60-72 years, so the existing bridge members are at the upper end of this range. However, many of the posts still appear in suitable condition for continued use. The number of existing members to be replaced depends on existing condition and desired lifespan. Our recommendations are based on estimating how long an existing member will remain in suitable condition before becoming severely deteriorated, and therefore no longer structurally sufficient. Our post and pile replacement recommendations are summarized as follows:
Up to 50-year lifespan – Replace posts with moderate deterioration or worse, as well as members with advanced checks and splits or worse as these can be conduits for water intrusion into member.
Up to 35-year lifespan – Replace posts with moderate, advanced, and severe deterioration. Up to 25-year lifespan – Replace all posts with severe or advanced deterioration.
Mid- and Low- Level Caps Mid- and low-level caps consist of 12”x12” members at Bents 35-47 and 52-60. The posts are sufficiently aligned above one another so that minimal to no shear or bending moments are produced. Based on our inspection and analysis, we recommend replacing several caps due to observed deterioration and in some cases, crushing beneath a portion of the post. While bearing
W i l b u r t o n T r e s t l e ( B r i d g e S A - 9 ) P r e l i m i n a r y D e s i g n R e p o r t 14
capacity appears to be sufficient, replacement should be done to meet the desired lifespan of the bridge. Our repair recommendations are based on the following:
Up to 50-year lifespan – Replace caps with moderate deterioration or worse, partially replace cap where end grain rot is observed, where significant checking was observed, and fully replace when a cap is crushing beneath the post;
Up to 35-year lifespan – Replace caps with moderate deterioration or worse, partially replace cap where end grain rot is observed, and fully replace when a cap is crushing beneath the post;.
Up to 25-year lifespan – Replace caps with advanced deterioration or worse, partially replace cap where end grain rot is observed, and fully replaced where the cap is crushing beneath a post.
Foundation Piles Foundation piles are the pile portion extending up from the ground to the lowest cap or main horizontal brace. Pile diameters at the ground level were primarily in the 12-inch range. Several bents had submerged foundation piles at the time of our inspection. We checked the piles at the water surface elevation and just below, and up to the low cap.
We observed moderate or advanced deterioration in several piles at Bents 9 - 12, 14, 15, 17, 22, 25, 28, 30, 31, 32, 33, 38, 42, 43, and 60. Even with this rot, our analysis indicates that the piles have sufficient capacity for all vehicle groups. However, we recommend replacing these piles, or a portion of them, to achieve desired remaining lifespan. Our basis for replacement is similar to that of posts and above-ground piles as described above. Our visual observations during inspection did not reveal any existing scour around the piles at Bent 41
within Richards Creek. It is unclear whether the creek channel has migrated horizontally during the lifespan of the bridge and how long the piles have been exposed to the stream. This will be an item for future monitoring. Lateral Bracing Lateral bracing members are critical to provide bracing for the posts and load distribution from lateral loads. These members were typically 3”x9” for the lateral bracing members and 4”x10” or 6”x 10” for the longitudinal bracing members. Our load rating assumes that all braces are connected and capable of providing lateral restraint to the posts. We sounded each bracing member to check for internal decay where accessible and visually inspected each member. We paid particular attention to the end condition of the brace to check for end grain rot or end splitting.
Photo 2: Foundation piles (partially submerged)
W i l b u r t o n T r e s t l e ( B r i d g e S A - 9 ) P r e l i m i n a r y D e s i g n R e p o r t 15
We observed numerous members with end grain rot or split ends and recommend replacing the entire length of brace with this condition. Braces with split ends were prevalent especially at Bents 35-47 and 52-60. These timbers were originally treated with Wolman salts as opposed to creosote like the other timbers. Steel Girders The steel girders are structurally sufficient but we are recommending repainting to extend their lifespan by preventing future corrosion from taking place. The existing paint system is about 44 years old and beginning to show areas of paint failure. Repainting requires full containment, cleaning/preparation, painting, and testing/disposal of containment waste. Approximately 25% of the paint surface has failed and specifically about 15% is in distress. Because of the scale of partial removal compared to full removal, the presence of lead paint, and the containment measures necessary over the roadway, the costs for partial removal and full removal are probably very similar and the partial removal option is not a significant benefit. Additionally lead paint would remain as part of the paint system. Therefore we recommend full removal and repainting.
Rehabilitation Cost and Constructability Rehabilitation Cost Summary The table below summarizes the estimated construction cost for the various vehicle groups, lifespans, and decking types. The cost tabulations are included in Appendix A – Cost Estimates and Preliminary Details.
Ve hic le Gro up
Ve hic le Us e
Es t im a te d Life S pa n
14 ' C o nc re te
D e c k
12 ' C o nc re te
D e c k
14 ' A s pha lt D e c k
12 ' A s pha lt D e c k
Up to 25 years
$ 5,511,138 $ 5,156,525 $ 4,946,700 $ 4,672,800
Up to 35 years
$ 7,394,475 $ 7,039,863 $ 6,830,038 $ 6,556,138
Up to 50 years
$ 9,293,900 $ 8,939,288 $ 8,729,463 $ 8,455,563
Up to 25 years
$ 5,059,175 $ 4,723,813 $ 4,494,738 $ 4,240,088
Up to 35 years
$ 6,942,513 $ 6,607,150 $ 6,378,075 $ 6,123,425
Up to 50 years
$ 9,140,450 $ 8,785,838 $ 8,576,013 $ 8,302,113
Up to 25 years
$ 5,059,175 $ 4,723,813 $ 4,494,738 $ 4,240,088
Up to 35 years
$ 6,942,513 $ 6,607,150 $ 6,378,075 $ 6,123,425
Up to 50 years
$ 9,140,450 $ 8,785,838 $ 8,576,013 $ 8,302,113
1
2
3
AASHTO H10, AASHTO
P edes trian Lo ad
Lo aded 10-yard
dumptruck
Truck + Tra ile r with 75,000 Lb.
Excava to r, AASHTO
HS20
Construction costs to replace and repair members will likely be influenced more by labor and equipment than by material costs. Labor and equipment costs will be higher than what would be
W i l b u r t o n T r e s t l e ( B r i d g e S A - 9 ) P r e l i m i n a r y D e s i g n R e p o r t 16
seen for most bridge rehabilitation work due to the difficult access and time-consuming nature of this work. Members located at mid-height or lower on the trestle will require considerably more time and effort to access and to install temporary shoring and bracing than members located at or near the deck level. We are currently working with King County on the Tokul Creek Trestle Rehabilitation project and recently went to bid on a trail project with City of Redmond involving a trestle rehabilitation over the Sammamish River. We have taken unit costs and construction approaches from those projects and applied them to Wilburton Trestle. Equipment and Access Ideally the contractor will have access along the side of the bridge to set up a crane. This will be the most efficient approach from a constructability standpoint. However, this may not be feasible due to the impact to sensitive areas or due to ground slopes, existing features, etc. If that approach is not feasible, a truck-mounted crane or a carry deck crane with a capacity of 3-4 tons could be placed on the deck to remove, set, or deliver the majority of the materials. The crane can sit on a temporary platform on top of the stringers (see photo below). Work could progress from one end of the bridge so that the crane is always setting up on a refurbished bent with appropriately spaced stringers.
Other equipment that will be employed will likely be man buckets that can be raised or lowered for worker access as well as adjustable shore posts for cap, post, and pile repair. Since the bridge crosses a slough and sensitive natural area, it should be confirmed during final design whether the contractor can gain access alongside of the bridge with equipment. This will have an impact on the construction cost. Our cost estimates are based on access primarily from the deck.
Concrete Deck, Stringers, and High Level Cap Replacement This work will be fairly straightforward due to ease of access from the deck. If concrete planks are proposed, the weight of the plank versus capacity of the crane will need to be verified. This work will involve removing and replacing concrete planks, or timbers and asphalt, rails, stringers, and high level caps as well as disassembling and reassembling lateral braces. Equipment and personnel will access this work from the bridge deck. Each stringer to be replaced is roughly 15.5 feet long and is supported by two trestle bents. The high level caps will be replaced concurrently with the stringers and it is also likely that the contractor will elect to perform all the work on one bent at a time. If this is done, some disassembly and re-assembly time for the stringers and decking will be shared with the repairs on the lower portions of the bent. Posts Our costs assume that deteriorated posts will be fully replaced. Installing a splice appears to present a slight cost savings, but we believe the value of having a new post outweighs the cost savings. Work access and shoring installation represent the bulk of the cost for post repair. Disassembling and re-
Photo 3: Work access from deck (Tokul Creek Trestle)
W i l b u r t o n T r e s t l e ( B r i d g e S A - 9 ) P r e l i m i n a r y D e s i g n R e p o r t 17
assembling lateral bracing will require additional time. Based on our experience, the contractor will prefer to shore off of the ground or if that is not possible they may shore off of the cap level below. Shoring is necessary to release the load off of the member to be replaced. Mid- Level Caps We anticipate that access to these members will be similar to that of the posts with material, personnel, and tools being lowered from the deck level. We recommend fully replacing the caps rather than partial replacement due to significant deterioration along their length. Each post will have to be temporarily supported during cap replacement, and therefore the shoring system will be more expensive and time consuming than for posts. Friction collars will likely be employed for this temporary support where numerous posts need to be lifted off of the cap for replacement. Piles Pile repair will consist of removing only the length of exposed decayed pile above ground and splicing on a new section. We are not proposing to drive any new piles. The cap beam, along with posts above, that bears on the pile will need to be temporarily shored. This work may have to be done in wet conditions and it should be anticipated that small cofferdams will be installed around the piles to dewater to ground level. Lateral Bracing Replacing lateral braces will require disassembly of the existing brace and lowering new material from the deck. The braces will be lighter and easier to handle than the posts or mid-level caps. Lateral bracing members could be accessed from either the deck or the ground, depending on where the braces are located. We anticipate minimal temporary shoring, if any when replacing lateral braces. The construction documents should include a construction sequence and approach information that clearly defines the limitations that the contractor must follow. This should include, at a minimum, maximum construction loads on the deck, sequencing requirements, and the submittal requirements for a demolition and construction plan to be prepared by the contractor’s engineer.
Additional Member Replacement Our cost estimate includes a line item for an extra 10% of the proposed timber quantities. During construction of the trestle repair, each member that is detached and re-installed, or exposed during detachment of adjacent members, should be inspected by a qualified inspector to check for decay or deterioration not previously found. Given the age of the bridge and number of bridge components, it is possible that members in addition to those specified in the contract quantities, will need to be replaced. The contractor can be compensated for this work in a number of ways – per unit price if the quantity does not exceed 25% of original contract quantity (in the case of a WSDOT contract) , by negotiated unit price, by force account, or by having the contractor purchase additional materials at the beginning of the work. Larger treated timber material typically has a long lead time. We recommend including in the contract extra material for the contractor to furnish and have on hand. Having this on hand will
W i l b u r t o n T r e s t l e ( B r i d g e S A - 9 ) P r e l i m i n a r y D e s i g n R e p o r t 18
avoid delays in construction if additional material needs to be ordered. The contract should have language that defines how the contractor will be paid if this material is then installed due to unforeseen condition.
Continued Monitoring and Maintenance Due to the nature of timber structures exposed to the environment, decay will continue to occur regardless of the level of rehabilitation done. Inspection of both newly installed members and existing members should continue to occur at regular intervals established by King County, and maintenance performed as necessary.
Full Bridge Replacement Full replacement of the bridge was not part of the scope of work nor was it discussed with the King County. Wilburton Trestle is a historic structure and preservation is the preferred option. If the County desires, a comparison of the lifespan of a new bridge, which is on the order of 75 years, and its associated cost could be done against the lifespan of the selected repair alternative and its associated cost.
Appendices The following appendices are included as part of this report: Appendix A - Cost estimate tabulations and the repair schedules per bridge component. - Concept-level typical deck sections and trestle bent elevations with repairs of various
substructure components. Appendix B - As-built drawings of the bridge. Appendix C - Load rating calculations.
Appendix A – Cost Estimates
Alternatives Matrix Wilbutron Trestle Rehabilitation Cost Estimate
Bridge # SA‐93/10/16 King County Department of Natural Resources and Parks
The following are the alternativs we considered:
Vehicle Groups
Group 1Truck + Trailer with 75,000
Lb. Excavator, AASHTO
Group 2Loaded 10‐yard
dumptruck
Group 3AASHTO H10, AASHTO
Pedestrian Load
Lifespan Options
Up to 25 years
Up to 35 years
Up to 50 years
Deck Type Options
Concrete deck
Asphalt wearing surface
Deck Width Options
12 feet
14 feet
STRUCTURE COST ITEMS ‐ ALL VEHICLES
Vehicle Group Vehicle Use Estimated Life Span 14' Concrete Deck 12' Concrete Deck 14' Asphalt Deck 12' Asphalt Deck
Up to 25 years 5,511,138$ 5,156,525$ 4,946,700$ 4,672,800$
1 Up to 35 years 7,394,475$ 7,039,863$ 6,830,038$ 6,556,138$
Up to 50 years 9,293,900$ 8,939,288$ 8,729,463$ 8,455,563$
Up to 25 years 5,059,175$ 4,723,813$ 4,494,738$ 4,240,088$
2 Up to 35 years 6,942,513$ 6,607,150$ 6,378,075$ 6,123,425$
Up to 50 years 9,140,450$ 8,785,838$ 8,576,013$ 8,302,113$
Up to 25 years 5,059,175$ 4,723,813$ 4,494,738$ 4,240,088$
3 Up to 35 years 6,942,513$ 6,607,150$ 6,378,075$ 6,123,425$
Up to 50 years 9,140,450$ 8,785,838$ 8,576,013$ 8,302,113$
Truck + Trailer with 75,000
Lb. Excavator, AASHTO
HS20
Loaded 10‐yard
dumptruck
AASHTO H10, AASHTO
Pedestrian Load
Estimated Construction Cost
K:\project\32400\32499A\Structures\Cost Estimate\Final\RepairSummary&Costs_Final.xlsx 3/10/2016
A-1
Rep
air Cost Estim
ate Tabulation
Wilb
utron Trestle Rehab
ilitation Cost Estim
ate
Bridge
# SA‐9
3/10/16
King County Departm
ent of Natural R
esources an
d Parks
STRUCTU
RE COST ITEM
S ‐ ALL VEH
ICLES
Item
Unit
Quantity
Unit Cost
Total
Quantity
Unit Cost
Total
Quantity
Unit Cost
Total
TESC
LS1
45,000
$
45,000
$
155,000
$
55,000
$
165,000
$
65,000
$
SPCC
LS1
5,000
$
5,000
$
15,000
$
5,000
$
15,000
$
5,000
$
Construction Survey
LS1
8,000
$
8,000
$
110,000
$
10,000
$
112,000
$
12,000
$
Restoration
LS1
6,000
$
6,000
$
18,000
$
8,000
$
110,000
$
10,000
$
Bridge Railing
LF1950
135
$
263,300
$
1950
135
$
263,300
$
1950
135
$
263,300
$
High Level Cap
Rep
lacemen
tEA
33
5,000
$
165,000
$
48
5,000
$
237,500
$
62
5,000
$
310,000
$
Mid and Low‐Level Cap
Rep
lacemen
tEA
21.5
20,000
$
430,000
$
24.5
20,000
$
490,000
$
46
20,000
$
910,000
$
Square Post Rep
lacemen
tEA
914,000
$
126,000
$
19
14,000
$
266,000
$
40
14,000
$
560,000
$
Above Ground Pile Rep
lacemen
t and Splice
EA28
10,000
$
280,000
$
76
10,000
$
760,000
$
103
10,000
$
1,030,000
$
Foundation Pile Rep
lacemen
tEA
420,000
$
80,000
$
14
20,000
$
280,000
$
17
20,000
$
340,000
$
3x10 Lateral Bracing
LF2179
55
$
119,900
$
4340
55
$
238,700
$
5132
55
$
282,300
$
6x10 Longitudinal Bracing
LF2819
75
$
211,500
$
3643
75
$
273,300
$
4072
75
$
305,400
$
6x12 Cross Bracing at Cap
Levels
LF1370
80
$
109,600
$
2536
80
$
202,900
$
3010
80
$
240,800
$
Steel G
irder Painting
LS1
250,000
$
250,000
$
1250,000
$
250,000
$
1250,000
$
250,000
$
Extra Material O
n Hand and Installation (10%)
LS1
152,200
$
152,200
$
1274,840
$
274,900
$
1397,850
$
397,900
$
Treated Tim
ber Disposal (Excl. Stringers)
TON
169
200
$
33,800
$
202
200
$
40,400
$
273
200
$
54,700
$
SUBTO
TAL
2,285,300
$
3,655,000
$
5,036,400
$
DEC
KING COSTS ‐ ALL VEH
ICLES
Item
Unit
Quantity
Unit Cost
Total
Quantity
Unit Cost
Total
Quantity
Unit Cost
Total
Concrete Deck (12' W
ide Trail)
SF11700
75
$
877,500
$
11700
75
$
877,500
$
11700
75
$
877,500
$
Asphalt Deck (12' W
ide Trail)
SF11700
45
$
525,700
$
11700
45
$
525,700
$
11700
45
$
525,700
$
Concrete Deck (14' W
ide Trail)
SF13650
75
$
1,023,800
$
13650
75
$
1,023,800
$
13650
75
$
1,023,800
$
Asphalt Deck (14' W
ide Trail)
SF13650
45
$
613,300
$
13650
45
$
613,300
$
13650
45
$
613,300
$
STRINGER
COSTS ‐ GROUP 1 VEH
ICLES
(Glu‐lam
Stringers)
(Glu‐lam
Stringers)
(Glu‐lam
Stringers)
Item
Unit
Quantity
Unit Cost
Total
Quantity
Unit Cost
Total
Quantity
Unit Cost
Total
Stringer Rep
lacemen
t (12' W
ide Trail)
LF4650
120
$
587,400
$
4650
120
$
587,400
$
4650
120
$
587,400
$
Strin
ger D
isposal
TON
147
200
$
29,400
$
147
200
$
29,400
$
147
200
$
29,400
$
Stringer Rep
lacemen
t (14' W
ide Trail)
LF5580
120
$
699,000
$
5580
120
$
699,000
$
5580
120
$
699,000
$
Strin
ger D
isposal
TON
147
200
$
29,400
$
147
200
$
29,400
$
147
200
$
29,400
$
Up to 50 years
Up to 25 years
Up to 35 years
Up to 25 years
Up to 35 years
Up to 50 years
Up to 25 years
Up to 35 years
Up to 50 years
K:\project\32400\32499A\Structures\Cost Estim
ate\Final\Rep
airSummary&
Costs_Final.xlsx
3/10/2016
A-2
Rep
air Cost Estim
ate Tabulation
Wilb
utron Trestle Rehab
ilitation Cost Estim
ate
Bridge
# SA‐9
3/10/16
King County Departm
ent of Natural R
esources an
d Parks
STRINGER
COSTS ‐ GROUP 2 VEH
ICLES
(Re‐use Existing plus New
Solid
Saw
n Stringers)
(Re‐use Existing plus New
Solid
Saw
n Stringers)
(Glu‐lam
Stringers)
Item
Unit
Quantity
Unit Cost
Total
Quantity
Unit Cost
Total
Quantity
Unit Cost
Total
Stringer Rep
lacemen
t (12' W
ide Trail)
LF2454
105
$
272,700
$
2454
105
$
272,700
$
3720
120
$
475,800
$
Strin
ger D
isposal
TON
75200
$
15,000
$
75200
$
15,000
$
147
200
$
29,400
$
Stringer Rep
lacemen
t (14' W
ide Trail)
LF3384
105
$
370,300
$
3384
105
$
370,300
$
4,650.00
120
$
587,400
$
Strin
ger D
isposal
TON
75200
$
15,000
$
75200
$
15,000
$
146.74
200
$
29,400
$
STRINGER
COSTS ‐ GROUP 3 VEH
ICLES
(Re‐use Existing plus New
Solid
Saw
n Stringers)
(Re‐use Existing plus New
Solid
Saw
n Stringers)
(Glu‐lam
Stringers)
Item
Unit
Quantity
Unit Cost
Total
Quantity
Unit Cost
Total
Quantity
Unit Cost
Total
Stringer Rep
lacemen
t (12 foot trail)
LF2454
105
$
272,700
$
2454
105
$
272,700
$
3720
120
$
475,800
$
Strin
ger D
isposal
TON
75200
$
15,000
$
75200
$
15,000
$
147
200
$
29,400
$
Stringer Rep
lacemen
t (14 foot trail)
LF3384
105
$
370,300
$
3384
105
$
370,300
$
4,650.00
120
$
587,400
$
Strin
ger D
isposal
TON
75200
$
15,000
$
75200
$
15,000
$
147
200
$
29,400
$
TOTA
L CONSTRUCTION COST PER
VEH
ICLE GROUP AND DEC
KING OPTION
Addition Project Costs Include:
Mobilization
10%
Contingency
25%
Lifespan
14' W
ide Trail ‐
Concrete
12' W
ide Trail ‐
Concrete
14' W
ide Trail ‐
Asphalt
12' W
ide Trail ‐
Asphalt
Up to 25 years
5,511,138
$
5,156,525
$
4,946,700
$
4,672,800
$
Up to 35 years
7,394,475
$
7,039,863
$
6,830,038
$
6,556,138
$
Up to 50 years
9,293,900
$
8,939,288
$
8,729,463
$
8,455,563
$
Up to 25 years
5,059,175
$
4,723,813
$
4,494,738
$
4,240,088
$
Up to 35 years
6,942,513
$
6,607,150
$
6,378,075
$
6,123,425
$
Up to 50 years
9,140,450
$
8,785,838
$
8,576,013
$
8,302,113
$
Up to 25 years
5,059,175
$
4,723,813
$
4,494,738
$
4,240,088
$
Up to 35 years
6,942,513
$
6,607,150
$
6,378,075
$
6,123,425
$
Up to 50 years
9,140,450
$
8,785,838
$
8,576,013
$
8,302,113
$
Construction Cost Notes:
Costs are in Spring 2016 dollars
Costs do not include any utility relocations
Costs do not include final engineering or construction administration
Up to 25 years
Group 1 Veh
icles
Group 2 Veh
icles
Group 3 Veh
icles
Up to 35 years
Up to 50 years
Up to 25 years
Up to 35 years
Up to 50 years
K:\project\32400\32499A\Structures\Cost Estim
ate\Final\Rep
airSummary&
Costs_Final.xlsx
3/10/2016
A-3
Stringer Rep
air Summary and Unit Cost
Wilbutron Trestle Rehab
ilitation Cost Estim
ate
Bridge
# SA‐9
3/10/16
King County Departm
ent of Natural R
esources an
d Parks
Assumptions:
Rep
lace all stringers with observed
defect for all cases.
Reconfigure stringer layout.
For Veh
icle Group 1, rem
ove and rep
lace all stringers for all design lifespan
s. Rep
lace with Glu‐lam
beams.
For a 50‐year lifespan
, rem
ove and rep
lace all stringers for all veh
icle groups.
For Veh
icle Groups 2 and 3 and lifespan
up to 35 years, re‐use existing stringers with no defect but assume 33% additional stringers need rep
lacing as determined
during construction.
Lifespan
of new
stringer
50
years
Rem
aining lifespan
of existing stringer with no observed
defect
25
years
Input:
Total number of stringers
396
Total number of stringer span
s60
Number of stringers with defect observed
106
Num
ber o
f stringers with
severe deterioratio
n ob
served
13
Num
ber o
f stringers with
advan
ced deterio
ratio
n ob
served
7
Num
ber o
f stringers with
mod
erate deterio
ratio
n ob
served
30
Num
ber o
f stringers with
minor deterioratio
n ob
served
24
Number of stringers with other form
of defect observed
32
Total number of au
xilary stringers
42
Required Stringer Configuration for Different Options
Veh
icle Group #
Veh
icles
Deck Width
Minim
um No. o
f Solid
Sawn Stringers
Minim
um No. o
f Glu‐Lam
Stringers
14
76
12
65
14
75
12
64
14
65
12
54
1
Truck + Trailer with
75,000 Lb. Excavator,
AASH
TO HS20
2Load
ed 10‐yard
dumptruck
3AASH
TO H10, A
ASH
TO
Ped
estrian Load
K:\project\32400\32499A\Structures\Cost Estim
ate\Final\RepairSummary&
Costs_Final.xlsx
3/10/2016
A-4
Stringer Rep
air Summary and Unit Cost
Wilbutron Trestle Rehab
ilitation Cost Estim
ate
Bridge
# SA‐9
3/10/16
King County Departm
ent of Natural R
esources an
d Parks
Removal and Replacement Quan
tities for Different Options
Veh
icle Group #
Veh
icles
Lifespan
No. o
f Existing Stringers to
be Rem
oved
No. o
f New
Stringers to be
Installed
No. o
f Existing Stringers to
be Rem
oved
No. o
f New
Stringers to be
Installed
Up to 25 years
396
360
396
300
Up to 35 years
396
360
396
300
Up to 50 years
396
360
396
300
Up to 25 years
202
218
202
158
Up to 35 years
202
218
202
158
Up to 50 years
396
300
396
240
Up to 25 years
202
218
202
158
Up to 35 years
202
218
202
158
Up to 50 years
396
300
396
240
12 foot wide deck
Rep
lace all stringers
Rep
lace stringers with observed
defect plus 33% of remaining
Rep
lace only stringers with observed
defect + 33% rem
aining stringers
Rep
lace all stringers
Rep
lace stringers with observed
defect plus 33% of remaining
Rep
lace only stringers with observed
defect + 33% rem
aining stringers
Rep
lace all stringers
14 foot wide deck
Rep
lace all stringers
Rep
lace all stringers
Recommen
dation
3AASH
TO H10, A
ASH
TO
Ped
estrian Load
1
Truck + Trailer with
75,000 Lb. Excavator,
AASH
TO HS20
2Load
ed 10‐yard
dumptruck
K:\project\32400\32499A\Structures\Cost Estim
ate\Final\RepairSummary&
Costs_Final.xlsx
3/10/2016
A-5
Stringer Rep
air Summary and Unit Cost
Wilbutron Trestle Rehab
ilitation Cost Estim
ate
Bridge
# SA‐9
3/10/16
King County Departm
ent of Natural R
esources an
d Parks
Veh
icle Group #
Veh
icles
Lifespan
Disposal Q
uan
tity (TO
N)
Stringer Quan
tity (LF)
Disposal Q
uan
tity (TO
N)
Stringer Quan
tity (LF)
Up to 25 years
147
5580
147
4650
Up to 35 years
147
5580
147
4650
Up to 50 years
147
5580
147
4650
Up to 25 years
75
3384
75
2454
Up to 35 years
75
3384
75
2454
Up to 50 years
147
4650
147
3720
Up to 25 years
75
3384
75
2454
Up to 35 years
75
3384
75
2454
Up to 50 years
147
4650
147
3720
Unit Costs
Disposal of Creosote Treated
Timber
TON
200.00
$
Unit costs from Tokul Creek Trestle Bid Tab
as a guide
Solid
Saw
n Stringer
LF105.00
$
Glu‐Lam
Stringer Stringer
LF120.00
$
1 2 3
Truck + Trailer with
75,000 Lb. Excavator,
AASH
TO HS20
Load
ed 10‐yard
dumptruck
AASH
TO H10, A
ASH
TO
Ped
estrian Load
14 foot wide deck
12 foot wide deck
Use
Tokul Creek Trestle bid tab
as a guide but reduce unit price since Tokul unit prices included
removal of existing concrete planks.
K:\project\32400\32499A\Structures\Cost Estim
ate\Final\RepairSummary&
Costs_Final.xlsx
3/10/2016
A-6
Post and Pile Repair Summary and Unit Cost Wilbutron Trestle Rehabilitation Cost Estimate
Bridge # SA‐9
3/10/16 King County Department of Natural Resources and Parks
Assumptions and Approach:
Replace full length of square posts (no mid‐height splices)
Replace full pile section between cap, splice at cap
Key (from field observations):LR ‐ Light RotMR ‐ Moderate RotAR ‐ Advanced RotSR ‐ Severe RotAC ‐ Advanced CheckingSC ‐ Severe Checking
For 25 year lifespan, replace posts and piles with advanced or severe rot (AR, SR)For 35 year lifespan, replace posts and piles with severe rot, advanced rot, and moderate rot (SR, AR, MR)For 50 year lifespan, replace posts with severe rot, severe checking, advanced rot, advanced checking, and moderate rot(SR, SC, AR, AC, MR)
Bent Pile # LevelInspection
ObservationStart End
Square /
RoundFdn. Pile?
Above Ground
Post or PileFdn. Pile
Above Ground
Post or PileFdn. Pile
Above Ground
Post or PileFdn. Pile
3 B‐1 1 MR 0 3 round 1 1
3 C‐1 1 MR 0 3 round 1 1
4 C‐1 1 MR 0 3 round 1 1
5 B‐1 1 LR 1 8 round6 A‐1 1 MR 2 7 round 1 1
7 B‐1 1 LR 2 3 round
7 B‐2 2 LR 0 2 round
8 A‐2 2 MR 0 2 round 1 1
9 B‐1 1 MR round 1 1
9 B‐3 3 MR 0 1 round 1 1 1 1 1
9 C‐3 3 LR round 1
9 F‐3 3 LR 0 2 round 1
10 A‐1 1 AR ‐2 10 round 1 1 1
10 B‐2 2 MR 0 6 round 1 1
10 E‐2 2 LR 2 5 round
10 A‐3 3 AR 0 5 round 1 1 1 1 1 1 1
10 B‐3 3 MR 0 2 round 1 1 1 1 1
10 F‐3 3 MR 0 3 round 1 1 1 1 1
11 A‐1 1 LR 2 5 round
11 E‐2 2 MR 3 6+ round 1 1
11 A‐3 3 LR 0 2 round 1
12 A‐1 1 MR 4 10+ round 1 1
12 G‐1 1 LR ‐1 10+ round
12 D‐2 2 MR 1 4 round 1 1
12 A‐3 3 MR 0 3 round 1 1 1 1 1
13 B‐1 1 MR 2 8+ round 1 1
13 F‐2 2 LR 1 4 round
14 A‐1 1 AR ‐2 10+ round 1 1 1
14 E‐1 1 LR ‐2 10+ round
14 E‐2 2 MR 4 10 round 1 1
14 F‐2 2 AR 0 10+ round 1 1 1
14 B‐3 3 BR ‐2 8 round
14 D‐4 4 LR round 1
15 A‐1 1 AR ‐2 8 round 1 1 1
15 D‐1 1 LR 2 10 round
15 F‐1 1 LR 2 5 round
15 A‐2 2 AR 0 10 round 1 1 1
15 D‐2 2 LR 0 10+ round
15 A‐2 2 AR 0 10+ round 1 1 1
15 D‐2 2 LR 0 10+ round
15 A‐3 3 LR ‐2 6 round
15 D‐3 3 AC 0 14 round 1
15 A‐4 4 LR 0 2 round 1
15 B‐4 4 LR 0 2 round 1
16 A‐1 1 LR 0 7 round
16 D‐1 1 MR ‐2 10+ round 1 1
16 D‐2 2 LR 0 10 round
16 F‐2 2 MR 4 8 round 1 1
16 D‐3 3 LR 4 6 round
16 E‐3 3 LR 0 15+ round
17 B‐1 1 AR 0 7+ round 1 1 1
17 E‐1 1 AC FH round 1
17 F‐1 1 AC 0 10 round 1
17 A‐2 2 LR 0 6 round
Replacement Schedule
50 Year 35 Year 25 Year
K:\project\32400\32499A\Structures\Cost Estimate\Final\RepairSummary&Costs_Final.xlsx 3/10/2016
A-7
Post and Pile Repair Summary and Unit Cost Wilbutron Trestle Rehabilitation Cost Estimate
Bridge # SA‐9
3/10/16 King County Department of Natural Resources and Parks
Assumptions and Approach:
Replace full length of square posts (no mid‐height splices)
Replace full pile section between cap, splice at cap
Key (from field observations):LR ‐ Light RotMR ‐ Moderate RotAR ‐ Advanced RotSR ‐ Severe RotAC ‐ Advanced CheckingSC ‐ Severe Checking
For 25 year lifespan, replace posts and piles with advanced or severe rot (AR, SR)For 35 year lifespan, replace posts and piles with severe rot, advanced rot, and moderate rot (SR, AR, MR)For 50 year lifespan, replace posts with severe rot, severe checking, advanced rot, advanced checking, and moderate rot(SR, SC, AR, AC, MR)
Bent Pile # LevelInspection
ObservationStart End
Square /
RoundFdn. Pile?
Above Ground
Post or PileFdn. Pile
Above Ground
Post or PileFdn. Pile
Above Ground
Post or PileFdn. Pile
Replacement Schedule
50 Year 35 Year 25 Year
17 B‐2 2 MR 0 6 round 1 1
17 D‐2 2 AC 0 10 round 1
17 E‐2 2 AC 0 10 round 1
17 F‐2 2 LR 4 10 round
17 A‐3 3 MR 0 5 round 1 1
17 D‐4 4 AC 0 4 round 1 1 1
18 F‐1 1 AR ‐1 10 round 1 1 1
18 A‐2 2 MR 0 6 round 1 1
18 F‐2 2 SR 0 10 round 1 1 1
18 A‐3 3 LR 0 2 round
18 F‐3 3 LR 2 4 round
19 C‐1 1 AC ‐15 10 round 1
19 F‐1 1 AR 0 7 round 1 1 1
19 B‐2 2 AC ‐4 10 round 1
19 F‐2 2 AR 2 10 round 1 1 1
20 A‐3 3 LR 0 2 round
21 A‐1 1 AR 8 10 round 1 1 1
21 B‐1 1 LR 6 10 round
21 D‐1 1 AC FH round 1
21 D‐2 2 SC ‐5 15 round 1
22 A‐1 1 MR ‐2 10 round 1 1
22 C‐1 1 AC ‐20 0 round 1
22 A‐2 2 AR 0 6 round 1 1 1
22 A‐3 3 MR 0 6 round 1 1
22 A‐4 4 AC 0 6 round 1 1 1
22 C‐4 4 MR 0 3 round 1 1 1 1 1
23 A‐1 1 LR ‐2 0 round
23 F‐1 1 MR ‐2 10 round 1 1
23 F‐2 2 LR 0 3 round
24 A‐1 1 MR ‐2 6 round 1 1
24 A‐2 2 AR 0 10 round 1 1 1
24 D‐2 2 SC FH round 1
24 A‐3 3 AR 0 6 round 1 1 1
24 B‐3 3 MR 0 3 round 1 1
24 D‐3 3 SC FH round 1
24 D‐4 4 SC FH round 1 1
25 B‐1 1 AR ‐15 0 round 1 1 1
25 F‐1 1 AR ‐1 10 round 1 1 1
25 B‐2 2 AR ‐2 8 round 1 1 1
25 C‐2 2 MR 3 6 round 1 1
25 D‐2 2 AC ‐5 10 round 1
25 E‐2 2 LR 0 9 round
25 A‐3 3 AR 0 20 round 1 1 1
25 A‐4 4 AR 0 10 round 1 1 1 1 1 1 1
26 A‐1 1 MR ‐2 0 round 1 1
26 A‐1 1 MR ‐1 10 round 1 1
26 B‐1 1 MR ‐1 10 round 1 1
26 A‐2 2 MR ‐1 10 round 1 1
26 B‐2 2 LR ‐1 10 round
26 B‐3 3 MR 0 8 round 1 1
26 D‐3 3 MR ‐2 0 round 1 1
27 D‐1 1 MR 0 12 round 1 1
27 A‐3 3 LR 2 4 round
28 C‐1 1 AC FH round 1
28 D‐1 1 AC FH round 1
28 C‐2 2 SC ‐1 7 round 1
28 D‐2 2 AC FH round 1
28 E‐3 3 AR 0 5 round 1 1 1
28 E‐4 4 AR 0 8 round 1 1 1
29 B‐1 1 MR 1 6 round 1 1
29 D‐1 1 AC ‐20 0 round 1
29 E‐1 1 MR 1 6 round 1 1
29 B‐2 2 AR ‐2 8 round 1 1 1
29 D‐2 2 AC ‐2 8 round 1
29 E‐2 2 AR ‐2 8 round 1 1 1
29 B‐3 3 MR 0 8 round 1 1
29 E‐3 3 MR 0 2 round 1 1
30 A‐1 1 LR ‐1 10 round
30 E‐1 1 AC FH round 1
30 F‐1 1 MR 2 8 round 1 1
30 A‐2 2 SR ‐1 10 round 1 1 1
30 F‐2 2 MR 0 6 round 1 1
30 A‐3 3 LR 0 6 round
K:\project\32400\32499A\Structures\Cost Estimate\Final\RepairSummary&Costs_Final.xlsx 3/10/2016
A-8
Post and Pile Repair Summary and Unit Cost Wilbutron Trestle Rehabilitation Cost Estimate
Bridge # SA‐9
3/10/16 King County Department of Natural Resources and Parks
Assumptions and Approach:
Replace full length of square posts (no mid‐height splices)
Replace full pile section between cap, splice at cap
Key (from field observations):LR ‐ Light RotMR ‐ Moderate RotAR ‐ Advanced RotSR ‐ Severe RotAC ‐ Advanced CheckingSC ‐ Severe Checking
For 25 year lifespan, replace posts and piles with advanced or severe rot (AR, SR)For 35 year lifespan, replace posts and piles with severe rot, advanced rot, and moderate rot (SR, AR, MR)For 50 year lifespan, replace posts with severe rot, severe checking, advanced rot, advanced checking, and moderate rot(SR, SC, AR, AC, MR)
Bent Pile # LevelInspection
ObservationStart End
Square /
RoundFdn. Pile?
Above Ground
Post or PileFdn. Pile
Above Ground
Post or PileFdn. Pile
Above Ground
Post or PileFdn. Pile
Replacement Schedule
50 Year 35 Year 25 Year
30 A‐4 4 MR 0 4 round 1 1 1 1 1
31 A‐4 4 MR 2 5 round 1 1 1 1 1
32 B‐1 1 LR 0 8 round
32 E‐2 2 MR ‐2 4 round 1 1
32 C‐3 3 AR 0 3 round 1 1 1
32 F‐3 3 LR 2 4 round
32 A‐4 4 MR 0 2 round 1 1 1 1 1
32 C‐4 4 AR 0 3 round 1 1 1 1 1 1 1
33 B‐4 4 MR 0 1 round 1 1 1 1 1
34 A‐1 1 MR ‐1 6 round 1 1
34 D‐1 1 AC FH round 1
34 A‐2 2 MR 0 6 round 1 1
34 D‐3 3 LR 2 6 round
35 A‐1 1 SC FH Square 1
35 D‐3 3 AC 0 8 Square 1
35 A‐5 5 AC FH Square 1
37 C‐1 1 MR ‐1 8 Square 1 1
37 A‐4 4 MR Square 1 1
37 F‐5 5 LR
39 A‐2 2 AC FH Square 1
40 B‐1 1 AC ‐10 0 Square 1
40 B‐2 2 MR 0 2 Square 1 1
40 B‐2 2 MR 0 3 Square 1 1
41 A‐2 2 AC 0 1 Square 1
41 D‐3 3 AC 0 1.5 Square 1
42 A‐2 2 MR 0 2 Square 1 1
42 B‐3 3 AC FH Square 1
42 D‐3 3 AC Square 1
42 A‐5 5 AC FH Square 1 1 1
42 F1‐5 5 AR FH Square 1 1 1 1 1
43 A‐1 1 SC FH Square 1
43 C‐2 2 AC 0 3 Square 1
43 A‐3 3 AC FH Square 1
43 B‐5 5 AR 0 3 Square 1 1 1 1 1 1 1
44 F‐2 2 AC 0 1 Square 1
44 B‐3 3 MR 0 2 Square 1 1
45 C‐2 2 AC FH Square 1
46 C‐1 1 AC 0 2 Square 1
46 E‐1 1 AC FH Square 1
46 A‐2 2 AC FH Square 1
46 C‐3 3 S FH Square
47 B‐2 2 SR 0 3 Square 1 1 1
47 E‐2 2 SR 0 1 Square 1 1 1
52 B‐3 3 AR 0 1 Square 1 1 1
53 B‐1 1 AC FH Square 1
53 D‐1 1 LR 0 2 Square
54 A‐1 1 MR 0 ‐1 Square 1 1
54 B‐1 1 MR 0 6 Square 1 1
55 C‐1 1 AR 0 1 Square 1 1 1
57 A‐1 1 AR 0 1 Square 1 1 1
57 D‐2 2 AR 0 2 Square 1 1 1
58 D‐1 1 AR 8 10 Square 1 1 1
59 D‐1 1 AC FH Square 1
60 C‐1 1 AC FH Square 1
60 D‐1 1 MR 0 4 Square 1 1
60 E‐3 3 MR FH Square 1 1 1 1
Total # Above Ground Piles at Bents 1 ‐ 35 103 76 28
Total # Square Posts Bents 36 ‐ 61 40 19 9
Total # Fdn Piles Into Ground Bents 17 14 4
Summary ‐ Square Post Replacement (Bents 36 ‐ 61)
LifespanEstimated Post
ReplacementsUnit Costs Disposal Quantity
Up to 25 years 9 14,000.00$ 5
Up to 35 years 19 14,000.00$ 11
Up to 50 years 40 14,000.00$ 23
Summary ‐ Piles Above Bottom Cap (Bents 1 ‐ 35)
LifespanTotal Estimated Post
Replacements*Unit Costs Disposal Quantity
Up to 25 years 28 10,000.00$ 12
Up to 35 years 76 10,000.00$ 34
Up to 50 years 103 10,000.00$ 45
*Unit Costs Include Splice Req'd Btwn. Post Sections at Cap Locations
Summary ‐ Foundation Piles
Lifespan
Total Estimated
Foundation Pile
Replacements
Unit Costs Disposal Quantity
Up to 25 years 4 20,000.00$ 0
Up to 35 years 14 20,000.00$ 1
Up to 50 years 17 20,000.00$ 2
Costs include removal of exposed existing pile and installation of concrete footing
with pin piles
K:\project\32400\32499A\Structures\Cost Estimate\Final\RepairSummary&Costs_Final.xlsx 3/10/2016
A-9
Cap Repair Summary and Unit Cost Wilbutron Trestle Rehabilitation Cost Estimate
Bridge # SA‐93/10/16 King County Department of Natural Resources and Parks
Assumptions and Approach:
Replace full length of cap
Key (from field observations):
S ‐ Split
C ‐ Crushing
LR ‐ Light Rot
MR ‐ Moderate Rot
AR ‐ Advanced Rot
SR ‐ Severe Rot
AC ‐ Advanced Checking
SC ‐ Severe Checking
MC ‐ Moderate checking
LC ‐ Light checking
Top‐most cap (Cap 0) Replacement:For 25 year lifespan, replace caps with observed defect
For 35 year lifespan, replace all caps with observed defect plus 50% remaining
For 50 year lifespan, replace all caps
BentInspection
Observation50‐year 35‐year 25‐year
1 1
2 S 1 1 1
3 1
4 1
5 1
6 1
7 1
8 1
9 MR 1 1 1
10 1
11 1
12 MR 1 1 1
13 MR 1 1 1
14 1
15 C 1 1 1
16 1
17 1
18 MR 1 1 1
19 LR 1 1 1
20 1
21 LR 1 1 1
22 AR 1 1 1
23 1
24 MR 1 1 1
25 MR 1 1 1
Topmost cap (Cap 0) Replacements
K:\project\32400\32499A\Structures\Cost Estimate\Final\RepairSummary&Costs_Final.xlsx 3/10/2016
A-10
Cap Repair Summary and Unit Cost Wilbutron Trestle Rehabilitation Cost Estimate
Bridge # SA‐93/10/16 King County Department of Natural Resources and Parks
26 1
27 1
28 LR 1 1 1
29 MR 1 1 1
30 1
31 1
32 1
33 MC 1 1 1
34 MR 1 1 1
1
135 MR 1 1 1
36 AR 1 1 1
37 AR 1 1 1
38 AR 1 1 1
39 AR 1 1 1
40 AR 1 1 1
41 1
42 MR 1 1 1
43 AC 1 1 1
44 AR 1 1 1
45 AR 1 1 1
46 1
47 C 1 1 1
52 MR 1 1 1
53 LR 1 1 1
54 MR 1 1 1
55 AR 1 1 1
56 MR 1 1 1
57 1
58 1
59 AC 1 1 1
60 1
61 1
62 1
63 1
64 AR 1 1 1
Total Cap 0 62 48 33
Summary ‐ Top‐Most Cap Replacements
LifespanEstimated Top‐Most
Cap ReplacementsUnit Costs
Disposal
Quantity
25‐year 33 5,000.00$ 10
35‐year 48 5,000.00$ 15
50‐year 62 5,000.00$ 20
Unit costs from Tokul Creek Trestle Bid Tab
Bent
K:\project\32400\32499A\Structures\Cost Estimate\Final\RepairSummary&Costs_Final.xlsx 3/10/2016
A-11
Cap Repair Summary and Unit Cost Wilbutron Trestle Rehabilitation Cost Estimate
Bridge # SA‐93/10/16 King County Department of Natural Resources and Parks
Mid and Low‐Level Cap (Caps 1‐4) Replacement:
For 25 year lifespan, replace full length of caps with severe and advanced rot, partially replace cap for end grain rot
and fully replace for caps with crushing
For a 35 year lifespan, replace full length of caps with severe, advanced, and moderate rot, partially replace cap for end grain rot
and fully replace for caps with crushing
For a 35 year lifespan, replace full length of caps with severe, advanced, and moderate rot, partially replace cap for end grain rot
, fully replace for other defects such as checking, and fully replace for caps with crushing
Note: End grain rot (EGR) and light crushing (LC) are tabulated as half a cap replacement since these can be a local repair versus
a full cap replacement. This will result in half the cost of a full cap replacement.
Bent LevelInspection
Observation25‐year 35‐year 50‐year
Bent
36 1 LR
2 MC 1
3 MC 1
4 SR 1 1 1
36 1 MC 1
2 MC 1
3 EGR 0.5 0.5 0.5
4 AR 1 1 1
37 1 MC 1
2 MC 1
3 MC 1
4 AR 1 1 1
38 1 MC 1
3 EGR 0.5 0.5 0.5
4 AR 1 1 1
39 1 MC 1
2 MC 1
3 MC 1
4 AR 1 1 1
40 1 S
40 2 MC 1
3 MR 1 1
4 AEGR 0.5 0.5 0.5
41 1 MC 1
3 RS
4 SR 1 1 1
42 2 MC 1
3 SR 1 1 1
4 SR 1 1 1
43 2 MC 1
Mid and Low‐level Cap Beams (Caps 1 ‐ 4)
K:\project\32400\32499A\Structures\Cost Estimate\Final\RepairSummary&Costs_Final.xlsx 3/10/2016
A-12
Cap Repair Summary and Unit Cost Wilbutron Trestle Rehabilitation Cost Estimate
Bridge # SA‐93/10/16 King County Department of Natural Resources and Parks
3 SR 1 1 1
4 AR 1 1 1
44 2 C 1 1 1
3 LC
4 EGR 0.5 0.5 0.5
45 1 S
3 MC 1
4 SR 1 1 1
46 1 MC 1
2 LC
47 3 MC 1
4 SR 1 1 1
3 EGR 0.5 0.5 0.5
52 3 AR 1 1 1
53 1 LC
54 1 C 1 1 1
55 1 C 1 1 1
56 2 AR 1 1 1
57 1 C 1 1 1
2 AR 1 1 1
58 2 AR 1 1 1
59 1 C 1 1 1
2 MR 1 1
60 2 MC 1
61 1 MR 1 1
62
63
64
21.5 24.5 45.5
Summary ‐ Mid and Low Level Cap Replacements
Lifespan
Estimated Mid and
Low‐Level Cap
Replacements
Unit CostsDisposal
Quantity
25‐year 21.5 20,000.00$ 7
35‐year 24.5 20,000.00$ 8
50‐year 45.5 20,000.00$ 14
Unit costs from Tokul Creek Trestle Bid Tab
K:\project\32400\32499A\Structures\Cost Estimate\Final\RepairSummary&Costs_Final.xlsx 3/10/2016
A-13
Bracing Replacement Summary Wilbutron Trestle Rehabilitation Cost Estimate
Bridge # SA‐9
3/10/16 King County Department of Natural Resources and Parks
Longitudinal Braces 6x10
50‐year 35‐year 25‐year
1
2 30.5
3
4
5
6
7
8
9 61
10 122
11 30.5
12 278.5
13 267
14 152.5
15
16
17
18
19
20 30.5
21
22 103
23 30.5
24 30.5
25 30.5
26
27 30.5
28 122
29
30 61
31
Replacement Schedule (Shown as lengths per bent)
Bent
K:\project\32400\32499A\Structures\Cost Estimate\Final\RepairSummary&Costs_Final.xlsx 3/10/2016
A-14
Bracing Replacement Summary Wilbutron Trestle Rehabilitation Cost Estimate
Bridge # SA‐9
3/10/16 King County Department of Natural Resources and Parks
32 61
33
34 61
Bent
35
36 61
37 122
38 206
39 93.5
40 164
41 84
42 175.5
43 42
44 248
45 93.5
46 208
47 61
52
53
54 82
55 63
56 227
57 30.5
58 93.5
59 91.5
60 288
61 84
62 51.5
63
64
429 824 2819
Summary ‐ 6x10 Longitudinal Braces
Lifespan
Estimated Linear
Feet of
Replacement
Unit Costs Disposal Quantity
25‐year 2819 75.00$ 23
35‐year 3643 75.00$ 30
50‐year 4072 75.00$ 33
Unit costs from Tokul Creek Trestle Bid Tab as a guide
K:\project\32400\32499A\Structures\Cost Estimate\Final\RepairSummary&Costs_Final.xlsx 3/10/2016
A-15
Bracing Replacement Summary Wilbutron Trestle Rehabilitation Cost Estimate
Bridge # SA‐9
3/10/16 King County Department of Natural Resources and Parks
Lateral Braces 3x10
50‐year 35‐year 25‐year
1
2
3
4
5
6
7
8 19
9
10
11
12
13
14
15
16 68
17
18 136
19
20
21
22
23 136
24 87
25
26
27
28 136
29
30
31
32
33
34
Replacement Schedule (Shown as lengths per bent)Bent
K:\project\32400\32499A\Structures\Cost Estimate\Final\RepairSummary&Costs_Final.xlsx 3/10/2016
A-16
Bracing Replacement Summary Wilbutron Trestle Rehabilitation Cost Estimate
Bridge # SA‐9
3/10/16 King County Department of Natural Resources and Parks
Bent
35 261
36 290
37 120
38 348
39 200
40 406
41 377
42 290
43 340
44 442
45 374
46 348
47 100
52 48
53 16
54 32
55 95
56 57
57 48
58 48
59 32
60 48
61
62 80
63 150
64
792 2161 2179
Summary ‐ 3x10 Lateral Braces
Lifespan
Estimated Linear
Feet of
Replacement
Unit Costs Disposal Quantity
25‐year 2179 55.00$ 7
35‐year 4340 55.00$ 14
50‐year 5132 55.00$ 17
Unit costs from Tokul Creek Trestle Bid Tab as a guide
K:\project\32400\32499A\Structures\Cost Estimate\Final\RepairSummary&Costs_Final.xlsx 3/10/2016
A-17
Bracing Replacement Summary Wilbutron Trestle Rehabilitation Cost Estimate
Bridge # SA‐9
3/10/16 King County Department of Natural Resources and Parks
6x12 Cross Braces on Round Piles (At Cap Levels 1 ‐ 4)
Bent 50‐year 35‐year 25‐year
1
2
3
4 16.5
5 16.5
6
7
8
9
10
11
12 112
13 164
14
15
16 100
17 150
18 100
19 100
20 100
21 100
22 100
23 123
24 100
25 235
26 100
27 150
28 150
29 100
30 94
31 100
32
33 50
34
Replacement Schedule (Shown as lengths per bent)
K:\project\32400\32499A\Structures\Cost Estimate\Final\RepairSummary&Costs_Final.xlsx 3/10/2016
A-18
Bracing Replacement Summary Wilbutron Trestle Rehabilitation Cost Estimate
Bridge # SA‐9
3/10/16 King County Department of Natural Resources and Parks
Bent
35 28
36
37
38 111
39 37
40 28
41 56
42 50
43 150
44
45 164
46 56
47 41
52
53
54
55
56
57 28
58
59
60
61
62
63
64
474 1166 1370
Summary ‐ 6x12 Cross Braces
Lifespan
Estimated Linear
Feet of
Replacement
Unit Costs Disposal Quantity
25‐year 1370 80.00$ 14
35‐year 2536 80.00$ 25
50‐year 3010 80.00$ 30
Unit costs from Tokul Creek Trestle Bid Tab as a guide
K:\project\32400\32499A\Structures\Cost Estimate\Final\RepairSummary&Costs_Final.xlsx 3/10/2016
A-19
Railing, Decking, Steel Girders Unit Costs Wilbutron Trestle Rehabilitation Cost Estimate
Bridge # SA‐9
3/10/16 King County Department of Natural Resources and Parks
RAILING
Unit Quantity Unit Cost
Steel Railing LF 1950 135.00$
Unit Cost Examples
Steel Railing ‐ Basic Rail LF 115.00$ Redmond Central Connector Bid Tab (11/15)
Steel Railing ‐ Aesthetic Rail LF 200.00$ EstimateSteel Railing ‐ Average LF 135.00$
DECKING ‐ ASPHALT WEARING SURFACE
Unit Quantity Unit Cost
Asphalt Deck ‐ 14 foot wide deck SF 13650 45$
Timber Cross Ties 10"x10" SF 13650 43.00$ Asphalt Wearing Surface TON 239 110.00$
Asphalt Deck ‐ 12 foot wide deck SF 11700 45$
Timber Cross Ties 10"x10" TON 11700 43.00$ Asphalt Wearing Surface SF 205 110.00$
Unit Cost Examples
Timber Cross Ties SF 40.00$ Redmond Central Connector Bid Tab (11/15)
Asphalt Wearing Surface TON 110.00$ Redmond Central Connector Bid Tab (11/15)
DECKING ‐ PRECAST CONCRETE PANELS
Unit Quantity Unit Cost
Concrete Deck Planks ‐ 14 foot wide deck SF 13650 75.00$
Concrete Deck Planks ‐ 12 foot wide deck SF 11700 75.00$
Unit Cost Examples
Concrete Deck Planks SF 175.00$ Unit costs from Tokul Creek Trestle Bid Tab
" SF 65.00$ Redmond Central Connector Bid Tab (11/15)
PAINTING STEEL GIRDERS
Unit Cost
Painting LS 185,000$ Engr calculation and estimate
Surface Area SF 6556Cost/SF 28.22$
Painting LS 285,000$ Tokul Creek cost
Surface Area SF 4601Cost/SF 61.94$
K:\project\32400\32499A\Structures\Cost Estimate\Final\RepairSummary&Costs_Final.xlsx 3/10/2016
A-20
Appendix B – Bridge As-Builts and Proposed Rehabilitation Details
B-1
B-2
B-3
B-4
B-5
B-6
Department of Natural Resources and
Parks - Parks and Recreation Division
Capital Planning and Development
201 S. Jackson St, Suite 700
Seattle, Washington 98104
Tel (206) 296-4232 | Fax (206) 263-6217
FILE #
REVISION
CHECKED
DRAWN
DATE
PROJ #
12/11/15
NJB
DLS, PRO
32499A
WILBURTON TRESTLE
EASTSIDE RAIL CORRIDOR
KING COUNTY, WA
CONTRACT NO. E00341E14
OF X
STEEL SPAN SECTION W/14 FT WIDE TRAIL
TYPICAL DECK
SECTIONS - CONCRETE
DECK
S-1
1
STEEL SPAN SECTION W/ 12 FT WIDE TRAIL
TIMBER SPAN SECTION W/14 FT WIDE TRAIL
TIMBER SPAN SECTION W/ 12 FT WIDE TRAIL
PRECAST CONCRETE DECK
PANEL WITH 2% SLOPE
EXISTING STEEL PLATE
GIRDERS
12'-0"
12'-0"
STRINGERS EQUALLY SPACED.
NUMBER OF STRINGERS VARIES
DEPENDING ON VEHICLE LOADING
REMOVE EXISTING TIMBER
TIES, STEEL RAILS, WALKWAY
AND RAILING.
REMOVE EXISTING TIMBER
TIES, STEEL RAILS, WALKWAY
AND RAILING.
PRECAST CONCRETE DECK
PANEL WITH 2% SLOPE
PLACE WATERPROOFING
BARRIER. SHIM AS NECESSARY
TO ENSURE FIT UP OF PANELS
PLACE WATERPROOFING
BARRIER. SHIM AS NECESSARY
TO ENSURE FIT UP OF PANELS
PRECAST CONCRETE DECK
PANEL WITH 2% SLOPE
EXISTING STEEL PLATE
GIRDERS
14'-0"
REMOVE EXISTING TIMBER
TIES, STEEL RAILS, WALKWAY
AND RAILING.
PLACE WATERPROOFING
BARRIER. SHIM AS NECESSARY
TO ENSURE FIT UP OF PANELS
14'-0"
STRINGERS EQUALLY SPACED.
NUMBER OF STRINGERS VARIES
DEPENDING ON VEHICLE LOADING
REMOVE EXISTING TIMBER
TIES, STEEL RAILS, WALKWAY
AND RAILING.
PRECAST CONCRETE DECK
PANEL WITH 2% SLOPE
PLACE WATERPROOFING
BARRIER. SHIM AS NECESSARY
TO ENSURE FIT UP OF PANELS
B-7
Department of Natural Resources and
Parks - Parks and Recreation Division
Capital Planning and Development
201 S. Jackson St, Suite 700
Seattle, Washington 98104
Tel (206) 296-4232 | Fax (206) 263-6217
FILE #
REVISION
CHECKED
DRAWN
DATE
PROJ #
12/11/15
NJB
DLS, PRO
32499A
WILBURTON TRESTLE
EASTSIDE RAIL CORRIDOR
KING COUNTY, WA
CONTRACT NO. E00341E14
OF X
STEEL SPAN SECTION W/14 FT WIDE TRAIL
TYPICAL DECK
SECTIONS - ASPHALT
DECK
8"x8"x12'-0" TIMBER CROSS
TIES
S-2
2
STEEL SPAN SECTION W/ 12 FT WIDE TRAIL
TIMBER SPAN SECTION W/14 FT WIDE TRAIL
TIMBER SPAN SECTION W/ 12 FT WIDE TRAIL
ASPHALT CONRETE WEARING
SURFACE WITH 2% SLOPE
EXISTING STEEL PLATE
GIRDERS
12'-0"
14'-0"
8"x8"x12'-0" TIMBER CROSS
TIES
ASPHALT CONRETE WEARING
SURFACE WITH 2% SLOPE
8"x8"x12'-0" TIMBER CROSS
TIES
ASPHALT CONRETE WEARING
SURFACE WITH 2% SLOPE
ASPHALT CONRETE WEARING
SURFACE WITH 2% SLOPE
12'-0"
STRINGERS EQUALLY SPACED.
NUMBER OF STRINGERS VARIES
DEPENDING ON VEHICLE LOADING
8"x8"x12'-0" TIMBER CROSS
TIES
ASPHALT CONRETE WEARING
SURFACE WITH 2% SLOPE
ASPHALT CONRETE WEARING
SURFACE WITH 2% SLOPE
14'-0"
STRINGERS EQUALLY SPACED.
NUMBER OF STRINGERS VARIES
DEPENDING ON VEHICLE LOADING
REMOVE EXISTING TIMBER
TIES, STEEL RAILS, WALKWAY
AND RAILING.
REMOVE EXISTING TIMBER
TIES, STEEL RAILS, WALKWAY
AND RAILING.
REMOVE EXISTING TIMBER
TIES, STEEL RAILS, WALKWAY
AND RAILING.
REMOVE EXISTING TIMBER
TIES, STEEL RAILS, WALKWAY
AND RAILING.
EXISTING STEEL PLATE
GIRDERS
B-8
Department of Natural Resources and
Parks - Parks and Recreation Division
Capital Planning and Development
201 S. Jackson St, Suite 700
Seattle, Washington 98104
Tel (206) 296-4232 | Fax (206) 263-6217
FILE #
REVISION
CHECKED
DRAWN
DATE
PROJ #
12/11/15
NJB
DLS, PRO
32499A
WILBURTON TRESTLE
EASTSIDE RAIL CORRIDOR
KING COUNTY, WA
CONTRACT NO. E00341E14
OF X
TYPICAL TRESTLE BENT REPAIR
REPLACE EXISTING PILE WITH
NEW 12" DIA. SAWN TIMBER POST.
S-3
3
TYPICAL REPAIRS - BENTS WITH FULL HEIGHT PILES
PLACE 12X12 CAP BETWEEN
NEW POST AND EXISTING PILE,
FASTEN NEW CAP TO EXISTING
HORIZONTAL BRACE
TYPICAL EXTENTS OF
OBSERVED DEFECT IN PILE
TYPICAL REPAIRS - BENTS WITH DISCONTINUOUS POSTS
REMOVE
SUPERSTRUCTURE
AND UNLOAD BENT
FOR ALL REPAIRS
REMOVE
SUPERSTRUCTURE
AND UNLOAD BENT
FOR ALL REPAIRS
REPLACE FULL HEIGHT OF
POST. SHORE CAP BEAM
ABOVE REPLACED POST USING
TEMPORARY STEEL POST AND
HYDRAULIC JACK
REPLACE FULL OR PARTIAL
LENGTH OF CAP BEAM.
EXTENSIVE SHORING WITH
JACKING REQUIRED.
REPLACE FULL LENGTH OF
BRACING MEMBER. MINIMUM
TO NO SHORING REQUIRED
REPLACE FULL LENGTH OF
BRACING MEMBER. MINIMUM
TO NO SHORING REQUIRED
BENTS 35 - 47, 52 - 60BENTS 3 - 34
B-9
Appendix C – Load Rating Calculations
C-1
Wilburton Trestle – Bridge No. SA-9 East Rail Corridor King County, WA
Load Rating Calculations and Data Otak, Inc. March 2016 11241 Willows Road NE, Suite 200
Redmond, WA 98052
Project No. 32499.A
TABLE OF CONTENTS
DIVISION PAGE
TIMBER MEMBER LOAD RATING COVER SHEET 1
TABLE OF CONTENTS 2
BRIDGE AS BUILT DRAWINGS 3
TYPICAL DECK SECTIONS WITH CONCRETE AND ASPHALT 9
LOAD RATING VEHICLES 11
TIMBER STRINGER LOAD RATING – EXISTING AND NEW SOLID SAWN STRINGERS
12
TIMBER STRINGER LOAD RATING – GLU-LAMINATED STRINGERS 46
TIMBER SUBSTRUCTURE LOAD RATING 80
STEEL GIRDER RATING COVER SHEETS 91
STEEL GIRDER LOAD RATING CALCULATIONS 93
C-2
Department of Natural Resources and
Parks - Parks and Recreation Division
Capital Planning and Development
201 S. Jackson St, Suite 700
Seattle, Washington 98104Tel (206) 296-4232 | Fax (206) 263-6217
FILE #
REVISION
CHECKED
DRAWN
DATE
PROJ #
12/11/15
NJB
DLS, PRO
32499A WILBURTON AS-BUILTSEASTSIDE RAIL CORRIDOR, BELLEVUE, WA.
KING COUNTY, WA
CONTRACT NO. E00341E14 OF X
BRIDGE PLAN AND
ELEVATIONS-1
MA
TC
HLIN
E S
EE
SH
EE
T S
-2M
AT
CH
LIN
E S
EE
SH
EE
T S
-2
C-3
Department of Natural Resources and
Parks - Parks and Recreation Division
Capital Planning and Development
201 S. Jackson St, Suite 700
Seattle, Washington 98104Tel (206) 296-4232 | Fax (206) 263-6217
FILE #
REVISION
CHECKED
DRAWN
DATE
PROJ #
12/11/15
NJB
DLS, PRO
32499A WILBURTON AS-BUILTSEASTSIDE RAIL CORRIDOR, BELLEVUE, WA.
KING COUNTY, WA
CONTRACT NO. E00341E14 OF X
MA
TC
HLIN
E S
EE
SH
EE
T S
-1M
AT
CH
LIN
E S
EE
SH
EE
T S
-1
S-2BRIDGE PLAN AND
ELEVATION
C-4
Department of Natural Resources and
Parks - Parks and Recreation Division
Capital Planning and Development
201 S. Jackson St, Suite 700
Seattle, Washington 98104Tel (206) 296-4232 | Fax (206) 263-6217
FILE #
REVISION
CHECKED
DRAWN
DATE
PROJ #
12/11/15
NJB
DLS, PRO
32499A WILBURTON AS-BUILTSEASTSIDE RAIL CORRIDOR, BELLEVUE, WA.
KING COUNTY, WA
CONTRACT NO. E00341E14 OF X
S-3BENT 7, 12, 30 ELEVATIONS
C-5
Department of Natural Resources and
Parks - Parks and Recreation Division
Capital Planning and Development
201 S. Jackson St, Suite 700
Seattle, Washington 98104Tel (206) 296-4232 | Fax (206) 263-6217
FILE #
REVISION
CHECKED
DRAWN
DATE
PROJ #
12/11/15
NJB
DLS, PRO
32499A WILBURTON AS-BUILTSEASTSIDE RAIL CORRIDOR, BELLEVUE, WA.
KING COUNTY, WA
CONTRACT NO. E00341E14 OF X
S-4BENT 45, 49, 52 ELEVATIONS
C-6
Department of Natural Resources and
Parks - Parks and Recreation Division
Capital Planning and Development
201 S. Jackson St, Suite 700
Seattle, Washington 98104Tel (206) 296-4232 | Fax (206) 263-6217
FILE #
REVISION
CHECKED
DRAWN
DATE
PROJ #
12/11/15
NJB
DLS, PRO
32499A WILBURTON AS-BUILTSEASTSIDE RAIL CORRIDOR, BELLEVUE, WA.
KING COUNTY, WA
CONTRACT NO. E00341E14 OF X
S-5BENT 56, 62, 64 ELEVATIONS
C-7
Department of Natural Resources and
Parks - Parks and Recreation Division
Capital Planning and Development
201 S. Jackson St, Suite 700
Seattle, Washington 98104Tel (206) 296-4232 | Fax (206) 263-6217
FILE #
REVISION
CHECKED
DRAWN
DATE
PROJ #
12/11/15
NJB
DLS, PRO
32499A WILBURTON AS-BUILTSEASTSIDE RAIL CORRIDOR, BELLEVUE, WA.
KING COUNTY, WA
CONTRACT NO. E00341E14 OF X
S-6STEEL GIRDER ELEVATION,
SECTION AND DETAILS
C-8
Department of Natural Resources and
Parks - Parks and Recreation Division
Capital Planning and Development
201 S. Jackson St, Suite 700
Seattle, Washington 98104
Tel (206) 296-4232 | Fax (206) 263-6217
FILE #
REVISION
CHECKED
DRAWN
DATE
PROJ #
12/11/15
NJB
DLS, PRO
32499A
WILBURTON TRESTLE
EASTSIDE RAIL CORRIDOR
KING COUNTY, WA
CONTRACT NO. E00341E14
OF X
STEEL SPAN SECTION W/14 FT WIDE TRAIL
TYPICAL DECK
SECTIONS - CONCRETE
DECK
STEEL SPAN SECTION W/ 12 FT WIDE TRAIL
TIMBER SPAN SECTION W/14 FT WIDE TRAIL
TIMBER SPAN SECTION W/ 12 FT WIDE TRAIL
PRECAST CONCRETE DECK
PANEL WITH 2% SLOPE
EXISTING STEEL PLATE
GIRDERS
12'-0"
12'-0"
STRINGERS EQUALLY SPACED.
NUMBER OF STRINGERS VARIES
DEPENDING ON VEHICLE LOADING
REMOVE EXISTING TIMBER
TIES, STEEL RAILS, WALKWAY
AND RAILING.
REMOVE EXISTING TIMBER
TIES, STEEL RAILS, WALKWAY
AND RAILING.
PRECAST CONCRETE DECK
PANEL WITH 2% SLOPE
PLACE WATERPROOFING
BARRIER. SHIM AS NECESSARY
TO ENSURE FIT UP OF PANELS
PLACE WATERPROOFING
BARRIER. SHIM AS NECESSARY
TO ENSURE FIT UP OF PANELS
PRECAST CONCRETE DECK
PANEL WITH 2% SLOPE
EXISTING STEEL PLATE
GIRDERS
14'-0"
REMOVE EXISTING TIMBER
TIES, STEEL RAILS, WALKWAY
AND RAILING.
PLACE WATERPROOFING
BARRIER. SHIM AS NECESSARY
TO ENSURE FIT UP OF PANELS
14'-0"
STRINGERS EQUALLY SPACED.
NUMBER OF STRINGERS VARIES
DEPENDING ON VEHICLE LOADING
REMOVE EXISTING TIMBER
TIES, STEEL RAILS, WALKWAY
AND RAILING.
PRECAST CONCRETE DECK
PANEL WITH 2% SLOPE
PLACE WATERPROOFING
BARRIER. SHIM AS NECESSARY
TO ENSURE FIT UP OF PANELS
C-9
Department of Natural Resources and
Parks - Parks and Recreation Division
Capital Planning and Development
201 S. Jackson St, Suite 700
Seattle, Washington 98104
Tel (206) 296-4232 | Fax (206) 263-6217
FILE #
REVISION
CHECKED
DRAWN
DATE
PROJ #
12/11/15
NJB
DLS, PRO
32499A
WILBURTON TRESTLE
EASTSIDE RAIL CORRIDOR
KING COUNTY, WA
CONTRACT NO. E00341E14
OF X
STEEL SPAN SECTION W/14 FT WIDE TRAIL
TYPICAL DECK
SECTIONS - ASPHALT
DECK
8"x8"x12'-0" TIMBER CROSS
TIES
STEEL SPAN SECTION W/ 12 FT WIDE TRAIL
TIMBER SPAN SECTION W/14 FT WIDE TRAIL
TIMBER SPAN SECTION W/ 12 FT WIDE TRAIL
ASPHALT CONRETE WEARING
SURFACE WITH 2% SLOPE
EXISTING STEEL PLATE
GIRDERS
12'-0"
14'-0"
8"x8"x12'-0" TIMBER CROSS
TIES
ASPHALT CONRETE WEARING
SURFACE WITH 2% SLOPE
8"x8"x12'-0" TIMBER CROSS
TIES
ASPHALT CONRETE WEARING
SURFACE WITH 2% SLOPE
ASPHALT CONRETE WEARING
SURFACE WITH 2% SLOPE
12'-0"
STRINGERS EQUALLY SPACED.
NUMBER OF STRINGERS VARIES
DEPENDING ON VEHICLE LOADING
8"x8"x12'-0" TIMBER CROSS
TIES
ASPHALT CONRETE WEARING
SURFACE WITH 2% SLOPE
ASPHALT CONRETE WEARING
SURFACE WITH 2% SLOPE
14'-0"
STRINGERS EQUALLY SPACED.
NUMBER OF STRINGERS VARIES
DEPENDING ON VEHICLE LOADING
REMOVE EXISTING TIMBER
TIES, STEEL RAILS, WALKWAY
AND RAILING.
REMOVE EXISTING TIMBER
TIES, STEEL RAILS, WALKWAY
AND RAILING.
REMOVE EXISTING TIMBER
TIES, STEEL RAILS, WALKWAY
AND RAILING.
REMOVE EXISTING TIMBER
TIES, STEEL RAILS, WALKWAY
AND RAILING.
EXISTING STEEL PLATE
GIRDERS
C-10
C-11
Bridge Load Rating ‐ Re‐Use of Existing Timber Stringers
Bridge Name: Wilburton TrestleCo. Bridge No.: SA‐9Rating Date: 3/10/16Year Built: Varies, most recent construction in 1944
Owner: King County Department of Natural Resources and ParksDescription:
Load Rating Method: Allowable Stress DesignReferences: AASHTO Manual for Bridge Evaluation (MBE), AASHTO Standard Specifications
for Highway Bridges, 17th Editions, WSDOT Bridge Design Manual Chapter 13
Load Rating Comments:
The trestle consists of 60 timber trestle spans and one steel girder span with a total length of
approximately 975 feet. The timber trestle spans are supported on driven timber pilings. The
steel girder span is supported on tall concrete piers. The trestle crosses over SE 9th Street,
Richards Creek, and SE 8th Street. The south end of the bridge has a slight horizontal curve
through about Bent 9 with a straight alignment beyond. The bridge deck is roughly 100 feet
above ground at its maximum height.
The analysis assumes the beams are spread out equally beneath the deck versus the existing two groups of side‐by‐
side beams. The load rating is done for both King County maintenance vehicles as well as AASHTO design vehicles.
See beginning of load rating report for axle loads and spacing configurations. In addition, live loads per the AASHTO
Guide Specificiations for LRFD Pedestrian Bridge Design and Standard Specifications for Highway Bridge Bridges,
including the HS20 design truck, 90 psf pedestrian load and H10 design truck are included to check the bridge against
AASHTO design loads. The AASHTO design vehicles are done at the Inventory Level while the King County
maintenance trucks are done at the Operating Level. Key assumptions include: 1) Distributing all dead loads equally
to all stringers; 2) the live load distribution factors per the AASHTO Standard Specifications for Highway Bridges Table
3.23; and 3) using a load duration factor of 1.15 (associated with vehicle live loads) for bending and for shear. The
worst case shear and moment from a 2 span continuous and a simple span beam layout are used.
This load rating is intended to evaluate the re‐use of existing solid sawn timber stringers. In order to re‐use existing stringers, the stringers must have a rating factor of at least 1.0 at the end of its desired lifespan for the desired vehiclegroup.
C-12
Load Rating Calculations Wilburton TrestleSummary 3/10/16
King County Department of Natural Resources and Parks
Controlling Ratings
Below are several tables for the following conditions:
Deck Option 1 ‐ 14‐foot wide concrete deck
Deck Option 2 ‐ 14‐foot wide asphalt and timber deck
Deck Option 3 ‐ 12‐foot wide concrete deck
Deck Option 4 ‐ 12‐foot wide asphalt and timber deck
These results come from changing deck type, deck width, and number of stringers on the following sheet
Deck Option 1Deck Width = 14 No Stringers = 7 Type = Concrete
Group # Vehicle Rating Level Severe DecayAdvanced
Decay
Moderate
Decay
Special 2 Operating 0.32 0.66 0.79
AASHTO HS20 Inventory 0.14 0.56 0.73
2 SU5 Operating 0.55 1.14 1.38
AASHTO H10 Inventory 0.30 1.19 1.55
90 PSF Inventory 0.55 2.21 2.87
*Note: 7 is the maximum number of stringers considered for a 14‐foot wide deck
Deck Option 2
Deck Width = 14 No Stringers = 7 Type = Asphalt
Group # Vehicle Rating Level Severe DecayAdvanced
Decay
Moderate
Decay
Special 2 Operating 0.35 0.69 0.82
AASHTO HS20 Inventory 0.20 0.62 0.79
2 SU5 Operating 0.61 1.20 1.44
AASHTO H10 Inventory 0.41 1.31 1.66
90 PSF Inventory 0.77 2.43 3.09
*Note: 7 is the maximum number of stringers considered for a 14‐foot wide deck
3
Minimum Rating Factors
1
1
3
Minimum Rating Factors
Timber Stringer Load Rating
C-13
Load Rating Calculations Wilburton TrestleSummary 3/10/16
King County Department of Natural Resources and Parks
Controlling Ratings
Below are several tables for the following conditions:
Deck Option 1 ‐ 14‐foot wide concrete deck
Deck Option 2 ‐ 14‐foot wide asphalt and timber deck
Deck Option 3 ‐ 12‐foot wide concrete deck
Deck Option 4 ‐ 12‐foot wide asphalt and timber deckDeck Option 3Deck Width = 12 No Stringers = 6 Type = Concrete
Group # Vehicle Rating LevelSevere Decay
Advanced
Decay
Moderate
Decay
Special 2 Operating 0.31 0.65 0.79
AASHTO HS20 Inventory 0.14 0.56 0.73
2 SU5 Operating 0.55 1.14 1.38
AASHTO H10 Inventory 0.29 1.19 1.54
90 PSF Inventory 0.54 2.20 2.86
*Note: 6 is the maximum number of stringers considered for a 12‐foot wide deck
Deck Option 4Deck Width = 12 No Stringers = 6 Type = Asphalt
Group # Vehicle Rating Level Severe DecayAdvanced
Decay
Moderate
Decay
Special 2 Operating 0.35 0.69 0.82
AASHTO HS20 Inventory 0.19 0.62 0.78
2 SU5 Operating 0.61 1.20 1.44
AASHTO H10 Inventory 0.41 1.30 1.66
90 PSF Inventory 0.76 2.42 3.08
*Note: 6 is the maximum number of stringers considered for a 12‐foot wide deck
Minimum Rating Factors
1
3
1
3
Minimum Rating Factors
Timber Stringer Load Rating
C-14
Load Rating Calculations Wilburton TrestleDeck Stringer Material and Section Properties 3/10/16
King County Department of Natural Resources and Parks
Bridge Data:
Material: Assume Douglas Fir No. 1 for members installed after 1955 when grade and species are unknown
(WSDOT Bridge Design Manual 13.2.14)
Stringer Height, H (in) 17
Stringer Width, B (in) 9
A (in2) 153
S (in3) 434
I (in4) 3685
Observed Levels of Deterioration and Corresponding Section Properties:
H2 B2 A (in2) S (in3) % Area Reductions% Sect. Mod.
ReductionsMinor Center Rot 4 9 1 144 426.4 5.9% 1.6%
Moderate Center Rot 3.5 10 2 133 413.9 13.1% 4.5%
Advanced Center Rot 3 11 3 120 394.4 21.6% 9.0%
Severe Center Rot 2 13 5 88 325.8 42.5% 24.8%
Observed Levels of Deterioration and Corresponding Section Properties:
A (in2) S (in3) % Area Reductions% Sect. Mod.
Reductions
Minor Top Rot 2 144.0 400.2 5.9% 7.7%
Moderate Top Rot 4.5 132.8 360.4 13.2% 16.9%
Advanced Top Rot 6 126.0 337.5 17.6% 22.1%
Severe Top Rot 8 117.0 308.2 23.5% 28.9%
Section Property Calculation for Rectangular Members (excerpt from WSDOT Inspection Manual 2002):
Span Length Stringer Inspection Observation Assigned DefectBegin Defect
Location*10th Pt. End Defect Location *10th Pt. A (in2) S (in3)
1 15.917 A Rot Pocket Moderate Center Rot 0.0 0.00 7.5 0.47 133.0 413.9
1 15.917 DMod. Rot mid ht. on side at 4.5
ft, minor soft top at 8.5ftModerate Center Rot 4.5 0.28 8.5 0.53 133.0 413.9
2 15.917 B Minor top rot 0'‐2' from Bent 2 Minor Top Rot 0.0 0.00 2.0 0.13 144.0 400.2
3 15.917 ARot in bottom 6" of stringer,
middle 2/3 of spanAdvanced Top Rot 5.3 0.33 10.6 0.67 126.0 337.5
3 15.917 CSuspected rot in lower portion of
memberMinor Top Rot 13.9 0.87 15.9 1.00 144.0 400.2
3 15.917 D Soft side at bent 3 Minor Center Rot 0.0 0.00 0.0 0.00 144.0 426.4
3 15.917 F Seat twist Bearing Area Reduction 0.0 0.00 0.0 0.00 153.0 433.5
4 15.917 A Moderate to severe top rot Advanced Top Rot 1.0 0.06 14.9 0.94 126.0 337.5
4 15.917 F‐AUXMod. Soft mid at 4', minor soft
mid. At 4.5 ft from B5Moderate Center Rot 4.0 0.25 8.5 0.53 133.0 413.9
5 15.917 A Severe rot Severe Center Rot 1.0 0.06 14.9 0.94 88.0 325.8
5 15.917 B Minor top rot at B6 Minor Top Rot 13.9 0.87 15.9 1.00 144.0 400.2
5 15.917 C Minor center rot at B5 Minor Center Rot 0.0 0.00 0.0 0.00 144.0 426.4
5 15.917 D Moderate rot 2' from bent 6 Moderate Center Rot 13.5 0.85 15.9 1.00 133.0 413.9
5 15.917 F Split at seat at Bent 6 None 15.9 1.00 15.9 1.00 153.0 433.5
6 15.917 A Moderate to severe rot midspan Advanced Center Rot 4.0 0.25 11.9 0.75 120.0 394.4
6 15.917 F Check and minor soft at midspan Minor Center Rot 5.8 0.36 9.8 0.61 144.0 426.4
7 15.917 ASevere top rot middle 2/3 of
spanSevere Top Rot 5.3 0.33 10.5 0.66 117.0 308.2
7 15.917 D Soft seat at B8 None 15.9 1.00 15.9 1.00 153.0 433.5
7 15.917 F‐AUX Soft seat at B8 None 15.9 1.00 15.9 1.00 153.0 433.5
8 15.917 A Severe rot, middle 2/3 of span Severe Center Rot 5.3 0.33 10.5 0.66 88.0 325.8
8 15.917 B Possible end rot area Minor Top Rot 13.9 0.87 15.9 1.00 144.0 400.2
8 15.917 F Bottom edge damage at midspan Minor Top Rot 5.8 0.36 9.8 0.61 144.0 400.2
9 15.917 DModerate hollow, soft at 2' from
B10Moderate Center Rot 11.5 0.72 15.9 1.00 133.0 413.9
10 15.917 A Severe rot, replace Severe Top Rot 0.0 0.00 15.9 1.00 117.0 308.2
10 15.917 F Small wet check None 6.4 0.40 9.6 0.60 153.0 433.5
11 15.917 AModerate, slightly severe middle
rot, midspanAdvanced Center Rot 5.3 0.33 10.7 0.67 120.0 394.4
11 15.917 D Side check None 0.0 0.00 15.9 1.00 153.0 433.5
11 15.917 F‐AUX Wet/soft top and hole to middle Minor Top Rot 5.8 0.36 9.8 0.61 144.0 400.2
13 15.917 E Bad….. 5.8 0.36 9.8 0.61 153.0 433.5
Assigned Defect Based
on Observed Level of
Deterioration
Assigned Defect Based
on Observed Level of
Deterioration
Shell Thickness
Depth of Top Rot, H1
Center Rot
Top Rot
Timber Stringer Load Rating
C-15
Load Rating Calculations Wilburton TrestleDeck Stringer Material and Section Properties 3/10/16
King County Department of Natural Resources and Parks
14 15.917 C Hollow at B15 Moderate Top Rot 13.9 0.87 15.9 1.00 132.8 360.4
14 15.917 D Soft seat at B15 None 15.9 1.00 15.9 1.00 153.0 433.5
15 15.917 A Severe top rot midspan Severe Top Rot 5.3 0.33 10.7 0.67 117.0 308.2
15 15.917 C Hollow at B15 Moderate Top Rot 0.0 0.00 2.0 0.13 132.8 360.4
16 15.917 C Moderate rot at B17 Moderate Top Rot 12.9 0.81 15.9 1.00 132.8 360.4
17 15.917 A Severe top rot over B18 Severe Top Rot 11.9 0.75 15.9 1.00 117.0 308.2
18 15.917 A Severe rot to midspan Severe Top Rot 0.0 0.00 8.0 0.50 117.0 308.2
18 15.917 A Moderate rot to B19 Moderate Top Rot 8.0 0.50 15.9 1.00 132.8 360.4
18 15.917 C Hollow over B19 Moderate Center Rot 12.9 0.81 15.9 1.00 133.0 413.9
18 15.917 D End damage at bolt at B18 None 0.0 0.00 0.0 0.00 153.0 433.5
18 15.917 D End split/twist at B19 Bearing Area Reduction 15.5 0.97 15.5 0.97 153.0 433.5
19 15.917 ASevere rot top of stringer, last
1/3 of spanSevere Top Rot 10.6 0.67 15.9 1.00 117.0 308.2
19 15.917 F‐AUX Soft end None 5.8 0.36 9.8 0.61 153.0 433.5
20 15.917 A Moderate rot at midspan Moderate Center Rot 5.3 0.33 10.6 0.67 133.0 413.9
20 15.917 D Split, twisted end at B21 Bearing Area Reduction 15.5 0.97 15.5 0.97 153.0 433.5
21 15.917 A Minor/Moderate rot at B22 Moderate Top Rot 13.9 0.87 15.9 1.00 132.8 360.4
21 15.917 D Minor split at midspan None 6.4 0.40 9.6 0.60 153.0 433.5
22 15.917 CDeep check at B23, 3" brg. At
B23Bearing Area Reduction 15.9 1.00 15.9 1.00 153.0 433.5
23 15.917 ASevere top rot, middle 1/3 of
spanSevere Top Rot 5.3 0.33 10.6 0.67 117.0 308.2
23 15.917 D End twist at B23 Bearing Area Reduction 0.0 0.00 0.0 0.00 153.0 433.5
23 15.917 D Side split at B24 None 0.0 0.00 15.9 1.00 153.0 433.5
24 15.917 AMinor/moderate rot from B24
to midspanModerate Center Rot 0.0 0.00 8.0 0.50 133.0 413.9
25 15.917 ASevere top half rot, middle of
spanSevere Top Rot 5.3 0.33 10.6 0.67 117.0 308.2
25 15.917 A Minor rot at B26 Minor Top Rot 13.9 0.87 15.9 1.00 144.0 400.2
25 15.917 DWet, checked and soft at
midspanMinor Center Rot 5.8 0.36 9.8 0.61 144.0 426.4
26 15.917 A Moderate top rot middle of span Moderate Top Rot 5.3 0.33 10.6 0.67 132.8 360.4
26 15.917 D Minor soft at midspan Minor Center Rot 5.8 0.36 9.8 0.61 144.0 426.4
26 15.917 D Twist, split end at B27 Bearing Area Reduction 5.8 0.36 9.8 0.61 153.0 433.5
27 15.917 AModerate rot middle .4 ‐ .8 of
spanModerate Top Rot 6.4 0.40 12.7 0.80 132.8 360.4
27 15.917 C Top corner hollow at B27 Moderate Top rot 13.9 0.87 15.9 1.00 132.8 360.4
28 15.917 A Moderate top rot, .2 ‐ .8 of span Moderate Top Rot 3.2 0.20 12.7 0.80 132.8 360.4
28 15.917 B Minor rot suspected Minor Top Rot 0.0 0.00 15.9 1.00 144.0 400.2
29 15.917 A Moderate rot at B29 Moderate Top Rot 0.0 0.00 3.0 0.19 132.8 360.4
29 15.917 A Moderate/Severe at .7 ‐ 1.0L Advanced Top Rot 11.1 0.70 15.9 1.00 126.0 337.5
29 15.917 D Soft with rot at end at B30 Moderate Center Rot 13.5 0.85 15.5 0.97 133.0 413.9
30 15.917 A Moderate top rot at B30 Moderate Top Rot 0.0 0.00 2.0 0.13 132.8 360.4
30 15.917 A Moderate center rot .3 ‐ .8 Moderate Center Rot 4.8 0.30 12.7 0.80 133.0 413.9
31 15.917 A Moderate top rot at B32 Moderate Top Rot 13.9 0.87 15.9 1.00 132.8 360.4
32 15.917 ACorner peeling 1/2" x 1/2" full
lengthMinor Top Rot 0.0 0.00 15.9 1.00 144.0 400.2
32 15.917 BCorner peeling 1/2" x 1/2" full
lengthMinor Top Rot 0.0 0.00 15.9 1.00 144.0 400.2
32 15.917 F‐AUX4th stringer soft at south end
(B31)Minor Top Rot 0.0 0.00 3.0 0.19 144.0 400.2
34 15.917 C Hollow, minor rot at B35 Minor Top Rot 13.9 0.87 15.9 1.00 144.0 400.2
35 15.917 A Moderate rot .1 ‐ .6L Moderate Center Rot 1.6 0.10 9.6 0.60 133.0 413.9
35 15.917 C Hollow, minor rot at B35 Minor Top Rot 0.0 0.00 2.0 0.13 144.0 400.2
37 15.917 C Short check middepth None 6.4 0.40 9.6 0.60 153.0 433.5
38 15.917 AHeavy deterioration, large check,
replace, 8' from B39Severe Center Rot 7.9 0.50 15.9 1.00 88.0 325.8
38 15.917 C Full length, mid‐depth check None 0.0 0.00 15.9 1.00 153.0 433.5
39 15.917 A‐AUX Minor soft spot, midspan Minor Center Rot 5.3 0.33 10.6 0.67 144.0 426.4
39 15.917 F Large side split None 0.0 0.00 15.9 1.00 153.0 433.5
41 15.917 D Side split at bearing at B42 None 0.0 0.00 0.1 0.00 153.0 433.5
41 15.917 A knot at bottom, midspan None 8.0 0.50 8.0 0.50 153.0 433.5
42 15.917 C Mid‐depth check full length None 0.0 0.00 15.9 1.00 153.0 433.5
43 15.917 A3' long check at bottom, small
(1') hollow ~4' from endMinor Center Rot 11.9 0.75 15.9 1.00 144.0 426.4
44 15.917 AHeavy (1" shell) rot, ~8' long,
replaceSevere Center Rot 7.9 0.50 15.9 1.00 88.0 325.8
44 15.917 F Moderate soft 2.5' from B45 Moderate Center Rot 13.0 0.82 15.5 0.97 133.0 413.9
45 15.917 ASmall (1') hollow shell ~4' from
endModerate Center Rot 0.0 0.00 4.0 0.25 133.0 413.9
51 15.917 D Mid‐depth check 4' from B52 None 0.1 0.01 0.4 0.02 153.0 433.5
Timber Stringer Load Rating
C-16
Load Rating Calculations Wilburton TrestleDeck Stringer Material and Section Properties 3/10/16
King County Department of Natural Resources and Parks
52 15.917 D Mid‐depth check 4' from B52 None 0.1 0.01 0.4 0.02 153.0 433.5
53 15.917 F Minor damage near B54 Minor Top Rot 10.5 0.66 15.5 0.97 144.0 400.2
54 15.917 A Small hollow at 4' and 8' Moderate Center Rot 4.0 0.25 8.0 0.50 133.0 413.9
55 15.917 A‐AUX Weathered but ok, split None 0.0 0.00 15.9 1.00 153.0 433.5
55 15.917 C Minor hollow end at B55 Minor Center Rot 0.0 0.00 2.0 0.13 144.0 426.4
55 15.917 C Mid‐depth check full length None 0.0 0.00 15.9 1.00 153.0 433.5
55 15.917 C Minor hollow end at B56 Minor Center Rot 13.9 0.87 15.9 1.00 144.0 426.4
56 15.917 A ~4' mod. Sounding shell Moderate Center Rot 6.0 0.37 10.0 0.63 133.0 413.9
57 15.917 A Hollow shell, probably replace Advanced Center Rot 0.0 0.00 15.9 1.00 120.0 394.4
58 15.917 A‐AUX Weathered but ok None 0.0 0.00 15.9 1.00 153.0 433.5
58 15.917 C Mid‐height check full length None 0.0 0.00 15.9 1.00 153.0 433.5
59 15.917 A Decay block at B59 Moderate Top Rot 0.0 0.00 3.0 0.19 132.8 360.4
59 15.917 A Hollow at top, 4' in Moderate Top Rot 4.0 0.25 15.9 1.00 132.8 360.4
60 15.917 C Tight, full length check None 0.0 0.00 15.9 1.00 153.0 433.5
61 15.917 A Hollow shell at 7' Advanced Center Rot 7.0 0.44 9.0 0.57 120.0 394.4
61 15.917 DSmall mid‐height check at mid‐
spanNone 8.0 0.50 8.0 0.50 153.0 433.5
61 15.917 D Soft end near B62 Minor Center Rot 13.5 0.85 15.5 0.97 144.0 426.4
62 15.917 A Moderate rot 0 ‐ 3' Moderate Center Rot 0.0 0.00 3.0 0.19 133.0 413.9
62 15.917 D Split, twisted end at B62 Bearing Area Reduction 15.5 0.97 15.5 0.97 153.0 433.5
63 15.917 FChecking mid‐height of stringer
at mid‐spanNone 8.0 0.50 8.0 0.50 153.0 433.5
NEW STRINGER 15.917 ‐ ‐ None 0.0 0.00 15.9 1.00 153.0 433.5
SEV. CTR. ROT 15.917 Severe Center Rot 0.0 0.00 15.9 1.00 88.0 325.8
SEV. TOP ROT 15.917 Severe Top Rot 0.0 0.00 15.9 1.00 117.0 308.2
ADV. CTR. ROT 15.917 ‐ ‐ Advanced Center Rot 0.0 0.00 15.9 1.00 120.0 394.4
ADV. TOP ROT 15.917 ‐ ‐ Advanced Top Rot 0.0 0.00 15.9 1.00 126.0 337.5
MOD. CTR. ROT 15.917 ‐ ‐ Moderate Center Rot 0.0 0.00 15.9 1.00 133.0 413.9
MOD. TOP ROT 15.917 ‐ ‐ Moderate Top Rot 0.0 0.00 15.9 1.00 132.8 360.4
MINOR CTR. ROT 15.917 ‐ ‐ Minor Center Rot 0.0 0.00 15.9 1.00 144.0 426.4
MINOR TOP ROT 15.917 ‐ ‐ Minor Top Rot 0.0 0.00 15.9 1.00 144.0 400.2
Timber Stringer Load Rating
C-17
Load Rating Calculations Wilburton TrestleDead Loads 3/10/16
King County Department of Natural Resources and Parks
Dead Loads:
Deck Type = Concrete ‐ Change between Concrete and Asphalt to change load rating parametersDeck Width 12 ft ‐ Change between desired deck widths to change load rating parametersNumber of Stringers 5Deck Thickness 7 in ‐ thickness of concrete panel or thickness of timber decking beneath asphalt wearing surfaceWearing Surface Thickness 0 ft ‐ Asphalt wearing surface
Component A (SF) Density (pcf) Weight (plf)Decking 7.0 155 1085 Change density depending on decking type
Wearing Surface 0.0 140 0
Railing ‐ ‐ 50
Stringer 1.06 50 319 (50 pcf for timber (WSDOT BDM))Total 2728.8 Total dead load per foot of superstructure
Shears and Moments:
Two‐Span Continuous (lb, lb‐ft) Simple Span (lb, lb‐ft) *For Use in Load Rating
Location Shear Moment Location Shear Moment Location Shear Moment
0.0 ‐16288 0 0.0 21717 0 0.0 27146 86416
0.1 ‐11944 21307 0.1 17373 31110 0.1 22803 44253
0.2 ‐7601 36058 0.2 13030 55306 0.2 18459 55306
0.3 ‐3258 44253 0.3 8687 72590 0.3 14116 72590
0.4 1086 48609 0.4 4343 82960 0.4 9773 82960
0.5 5429 40975 0.5 0 86416 0.5 5429 86416
0.6 9773 29502 0.6 ‐4343 82960 0.6 9773 82960
0.7 14116 11473 0.7 ‐8687 72590 0.7 14116 72590
0.8 18459 ‐13112 0.8 ‐13030 55306 0.8 18459 55306
0.9 22803 ‐44253 0.9 ‐17373 31110 0.9 22803 44253
1.0 27146 ‐86416 1.0 ‐21717 0 1.0 27146 86416
1.1 ‐22803 ‐44253 *Worst case shear and moment at
1.2 ‐18459 ‐13112 tenth points. This is a conservative
1.3 ‐14116 11473 86416.4 simplification.
1.4 ‐9773 29502
1.5 ‐5429 40975
1.6 ‐1086 48609
1.7 3258 44253
1.8 7601 36058
1.9 11944 21307
2.0 16288 0
Dead Load Distribution:
Dist. Factor 0.200 Divide total dead load by number of stringers
‐100000
‐80000
‐60000
‐40000
‐20000
0
20000
40000
60000
0.0 0.5 1.0 1.5 2.0
Force (LB, LB‐FT)
Span Point
Dead Load Forces ‐ Two‐Span Cont. Shear
Moment
‐40000
‐20000
0
20000
40000
60000
80000
100000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Dead Load Forces ‐ Simple Span Shear
Moment
0
20000
40000
60000
80000
100000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Worst Case Shear and Moment (Dead Load) Series3
Series4
Timber Stringer Load Rating
C-18
Load Rating Calculations Wilburton TrestleLive Load Distribution and Allowable Stress 3/10/16
King County Department of Natural Resources and Parks
Live Load Distribution and Impact:
Load Distribution 0.208 Lanes per stringer = (S/6) * (1 lane/2 wheels) (AASHTO Std. Specs. Table 3.23.1)Impact 1.00 Impact is not applied to timber structures (WSDOT 13.1.3)
Allowable stresses (per AASHTO Std. Specifications 17th Edition)
Unmodified Design Values
Visually Graded Lumber (AASHTO Table 13.5.1A) ‐ Douglas Fir No. 1
Fb 1350 psiFv 85 psiE 1600000 psi
Recall Section DimensionsStringer Height, H (in) 17Stringer Width, B (in) 9
Adjustments to Design Values
Fb Fv EWet Service Factor, CM 1.00 1.00 1.00Load Duration Factor, CD 1.15 1.15 ‐ AASHTO 13.5.5.2Size Factor, CF 0.96 ‐ ‐Beam Stability Factor, CL 0.99 ‐ ‐ AASHTO 13.6.4.4
lu 191 ‐ ‐ Unsupported length measured between bents (in)
lu/d 11.24 ‐ ‐
le 362.33 ‐ ‐ Effective unsupported length = 1.63*lu + 3d when 7 ≤ lu/d ≤ 14.3 (in)
Rb 8.72 ‐ ‐ sqrt(le*d/b^2) <= 50
E` 1600000 ‐ ‐ AASHTO 13.6.3KbE 0.438 ‐ ‐
FbE 9215.65 ‐ ‐ KbE*E'/RB^2 AASHTO (13‐8)
F*b 1493.56 ‐ ‐ Fb*CM*CF*CD3.77 ‐ ‐ 1st term in beam stability factor coefficient equation14.24 ‐ ‐ 1st term in square root6.49 ‐ ‐ 2nd term in square root
Modified Design Values for Visually Graded Lumber (AASHTO Table 13.5.1A)
Inventory Level Capacities
Fb 1479.42 psi
Fv 97.75 psi
Operating Level Capacities (AASHTO MBE 6B.5.2.7)
Fb 1967.63 psi
Fv 130.01 psi
Timber Stringer Load Rating
C-19
Load Rating Calculations Wilburton TrestleRating Factors 3/10/16Special 2 King County Department of Natural Resources and Parks
Shears and Moments:
LL Forces for Load Rating CalcsLocation Shear Moment
0.0 59090 926000.1 49080 935500.2 39070 1489400.3 34060 1642150.4 26360 1890350.5 23670 1985800.6 26360 1890350.7 34060 1642150.8 39070 1489400.9 49080 935501.0 59090 92600
Recall Dead Load ForcesLocation Shear Moment
0 27145.94609 86416.404790.1 22802.59472 44253.395810.2 18459.24334 55306.499070.3 14115.89197 72589.780030.4 9772.540594 82959.74860.5 5429.189219 86416.404790.6 9772.540594 82959.74860.7 14115.89197 72589.780030.8 18459.24334 55306.499070.9 22802.59472 44253.395811 27145.94609 86416.40479
‐50000
0
50000
100000
150000
200000
250000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Worst Case Shear and Moment
Series3 Series4
0
20000
40000
60000
80000
100000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Recall Dead Load Forces For Load Rating Calcs Series3
Series4
Timber Stringer Load Rating
C-20
Load Rating Calculations Wilburton TrestleRating Factors 3/10/16Special 2 King County Department of Natural Resources and Parks
Rating Factors:
Flexure Operating
Span StringerTenth Point
Begin
Tenth Point
EndS MDL (lb*in)* MLL (lb*in)* fDL fLL RF RF < 1.0?
1 A 0.00 0.47 413.89 207399 496450 501.10 1199.47 1.22
1 D 0.28 0.53 413.89 207399 496450 501.10 1199.47 1.22
2 B 0.00 0.13 400.17 207399 372350 518.28 930.49 1.56
3 A 0.33 0.67 337.50 207399 496450 614.52 1470.96 0.92 1
3 C 0.87 1.00 400.17 207399 372350 518.28 930.49 1.56
3 D 0.00 0.00 426.35 207399 231500 486.45 542.98 2.73
3 F 0.00 0.00 433.50 207399 231500 478.43 534.03 2.79
4 A 0.06 0.94 337.50 207399 496450 614.52 1470.96 0.92 1
4 F‐AUX 0.25 0.53 413.89 207399 496450 501.10 1199.47 1.22
5 A 0.06 0.94 325.80 207399 496450 636.58 1523.77 0.87 1
5 B 0.87 1.00 400.17 207399 372350 518.28 930.49 1.56
5 C 0.00 0.00 426.35 207399 231500 486.45 542.98 2.73
5 D 0.85 1.00 413.89 207399 372350 501.10 899.63 1.63
5 F 1.00 1.00 433.50 207399 231500 478.43 534.03 2.79
6 A 0.25 0.75 394.35 207399 496450 525.92 1258.90 1.15
6 F 0.36 0.61 426.35 207399 496450 486.45 1164.41 1.27
7 A 0.33 0.66 308.17 207399 496450 673.01 1610.98 0.80 1
7 D 1.00 1.00 433.50 207399 231500 478.43 534.03 2.79
7 F‐AUX 1.00 1.00 433.50 207399 231500 478.43 534.03 2.79
8 A 0.33 0.66 325.80 207399 496450 636.58 1523.77 0.87 1
8 B 0.87 1.00 400.17 207399 372350 518.28 930.49 1.56
8 F 0.36 0.61 400.17 207399 496450 518.28 1240.61 1.17
9 D 0.72 1.00 413.89 207399 410538 501.10 991.89 1.48
10 A 0.00 1.00 308.17 207399 496450 673.01 1610.98 0.80 1
10 F 0.40 0.60 433.50 207399 496450 478.43 1145.21 1.30
11 A 0.33 0.67 394.35 207399 496450 525.92 1258.90 1.15
11 D 0.00 1.00 433.50 207399 496450 478.43 1145.21 1.30
11 F‐AUX 0.36 0.61 400.17 207399 496450 518.28 1240.61 1.17
13 E 0.36 0.61 433.50 207399 496450 478.43 1145.21 1.30
14 C 0.87 1.00 360.38 207399 372350 575.51 1033.23 1.35
14 D 1.00 1.00 433.50 207399 231500 478.43 534.03 2.79
15 A 0.33 0.67 308.17 207399 496450 673.01 1610.98 0.80 1
15 C 0.00 0.13 360.38 207399 372350 575.51 1033.23 1.35
16 C 0.81 1.00 360.38 207399 372350 575.51 1033.23 1.35
17 A 0.75 1.00 308.17 207399 410538 673.01 1332.19 0.97 1
18 A 0.00 0.50 308.17 207399 496450 673.01 1610.98 0.80 1
18 A 0.50 1.00 360.38 207399 496450 575.51 1377.59 1.01
18 C 0.81 1.00 413.89 207399 372350 501.10 899.63 1.63
18 D 0.00 0.00 433.50 207399 231500 478.43 534.03 2.79
18 D 0.97 0.97 433.50 207399 233875 478.43 539.50 2.76
19 A 0.67 1.00 308.17 207399 472588 673.01 1533.55 0.84 1
19 F‐AUX 0.36 0.61 433.50 207399 496450 478.43 1145.21 1.30
20 A 0.33 0.67 413.89 207399 496450 501.10 1199.47 1.22
20 D 0.97 0.97 433.50 207399 233875 478.43 539.50 2.76
21 A 0.87 1.00 360.38 207399 372350 575.51 1033.23 1.35
21 D 0.40 0.60 433.50 207399 496450 478.43 1145.21 1.30
22 C 1.00 1.00 433.50 207399 231500 478.43 534.03 2.79
23 A 0.33 0.67 308.17 207399 496450 673.01 1610.98 0.80 1
23 D 0.00 0.00 433.50 207399 231500 478.43 534.03 2.79
23 D 0.00 1.00 433.50 207399 496450 478.43 1145.21 1.30
24 A 0.00 0.50 413.89 207399 496450 501.10 1199.47 1.22
25 A 0.33 0.67 308.17 207399 496450 673.01 1610.98 0.80 1
25 A 0.87 1.00 400.17 207399 372350 518.28 930.49 1.56
25 D 0.36 0.61 426.35 207399 496450 486.45 1164.41 1.27
26 A 0.33 0.67 360.38 207399 496450 575.51 1377.59 1.01
26 D 0.36 0.61 426.35 207399 496450 486.45 1164.41 1.27
26 D 0.36 0.61 433.50 207399 496450 478.43 1145.21 1.30
Timber Stringer Load Rating
C-21
Load Rating Calculations Wilburton TrestleRating Factors 3/10/16Special 2 King County Department of Natural Resources and Parks
27 A 0.40 0.80 360.38 207399 496450 575.51 1377.59 1.01
27 C 0.87 1.00 360.38 207399 372350 575.51 1033.23 1.35
28 A 0.20 0.80 360.38 207399 496450 575.51 1377.59 1.01
28 B 0.00 1.00 400.17 207399 496450 518.28 1240.61 1.17
29 A 0.00 0.19 360.38 207399 372350 575.51 1033.23 1.35
29 A 0.70 1.00 337.50 207399 410538 614.52 1216.41 1.11
29 D 0.85 0.97 413.89 207399 372350 501.10 899.63 1.63
30 A 0.00 0.13 360.38 207399 372350 575.51 1033.23 1.35
30 A 0.30 0.80 413.89 207399 496450 501.10 1199.47 1.22
31 A 0.87 1.00 360.38 207399 372350 575.51 1033.23 1.35
32 A 0.00 1.00 400.17 207399 496450 518.28 1240.61 1.17
32 B 0.00 1.00 400.17 207399 496450 518.28 1240.61 1.17
32 F‐AUX 0.00 0.19 400.17 207399 372350 518.28 930.49 1.56
34 C 0.87 1.00 400.17 207399 372350 518.28 930.49 1.56
35 A 0.10 0.60 413.89 207399 496450 501.10 1199.47 1.22
35 C 0.00 0.13 400.17 207399 372350 518.28 930.49 1.56
37 C 0.40 0.60 433.50 207399 496450 478.43 1145.21 1.30
38 A 0.50 1.00 325.80 207399 496450 636.58 1523.77 0.87 1
38 C 0.00 1.00 433.50 207399 496450 478.43 1145.21 1.30
39 A‐AUX 0.33 0.67 426.35 207399 496450 486.45 1164.41 1.27
39 F 0.00 1.00 433.50 207399 496450 478.43 1145.21 1.30
41 D 0.00 0.00 433.50 207399 233875 478.43 539.50 2.76
41 A 0.50 0.50 433.50 207399 496450 478.43 1145.21 1.30
42 C 0.00 1.00 433.50 207399 496450 478.43 1145.21 1.30
43 A 0.75 1.00 426.35 207399 410538 486.45 962.91 1.54
44 A 0.50 1.00 325.80 207399 496450 636.58 1523.77 0.87 1
44 F 0.82 0.97 413.89 207399 372350 501.10 899.63 1.63
45 A 0.00 0.25 413.89 207399 410538 501.10 991.89 1.48
51 D 0.01 0.02 433.50 207399 233875 478.43 539.50 2.76
52 D 0.01 0.02 433.50 207399 233875 478.43 539.50 2.76
53 F 0.66 0.97 400.17 207399 472588 518.28 1180.98 1.23
54 A 0.25 0.50 413.89 207399 496450 501.10 1199.47 1.22
55 A‐AUX 0.00 1.00 433.50 207399 496450 478.43 1145.21 1.30
55 C 0.00 0.13 426.35 207399 372350 486.45 873.34 1.70
55 C 0.00 1.00 433.50 207399 496450 478.43 1145.21 1.30
55 C 0.87 1.00 426.35 207399 372350 486.45 873.34 1.70
56 A 0.37 0.63 413.89 207399 496450 501.10 1199.47 1.22
57 A 0.00 1.00 394.35 207399 496450 525.92 1258.90 1.15
58 A‐AUX 0.00 1.00 433.50 207399 496450 478.43 1145.21 1.30
58 C 0.00 1.00 433.50 207399 496450 478.43 1145.21 1.30
59 A 0.00 0.19 360.38 207399 372350 575.51 1033.23 1.35
59 A 0.25 1.00 360.38 207399 496450 575.51 1377.59 1.01
60 C 0.00 1.00 433.50 207399 496450 478.43 1145.21 1.30
61 A 0.44 0.57 394.35 207399 496450 525.92 1258.90 1.15
61 D 0.50 0.50 433.50 207399 496450 478.43 1145.21 1.30
61 D 0.85 0.97 426.35 207399 372350 486.45 873.34 1.70
62 A 0.00 0.19 413.89 207399 372350 501.10 899.63 1.63
62 D 0.97 0.97 433.50 207399 233875 478.43 539.50 2.76
63 F 0.50 0.50 433.50 207399 496450 478.43 1145.21 1.30
NEW STRINGER ‐ 0.00 1.00 433.50 207399 496450 478.43 1145.21 1.30
SEV. CTR. ROT 0 0.00 1.00 325.80 207399 496450 636.58 1523.77 0.87
SEV. TOP ROT 0 0.00 1.00 308.17 207399 496450 673.01 1610.98 0.80
ADV. CTR. ROT ‐ 0.00 1.00 394.35 207399 496450 525.92 1258.90 1.15
ADV. TOP ROT ‐ 0.00 1.00 337.50 207399 496450 614.52 1470.96 0.92
MOD. CTR. ROT ‐ 0.00 1.00 413.89 207399 496450 501.10 1199.47 1.22
MOD. TOP ROT ‐ 0.00 1.00 360.38 207399 496450 575.51 1377.59 1.01
MINOR CTR. ROT ‐ 0.00 1.00 426.35 207399 496450 486.45 1164.41 1.27
MINOR TOP ROT ‐ 0.00 1.00 400.17 207399 496450 518.28 1240.61 1.17
MIN RATING FACTOR 0.80
NO. STRINGERS WITH FACTOR < 1.0 14
Timber Stringer Load Rating
C-22
Load Rating Calculations Wilburton TrestleRating Factors 3/10/16Special 2 King County Department of Natural Resources and Parks
Shear Operating
Span StringerTenth Point
Begin
Tenth Point
EndA VDL (lb) VLL (lb) fDL fLL RF RF < 1.0?
1 A 0.00 0.47 133 8144 15338 61.23 115.32 0.60 1
1 D 0.28 0.53 133 5538 12209 41.64 91.80 0.96 1
2 B 0.00 0.13 144 8144 15338 56.55 106.51 0.69 1
3 A 0.33 0.67 126 4235 10644 33.61 84.47 1.14
3 C 0.87 1.00 144 8144 15338 56.55 106.51 0.69 1
3 D 0.00 0.00 144 8144 0 56.55 0.00 1.00
3 F 0.00 0.00 153 8144 0 53.23 0.00 1.00
4 A 0.06 0.94 126 8144 15338 64.63 121.73 0.54 1
4 F‐AUX 0.25 0.53 133 5538 12209 41.64 91.80 0.96 1
5 A 0.06 0.94 88 8144 15338 92.54 174.29 0.21 1
5 B 0.87 1.00 144 8144 15338 56.55 106.51 0.69 1
5 C 0.00 0.00 144 8144 0 56.55 0.00 1.00
5 D 0.85 1.00 133 8144 15338 61.23 115.32 0.60 1
5 F 1.00 1.00 153 8144 0 53.23 0.00 1.00
6 A 0.25 0.75 120 5538 12209 46.15 101.74 0.82 1
6 F 0.36 0.61 144 4235 10644 29.41 73.91 1.36
7 A 0.33 0.66 117 4235 10644 36.19 90.97 1.03
7 D 1.00 1.00 153 8144 0 53.23 0.00 1.00
7 F‐AUX 1.00 1.00 153 8144 0 53.23 0.00 1.00
8 A 0.33 0.66 88 4235 10644 48.12 120.95 0.68 1
8 B 0.87 1.00 144 8144 15338 56.55 106.51 0.69 1
8 F 0.36 0.61 144 4235 10644 29.41 73.91 1.36
9 D 0.72 1.00 133 8144 15338 61.23 115.32 0.60 1
10 A 0.00 1.00 117 8144 15338 69.60 131.09 0.46 1
10 F 0.40 0.60 153 2932 8238 19.16 53.84 2.06
11 A 0.33 0.67 120 4235 10644 35.29 88.70 1.07
11 D 0.00 1.00 153 8144 15338 53.23 100.25 0.77 1
11 F‐AUX 0.36 0.61 144 4235 10644 29.41 73.91 1.36
13 E 0.36 0.61 153 4235 10644 27.68 69.57 1.47
14 C 0.87 1.00 132.75 8144 15338 61.35 115.54 0.59 1
14 D 1.00 1.00 153 8144 0 53.23 0.00 1.00
15 A 0.33 0.67 117 4235 10644 36.19 90.97 1.03
15 C 0.00 0.13 132.75 8144 15338 61.35 115.54 0.59 1
16 C 0.81 1.00 132.75 8144 15338 61.35 115.54 0.59 1
17 A 0.75 1.00 117 8144 15338 69.60 131.09 0.46 1
18 A 0.00 0.50 117 8144 15338 69.60 131.09 0.46 1
18 A 0.50 1.00 132.75 8144 15338 61.35 115.54 0.59 1
18 C 0.81 1.00 133 8144 15338 61.23 115.32 0.60 1
18 D 0.00 0.00 153 8144 0 53.23 0.00 1.00
18 D 0.97 0.97 153 8144 15338 53.23 100.25 0.77 1
19 A 0.67 1.00 117 8144 15338 69.60 131.09 0.46 1
19 F‐AUX 0.36 0.61 153 4235 10644 27.68 69.57 1.47
20 A 0.33 0.67 133 4235 10644 31.84 80.03 1.23
20 D 0.97 0.97 153 8144 15338 53.23 100.25 0.77 1
21 A 0.87 1.00 132.75 8144 15338 61.35 115.54 0.59 1
21 D 0.40 0.60 153 2932 8238 19.16 53.84 2.06
22 C 1.00 1.00 153 8144 0 53.23 0.00 1.00
23 A 0.33 0.67 117 4235 10644 36.19 90.97 1.03
23 D 0.00 0.00 153 8144 0 53.23 0.00 1.00
23 D 0.00 1.00 153 8144 15338 53.23 100.25 0.77 1
24 A 0.00 0.50 133 8144 15338 61.23 115.32 0.60 1
25 A 0.33 0.67 117 4235 10644 36.19 90.97 1.03
25 A 0.87 1.00 144 8144 15338 56.55 106.51 0.69 1
25 D 0.36 0.61 144 4235 10644 29.41 73.91 1.36
26 A 0.33 0.67 132.75 4235 10644 31.90 80.18 1.22
26 D 0.36 0.61 144 4235 10644 29.41 73.91 1.36
26 D 0.36 0.61 153 4235 10644 27.68 69.57 1.47
27 A 0.40 0.80 132.75 5538 12209 41.72 91.97 0.96 1
27 C 0.87 1.00 132.75 8144 15338 61.35 115.54 0.59 1
28 A 0.20 0.80 132.75 5538 12209 41.72 91.97 0.96 1
Timber Stringer Load Rating
C-23
Load Rating Calculations Wilburton TrestleRating Factors 3/10/16Special 2 King County Department of Natural Resources and Parks
28 B 0.00 1.00 144 8144 15338 56.55 106.51 0.69 1
29 A 0.00 0.19 132.75 8144 15338 61.35 115.54 0.59 1
29 A 0.70 1.00 126 8144 15338 64.63 121.73 0.54 1
29 D 0.85 0.97 133 8144 15338 61.23 115.32 0.60 1
30 A 0.00 0.13 132.75 8144 15338 61.35 115.54 0.59 1
30 A 0.30 0.80 133 5538 12209 41.64 91.80 0.96 1
31 A 0.87 1.00 132.75 8144 15338 61.35 115.54 0.59 1
32 A 0.00 1.00 144 8144 15338 56.55 106.51 0.69 1
32 B 0.00 1.00 144 8144 15338 56.55 106.51 0.69 1
32 F‐AUX 0.00 0.19 144 8144 15338 56.55 106.51 0.69 1
34 C 0.87 1.00 144 8144 15338 56.55 106.51 0.69 1
35 A 0.10 0.60 133 6841 15338 51.43 115.32 0.68 1
35 C 0.00 0.13 144 8144 15338 56.55 106.51 0.69 1
37 C 0.40 0.60 153 2932 8238 19.16 53.84 2.06
38 A 0.50 1.00 88 8144 15338 92.54 174.29 0.21 1
38 C 0.00 1.00 153 8144 15338 53.23 100.25 0.77 1
39 A‐AUX 0.33 0.67 144 4235 10644 29.41 73.91 1.36
39 F 0.00 1.00 153 8144 15338 53.23 100.25 0.77 1
41 D 0.00 0.00 153 8144 15338 53.23 100.25 0.77 1
41 A 0.50 0.50 153 1629 7397 10.65 48.35 2.47
42 C 0.00 1.00 153 8144 15338 53.23 100.25 0.77 1
43 A 0.75 1.00 144 8144 15338 56.55 106.51 0.69 1
44 A 0.50 1.00 88 8144 15338 92.54 174.29 0.21 1
44 F 0.82 0.97 133 8144 15338 61.23 115.32 0.60 1
45 A 0.00 0.25 133 8144 15338 61.23 115.32 0.60 1
51 D 0.01 0.02 153 8144 15338 53.23 100.25 0.77 1
52 D 0.01 0.02 153 8144 15338 53.23 100.25 0.77 1
53 F 0.66 0.97 144 8144 15338 56.55 106.51 0.69 1
54 A 0.25 0.50 133 5538 12209 41.64 91.80 0.96 1
55 A‐AUX 0.00 1.00 153 8144 15338 53.23 100.25 0.77 1
55 C 0.00 0.13 144 8144 15338 56.55 106.51 0.69 1
55 C 0.00 1.00 153 8144 15338 53.23 100.25 0.77 1
55 C 0.87 1.00 144 8144 15338 56.55 106.51 0.69 1
56 A 0.37 0.63 133 4235 10644 31.84 80.03 1.23
57 A 0.00 1.00 120 8144 15338 67.86 127.81 0.49 1
58 A‐AUX 0.00 1.00 153 8144 15338 53.23 100.25 0.77 1
58 C 0.00 1.00 153 8144 15338 53.23 100.25 0.77 1
59 A 0.00 0.19 132.75 8144 15338 61.35 115.54 0.59 1
59 A 0.25 1.00 132.75 8144 15338 61.35 115.54 0.59 1
60 C 0.00 1.00 153 8144 15338 53.23 100.25 0.77 1
61 A 0.44 0.57 120 2932 8238 24.43 68.65 1.54
61 D 0.50 0.50 153 1629 7397 10.65 48.35 2.47
61 D 0.85 0.97 144 8144 15338 56.55 106.51 0.69 1
62 A 0.00 0.19 133 8144 15338 61.23 115.32 0.60 1
62 D 0.97 0.97 153 8144 15338 53.23 100.25 0.77 1
63 F 0.50 0.50 153 1629 7397 10.65 48.35 2.47
NEW STRINGER ‐ 0.00 1.00 153 8144 15338 53.23 100.25 0.77
SEV. CTR. ROT 0 0.00 1.00 88 8144 15338 92.54 174.29 0.21
SEV. TOP ROT 0 0.00 1.00 117 8144 15338 69.60 131.09 0.46
ADV. CTR. ROT ‐ 0.00 1.00 120 8144 15338 67.86 127.81 0.49
ADV. TOP ROT ‐ 0.00 1.00 126 8144 15338 64.63 121.73 0.54
MOD. CTR. ROT ‐ 0.00 1.00 133 8144 15338 61.23 115.32 0.60
MOD. TOP ROT ‐ 0.00 1.00 132.75 8144 15338 61.35 115.54 0.59
MINOR CTR. ROT ‐ 0.00 1.00 144 8144 15338 56.55 106.51 0.69
MINOR TOP ROT ‐ 0.00 1.00 144 8144 15338 56.55 106.51 0.69
MIN RATING FACTOR 0.21
NO. STRINGERS WITH FACTOR < 1.0 71
Timber Stringer Load Rating
C-24
Load Rating Calculations Wilburton TrestleRating Factors 3/10/16AASHTO HS20 King County Department of Natural Resources and Parks
Shears and Moments:
Two‐Span Continuous (lb, lb‐ft) Simple Span (lb, lb‐ft)
Location Min. Shear Max. Shear Min. Moment Max. Moment Location Min. Shear Max. Shear Moment
0.0 ‐31560 3073 0 0 0.0 ‐34623 0 0
0.1 ‐27156 4401 ‐4685 42090 0.1 ‐28223 3200 43920
0.2 ‐22925 9504 ‐9370 69920 0.2 ‐25023 6400 78080
0.3 ‐18900 11924 ‐14055 86467 0.3 ‐22401 8578 102481
0.4 ‐15121 18407 ‐18740 92236 0.4 ‐18623 12800 117120
0.5 ‐11622 22079 ‐23425 88616 0.5 ‐15423 16000 122000
0.6 ‐8440 25234 ‐28110 77218 0.6 ‐12223 19200 117120
0.7 ‐5610 26614 ‐32800 59874 0.7 ‐9600 21378 102480
0.8 ‐3167 29981 ‐37480 38636 0.8 ‐5823 25600 78080
0.9 ‐1150 31576 ‐59125 15774 0.9 ‐2623 28800 43920
1.0 ‐35274 33689 ‐93340 0 1.0 0 32578 0
1.1 ‐31327 1833 ‐59271 25145
1.2 ‐29638 4096 ‐34844 49972
1.3 ‐27430 5375 ‐23764 71993
1.4 ‐24702 9728 ‐13480 89012
1.5 ‐21456 13000 ‐8015 99125
1.6 ‐17689 16512 ‐6412 100724
1.7 ‐13404 18343 ‐4809 92489
1.8 ‐8599 24064 ‐3206 73396
1.9 ‐3275 28008 ‐1603 42713
2.0 ‐1052 31581 0 0
‐120000
‐100000
‐80000
‐60000
‐40000
‐20000
0
20000
40000
60000
80000
100000
120000
0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0
Force (LB, LB‐FT)
Span Point
Forces for 2 Continuous Spans
Min. Shear
Min. Moment
Max Shear
‐50000
‐30000
‐10000
10000
30000
50000
70000
90000
110000
130000
150000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Forces for 1 Simple Span
Min. Shear
Moment
Max. Shear
Timber Stringer Load Rating
C-25
Load Rating Calculations Wilburton TrestleRating Factors 3/10/16AASHTO HS20 King County Department of Natural Resources and Parks
LL Forces for Load Rating Calcs (Max. of 2 cases above)Location Shear Moment
0.0 35274 933400.1 31327 591250.2 29638 780800.3 27430 1024800.4 24702 1171200.5 21456 1220000.6 24702 1171200.7 27430 1024800.8 29638 780800.9 31327 591251.0 35274 93340
Recall Dead Load ForcesLocation Shear Moment
0 27145.9 86416.40.1 22802.6 44253.40.2 18459.2 55306.50.3 14115.9 72589.80.4 9772.5 82959.70.5 5429.2 86416.40.6 9772.5 82959.70.7 14115.9 72589.80.8 18459.2 55306.50.9 22802.6 44253.41 27145.9 86416.4
‐50000
‐30000
‐10000
10000
30000
50000
70000
90000
110000
130000
150000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Worst Case Shear and Moment
Series3 Series4
0
20000
40000
60000
80000
100000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Recall Dead Load Forces For Load Rating Calcs Series3
Series4
Timber Stringer Load Rating
C-26
Load Rating Calculations Wilburton TrestleRating Factors 3/10/16AASHTO HS20 King County Department of Natural Resources and Parks
Rating Factors:
Flexure Inventory
Span StringerTenth Point
Begin
Tenth Point
EndS MDL (lb*in)* MLL (lb*in)* fDL fLL RF RF < 1.0?
1 A 0.00 0.47 413.89 207399 305000 501.10 736.91 1.33
1 D 0.28 0.53 413.89 207399 305000 501.10 736.91 1.33
2 B 0.00 0.13 400.17 207399 233350 518.28 583.13 1.65
3 A 0.33 0.67 337.50 207399 305000 614.52 903.70 0.96 1
3 C 0.87 1.00 400.17 207399 233350 518.28 583.13 1.65
3 D 0.00 0.00 426.35 207399 233350 486.45 547.32 1.81
3 F 0.00 0.00 433.50 207399 233350 478.43 538.29 1.86
4 A 0.06 0.94 337.50 207399 305000 614.52 903.70 0.96 1
4 F‐AUX 0.25 0.53 413.89 207399 305000 501.10 736.91 1.33
5 A 0.06 0.94 325.80 207399 305000 636.58 936.15 0.90 1
5 B 0.87 1.00 400.17 207399 233350 518.28 583.13 1.65
5 C 0.00 0.00 426.35 207399 233350 486.45 547.32 1.81
5 D 0.85 1.00 413.89 207399 233350 501.10 563.79 1.74
5 F 1.00 1.00 433.50 207399 233350 478.43 538.29 1.86
6 A 0.25 0.75 394.35 207399 305000 525.92 773.42 1.23
6 F 0.36 0.61 426.35 207399 305000 486.45 715.37 1.39
7 A 0.33 0.66 308.17 207399 305000 673.01 989.72 0.81 1
7 D 1.00 1.00 433.50 207399 233350 478.43 538.29 1.86
7 F‐AUX 1.00 1.00 433.50 207399 233350 478.43 538.29 1.86
8 A 0.33 0.66 325.80 207399 305000 636.58 936.15 0.90 1
8 B 0.87 1.00 400.17 207399 233350 518.28 583.13 1.65
8 F 0.36 0.61 400.17 207399 305000 518.28 762.18 1.26
9 D 0.72 1.00 413.89 207399 256200 501.10 619.00 1.58
10 A 0.00 1.00 308.17 207399 305000 673.01 989.72 0.81 1
10 F 0.40 0.60 433.50 207399 305000 478.43 703.58 1.42
11 A 0.33 0.67 394.35 207399 305000 525.92 773.42 1.23
11 D 0.00 1.00 433.50 207399 305000 478.43 703.58 1.42
11 F‐AUX 0.36 0.61 400.17 207399 305000 518.28 762.18 1.26
13 E 0.36 0.61 433.50 207399 305000 478.43 703.58 1.42
14 C 0.87 1.00 360.38 207399 233350 575.51 647.52 1.40
14 D 1.00 1.00 433.50 207399 233350 478.43 538.29 1.86
15 A 0.33 0.67 308.17 207399 305000 673.01 989.72 0.81 1
15 C 0.00 0.13 360.38 207399 233350 575.51 647.52 1.40
16 C 0.81 1.00 360.38 207399 233350 575.51 647.52 1.40
17 A 0.75 1.00 308.17 207399 256200 673.01 831.37 0.97 1
18 A 0.00 0.50 308.17 207399 305000 673.01 989.72 0.81 1
18 A 0.50 1.00 360.38 207399 305000 575.51 846.34 1.07
18 C 0.81 1.00 413.89 207399 233350 501.10 563.79 1.74
18 D 0.00 0.00 433.50 207399 233350 478.43 538.29 1.86
18 D 0.97 0.97 433.50 207399 233350 478.43 538.29 1.86
19 A 0.67 1.00 308.17 207399 292800 673.01 950.14 0.85 1
19 F‐AUX 0.36 0.61 433.50 207399 305000 478.43 703.58 1.42
20 A 0.33 0.67 413.89 207399 305000 501.10 736.91 1.33
20 D 0.97 0.97 433.50 207399 233350 478.43 538.29 1.86
21 A 0.87 1.00 360.38 207399 233350 575.51 647.52 1.40
21 D 0.40 0.60 433.50 207399 305000 478.43 703.58 1.42
22 C 1.00 1.00 433.50 207399 233350 478.43 538.29 1.86
23 A 0.33 0.67 308.17 207399 305000 673.01 989.72 0.81 1
23 D 0.00 0.00 433.50 207399 233350 478.43 538.29 1.86
23 D 0.00 1.00 433.50 207399 305000 478.43 703.58 1.42
24 A 0.00 0.50 413.89 207399 305000 501.10 736.91 1.33
25 A 0.33 0.67 308.17 207399 305000 673.01 989.72 0.81 1
25 A 0.87 1.00 400.17 207399 233350 518.28 583.13 1.65
25 D 0.36 0.61 426.35 207399 305000 486.45 715.37 1.39
26 A 0.33 0.67 360.38 207399 305000 575.51 846.34 1.07
26 D 0.36 0.61 426.35 207399 305000 486.45 715.37 1.39
26 D 0.36 0.61 433.50 207399 305000 478.43 703.58 1.42
Timber Stringer Load Rating
C-27
Load Rating Calculations Wilburton TrestleRating Factors 3/10/16AASHTO HS20 King County Department of Natural Resources and Parks
27 A 0.40 0.80 360.38 207399 305000 575.51 846.34 1.07
27 C 0.87 1.00 360.38 207399 233350 575.51 647.52 1.40
28 A 0.20 0.80 360.38 207399 305000 575.51 846.34 1.07
28 B 0.00 1.00 400.17 207399 305000 518.28 762.18 1.26
29 A 0.00 0.19 360.38 207399 233350 575.51 647.52 1.40
29 A 0.70 1.00 337.50 207399 256200 614.52 759.11 1.14
29 D 0.85 0.97 413.89 207399 233350 501.10 563.79 1.74
30 A 0.00 0.13 360.38 207399 233350 575.51 647.52 1.40
30 A 0.30 0.80 413.89 207399 305000 501.10 736.91 1.33
31 A 0.87 1.00 360.38 207399 233350 575.51 647.52 1.40
32 A 0.00 1.00 400.17 207399 305000 518.28 762.18 1.26
32 B 0.00 1.00 400.17 207399 305000 518.28 762.18 1.26
32 F‐AUX 0.00 0.19 400.17 207399 233350 518.28 583.13 1.65
34 C 0.87 1.00 400.17 207399 233350 518.28 583.13 1.65
35 A 0.10 0.60 413.89 207399 305000 501.10 736.91 1.33
35 C 0.00 0.13 400.17 207399 233350 518.28 583.13 1.65
37 C 0.40 0.60 433.50 207399 305000 478.43 703.58 1.42
38 A 0.50 1.00 325.80 207399 305000 636.58 936.15 0.90 1
38 C 0.00 1.00 433.50 207399 305000 478.43 703.58 1.42
39 A‐AUX 0.33 0.67 426.35 207399 305000 486.45 715.37 1.39
39 F 0.00 1.00 433.50 207399 305000 478.43 703.58 1.42
41 D 0.00 0.00 433.50 207399 233350 478.43 538.29 1.86
41 A 0.50 0.50 433.50 207399 305000 478.43 703.58 1.42
42 C 0.00 1.00 433.50 207399 305000 478.43 703.58 1.42
43 A 0.75 1.00 426.35 207399 256200 486.45 600.91 1.65
44 A 0.50 1.00 325.80 207399 305000 636.58 936.15 0.90 1
44 F 0.82 0.97 413.89 207399 233350 501.10 563.79 1.74
45 A 0.00 0.25 413.89 207399 256200 501.10 619.00 1.58
51 D 0.01 0.02 433.50 207399 233350 478.43 538.29 1.86
52 D 0.01 0.02 433.50 207399 233350 478.43 538.29 1.86
53 F 0.66 0.97 400.17 207399 292800 518.28 731.70 1.31
54 A 0.25 0.50 413.89 207399 305000 501.10 736.91 1.33
55 A‐AUX 0.00 1.00 433.50 207399 305000 478.43 703.58 1.42
55 C 0.00 0.13 426.35 207399 233350 486.45 547.32 1.81
55 C 0.00 1.00 433.50 207399 305000 478.43 703.58 1.42
55 C 0.87 1.00 426.35 207399 233350 486.45 547.32 1.81
56 A 0.37 0.63 413.89 207399 305000 501.10 736.91 1.33
57 A 0.00 1.00 394.35 207399 305000 525.92 773.42 1.23
58 A‐AUX 0.00 1.00 433.50 207399 305000 478.43 703.58 1.42
58 C 0.00 1.00 433.50 207399 305000 478.43 703.58 1.42
59 A 0.00 0.19 360.38 207399 233350 575.51 647.52 1.40
59 A 0.25 1.00 360.38 207399 305000 575.51 846.34 1.07
60 C 0.00 1.00 433.50 207399 305000 478.43 703.58 1.42
61 A 0.44 0.57 394.35 207399 305000 525.92 773.42 1.23
61 D 0.50 0.50 433.50 207399 305000 478.43 703.58 1.42
61 D 0.85 0.97 426.35 207399 233350 486.45 547.32 1.81
62 A 0.00 0.19 413.89 207399 233350 501.10 563.79 1.74
62 D 0.97 0.97 433.50 207399 233350 478.43 538.29 1.86
63 F 0.50 0.50 433.50 207399 305000 478.43 703.58 1.42
NEW STRINGER ‐ 0.00 1.00 433.50 207399 305000 478.43 703.58 1.42
SEV. CTR. ROT 0 0.00 1.00 325.80 207399 305000 636.58 936.15 0.90 1
SEV. TOP ROT 0 0.00 1.00 308.17 207399 305000 673.01 989.72 0.81 1
ADV. CTR. ROT ‐ 0.00 1.00 394.35 207399 305000 525.92 773.42 1.23
ADV. TOP ROT ‐ 0.00 1.00 337.50 207399 305000 614.52 903.70 0.96 1
MOD. CTR. ROT ‐ 0.00 1.00 413.89 207399 305000 501.10 736.91 1.33
MOD. TOP ROT ‐ 0.00 1.00 360.38 207399 305000 575.51 846.34 1.07
MINOR CTR. ROT ‐ 0.00 1.00 426.35 207399 305000 486.45 715.37 1.39
MINOR TOP ROT ‐ 0.00 1.00 400.17 207399 305000 518.28 762.18 1.26
MIN RATING FACTOR 0.81
NO. STRINGERS WITH FACTOR < 1.0 14
Timber Stringer Load Rating
C-28
Load Rating Calculations Wilburton TrestleRating Factors 3/10/16AASHTO HS20 King County Department of Natural Resources and Parks
Shear Inventory
Span StringerTenth Point
Begin
Tenth Point
EndA VDL (lb) VLL (lb) fDL fLL RF RF < 1?
1 A 0.00 0.47 133 8144 9262 61.23 69.64 0.52 1
1 D 0.28 0.53 133 5538 9262 41.64 69.64 0.81 1
2 B 0.00 0.13 144 8144 9262 56.55 64.32 0.64 1
3 A 0.33 0.67 126 4235 8572 33.61 68.03 0.94 1
3 C 0.87 1.00 144 8144 9262 56.55 64.32 0.64 1
3 D 0.00 0.00 144 8144 0 56.55 0.00 1.00
3 F 0.00 0.00 153 8144 0 53.23 0.00 1.00
4 A 0.06 0.94 126 8144 9262 64.63 73.51 0.45 1
4 F‐AUX 0.25 0.53 133 5538 9262 41.64 69.64 0.81 1
5 A 0.06 0.94 88 8144 9262 92.54 105.25 0.05 1
5 B 0.87 1.00 144 8144 9262 56.55 64.32 0.64 1
5 C 0.00 0.00 144 8144 0 56.55 0.00 1.00
5 D 0.85 1.00 133 8144 9262 61.23 69.64 0.52 1
5 F 1.00 1.00 153 8144 0 53.23 0.00 1.00
6 A 0.25 0.75 120 5538 9262 46.15 77.18 0.67 1
6 F 0.36 0.61 144 4235 8572 29.41 59.53 1.15
7 A 0.33 0.66 117 4235 8572 36.19 73.26 0.84 1
7 D 1.00 1.00 153 8144 0 53.23 0.00 1.00
7 F‐AUX 1.00 1.00 153 8144 0 53.23 0.00 1.00
8 A 0.33 0.66 88 4235 8572 48.12 97.41 0.51 1
8 B 0.87 1.00 144 8144 9262 56.55 64.32 0.64 1
8 F 0.36 0.61 144 4235 8572 29.41 59.53 1.15
9 D 0.72 1.00 133 8144 9262 61.23 69.64 0.52 1
10 A 0.00 1.00 117 8144 9262 69.60 79.16 0.36 1
10 F 0.40 0.60 153 2932 7719 19.16 50.45 1.56
11 A 0.33 0.67 120 4235 8572 35.29 71.43 0.87 1
11 D 0.00 1.00 153 8144 9262 53.23 60.54 0.74 1
11 F‐AUX 0.36 0.61 144 4235 8572 29.41 59.53 1.15
13 E 0.36 0.61 153 4235 8572 27.68 56.03 1.25
14 C 0.87 1.00 132.75 8144 9262 61.35 69.77 0.52 1
14 D 1.00 1.00 153 8144 0 53.23 0.00 1.00
15 A 0.33 0.67 117 4235 8572 36.19 73.26 0.84 1
15 C 0.00 0.13 132.75 8144 9262 61.35 69.77 0.52 1
16 C 0.81 1.00 132.75 8144 9262 61.35 69.77 0.52 1
17 A 0.75 1.00 117 8144 9262 69.60 79.16 0.36 1
18 A 0.00 0.50 117 8144 9262 69.60 79.16 0.36 1
18 A 0.50 1.00 132.75 8144 9262 61.35 69.77 0.52 1
18 C 0.81 1.00 133 8144 9262 61.23 69.64 0.52 1
18 D 0.00 0.00 153 8144 0 53.23 0.00 1.00
18 D 0.97 0.97 153 8144 0 53.23 0.00 1.00
19 A 0.67 1.00 117 8144 9262 69.60 79.16 0.36 1
19 F‐AUX 0.36 0.61 153 4235 8572 27.68 56.03 1.25
20 A 0.33 0.67 133 4235 8572 31.84 64.45 1.02
20 D 0.97 0.97 153 8144 0 53.23 0.00 1.00
21 A 0.87 1.00 132.75 8144 9262 61.35 69.77 0.52 1
21 D 0.40 0.60 153 2932 7719 19.16 50.45 1.56
22 C 1.00 1.00 153 8144 0 53.23 0.00 1.00
23 A 0.33 0.67 117 4235 8572 36.19 73.26 0.84 1
23 D 0.00 0.00 153 8144 0 53.23 0.00 1.00
23 D 0.00 1.00 153 8144 9262 53.23 60.54 0.74 1
24 A 0.00 0.50 133 8144 9262 61.23 69.64 0.52 1
25 A 0.33 0.67 117 4235 8572 36.19 73.26 0.84 1
25 A 0.87 1.00 144 8144 9262 56.55 64.32 0.64 1
25 D 0.36 0.61 144 4235 8572 29.41 59.53 1.15
26 A 0.33 0.67 132.75 4235 8572 31.90 64.57 1.02
26 D 0.36 0.61 144 4235 8572 29.41 59.53 1.15
26 D 0.36 0.61 153 4235 8572 27.68 56.03 1.25
Timber Stringer Load Rating
C-29
Load Rating Calculations Wilburton TrestleRating Factors 3/10/16AASHTO HS20 King County Department of Natural Resources and Parks
27 A 0.40 0.80 132.75 5538 9262 41.72 69.77 0.80 1
27 C 0.87 1.00 132.75 8144 9262 61.35 69.77 0.52 1
28 A 0.20 0.80 132.75 5538 9262 41.72 69.77 0.80 1
28 B 0.00 1.00 144 8144 9262 56.55 64.32 0.64 1
29 A 0.00 0.19 132.75 8144 9262 61.35 69.77 0.52 1
29 A 0.70 1.00 126 8144 9262 64.63 73.51 0.45 1
29 D 0.85 0.97 133 8144 9262 61.23 69.64 0.52 1
30 A 0.00 0.13 132.75 8144 9262 61.35 69.77 0.52 1
30 A 0.30 0.80 133 5538 9262 41.64 69.64 0.81 1
31 A 0.87 1.00 132.75 8144 9262 61.35 69.77 0.52 1
32 A 0.00 1.00 144 8144 9262 56.55 64.32 0.64 1
32 B 0.00 1.00 144 8144 9262 56.55 64.32 0.64 1
32 F‐AUX 0.00 0.19 144 8144 9262 56.55 64.32 0.64 1
34 C 0.87 1.00 144 8144 9262 56.55 64.32 0.64 1
35 A 0.10 0.60 133 6841 9262 51.43 69.64 0.67 1
35 C 0.00 0.13 144 8144 9262 56.55 64.32 0.64 1
37 C 0.40 0.60 153 2932 7719 19.16 50.45 1.56
38 A 0.50 1.00 88 8144 9262 92.54 105.25 0.05 1
38 C 0.00 1.00 153 8144 9262 53.23 60.54 0.74 1
39 A‐AUX 0.33 0.67 144 4235 8572 29.41 59.53 1.15
39 F 0.00 1.00 153 8144 9262 53.23 60.54 0.74 1
41 D 0.00 0.00 153 8144 0 53.23 0.00 1.00
41 A 0.50 0.50 153 1629 6705 10.65 43.82 1.99
42 C 0.00 1.00 153 8144 9262 53.23 60.54 0.74 1
43 A 0.75 1.00 144 8144 9262 56.55 64.32 0.64 1
44 A 0.50 1.00 88 8144 9262 92.54 105.25 0.05 1
44 F 0.82 0.97 133 8144 9262 61.23 69.64 0.52 1
45 A 0.00 0.25 133 8144 9262 61.23 69.64 0.52 1
51 D 0.01 0.02 153 8144 0 53.23 0.00 1.00
52 D 0.01 0.02 153 8144 0 53.23 0.00 1.00
53 F 0.66 0.97 144 8144 9262 56.55 64.32 0.64 1
54 A 0.25 0.50 133 5538 9262 41.64 69.64 0.81 1
55 A‐AUX 0.00 1.00 153 8144 9262 53.23 60.54 0.74 1
55 C 0.00 0.13 144 8144 9262 56.55 64.32 0.64 1
55 C 0.00 1.00 153 8144 9262 53.23 60.54 0.74 1
55 C 0.87 1.00 144 8144 9262 56.55 64.32 0.64 1
56 A 0.37 0.63 133 4235 8572 31.84 64.45 1.02
57 A 0.00 1.00 120 8144 9262 67.86 77.18 0.39 1
58 A‐AUX 0.00 1.00 153 8144 9262 53.23 60.54 0.74 1
58 C 0.00 1.00 153 8144 9262 53.23 60.54 0.74 1
59 A 0.00 0.19 132.75 8144 9262 61.35 69.77 0.52 1
59 A 0.25 1.00 132.75 8144 9262 61.35 69.77 0.52 1
60 C 0.00 1.00 153 8144 9262 53.23 60.54 0.74 1
61 A 0.44 0.57 120 2932 7719 24.43 64.33 1.14
61 D 0.50 0.50 153 1629 6705 10.65 43.82 1.99
61 D 0.85 0.97 144 8144 9262 56.55 64.32 0.64 1
62 A 0.00 0.19 133 8144 9262 61.23 69.64 0.52 1
62 D 0.97 0.97 153 8144 0 53.23 0.00 1.00
63 F 0.50 0.50 153 1629 6705 10.65 43.82 1.99
NEW STRINGER ‐ 0.00 1.00 153 8144 9262 53.23 60.54 0.74
SEV. CTR. ROT 0 0.00 1.00 88 8144 9262 92.54 105.25 0.05
SEV. TOP ROT 0 0.00 1.00 117 8144 9262 69.60 79.16 0.36ADV. CTR. ROT ‐ 0.00 1.00 120 8144 9262 67.86 77.18 0.39
ADV. TOP ROT ‐ 0.00 1.00 126 8144 9262 64.63 73.51 0.45
MOD. CTR. ROT ‐ 0.00 1.00 133 8144 9262 61.23 69.64 0.52
MOD. TOP ROT ‐ 0.00 1.00 132.75 8144 9262 61.35 69.77 0.52
MINOR CTR. ROT ‐ 0.00 1.00 144 8144 9262 56.55 64.32 0.64
MINOR TOP ROT ‐ 0.00 1.00 144 8144 9262 56.55 64.32 0.64
MIN RATING FACTOR 0.05
NO. STRINGERS WITH FACTOR < 1.0 71
Timber Stringer Load Rating
C-30
Load Rating Calculations Wilburton TrestleRating Factors 3/10/16SU5 King County Department of Natural Resources and Parks
Shears and Moments:
LL Forces for Load Rating Calcs Location Shear Moment
0.0 33340 669000.1 28090 535500.2 22840 870900.3 20215 958550.4 16895 1073750.5 16200 1101300.6 16895 1073750.7 20215 958550.8 22840 870900.9 28090 535501.0 33340 66900
Recall Dead Load ForcesLocation Shear Moment
0 27145.94609 86416.404790.1 22802.59472 44253.395810.2 18459.24334 55306.499070.3 14115.89197 72589.780030.4 9772.540594 82959.74860.5 5429.189219 86416.404790.6 9772.540594 82959.74860.7 14115.89197 72589.780030.8 18459.24334 55306.499070.9 22802.59472 44253.395811 27145.94609 86416.40479
‐50000
‐30000
‐10000
10000
30000
50000
70000
90000
110000
130000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Worst Case Shear and Moment
Series3 Series4
0
20000
40000
60000
80000
100000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Recall Dead Load Forces For Load Rating Calcs Series3
Series4
Timber Stringer Load Rating
C-31
Load Rating Calculations Wilburton TrestleRating Factors 3/10/16SU5 King County Department of Natural Resources and Parks
Rating Factors:
Flexure Operating
Span StringerTenth Point
Begin
Tenth Point
EndS MDL (lb*in)* MLL (lb*in)* fDL fLL RF RF < 1.0?
1 A 0.00 0.47 413.89 207399 275325 501.10 665.21 2.20
1 D 0.28 0.53 413.89 207399 275325 501.10 665.21 2.20
2 B 0.00 0.13 400.17 207399 217725 518.28 544.09 2.66
3 A 0.33 0.67 337.50 207399 275325 614.52 815.78 1.66
3 C 0.87 1.00 400.17 207399 217725 518.28 544.09 2.66
3 D 0.00 0.00 426.35 207399 167250 486.45 392.28 3.78
3 F 0.00 0.00 433.50 207399 167250 478.43 385.81 3.86
4 A 0.06 0.94 337.50 207399 275325 614.52 815.78 1.66
4 F‐AUX 0.25 0.53 413.89 207399 275325 501.10 665.21 2.20
5 A 0.06 0.94 325.80 207399 275325 636.58 845.06 1.58
5 B 0.87 1.00 400.17 207399 217725 518.28 544.09 2.66
5 C 0.00 0.00 426.35 207399 167250 486.45 392.28 3.78
5 D 0.85 1.00 413.89 207399 217725 501.10 526.04 2.79
5 F 1.00 1.00 433.50 207399 167250 478.43 385.81 3.86
6 A 0.25 0.75 394.35 207399 275325 525.92 698.17 2.06
6 F 0.36 0.61 426.35 207399 275325 486.45 645.77 2.29
7 A 0.33 0.66 308.17 207399 275325 673.01 893.43 1.45
7 D 1.00 1.00 433.50 207399 167250 478.43 385.81 3.86
7 F‐AUX 1.00 1.00 433.50 207399 167250 478.43 385.81 3.86
8 A 0.33 0.66 325.80 207399 275325 636.58 845.06 1.58
8 B 0.87 1.00 400.17 207399 217725 518.28 544.09 2.66
8 F 0.36 0.61 400.17 207399 275325 518.28 688.03 2.11
9 D 0.72 1.00 413.89 207399 239638 501.10 578.99 2.53
10 A 0.00 1.00 308.17 207399 275325 673.01 893.43 1.45
10 F 0.40 0.60 433.50 207399 275325 478.43 635.12 2.34
11 A 0.33 0.67 394.35 207399 275325 525.92 698.17 2.06
11 D 0.00 1.00 433.50 207399 275325 478.43 635.12 2.34
11 F‐AUX 0.36 0.61 400.17 207399 275325 518.28 688.03 2.11
13 E 0.36 0.61 433.50 207399 275325 478.43 635.12 2.34
14 C 0.87 1.00 360.38 207399 217725 575.51 604.16 2.30
14 D 1.00 1.00 433.50 207399 167250 478.43 385.81 3.86
15 A 0.33 0.67 308.17 207399 275325 673.01 893.43 1.45
15 C 0.00 0.13 360.38 207399 217725 575.51 604.16 2.30
16 C 0.81 1.00 360.38 207399 217725 575.51 604.16 2.30
17 A 0.75 1.00 308.17 207399 239638 673.01 777.62 1.66
18 A 0.00 0.50 308.17 207399 275325 673.01 893.43 1.45
18 A 0.50 1.00 360.38 207399 275325 575.51 764.00 1.82
18 C 0.81 1.00 413.89 207399 217725 501.10 526.04 2.79
18 D 0.00 0.00 433.50 207399 167250 478.43 385.81 3.86
18 D 0.97 0.97 433.50 207399 167250 478.43 385.81 3.86
19 A 0.67 1.00 308.17 207399 268438 673.01 871.08 1.49
19 F‐AUX 0.36 0.61 433.50 207399 275325 478.43 635.12 2.34
20 A 0.33 0.67 413.89 207399 275325 501.10 665.21 2.20
20 D 0.97 0.97 433.50 207399 167250 478.43 385.81 3.86
21 A 0.87 1.00 360.38 207399 217725 575.51 604.16 2.30
21 D 0.40 0.60 433.50 207399 275325 478.43 635.12 2.34
22 C 1.00 1.00 433.50 207399 167250 478.43 385.81 3.86
23 A 0.33 0.67 308.17 207399 275325 673.01 893.43 1.45
23 D 0.00 0.00 433.50 207399 167250 478.43 385.81 3.86
23 D 0.00 1.00 433.50 207399 275325 478.43 635.12 2.34
24 A 0.00 0.50 413.89 207399 275325 501.10 665.21 2.20
25 A 0.33 0.67 308.17 207399 275325 673.01 893.43 1.45
25 A 0.87 1.00 400.17 207399 217725 518.28 544.09 2.66
25 D 0.36 0.61 426.35 207399 275325 486.45 645.77 2.29
26 A 0.33 0.67 360.38 207399 275325 575.51 764.00 1.82
26 D 0.36 0.61 426.35 207399 275325 486.45 645.77 2.29
26 D 0.36 0.61 433.50 207399 275325 478.43 635.12 2.34
27 A 0.40 0.80 360.38 207399 275325 575.51 764.00 1.82
Timber Stringer Load Rating
C-32
Load Rating Calculations Wilburton TrestleRating Factors 3/10/16SU5 King County Department of Natural Resources and Parks
27 C 0.87 1.00 360.38 207399 217725 575.51 604.16 2.30
28 A 0.20 0.80 360.38 207399 275325 575.51 764.00 1.82
28 B 0.00 1.00 400.17 207399 275325 518.28 688.03 2.11
29 A 0.00 0.19 360.38 207399 217725 575.51 604.16 2.30
29 A 0.70 1.00 337.50 207399 239638 614.52 710.04 1.91
29 D 0.85 0.97 413.89 207399 217725 501.10 526.04 2.79
30 A 0.00 0.13 360.38 207399 217725 575.51 604.16 2.30
30 A 0.30 0.80 413.89 207399 275325 501.10 665.21 2.20
31 A 0.87 1.00 360.38 207399 217725 575.51 604.16 2.30
32 A 0.00 1.00 400.17 207399 275325 518.28 688.03 2.11
32 B 0.00 1.00 400.17 207399 275325 518.28 688.03 2.11
32 F‐AUX 0.00 0.19 400.17 207399 217725 518.28 544.09 2.66
34 C 0.87 1.00 400.17 207399 217725 518.28 544.09 2.66
35 A 0.10 0.60 413.89 207399 275325 501.10 665.21 2.20
35 C 0.00 0.13 400.17 207399 217725 518.28 544.09 2.66
37 C 0.40 0.60 433.50 207399 275325 478.43 635.12 2.34
38 A 0.50 1.00 325.80 207399 275325 636.58 845.06 1.58
38 C 0.00 1.00 433.50 207399 275325 478.43 635.12 2.34
39 A‐AUX 0.33 0.67 426.35 207399 275325 486.45 645.77 2.29
39 F 0.00 1.00 433.50 207399 275325 478.43 635.12 2.34
41 D 0.00 0.00 433.50 207399 167250 478.43 385.81 3.86
41 A 0.50 0.50 433.50 207399 275325 478.43 635.12 2.34
42 C 0.00 1.00 433.50 207399 275325 478.43 635.12 2.34
43 A 0.75 1.00 426.35 207399 239638 486.45 562.06 2.64
44 A 0.50 1.00 325.80 207399 275325 636.58 845.06 1.58
44 F 0.82 0.97 413.89 207399 217725 501.10 526.04 2.79
45 A 0.00 0.25 413.89 207399 239638 501.10 578.99 2.53
51 D 0.01 0.02 433.50 207399 167250 478.43 385.81 3.86
52 D 0.01 0.02 433.50 207399 167250 478.43 385.81 3.86
53 F 0.66 0.97 400.17 207399 268438 518.28 670.81 2.16
54 A 0.25 0.50 413.89 207399 275325 501.10 665.21 2.20
55 A‐AUX 0.00 1.00 433.50 207399 275325 478.43 635.12 2.34
55 C 0.00 0.13 426.35 207399 217725 486.45 510.67 2.90
55 C 0.00 1.00 433.50 207399 275325 478.43 635.12 2.34
55 C 0.87 1.00 426.35 207399 217725 486.45 510.67 2.90
56 A 0.37 0.63 413.89 207399 275325 501.10 665.21 2.20
57 A 0.00 1.00 394.35 207399 275325 525.92 698.17 2.06
58 A‐AUX 0.00 1.00 433.50 207399 275325 478.43 635.12 2.34
58 C 0.00 1.00 433.50 207399 275325 478.43 635.12 2.34
59 A 0.00 0.19 360.38 207399 217725 575.51 604.16 2.30
59 A 0.25 1.00 360.38 207399 275325 575.51 764.00 1.82
60 C 0.00 1.00 433.50 207399 275325 478.43 635.12 2.34
61 A 0.44 0.57 394.35 207399 275325 525.92 698.17 2.06
61 D 0.50 0.50 433.50 207399 275325 478.43 635.12 2.34
61 D 0.85 0.97 426.35 207399 217725 486.45 510.67 2.90
62 A 0.00 0.19 413.89 207399 217725 501.10 526.04 2.79
62 D 0.97 0.97 433.50 207399 167250 478.43 385.81 3.86
63 F 0.50 0.50 433.50 207399 275325 478.43 635.12 2.34
NEW STRINGER ‐ 0.00 1.00 433.50 207399 275325 478.43 635.12 2.34
SEV. CTR. ROT 0 0.00 1.00 325.80 207399 275325 636.58 845.06 1.58
SEV. TOP ROT 0 0.00 1.00 308.17 207399 275325 673.01 893.43 1.45
ADV. CTR. ROT ‐ 0.00 1.00 394.35 207399 275325 525.92 698.17 2.06
ADV. TOP ROT ‐ 0.00 1.00 337.50 207399 275325 614.52 815.78 1.66
MOD. CTR. ROT ‐ 0.00 1.00 413.89 207399 275325 501.10 665.21 2.20
MOD. TOP ROT ‐ 0.00 1.00 360.38 207399 275325 575.51 764.00 1.82
MINOR CTR. ROT ‐ 0.00 1.00 426.35 207399 275325 486.45 645.77 2.29
MINOR TOP ROT ‐ 0.00 1.00 400.17 207399 275325 518.28 688.03 2.11
MIN RATING FACTOR 1.45
NO. STRINGERS WITH FACTOR < 1.0 0
Timber Stringer Load Rating
C-33
Load Rating Calculations Wilburton TrestleRating Factors 3/10/16SU5 King County Department of Natural Resources and Parks
Shear Operating
Span StringerTenth Point
Begin
Tenth Point
EndA VDL (lb) VLL (lb) fDL fLL RF RF < 1.0?
1 A 0.00 0.47 133 8144 8778 61.23 66.00 1.04
1 D 0.28 0.53 133 5538 7138 41.64 53.67 1.65
2 B 0.00 0.13 144 8144 8778 56.55 60.96 1.20
3 A 0.33 0.67 126 4235 6317 33.61 50.14 1.92
3 C 0.87 1.00 144 8144 8778 56.55 60.96 1.20
3 D 0.00 0.00 144 8144 0 56.55 0.00 1.00
3 F 0.00 0.00 153 8144 0 53.23 0.00 1.00
4 A 0.06 0.94 126 8144 8778 64.63 69.67 0.94 1
4 F‐AUX 0.25 0.53 133 5538 7138 41.64 53.67 1.65
5 A 0.06 0.94 88 8144 8778 92.54 99.75 0.38 1
5 B 0.87 1.00 144 8144 8778 56.55 60.96 1.20
5 C 0.00 0.00 144 8144 0 56.55 0.00 1.00
5 D 0.85 1.00 133 8144 8778 61.23 66.00 1.04
5 F 1.00 1.00 153 8144 0 53.23 0.00 1.00
6 A 0.25 0.75 120 5538 7138 46.15 59.48 1.41
6 F 0.36 0.61 144 4235 6317 29.41 43.87 2.29
7 A 0.33 0.66 117 4235 6317 36.19 53.99 1.74
7 D 1.00 1.00 153 8144 0 53.23 0.00 1.00
7 F‐AUX 1.00 1.00 153 8144 0 53.23 0.00 1.00
8 A 0.33 0.66 88 4235 6317 48.12 71.79 1.14
8 B 0.87 1.00 144 8144 8778 56.55 60.96 1.20
8 F 0.36 0.61 144 4235 6317 29.41 43.87 2.29
9 D 0.72 1.00 133 8144 8778 61.23 66.00 1.04
10 A 0.00 1.00 117 8144 8778 69.60 75.03 0.81 1
10 F 0.40 0.60 153 2932 5280 19.16 34.51 3.21
11 A 0.33 0.67 120 4235 6317 35.29 52.64 1.80
11 D 0.00 1.00 153 8144 8778 53.23 57.37 1.34
11 F‐AUX 0.36 0.61 144 4235 6317 29.41 43.87 2.29
13 E 0.36 0.61 153 4235 6317 27.68 41.29 2.48
14 C 0.87 1.00 132.75 8144 8778 61.35 66.13 1.04
14 D 1.00 1.00 153 8144 0 53.23 0.00 1.00
15 A 0.33 0.67 117 4235 6317 36.19 53.99 1.74
15 C 0.00 0.13 132.75 8144 8778 61.35 66.13 1.04
16 C 0.81 1.00 132.75 8144 8778 61.35 66.13 1.04
17 A 0.75 1.00 117 8144 8778 69.60 75.03 0.81 1
18 A 0.00 0.50 117 8144 8778 69.60 75.03 0.81 1
18 A 0.50 1.00 132.75 8144 8778 61.35 66.13 1.04
18 C 0.81 1.00 133 8144 8778 61.23 66.00 1.04
18 D 0.00 0.00 153 8144 0 53.23 0.00 1.00
18 D 0.97 0.97 153 8144 8778 53.23 57.37 1.34
19 A 0.67 1.00 117 8144 8778 69.60 75.03 0.81 1
19 F‐AUX 0.36 0.61 153 4235 6317 27.68 41.29 2.48
20 A 0.33 0.67 133 4235 6317 31.84 47.50 2.07
20 D 0.97 0.97 153 8144 8778 53.23 57.37 1.34
21 A 0.87 1.00 132.75 8144 8778 61.35 66.13 1.04
21 D 0.40 0.60 153 2932 5280 19.16 34.51 3.21
22 C 1.00 1.00 153 8144 0 53.23 0.00 1.00
23 A 0.33 0.67 117 4235 6317 36.19 53.99 1.74
23 D 0.00 0.00 153 8144 0 53.23 0.00 1.00
23 D 0.00 1.00 153 8144 8778 53.23 57.37 1.34
24 A 0.00 0.50 133 8144 8778 61.23 66.00 1.04
25 A 0.33 0.67 117 4235 6317 36.19 53.99 1.74
25 A 0.87 1.00 144 8144 8778 56.55 60.96 1.20
25 D 0.36 0.61 144 4235 6317 29.41 43.87 2.29
26 A 0.33 0.67 132.75 4235 6317 31.90 47.59 2.06
26 D 0.36 0.61 144 4235 6317 29.41 43.87 2.29
Timber Stringer Load Rating
C-34
Load Rating Calculations Wilburton TrestleRating Factors 3/10/16SU5 King County Department of Natural Resources and Parks
26 D 0.36 0.61 153 4235 6317 27.68 41.29 2.48
27 A 0.40 0.80 132.75 5538 7138 41.72 53.77 1.64
27 C 0.87 1.00 132.75 8144 8778 61.35 66.13 1.04
28 A 0.20 0.80 132.75 5538 7138 41.72 53.77 1.64
28 B 0.00 1.00 144 8144 8778 56.55 60.96 1.20
29 A 0.00 0.19 132.75 8144 8778 61.35 66.13 1.04
29 A 0.70 1.00 126 8144 8778 64.63 69.67 0.94 1
29 D 0.85 0.97 133 8144 8778 61.23 66.00 1.04
30 A 0.00 0.13 132.75 8144 8778 61.35 66.13 1.04
30 A 0.30 0.80 133 5538 7138 41.64 53.67 1.65
31 A 0.87 1.00 132.75 8144 8778 61.35 66.13 1.04
32 A 0.00 1.00 144 8144 8778 56.55 60.96 1.20
32 B 0.00 1.00 144 8144 8778 56.55 60.96 1.20
32 F‐AUX 0.00 0.19 144 8144 8778 56.55 60.96 1.20
34 C 0.87 1.00 144 8144 8778 56.55 60.96 1.20
35 A 0.10 0.60 133 6841 8778 51.43 66.00 1.19
35 C 0.00 0.13 144 8144 8778 56.55 60.96 1.20
37 C 0.40 0.60 153 2932 5280 19.16 34.51 3.21
38 A 0.50 1.00 88 8144 8778 92.54 99.75 0.38 1
38 C 0.00 1.00 153 8144 8778 53.23 57.37 1.34
39 A‐AUX 0.33 0.67 144 4235 6317 29.41 43.87 2.29
39 F 0.00 1.00 153 8144 8778 53.23 57.37 1.34
41 D 0.00 0.00 153 8144 8778 53.23 57.37 1.34
41 A 0.50 0.50 153 1629 5063 10.65 33.09 3.61
42 C 0.00 1.00 153 8144 8778 53.23 57.37 1.34
43 A 0.75 1.00 144 8144 8778 56.55 60.96 1.20
44 A 0.50 1.00 88 8144 8778 92.54 99.75 0.38 1
44 F 0.82 0.97 133 8144 8778 61.23 66.00 1.04
45 A 0.00 0.25 133 8144 8778 61.23 66.00 1.04
51 D 0.01 0.02 153 8144 8778 53.23 57.37 1.34
52 D 0.01 0.02 153 8144 8778 53.23 57.37 1.34
53 F 0.66 0.97 144 8144 8778 56.55 60.96 1.20
54 A 0.25 0.50 133 5538 7138 41.64 53.67 1.65
55 A‐AUX 0.00 1.00 153 8144 8778 53.23 57.37 1.34
55 C 0.00 0.13 144 8144 8778 56.55 60.96 1.20
55 C 0.00 1.00 153 8144 8778 53.23 57.37 1.34
55 C 0.87 1.00 144 8144 8778 56.55 60.96 1.20
56 A 0.37 0.63 133 4235 6317 31.84 47.50 2.07
57 A 0.00 1.00 120 8144 8778 67.86 73.15 0.85 1
58 A‐AUX 0.00 1.00 153 8144 8778 53.23 57.37 1.34
58 C 0.00 1.00 153 8144 8778 53.23 57.37 1.34
59 A 0.00 0.19 132.75 8144 8778 61.35 66.13 1.04
59 A 0.25 1.00 132.75 8144 8778 61.35 66.13 1.04
60 C 0.00 1.00 153 8144 8778 53.23 57.37 1.34
61 A 0.44 0.57 120 2932 5280 24.43 44.00 2.40
61 D 0.50 0.50 153 1629 5063 10.65 33.09 3.61
61 D 0.85 0.97 144 8144 8778 56.55 60.96 1.20
62 A 0.00 0.19 133 8144 8778 61.23 66.00 1.04
62 D 0.97 0.97 153 8144 8778 53.23 57.37 1.34
63 F 0.50 0.50 153 1629 5063 10.65 33.09 3.61
NEW STRINGER ‐ 0.00 1.00 153 8144 8778 53.23 57.37 1.34
SEV. CTR. ROT 0 0.00 1.00 88 8144 8778 92.54 99.75 0.38
SEV. TOP ROT 0 0.00 1.00 117 8144 8778 69.60 75.03 0.81
ADV. CTR. ROT ‐ 0.00 1.00 120 8144 8778 67.86 73.15 0.85
ADV. TOP ROT ‐ 0.00 1.00 126 8144 8778 64.63 69.67 0.94
MOD. CTR. ROT ‐ 0.00 1.00 133 8144 8778 61.23 66.00 1.04
MOD. TOP ROT ‐ 0.00 1.00 132.75 8144 8778 61.35 66.13 1.04
MINOR CTR. ROT ‐ 0.00 1.00 144 8144 8778 56.55 60.96 1.20
MINOR TOP ROT ‐ 0.00 1.00 144 8144 8778 56.55 60.96 1.20
MIN RATING FACTOR 0.38
NO. STRINGERS WITH FACTOR < 1.0 10
Timber Stringer Load Rating
C-35
Load Rating Calculations Wilburton TrestleRating Factors 3/10/16AASHTO H10 King County Department of Natural Resources and Parks
Shears and Moments:
LL Forces for Load Rating Calcs Location Shear Moment
0.0 16330 286800.1 14000 266900.2 12000 457500.3 11000 514700.4 9935 590950.5 9870 610000.6 9935 590950.7 11000 514700.8 12000 457500.9 14000 266901.0 16330 28680
Recall Dead Load ForcesLocation Shear Moment
0 27146 864160.1 22803 442530.2 18459 553060.3 14116 725900.4 9773 829600.5 5429 864160.6 9773 829600.7 14116 725900.8 18459 553060.9 22803 442531 27146 86416
‐50000
‐30000
‐10000
10000
30000
50000
70000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Worst Case Shear and Moment
Series3 Series4
0
20000
40000
60000
80000
100000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Recall Dead Load Forces For Load Rating Calcs Series3
Series4
Timber Stringer Load Rating
C-36
Load Rating Calculations Wilburton TrestleRating Factors 3/10/16AASHTO H10 King County Department of Natural Resources and Parks
Rating Factors:
Flexure Inventory
Span StringerTenth Point
Begin
Tenth Point
EndS MDL (lb*in)* MLL (lb*in)* fDL fLL RF RF < 1.0?
1 A 0.00 0.47 413.89 207399 152500 501.10 368.45 2.66
1 D 0.28 0.53 413.89 207399 152500 501.10 368.45 2.66
2 B 0.00 0.13 400.17 207399 114375 518.28 285.82 3.36
3 A 0.33 0.67 337.50 207399 152500 614.52 451.85 1.91
3 C 0.87 1.00 400.17 207399 114375 518.28 285.82 3.36
3 D 0.00 0.00 426.35 207399 71700 486.45 168.17 5.90
3 F 0.00 0.00 433.50 207399 71700 478.43 165.40 6.05
4 A 0.06 0.94 337.50 207399 152500 614.52 451.85 1.91
4 F‐AUX 0.25 0.53 413.89 207399 152500 501.10 368.45 2.66
5 A 0.06 0.94 325.80 207399 152500 636.58 468.07 1.80
5 B 0.87 1.00 400.17 207399 114375 518.28 285.82 3.36
5 C 0.00 0.00 426.35 207399 71700 486.45 168.17 5.90
5 D 0.85 1.00 413.89 207399 114375 501.10 276.34 3.54
5 F 1.00 1.00 433.50 207399 71700 478.43 165.40 6.05
6 A 0.25 0.75 394.35 207399 152500 525.92 386.71 2.47
6 F 0.36 0.61 426.35 207399 152500 486.45 357.68 2.78
7 A 0.33 0.66 308.17 207399 152500 673.01 494.86 1.63
7 D 1.00 1.00 433.50 207399 71700 478.43 165.40 6.05
7 F‐AUX 1.00 1.00 433.50 207399 71700 478.43 165.40 6.05
8 A 0.33 0.66 325.80 207399 152500 636.58 468.07 1.80
8 B 0.87 1.00 400.17 207399 114375 518.28 285.82 3.36
8 F 0.36 0.61 400.17 207399 152500 518.28 381.09 2.52
9 D 0.72 1.00 413.89 207399 128675 501.10 310.89 3.15
10 A 0.00 1.00 308.17 207399 152500 673.01 494.86 1.63
10 F 0.40 0.60 433.50 207399 152500 478.43 351.79 2.85
11 A 0.33 0.67 394.35 207399 152500 525.92 386.71 2.47
11 D 0.00 1.00 433.50 207399 152500 478.43 351.79 2.85
11 F‐AUX 0.36 0.61 400.17 207399 152500 518.28 381.09 2.52
13 E 0.36 0.61 433.50 207399 152500 478.43 351.79 2.85
14 C 0.87 1.00 360.38 207399 114375 575.51 317.38 2.85
14 D 1.00 1.00 433.50 207399 71700 478.43 165.40 6.05
15 A 0.33 0.67 308.17 207399 152500 673.01 494.86 1.63
15 C 0.00 0.13 360.38 207399 114375 575.51 317.38 2.85
16 C 0.81 1.00 360.38 207399 114375 575.51 317.38 2.85
17 A 0.75 1.00 308.17 207399 128675 673.01 417.55 1.93
18 A 0.00 0.50 308.17 207399 152500 673.01 494.86 1.63
18 A 0.50 1.00 360.38 207399 152500 575.51 423.17 2.14
18 C 0.81 1.00 413.89 207399 114375 501.10 276.34 3.54
18 D 0.00 0.00 433.50 207399 71700 478.43 165.40 6.05
18 D 0.97 0.97 433.50 207399 71700 478.43 165.40 6.05
19 A 0.67 1.00 308.17 207399 147738 673.01 479.41 1.68
19 F‐AUX 0.36 0.61 433.50 207399 152500 478.43 351.79 2.85
20 A 0.33 0.67 413.89 207399 152500 501.10 368.45 2.66
20 D 0.97 0.97 433.50 207399 71700 478.43 165.40 6.05
21 A 0.87 1.00 360.38 207399 114375 575.51 317.38 2.85
21 D 0.40 0.60 433.50 207399 152500 478.43 351.79 2.85
22 C 1.00 1.00 433.50 207399 71700 478.43 165.40 6.05
23 A 0.33 0.67 308.17 207399 152500 673.01 494.86 1.63
23 D 0.00 0.00 433.50 207399 71700 478.43 165.40 6.05
23 D 0.00 1.00 433.50 207399 152500 478.43 351.79 2.85
24 A 0.00 0.50 413.89 207399 152500 501.10 368.45 2.66
25 A 0.33 0.67 308.17 207399 152500 673.01 494.86 1.63
25 A 0.87 1.00 400.17 207399 114375 518.28 285.82 3.36
25 D 0.36 0.61 426.35 207399 152500 486.45 357.68 2.78
26 A 0.33 0.67 360.38 207399 152500 575.51 423.17 2.14
Timber Stringer Load Rating
C-37
Load Rating Calculations Wilburton TrestleRating Factors 3/10/16AASHTO H10 King County Department of Natural Resources and Parks
26 D 0.36 0.61 426.35 207399 152500 486.45 357.68 2.78
26 D 0.36 0.61 433.50 207399 152500 478.43 351.79 2.85
27 A 0.40 0.80 360.38 207399 152500 575.51 423.17 2.14
27 C 0.87 1.00 360.38 207399 114375 575.51 317.38 2.85
28 A 0.20 0.80 360.38 207399 152500 575.51 423.17 2.14
28 B 0.00 1.00 400.17 207399 152500 518.28 381.09 2.52
29 A 0.00 0.19 360.38 207399 114375 575.51 317.38 2.85
29 A 0.70 1.00 337.50 207399 128675 614.52 381.26 2.27
29 D 0.85 0.97 413.89 207399 114375 501.10 276.34 3.54
30 A 0.00 0.13 360.38 207399 114375 575.51 317.38 2.85
30 A 0.30 0.80 413.89 207399 152500 501.10 368.45 2.66
31 A 0.87 1.00 360.38 207399 114375 575.51 317.38 2.85
32 A 0.00 1.00 400.17 207399 152500 518.28 381.09 2.52
32 B 0.00 1.00 400.17 207399 152500 518.28 381.09 2.52
32 F‐AUX 0.00 0.19 400.17 207399 114375 518.28 285.82 3.36
34 C 0.87 1.00 400.17 207399 114375 518.28 285.82 3.36
35 A 0.10 0.60 413.89 207399 152500 501.10 368.45 2.66
35 C 0.00 0.13 400.17 207399 114375 518.28 285.82 3.36
37 C 0.40 0.60 433.50 207399 152500 478.43 351.79 2.85
38 A 0.50 1.00 325.80 207399 152500 636.58 468.07 1.80
38 C 0.00 1.00 433.50 207399 152500 478.43 351.79 2.85
39 A‐AUX 0.33 0.67 426.35 207399 152500 486.45 357.68 2.78
39 F 0.00 1.00 433.50 207399 152500 478.43 351.79 2.85
41 D 0.00 0.00 433.50 207399 71700 478.43 165.40 6.05
41 A 0.50 0.50 433.50 207399 152500 478.43 351.79 2.85
42 C 0.00 1.00 433.50 207399 152500 478.43 351.79 2.85
43 A 0.75 1.00 426.35 207399 128675 486.45 301.80 3.29
44 A 0.50 1.00 325.80 207399 152500 636.58 468.07 1.80
44 F 0.82 0.97 413.89 207399 114375 501.10 276.34 3.54
45 A 0.00 0.25 413.89 207399 128675 501.10 310.89 3.15
51 D 0.01 0.02 433.50 207399 71700 478.43 165.40 6.05
52 D 0.01 0.02 433.50 207399 71700 478.43 165.40 6.05
53 F 0.66 0.97 400.17 207399 147738 518.28 369.19 2.60
54 A 0.25 0.50 413.89 207399 152500 501.10 368.45 2.66
55 A‐AUX 0.00 1.00 433.50 207399 152500 478.43 351.79 2.85
55 C 0.00 0.13 426.35 207399 114375 486.45 268.26 3.70
55 C 0.00 1.00 433.50 207399 152500 478.43 351.79 2.85
55 C 0.87 1.00 426.35 207399 114375 486.45 268.26 3.70
56 A 0.37 0.63 413.89 207399 152500 501.10 368.45 2.66
57 A 0.00 1.00 394.35 207399 152500 525.92 386.71 2.47
58 A‐AUX 0.00 1.00 433.50 207399 152500 478.43 351.79 2.85
58 C 0.00 1.00 433.50 207399 152500 478.43 351.79 2.85
59 A 0.00 0.19 360.38 207399 114375 575.51 317.38 2.85
59 A 0.25 1.00 360.38 207399 152500 575.51 423.17 2.14
60 C 0.00 1.00 433.50 207399 152500 478.43 351.79 2.85
61 A 0.44 0.57 394.35 207399 152500 525.92 386.71 2.47
61 D 0.50 0.50 433.50 207399 152500 478.43 351.79 2.85
61 D 0.85 0.97 426.35 207399 114375 486.45 268.26 3.70
62 A 0.00 0.19 413.89 207399 114375 501.10 276.34 3.54
62 D 0.97 0.97 433.50 207399 71700 478.43 165.40 6.05
63 F 0.50 0.50 433.50 207399 152500 478.43 351.79 2.85
NEW STRINGER ‐ 0.00 1.00 433.50 207399 152500 478.43 351.79 2.85
SEV. CTR. ROT 0 0.00 1.00 325.80 207399 152500 636.58 468.07 1.80
SEV. TOP ROT 0 0.00 1.00 308.17 207399 152500 673.01 494.86 1.63
ADV. CTR. ROT ‐ 0.00 1.00 394.35 207399 152500 525.92 386.71 2.47
ADV. TOP ROT ‐ 0.00 1.00 337.50 207399 152500 614.52 451.85 1.91
MOD. CTR. ROT ‐ 0.00 1.00 413.89 207399 152500 501.10 368.45 2.66
MOD. TOP ROT ‐ 0.00 1.00 360.38 207399 152500 575.51 423.17 2.14
MIN RATING FACTOR 1.63
NO. STRINGERS WITH FACTOR < 1.0 0
Timber Stringer Load Rating
C-38
Load Rating Calculations Wilburton TrestleRating Factors 3/10/16AASHTO H10 King County Department of Natural Resources and Parks
Shear Inventory
Span StringerTenth Point
Begin
Tenth Point
EndA VDL (lb) VLL (lb) fDL fLL RF RF < 1.0?
1 A 0.00 0.47 133 8144 4375 61.23 32.89 1.11
1 D 0.28 0.53 133 5538 3750 41.64 28.20 1.99
2 B 0.00 0.13 144 8144 4375 56.55 30.38 1.36
3 A 0.33 0.67 126 4235 3438 33.61 27.28 2.35
3 C 0.87 1.00 144 8144 4375 56.55 30.38 1.36
3 D 0.00 0.00 144 8144 0 56.55 0.00 1.00
3 F 0.00 0.00 153 8144 0 53.23 0.00 1.00
4 A 0.06 0.94 126 8144 4375 64.63 34.72 0.95 1
4 F‐AUX 0.25 0.53 133 5538 3750 41.64 28.20 1.99
5 A 0.06 0.94 88 8144 4375 92.54 49.72 0.10 1
5 B 0.87 1.00 144 8144 4375 56.55 30.38 1.36
5 C 0.00 0.00 144 8144 0 56.55 0.00 1.00
5 D 0.85 1.00 133 8144 4375 61.23 32.89 1.11
5 F 1.00 1.00 153 8144 0 53.23 0.00 1.00
6 A 0.25 0.75 120 5538 3750 46.15 31.25 1.65
6 F 0.36 0.61 144 4235 3438 29.41 23.87 2.86
7 A 0.33 0.66 117 4235 3438 36.19 29.38 2.10
7 D 1.00 1.00 153 8144 0 53.23 0.00 1.00
7 F‐AUX 1.00 1.00 153 8144 0 53.23 0.00 1.00
8 A 0.33 0.66 88 4235 3438 48.12 39.06 1.27
8 B 0.87 1.00 144 8144 4375 56.55 30.38 1.36
8 F 0.36 0.61 144 4235 3438 29.41 23.87 2.86
9 D 0.72 1.00 133 8144 4375 61.23 32.89 1.11
10 A 0.00 1.00 117 8144 4375 69.60 37.39 0.75 1
10 F 0.40 0.60 153 2932 3105 19.16 20.29 3.87
11 A 0.33 0.67 120 4235 3438 35.29 28.65 2.18
11 D 0.00 1.00 153 8144 4375 53.23 28.59 1.56
11 F‐AUX 0.36 0.61 144 4235 3438 29.41 23.87 2.86
13 E 0.36 0.61 153 4235 3438 27.68 22.47 3.12
14 C 0.87 1.00 132.75 8144 4375 61.35 32.96 1.10
14 D 1.00 1.00 153 8144 0 53.23 0.00 1.00
15 A 0.33 0.67 117 4235 3438 36.19 29.38 2.10
15 C 0.00 0.13 132.75 8144 4375 61.35 32.96 1.10
16 C 0.81 1.00 132.75 8144 4375 61.35 32.96 1.10
17 A 0.75 1.00 117 8144 4375 69.60 37.39 0.75 1
18 A 0.00 0.50 117 8144 4375 69.60 37.39 0.75 1
18 A 0.50 1.00 132.75 8144 4375 61.35 32.96 1.10
18 C 0.81 1.00 133 8144 4375 61.23 32.89 1.11
18 D 0.00 0.00 153 8144 0 53.23 0.00 1.00
18 D 0.97 0.97 153 8144 4375 53.23 28.59 1.56
19 A 0.67 1.00 117 8144 4375 69.60 37.39 0.75 1
19 F‐AUX 0.36 0.61 153 4235 3438 27.68 22.47 3.12
20 A 0.33 0.67 133 4235 3438 31.84 25.85 2.55
20 D 0.97 0.97 153 8144 4375 53.23 28.59 1.56
21 A 0.87 1.00 132.75 8144 4375 61.35 32.96 1.10
21 D 0.40 0.60 153 2932 3105 19.16 20.29 3.87
22 C 1.00 1.00 153 8144 0 53.23 0.00 1.00
23 A 0.33 0.67 117 4235 3438 36.19 29.38 2.10
23 D 0.00 0.00 153 8144 0 53.23 0.00 1.00
23 D 0.00 1.00 153 8144 4375 53.23 28.59 1.56
24 A 0.00 0.50 133 8144 4375 61.23 32.89 1.11
25 A 0.33 0.67 117 4235 3438 36.19 29.38 2.10
25 A 0.87 1.00 144 8144 4375 56.55 30.38 1.36
25 D 0.36 0.61 144 4235 3438 29.41 23.87 2.86
26 A 0.33 0.67 132.75 4235 3438 31.90 25.89 2.54
26 D 0.36 0.61 144 4235 3438 29.41 23.87 2.86
Timber Stringer Load Rating
C-39
Load Rating Calculations Wilburton TrestleRating Factors 3/10/16AASHTO H10 King County Department of Natural Resources and Parks
26 D 0.36 0.61 153 4235 3438 27.68 22.47 3.12
27 A 0.40 0.80 132.75 5538 3750 41.72 28.25 1.98
27 C 0.87 1.00 132.75 8144 4375 61.35 32.96 1.10
28 A 0.20 0.80 132.75 5538 3750 41.72 28.25 1.98
28 B 0.00 1.00 144 8144 4375 56.55 30.38 1.36
29 A 0.00 0.19 132.75 8144 4375 61.35 32.96 1.10
29 A 0.70 1.00 126 8144 4375 64.63 34.72 0.95 1
29 D 0.85 0.97 133 8144 4375 61.23 32.89 1.11
30 A 0.00 0.13 132.75 8144 4375 61.35 32.96 1.10
30 A 0.30 0.80 133 5538 3750 41.64 28.20 1.99
31 A 0.87 1.00 132.75 8144 4375 61.35 32.96 1.10
32 A 0.00 1.00 144 8144 4375 56.55 30.38 1.36
32 B 0.00 1.00 144 8144 4375 56.55 30.38 1.36
32 F‐AUX 0.00 0.19 144 8144 4375 56.55 30.38 1.36
34 C 0.87 1.00 144 8144 4375 56.55 30.38 1.36
35 A 0.10 0.60 133 6841 4375 51.43 32.89 1.41
35 C 0.00 0.13 144 8144 4375 56.55 30.38 1.36
37 C 0.40 0.60 153 2932 3105 19.16 20.29 3.87
38 A 0.50 1.00 88 8144 4375 92.54 49.72 0.10 1
38 C 0.00 1.00 153 8144 4375 53.23 28.59 1.56
39 A‐AUX 0.33 0.67 144 4235 3438 29.41 23.87 2.86
39 F 0.00 1.00 153 8144 4375 53.23 28.59 1.56
41 D 0.00 0.00 153 8144 4375 53.23 28.59 1.56
41 A 0.50 0.50 153 1629 3084 10.65 20.16 4.32
42 C 0.00 1.00 153 8144 4375 53.23 28.59 1.56
43 A 0.75 1.00 144 8144 4375 56.55 30.38 1.36
44 A 0.50 1.00 88 8144 4375 92.54 49.72 0.10 1
44 F 0.82 0.97 133 8144 4375 61.23 32.89 1.11
45 A 0.00 0.25 133 8144 4375 61.23 32.89 1.11
51 D 0.01 0.02 153 8144 4375 53.23 28.59 1.56
52 D 0.01 0.02 153 8144 4375 53.23 28.59 1.56
53 F 0.66 0.97 144 8144 4375 56.55 30.38 1.36
54 A 0.25 0.50 133 5538 3750 41.64 28.20 1.99
55 A‐AUX 0.00 1.00 153 8144 4375 53.23 28.59 1.56
55 C 0.00 0.13 144 8144 4375 56.55 30.38 1.36
55 C 0.00 1.00 153 8144 4375 53.23 28.59 1.56
55 C 0.87 1.00 144 8144 4375 56.55 30.38 1.36
56 A 0.37 0.63 133 4235 3438 31.84 25.85 2.55
57 A 0.00 1.00 120 8144 4375 67.86 36.46 0.82 1
58 A‐AUX 0.00 1.00 153 8144 4375 53.23 28.59 1.56
58 C 0.00 1.00 153 8144 4375 53.23 28.59 1.56
59 A 0.00 0.19 132.75 8144 4375 61.35 32.96 1.10
59 A 0.25 1.00 132.75 8144 4375 61.35 32.96 1.10
60 C 0.00 1.00 153 8144 4375 53.23 28.59 1.56
61 A 0.44 0.57 120 2932 3105 24.43 25.87 2.83
61 D 0.50 0.50 153 1629 3084 10.65 20.16 4.32
61 D 0.85 0.97 144 8144 4375 56.55 30.38 1.36
62 A 0.00 0.19 133 8144 4375 61.23 32.89 1.11
62 D 0.97 0.97 153 8144 4375 53.23 28.59 1.56
63 F 0.50 0.50 153 1629 3084 10.65 20.16 4.32
NEW STRINGER ‐ 0.00 1.00 153 8144 4375 53.23 28.59 1.56
SEV. CTR. ROT 0 0.00 1.00 88 8144 4375 92.54 49.72 0.10
SEV. TOP ROT 0 0.00 1.00 117 8144 4375 69.60 37.39 0.75
ADV. CTR. ROT ‐ 0.00 1.00 120 8144 4375 67.86 36.46 0.82
ADV. TOP ROT ‐ 0.00 1.00 126 8144 4375 64.63 34.72 0.95
MOD. CTR. ROT ‐ 0.00 1.00 133 8144 4375 61.23 32.89 1.11
MOD. TOP ROT ‐ 0.00 1.00 132.75 8144 4375 61.35 32.96 1.10
MIN RATING FACTOR 0.10
NO. STRINGERS WITH FACTOR < 1.0 10
Timber Stringer Load Rating
C-40
Load Rating Calculations Wilburton TrestleRating Factors 3/10/1690 PSF King County Department of Natural Resources and Parks
Shears and Moments:
LL Forces for Load Rating Calcs Location Shear Moment
0.0 9610 358700.1 7360 184800.2 5400 274700.3 5400 274700.4 3750 343400.5 4100 366300.6 4100 343400.7 5670 274700.8 7540 274700.9 7540 184801.0 9650 35870
Recall Dead Load ForcesLocation Shear Moment
0 27146 864160.1 22803 442530.2 18459 553060.3 14116 725900.4 9773 829600.5 5429 864160.6 9773 829600.7 14116 725900.8 18459 553060.9 22803 442531 27146 86416
‐50000
‐40000
‐30000
‐20000
‐10000
0
10000
20000
30000
40000
50000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Worst Case Shear and Moment
Series3
Series4
0
20000
40000
60000
80000
100000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Recall Dead Load Forces For Load Rating Calcs Series3
Series4
Timber Stringer Load Rating
C-41
Load Rating Calculations Wilburton TrestleRating Factors 3/10/1690 PSF King County Department of Natural Resources and Parks
Rating Factors:
Flexure Inventory
Span StringerTenth Point
Begin
Tenth Point
EndS MDL (lb*in)* MLL (lb*in)* fDL fLL RF RF < 1.0?
1 A 0.00 0.47 413.89 207399 91575 501.10 221.25 4.42
1 D 0.28 0.53 413.89 207399 91575 501.10 221.25 4.42
2 B 0.00 0.13 400.17 207399 89675 518.28 224.09 4.29
3 A 0.33 0.67 337.50 207399 91575 614.52 271.33 3.19
3 C 0.87 1.00 400.17 207399 89675 518.28 224.09 4.29
3 D 0.00 0.00 426.35 207399 89675 486.45 210.33 4.72
3 F 0.00 0.00 433.50 207399 89675 478.43 206.86 4.84
4 A 0.06 0.94 337.50 207399 91575 614.52 271.33 3.19
4 F‐AUX 0.25 0.53 413.89 207399 91575 501.10 221.25 4.42
5 A 0.06 0.94 325.80 207399 91575 636.58 281.07 3.00
5 B 0.87 1.00 400.17 207399 89675 518.28 224.09 4.29
5 C 0.00 0.00 426.35 207399 89675 486.45 210.33 4.72
5 D 0.85 1.00 413.89 207399 89675 501.10 216.66 4.52
5 F 1.00 1.00 433.50 207399 89675 478.43 206.86 4.84
6 A 0.25 0.75 394.35 207399 91575 525.92 232.22 4.11
6 F 0.36 0.61 426.35 207399 91575 486.45 214.79 4.62
7 A 0.33 0.66 308.17 207399 91575 673.01 297.16 2.71
7 D 1.00 1.00 433.50 207399 89675 478.43 206.86 4.84
7 F‐AUX 1.00 1.00 433.50 207399 89675 478.43 206.86 4.84
8 A 0.33 0.66 325.80 207399 91575 636.58 281.07 3.00
8 B 0.87 1.00 400.17 207399 89675 518.28 224.09 4.29
8 F 0.36 0.61 400.17 207399 91575 518.28 228.84 4.20
9 D 0.72 1.00 413.89 207399 89675 501.10 216.66 4.52
10 A 0.00 1.00 308.17 207399 91575 673.01 297.16 2.71
10 F 0.40 0.60 433.50 207399 91575 478.43 211.25 4.74
11 A 0.33 0.67 394.35 207399 91575 525.92 232.22 4.11
11 D 0.00 1.00 433.50 207399 91575 478.43 211.25 4.74
11 F‐AUX 0.36 0.61 400.17 207399 91575 518.28 228.84 4.20
13 E 0.36 0.61 433.50 207399 91575 478.43 211.25 4.74
14 C 0.87 1.00 360.38 207399 89675 575.51 248.84 3.63
14 D 1.00 1.00 433.50 207399 89675 478.43 206.86 4.84
15 A 0.33 0.67 308.17 207399 91575 673.01 297.16 2.71
15 C 0.00 0.13 360.38 207399 89675 575.51 248.84 3.63
16 C 0.81 1.00 360.38 207399 89675 575.51 248.84 3.63
17 A 0.75 1.00 308.17 207399 89675 673.01 291.00 2.77
18 A 0.00 0.50 308.17 207399 91575 673.01 297.16 2.71
18 A 0.50 1.00 360.38 207399 91575 575.51 254.11 3.56
18 C 0.81 1.00 413.89 207399 89675 501.10 216.66 4.52
18 D 0.00 0.00 433.50 207399 89675 478.43 206.86 4.84
18 D 0.97 0.97 433.50 207399 89675 478.43 206.86 4.84
19 A 0.67 1.00 308.17 207399 89675 673.01 291.00 2.77
19 F‐AUX 0.36 0.61 433.50 207399 91575 478.43 211.25 4.74
20 A 0.33 0.67 413.89 207399 91575 501.10 221.25 4.42
20 D 0.97 0.97 433.50 207399 89675 478.43 206.86 4.84
21 A 0.87 1.00 360.38 207399 89675 575.51 248.84 3.63
21 D 0.40 0.60 433.50 207399 91575 478.43 211.25 4.74
22 C 1.00 1.00 433.50 207399 89675 478.43 206.86 4.84
23 A 0.33 0.67 308.17 207399 91575 673.01 297.16 2.71
23 D 0.00 0.00 433.50 207399 89675 478.43 206.86 4.84
23 D 0.00 1.00 433.50 207399 91575 478.43 211.25 4.74
24 A 0.00 0.50 413.89 207399 91575 501.10 221.25 4.42
25 A 0.33 0.67 308.17 207399 91575 673.01 297.16 2.71
25 A 0.87 1.00 400.17 207399 89675 518.28 224.09 4.29
25 D 0.36 0.61 426.35 207399 91575 486.45 214.79 4.62
26 A 0.33 0.67 360.38 207399 91575 575.51 254.11 3.56
Timber Stringer Load Rating
C-42
Load Rating Calculations Wilburton TrestleRating Factors 3/10/1690 PSF King County Department of Natural Resources and Parks
26 D 0.36 0.61 426.35 207399 91575 486.45 214.79 4.62
26 D 0.36 0.61 433.50 207399 91575 478.43 211.25 4.74
27 A 0.40 0.80 360.38 207399 91575 575.51 254.11 3.56
27 C 0.87 1.00 360.38 207399 89675 575.51 248.84 3.63
28 A 0.20 0.80 360.38 207399 91575 575.51 254.11 3.56
28 B 0.00 1.00 400.17 207399 91575 518.28 228.84 4.20
29 A 0.00 0.19 360.38 207399 89675 575.51 248.84 3.63
29 A 0.70 1.00 337.50 207399 89675 614.52 265.70 3.26
29 D 0.85 0.97 413.89 207399 89675 501.10 216.66 4.52
30 A 0.00 0.13 360.38 207399 89675 575.51 248.84 3.63
30 A 0.30 0.80 413.89 207399 91575 501.10 221.25 4.42
31 A 0.87 1.00 360.38 207399 89675 575.51 248.84 3.63
32 A 0.00 1.00 400.17 207399 91575 518.28 228.84 4.20
32 B 0.00 1.00 400.17 207399 91575 518.28 228.84 4.20
32 F‐AUX 0.00 0.19 400.17 207399 89675 518.28 224.09 4.29
34 C 0.87 1.00 400.17 207399 89675 518.28 224.09 4.29
35 A 0.10 0.60 413.89 207399 91575 501.10 221.25 4.42
35 C 0.00 0.13 400.17 207399 89675 518.28 224.09 4.29
37 C 0.40 0.60 433.50 207399 91575 478.43 211.25 4.74
38 A 0.50 1.00 325.80 207399 91575 636.58 281.07 3.00
38 C 0.00 1.00 433.50 207399 91575 478.43 211.25 4.74
39 A‐AUX 0.33 0.67 426.35 207399 91575 486.45 214.79 4.62
39 F 0.00 1.00 433.50 207399 91575 478.43 211.25 4.74
41 D 0.00 0.00 433.50 207399 89675 478.43 206.86 4.84
41 A 0.50 0.50 433.50 207399 91575 478.43 211.25 4.74
42 C 0.00 1.00 433.50 207399 91575 478.43 211.25 4.74
43 A 0.75 1.00 426.35 207399 89675 486.45 210.33 4.72
44 A 0.50 1.00 325.80 207399 91575 636.58 281.07 3.00
44 F 0.82 0.97 413.89 207399 89675 501.10 216.66 4.52
45 A 0.00 0.25 413.89 207399 89675 501.10 216.66 4.52
51 D 0.01 0.02 433.50 207399 89675 478.43 206.86 4.84
52 D 0.01 0.02 433.50 207399 89675 478.43 206.86 4.84
53 F 0.66 0.97 400.17 207399 89675 518.28 224.09 4.29
54 A 0.25 0.50 413.89 207399 91575 501.10 221.25 4.42
55 A‐AUX 0.00 1.00 433.50 207399 91575 478.43 211.25 4.74
55 C 0.00 0.13 426.35 207399 89675 486.45 210.33 4.72
55 C 0.00 1.00 433.50 207399 91575 478.43 211.25 4.74
55 C 0.87 1.00 426.35 207399 89675 486.45 210.33 4.72
56 A 0.37 0.63 413.89 207399 91575 501.10 221.25 4.42
57 A 0.00 1.00 394.35 207399 91575 525.92 232.22 4.11
58 A‐AUX 0.00 1.00 433.50 207399 91575 478.43 211.25 4.74
58 C 0.00 1.00 433.50 207399 91575 478.43 211.25 4.74
59 A 0.00 0.19 360.38 207399 89675 575.51 248.84 3.63
59 A 0.25 1.00 360.38 207399 91575 575.51 254.11 3.56
60 C 0.00 1.00 433.50 207399 91575 478.43 211.25 4.74
61 A 0.44 0.57 394.35 207399 91575 525.92 232.22 4.11
61 D 0.50 0.50 433.50 207399 91575 478.43 211.25 4.74
61 D 0.85 0.97 426.35 207399 89675 486.45 210.33 4.72
62 A 0.00 0.19 413.89 207399 89675 501.10 216.66 4.52
62 D 0.97 0.97 433.50 207399 89675 478.43 206.86 4.84
63 F 0.50 0.50 433.50 207399 91575 478.43 211.25 4.74
NEW STRINGER ‐ 0.00 1.00 433.50 207399 91575 478.43 211.25 4.74
SEV. CTR. ROT 0 0.00 1.00 325.80 207399 91575 636.58 281.07 3.00
SEV. TOP ROT 0 0.00 1.00 308.17 207399 91575 673.01 297.16 2.71
ADV. CTR. ROT ‐ 0.00 1.00 394.35 207399 91575 525.92 232.22 4.11
ADV. TOP ROT ‐ 0.00 1.00 337.50 207399 91575 614.52 271.33 3.19
MOD. CTR. ROT ‐ 0.00 1.00 413.89 207399 91575 501.10 221.25 4.42
MOD. TOP ROT ‐ 0.00 1.00 360.38 207399 91575 575.51 254.11 3.56
MIN RATING FACTOR 2.71
NO. STRINGERS WITH FACTOR < 1.0 0
Timber Stringer Load Rating
C-43
Load Rating Calculations Wilburton TrestleRating Factors 3/10/1690 PSF King County Department of Natural Resources and Parks
Shear Inventory
Span StringerTenth Point
Begin
Tenth Point
EndA VDL (lb) VLL (lb) fDL fLL RF RF < 1.0?
1 A 0.00 0.47 133 8144 2300 61.23 17.29 2.11
1 D 0.28 0.53 133 5538 1688 41.64 12.69 4.42
2 B 0.00 0.13 144 8144 2300 56.55 15.97 2.58
3 A 0.33 0.67 126 4235 1772 33.61 14.06 4.56
3 C 0.87 1.00 144 8144 2356 56.55 16.36 2.52
3 D 0.00 0.00 144 8144 0 56.55 0.00 1.00
3 F 0.00 0.00 153 8144 0 53.23 0.00 1.00
4 A 0.06 0.94 126 8144 2356 64.63 18.70 1.77
4 F‐AUX 0.25 0.53 133 5538 1688 41.64 12.69 4.42
5 A 0.06 0.94 88 8144 2356 92.54 26.78 0.19 1
5 B 0.87 1.00 144 8144 2356 56.55 16.36 2.52
5 C 0.00 0.00 144 8144 0 56.55 0.00 1.00
5 D 0.85 1.00 133 8144 2356 61.23 17.72 2.06
5 F 1.00 1.00 153 8144 0 53.23 0.00 1.00
6 A 0.25 0.75 120 5538 2356 46.15 19.64 2.63
6 F 0.36 0.61 144 4235 1772 29.41 12.30 5.55
7 A 0.33 0.66 117 4235 1772 36.19 15.14 4.06
7 D 1.00 1.00 153 8144 0 53.23 0.00 1.00
7 F‐AUX 1.00 1.00 153 8144 0 53.23 0.00 1.00
8 A 0.33 0.66 88 4235 1772 48.12 20.13 2.46
8 B 0.87 1.00 144 8144 2356 56.55 16.36 2.52
8 F 0.36 0.61 144 4235 1772 29.41 12.30 5.55
9 D 0.72 1.00 133 8144 2356 61.23 17.72 2.06
10 A 0.00 1.00 117 8144 2356 69.60 20.14 1.40
10 F 0.40 0.60 153 2932 1281 19.16 8.37 9.38
11 A 0.33 0.67 120 4235 1772 35.29 14.77 4.23
11 D 0.00 1.00 153 8144 2356 53.23 15.40 2.89
11 F‐AUX 0.36 0.61 144 4235 1772 29.41 12.30 5.55
13 E 0.36 0.61 153 4235 1772 27.68 11.58 6.05
14 C 0.87 1.00 132.75 8144 2356 61.35 17.75 2.05
14 D 1.00 1.00 153 8144 0 53.23 0.00 1.00
15 A 0.33 0.67 117 4235 1772 36.19 15.14 4.06
15 C 0.00 0.13 132.75 8144 2300 61.35 17.33 2.10
16 C 0.81 1.00 132.75 8144 2356 61.35 17.75 2.05
17 A 0.75 1.00 117 8144 2356 69.60 20.14 1.40
18 A 0.00 0.50 117 8144 2300 69.60 19.66 1.43
18 A 0.50 1.00 132.75 8144 2356 61.35 17.75 2.05
18 C 0.81 1.00 133 8144 2356 61.23 17.72 2.06
18 D 0.00 0.00 153 8144 0 53.23 0.00 1.00
18 D 0.97 0.97 153 8144 2356 53.23 15.40 2.89
19 A 0.67 1.00 117 8144 2356 69.60 20.14 1.40
19 F‐AUX 0.36 0.61 153 4235 1772 27.68 11.58 6.05
20 A 0.33 0.67 133 4235 1772 31.84 13.32 4.95
20 D 0.97 0.97 153 8144 2356 53.23 15.40 2.89
21 A 0.87 1.00 132.75 8144 2356 61.35 17.75 2.05
21 D 0.40 0.60 153 2932 1281 19.16 8.37 9.38
22 C 1.00 1.00 153 8144 0 53.23 0.00 1.00
23 A 0.33 0.67 117 4235 1772 36.19 15.14 4.06
23 D 0.00 0.00 153 8144 0 53.23 0.00 1.00
23 D 0.00 1.00 153 8144 2356 53.23 15.40 2.89
24 A 0.00 0.50 133 8144 2300 61.23 17.29 2.11
25 A 0.33 0.67 117 4235 1772 36.19 15.14 4.06
25 A 0.87 1.00 144 8144 2356 56.55 16.36 2.52
25 D 0.36 0.61 144 4235 1772 29.41 12.30 5.55
26 A 0.33 0.67 132.75 4235 1772 31.90 13.35 4.93
26 D 0.36 0.61 144 4235 1772 29.41 12.30 5.55
26 D 0.36 0.61 153 4235 1772 27.68 11.58 6.05
27 A 0.40 0.80 132.75 5538 2356 41.72 17.75 3.16
27 C 0.87 1.00 132.75 8144 2356 61.35 17.75 2.05
28 A 0.20 0.80 132.75 5538 2356 41.72 17.75 3.16
Timber Stringer Load Rating
C-44
Load Rating Calculations Wilburton TrestleRating Factors 3/10/1690 PSF King County Department of Natural Resources and Parks
28 B 0.00 1.00 144 8144 2356 56.55 16.36 2.52
29 A 0.00 0.19 132.75 8144 2300 61.35 17.33 2.10
29 A 0.70 1.00 126 8144 2356 64.63 18.70 1.77
29 D 0.85 0.97 133 8144 2356 61.23 17.72 2.06
30 A 0.00 0.13 132.75 8144 2300 61.35 17.33 2.10
30 A 0.30 0.80 133 5538 2356 41.64 17.72 3.17
31 A 0.87 1.00 132.75 8144 2356 61.35 17.75 2.05
32 A 0.00 1.00 144 8144 2356 56.55 16.36 2.52
32 B 0.00 1.00 144 8144 2356 56.55 16.36 2.52
32 F‐AUX 0.00 0.19 144 8144 2300 56.55 15.97 2.58
34 C 0.87 1.00 144 8144 2356 56.55 16.36 2.52
35 A 0.10 0.60 133 6841 2300 51.43 17.29 2.68
35 C 0.00 0.13 144 8144 2300 56.55 15.97 2.58
37 C 0.40 0.60 153 2932 1281 19.16 8.37 9.38
38 A 0.50 1.00 88 8144 2356 92.54 26.78 0.19 1
38 C 0.00 1.00 153 8144 2356 53.23 15.40 2.89
39 A‐AUX 0.33 0.67 144 4235 1772 29.41 12.30 5.55
39 F 0.00 1.00 153 8144 2356 53.23 15.40 2.89
41 D 0.00 0.00 153 8144 2300 53.23 15.03 2.96
41 A 0.50 0.50 153 1629 1281 10.65 8.37 10.40
42 C 0.00 1.00 153 8144 2356 53.23 15.40 2.89
43 A 0.75 1.00 144 8144 2356 56.55 16.36 2.52
44 A 0.50 1.00 88 8144 2356 92.54 26.78 0.19 1
44 F 0.82 0.97 133 8144 2356 61.23 17.72 2.06
45 A 0.00 0.25 133 8144 2300 61.23 17.29 2.11
51 D 0.01 0.02 153 8144 2300 53.23 15.03 2.96
52 D 0.01 0.02 153 8144 2300 53.23 15.03 2.96
53 F 0.66 0.97 144 8144 2356 56.55 16.36 2.52
54 A 0.25 0.50 133 5538 1688 41.64 12.69 4.42
55 A‐AUX 0.00 1.00 153 8144 2356 53.23 15.40 2.89
55 C 0.00 0.13 144 8144 2300 56.55 15.97 2.58
55 C 0.00 1.00 153 8144 2356 53.23 15.40 2.89
55 C 0.87 1.00 144 8144 2356 56.55 16.36 2.52
56 A 0.37 0.63 133 4235 1772 31.84 13.32 4.95
57 A 0.00 1.00 120 8144 2356 67.86 19.64 1.52
58 A‐AUX 0.00 1.00 153 8144 2356 53.23 15.40 2.89
58 C 0.00 1.00 153 8144 2356 53.23 15.40 2.89
59 A 0.00 0.19 132.75 8144 2300 61.35 17.33 2.10
59 A 0.25 1.00 132.75 8144 2356 61.35 17.75 2.05
60 C 0.00 1.00 153 8144 2356 53.23 15.40 2.89
61 A 0.44 0.57 120 2932 1281 24.43 10.68 6.87
61 D 0.50 0.50 153 1629 1281 10.65 8.37 10.40
61 D 0.85 0.97 144 8144 2356 56.55 16.36 2.52
62 A 0.00 0.19 133 8144 2300 61.23 17.29 2.11
62 D 0.97 0.97 153 8144 2356 53.23 15.40 2.89
63 F 0.50 0.50 153 1629 1281 10.65 8.37 10.40
NEW STRINGER ‐ 0.00 1.00 153 8144 2356 53.23 15.40 2.89
SEV. CTR. ROT 0 0.00 1.00 88 8144 2356 92.54 26.78 0.19
SEV. TOP ROT 0 0.00 1.00 117 8144 2356 69.60 20.14 1.40
ADV. CTR. ROT ‐ 0.00 1.00 120 8144 2356 67.86 19.64 1.52
ADV. TOP ROT ‐ 0.00 1.00 126 8144 2356 64.63 18.70 1.77
MOD. CTR. ROT ‐ 0.00 1.00 133 8144 2356 61.23 17.72 2.06
MOD. TOP ROT ‐ 0.00 1.00 132.75 8144 2356 61.35 17.75 2.05
MIN RATING FACTOR 0.19
NO. STRINGERS WITH FACTOR < 1.0 3
Timber Stringer Load Rating
C-45
Bridge Load Rating ‐ Glu‐Laminated Timber Stringers
Bridge Name: Wilburton TrestleCo. Bridge No.: SA‐9Rating Date: 3/10/2016Year Built: Varies, most recent construction in 1944
Owner: King County Department of Natural Resources and ParksDescription:
Load Rating Method: Allowable Stress DesignReferences: AASHTO Manual for Bridge Evaluation (MBE), AASHTO Standard Specifications
for Highway Bridges, 17th Editions, WSDOT Bridge Design Manual Chapter 13
Load Rating Comments:
The trestle consists of 60 timber trestle spans and one steel girder span with a total length of
approximately 975 feet. The timber trestle spans are supported on driven timber pilings. The steel
girder span is supported on tall concrete piers. The trestle crosses over SE 9th Street, Richards Creek,
and SE 8th Street. The south end of the bridge has a slight horizontal curve through about Bent 9 with a
straight alignment beyond. The bridge deck is roughly 100 feet above ground at its maximum height.
The analysis assumes the beams are spread out equally beneath the deck versus the existing two groups of side‐by‐
side beams. The load rating is done for both King County maintenance vehicles as well as AASHTO design vehicles.
See beginning of load rating report for axle loads and spacing configurations. In addition, live loads per the AASHTO
Guide Specificiations for LRFD Pedestrian Bridge Design and Standard Specifications for Highway Bridge Bridges,
including the HS20 design truck, 90 psf pedestrian load and H10 design truck are included to check the bridge against
AASHTO design loads. The AASHTO design vehicles are done at the Inventory Level while the King County
maintenance trucks are done at the Operating Level. Key assumptions include: 1) Distributing all dead loads equally
to all stringers; 2) the live load distribution factors per the AASHTO Standard Specifications for Highway Bridges Table
3.23; and 3) using a load duration factor of 1.15 (associated with vehicle live loads) for bending and for shear. The
worst case shear and moment from a 2 span continuous and a simple span beam layout are used.
This load rating evaluates the use of glu‐laminated timber stringers as replacement for existing solid sawn timber stringers.
C-46
Load Rating Calculations Wilburton TrestleSummary 3/10/2016
King County Department of Natural Resources and Parks
Controlling Ratings
Below are several tables for the following conditions:
Deck Option 1 ‐ 14‐foot wide concrete deck
Deck Option 2 ‐ 14‐foot wide asphalt and timber deck
Deck Option 3 ‐ 12‐foot wide concrete deck
Deck Option 4 ‐ 12‐foot wide asphalt and timber deck
Deck Option 1Deck Width = 14 No Stringers = 6 Type = Concrete
Group # Vehicle Rating Level Severe Decay Advanced Decay Moderate Decay
Special 2 Operating 0.77 1.21 1.33
AASHTO HS20 Inventory 0.74 1.31 1.45
2 SU5 Operating 1.35 2.19 2.39
AASHTO H10 Inventory 1.57 2.62 2.90
90 PSF Inventory 2.91 4.37 4.83
Deck Option 2
Deck Width = 14 No Stringers = 6 Type = Asphalt
Group # Vehicle Rating Level Severe Decay Advanced Decay Moderate Decay
Special 2 Operating 0.81 1.24 1.35
AASHTO HS20 Inventory 0.79 1.35 1.49
2 SU5 Operating 1.41 2.24 2.44
AASHTO H10 Inventory 1.68 2.71 2.98
90 PSF Inventory 3.12 4.51 4.96
3
Minimum Rating Factors
1
1
3
Minimum Rating Factors
Timber Stringer Load Rating
C-47
Load Rating Calculations Wilburton TrestleSummary 3/10/2016
King County Department of Natural Resources and Parks
Controlling Ratings
Below are several tables for the following conditions:
Deck Option 1 ‐ 14‐foot wide concrete deck
Deck Option 2 ‐ 14‐foot wide asphalt and timber deck
Deck Option 3 ‐ 12‐foot wide concrete deck
Deck Option 4 ‐ 12‐foot wide asphalt and timber deckDeck Option 3Deck Width = 12 No Stringers = 5 Type = Concrete
Group # Vehicle Rating LevelSevere Decay Advanced Decay Moderate Decay
Special 2 Operating 0.74 1.16 1.27
AASHTO HS20 Inventory 0.70 1.25 1.38
2 SU5 Operating 1.29 2.09 2.28
AASHTO H10 Inventory 1.48 2.50 2.76
90 PSF Inventory 2.74 4.16 4.60
Deck Option 4Deck Width = 12 No Stringers = 5 Type = Asphalt
Group # Vehicle Rating Level Severe Decay Advanced Decay Moderate Decay
Special 2 Operating 0.77 1.18 1.29
AASHTO HS20 Inventory 0.75 1.29 1.42
2 SU5 Operating 1.34 2.14 2.33
AASHTO H10 Inventory 1.59 2.58 2.84
90 PSF Inventory 2.95 4.30 4.74
Minimum Rating Factors
1
3
1
3
Minimum Rating Factors
Timber Stringer Load Rating
C-48
Load Rating Calculations Wilburton TrestleDeck Stringer Material and Section Properties 3/10/2016
King County Department of Natural Resources and Parks
Bridge Data:
Material: Assume Douglas Fir No. 1 for members installed after 1955 when grade and species are unknown
(WSDOT Bridge Design Manual 13.2.14)
Stringer Height, H (in) 17
Stringer Width, B (in) 9
A (in2) 153
S (in3) 434
I (in4) 3685
Observed Levels of Deterioration and Corresponding Section Properties:
H2 B2 A (in2) S (in3) % Area Reductions% Sect. Mod.
Reductions
Minor Center Rot 4 9 1 144 426.4 5.9% 1.6%
Moderate Center Rot 3.5 10 2 133 413.9 13.1% 4.5%
Advanced Center Rot 3 11 3 120 394.4 21.6% 9.0%
Severe Center Rot 2 13 5 88 325.8 42.5% 24.8%
Observed Levels of Deterioration and Corresponding Section Properties:
A (in2) S (in3) % Area Reductions% Sect. Mod.
Reductions
Minor Top Rot 2 144.0 400.2 5.9% 7.7%
Moderate Top Rot 4.5 132.8 360.4 13.2% 16.9%
Advanced Top Rot 6 126.0 337.5 17.6% 22.1%
Severe Top Rot 8 117.0 308.2 23.5% 28.9%
Section Property Calculation for Rectangular Members (excerpt from WSDOT Inspection Manual 2002):
Span Length Stringer Inspection Observation Assigned DefectBegin Defect
Location*10th Pt. End Defect Location *10th Pt. A (in2) S (in3)
1 15.917 A Rot Pocket Moderate Center Rot 0.0 0.00 7.5 0.47 133.0 413.9
1 15.917 DMod. Rot mid ht. on side at 4.5
ft, minor soft top at 8.5ftModerate Center Rot 4.5 0.28 8.5 0.53 133.0 413.9
2 15.917 B Minor top rot 0'‐2' from Bent 2 Minor Top Rot 0.0 0.00 2.0 0.13 144.0 400.2
3 15.917 ARot in bottom 6" of stringer,
middle 2/3 of spanAdvanced Top Rot 5.3 0.33 10.6 0.67 126.0 337.5
3 15.917 CSuspected rot in lower portion of
memberMinor Top Rot 13.9 0.87 15.9 1.00 144.0 400.2
3 15.917 D Soft side at bent 3 Minor Center Rot 0.0 0.00 0.0 0.00 144.0 426.4
3 15.917 F Seat twist Bearing Area Reduction 0.0 0.00 0.0 0.00 153.0 433.5
4 15.917 A Moderate to severe top rot Advanced Top Rot 1.0 0.06 14.9 0.94 126.0 337.5
4 15.917 F‐AUXMod. Soft mid at 4', minor soft
mid. At 4.5 ft from B5Moderate Center Rot 4.0 0.25 8.5 0.53 133.0 413.9
5 15.917 A Severe rot Severe Center Rot 1.0 0.06 14.9 0.94 88.0 325.8
5 15.917 B Minor top rot at B6 Minor Top Rot 13.9 0.87 15.9 1.00 144.0 400.2
5 15.917 C Minor center rot at B5 Minor Center Rot 0.0 0.00 0.0 0.00 144.0 426.4
5 15.917 D Moderate rot 2' from bent 6 Moderate Center Rot 13.5 0.85 15.9 1.00 133.0 413.9
5 15.917 F Split at seat at Bent 6 None 15.9 1.00 15.9 1.00 153.0 433.5
6 15.917 A Moderate to severe rot midspan Advanced Center Rot 4.0 0.25 11.9 0.75 120.0 394.4
6 15.917 F Check and minor soft at midspan Minor Center Rot 5.8 0.36 9.8 0.61 144.0 426.4
7 15.917 ASevere top rot middle 2/3 of
spanSevere Top Rot 5.3 0.33 10.5 0.66 117.0 308.2
7 15.917 D Soft seat at B8 None 15.9 1.00 15.9 1.00 153.0 433.5
7 15.917 F‐AUX Soft seat at B8 None 15.9 1.00 15.9 1.00 153.0 433.5
8 15.917 A Severe rot, middle 2/3 of span Severe Center Rot 5.3 0.33 10.5 0.66 88.0 325.8
8 15.917 B Possible end rot area Minor Top Rot 13.9 0.87 15.9 1.00 144.0 400.2
8 15.917 F Bottom edge damage at midspan Minor Top Rot 5.8 0.36 9.8 0.61 144.0 400.2
9 15.917 DModerate hollow, soft at 2' from
B10Moderate Center Rot 11.5 0.72 15.9 1.00 133.0 413.9
10 15.917 A Severe rot, replace Severe Top Rot 0.0 0.00 15.9 1.00 117.0 308.2
10 15.917 F Small wet check None 6.4 0.40 9.6 0.60 153.0 433.5
Assigned Defect Based
on Observed Level of
Deterioration
Assigned Defect Based
on Observed Level of
Deterioration
Shell Thickness
Depth of Top Rot, H1
Center Rot
Top Rot
Timber Stringer Load Rating
C-49
Load Rating Calculations Wilburton TrestleDeck Stringer Material and Section Properties 3/10/2016
King County Department of Natural Resources and Parks
11 15.917 AModerate, slightly severe middle
rot, midspanAdvanced Center Rot 5.3 0.33 10.7 0.67 120.0 394.4
11 15.917 D Side check None 0.0 0.00 15.9 1.00 153.0 433.5
11 15.917 F‐AUX Wet/soft top and hole to middle Minor Top Rot 5.8 0.36 9.8 0.61 144.0 400.2
13 15.917 E Bad….. 5.8 0.36 9.8 0.61 153.0 433.5
14 15.917 C Hollow at B15 Moderate Top Rot 13.9 0.87 15.9 1.00 132.8 360.4
14 15.917 D Soft seat at B15 None 15.9 1.00 15.9 1.00 153.0 433.5
15 15.917 A Severe top rot midspan Severe Top Rot 5.3 0.33 10.7 0.67 117.0 308.2
15 15.917 C Hollow at B15 Moderate Top Rot 0.0 0.00 2.0 0.13 132.8 360.4
16 15.917 C Moderate rot at B17 Moderate Top Rot 12.9 0.81 15.9 1.00 132.8 360.4
17 15.917 A Severe top rot over B18 Severe Top Rot 11.9 0.75 15.9 1.00 117.0 308.2
18 15.917 A Severe rot to midspan Severe Top Rot 0.0 0.00 8.0 0.50 117.0 308.2
18 15.917 A Moderate rot to B19 Moderate Top Rot 8.0 0.50 15.9 1.00 132.8 360.4
18 15.917 C Hollow over B19 Moderate Center Rot 12.9 0.81 15.9 1.00 133.0 413.9
18 15.917 D End damage at bolt at B18 None 0.0 0.00 0.0 0.00 153.0 433.5
18 15.917 D End split/twist at B19 Bearing Area Reduction 15.5 0.97 15.5 0.97 153.0 433.5
19 15.917 ASevere rot top of stringer, last
1/3 of spanSevere Top Rot 10.6 0.67 15.9 1.00 117.0 308.2
19 15.917 F‐AUX Soft end None 5.8 0.36 9.8 0.61 153.0 433.5
20 15.917 A Moderate rot at midspan Moderate Center Rot 5.3 0.33 10.6 0.67 133.0 413.9
20 15.917 D Split, twisted end at B21 Bearing Area Reduction 15.5 0.97 15.5 0.97 153.0 433.5
21 15.917 A Minor/Moderate rot at B22 Moderate Top Rot 13.9 0.87 15.9 1.00 132.8 360.4
21 15.917 D Minor split at midspan None 6.4 0.40 9.6 0.60 153.0 433.5
22 15.917 CDeep check at B23, 3" brg. At
B23Bearing Area Reduction 15.9 1.00 15.9 1.00 153.0 433.5
23 15.917 ASevere top rot, middle 1/3 of
spanSevere Top Rot 5.3 0.33 10.6 0.67 117.0 308.2
23 15.917 D End twist at B23 Bearing Area Reduction 0.0 0.00 0.0 0.00 153.0 433.5
23 15.917 D Side split at B24 None 0.0 0.00 15.9 1.00 153.0 433.5
24 15.917 AMinor/moderate rot from B24
to midspanModerate Center Rot 0.0 0.00 8.0 0.50 133.0 413.9
25 15.917 ASevere top half rot, middle of
spanSevere Top Rot 5.3 0.33 10.6 0.67 117.0 308.2
25 15.917 A Minor rot at B26 Minor Top Rot 13.9 0.87 15.9 1.00 144.0 400.2
25 15.917 DWet, checked and soft at
midspanMinor Center Rot 5.8 0.36 9.8 0.61 144.0 426.4
26 15.917 A Moderate top rot middle of span Moderate Top Rot 5.3 0.33 10.6 0.67 132.8 360.4
26 15.917 D Minor soft at midspan Minor Center Rot 5.8 0.36 9.8 0.61 144.0 426.4
26 15.917 D Twist, split end at B27 Bearing Area Reduction 5.8 0.36 9.8 0.61 153.0 433.5
27 15.917 AModerate rot middle .4 ‐ .8 of
spanModerate Top Rot 6.4 0.40 12.7 0.80 132.8 360.4
27 15.917 C Top corner hollow at B27 Moderate Top rot 13.9 0.87 15.9 1.00 132.8 360.4
28 15.917 A Moderate top rot, .2 ‐ .8 of span Moderate Top Rot 3.2 0.20 12.7 0.80 132.8 360.4
28 15.917 B Minor rot suspected Minor Top Rot 0.0 0.00 15.9 1.00 144.0 400.2
29 15.917 A Moderate rot at B29 Moderate Top Rot 0.0 0.00 3.0 0.19 132.8 360.4
29 15.917 A Moderate/Severe at .7 ‐ 1.0L Advanced Top Rot 11.1 0.70 15.9 1.00 126.0 337.5
29 15.917 D Soft with rot at end at B30 Moderate Center Rot 13.5 0.85 15.5 0.97 133.0 413.9
30 15.917 A Moderate top rot at B30 Moderate Top Rot 0.0 0.00 2.0 0.13 132.8 360.4
30 15.917 A Moderate center rot .3 ‐ .8 Moderate Center Rot 4.8 0.30 12.7 0.80 133.0 413.9
31 15.917 A Moderate top rot at B32 Moderate Top Rot 13.9 0.87 15.9 1.00 132.8 360.4
32 15.917 ACorner peeling 1/2" x 1/2" full
lengthMinor Top Rot 0.0 0.00 15.9 1.00 144.0 400.2
32 15.917 BCorner peeling 1/2" x 1/2" full
lengthMinor Top Rot 0.0 0.00 15.9 1.00 144.0 400.2
32 15.917 F‐AUX4th stringer soft at south end
(B31)Minor Top Rot 0.0 0.00 3.0 0.19 144.0 400.2
34 15.917 C Hollow, minor rot at B35 Minor Top Rot 13.9 0.87 15.9 1.00 144.0 400.2
35 15.917 A Moderate rot .1 ‐ .6L Moderate Center Rot 1.6 0.10 9.6 0.60 133.0 413.9
35 15.917 C Hollow, minor rot at B35 Minor Top Rot 0.0 0.00 2.0 0.13 144.0 400.2
37 15.917 C Short check middepth None 6.4 0.40 9.6 0.60 153.0 433.5
38 15.917 AHeavy deterioration, large check,
replace, 8' from B39Severe Center Rot 7.9 0.50 15.9 1.00 88.0 325.8
Timber Stringer Load Rating
C-50
Load Rating Calculations Wilburton TrestleDeck Stringer Material and Section Properties 3/10/2016
King County Department of Natural Resources and Parks
38 15.917 C Full length, mid‐depth check None 0.0 0.00 15.9 1.00 153.0 433.5
39 15.917 A‐AUX Minor soft spot, midspan Minor Center Rot 5.3 0.33 10.6 0.67 144.0 426.4
39 15.917 F Large side split None 0.0 0.00 15.9 1.00 153.0 433.5
41 15.917 D Side split at bearing at B42 None 0.0 0.00 0.1 0.00 153.0 433.5
41 15.917 A knot at bottom, midspan None 8.0 0.50 8.0 0.50 153.0 433.5
42 15.917 C Mid‐depth check full length None 0.0 0.00 15.9 1.00 153.0 433.5
43 15.917 A3' long check at bottom, small
(1') hollow ~4' from endMinor Center Rot 11.9 0.75 15.9 1.00 144.0 426.4
44 15.917 AHeavy (1" shell) rot, ~8' long,
replaceSevere Center Rot 7.9 0.50 15.9 1.00 88.0 325.8
44 15.917 F Moderate soft 2.5' from B45 Moderate Center Rot 13.0 0.82 15.5 0.97 133.0 413.9
45 15.917 ASmall (1') hollow shell ~4' from
endModerate Center Rot 0.0 0.00 4.0 0.25 133.0 413.9
51 15.917 D Mid‐depth check 4' from B52 None 0.1 0.01 0.4 0.02 153.0 433.5
52 15.917 D Mid‐depth check 4' from B52 None 0.1 0.01 0.4 0.02 153.0 433.5
53 15.917 F Minor damage near B54 Minor Top Rot 10.5 0.66 15.5 0.97 144.0 400.2
54 15.917 A Small hollow at 4' and 8' Moderate Center Rot 4.0 0.25 8.0 0.50 133.0 413.9
55 15.917 A‐AUX Weathered but ok, split None 0.0 0.00 15.9 1.00 153.0 433.5
55 15.917 C Minor hollow end at B55 Minor Center Rot 0.0 0.00 2.0 0.13 144.0 426.4
55 15.917 C Mid‐depth check full length None 0.0 0.00 15.9 1.00 153.0 433.5
55 15.917 C Minor hollow end at B56 Minor Center Rot 13.9 0.87 15.9 1.00 144.0 426.4
56 15.917 A ~4' mod. Sounding shell Moderate Center Rot 6.0 0.37 10.0 0.63 133.0 413.9
57 15.917 A Hollow shell, probably replace Advanced Center Rot 0.0 0.00 15.9 1.00 120.0 394.4
58 15.917 A‐AUX Weathered but ok None 0.0 0.00 15.9 1.00 153.0 433.5
58 15.917 C Mid‐height check full length None 0.0 0.00 15.9 1.00 153.0 433.5
59 15.917 A Decay block at B59 Moderate Top Rot 0.0 0.00 3.0 0.19 132.8 360.4
59 15.917 A Hollow at top, 4' in Moderate Top Rot 4.0 0.25 15.9 1.00 132.8 360.4
60 15.917 C Tight, full length check None 0.0 0.00 15.9 1.00 153.0 433.5
61 15.917 A Hollow shell at 7' Advanced Center Rot 7.0 0.44 9.0 0.57 120.0 394.4
61 15.917 DSmall mid‐height check at mid‐
spanNone 8.0 0.50 8.0 0.50 153.0 433.5
61 15.917 D Soft end near B62 Minor Center Rot 13.5 0.85 15.5 0.97 144.0 426.4
62 15.917 A Moderate rot 0 ‐ 3' Moderate Center Rot 0.0 0.00 3.0 0.19 133.0 413.9
62 15.917 D Split, twisted end at B62 Bearing Area Reduction 15.5 0.97 15.5 0.97 153.0 433.5
63 15.917 FChecking mid‐height of stringer
at mid‐spanNone 8.0 0.50 8.0 0.50 153.0 433.5
NEW STRINGER 15.917 ‐ ‐ None 0.0 0.00 15.9 1.00 153.0 433.5
SEV. CTR. ROT 15.917 Severe Center Rot 0.0 0.00 15.9 1.00 88.0 325.8
SEV. TOP ROT 15.917 Severe Top Rot 0.0 0.00 15.9 1.00 117.0 308.2
ADV. CTR. ROT 15.917 ‐ ‐ Advanced Center Rot 0.0 0.00 15.9 1.00 120.0 394.4
ADV. TOP ROT 15.917 ‐ ‐ Advanced Top Rot 0.0 0.00 15.9 1.00 126.0 337.5
MOD. CTR. ROT 15.917 ‐ ‐ Moderate Center Rot 0.0 0.00 15.9 1.00 133.0 413.9
MOD. TOP ROT 15.917 ‐ ‐ Moderate Top Rot 0.0 0.00 15.9 1.00 132.8 360.4
MINOR CTR. ROT 15.917 ‐ ‐ Minor Center Rot 0.0 0.00 15.9 1.00 144.0 426.4
MINOR TOP ROT 15.917 ‐ ‐ Minor Top Rot 0.0 0.00 15.9 1.00 144.0 400.2
Timber Stringer Load Rating
C-51
Load Rating Calculations Wilburton TrestleDead Loads 3/10/2016
King County Department of Natural Resources and Parks
Dead Loads:
Deck Type = Asphalt ‐ Change between Concrete and Asphalt to change load rating parametersDeck Width 12 ft ‐ Change between desired deck widths to change load rating parametersNumber of Stringers 5Deck Thickness 10 in ‐ thickness of concrete panel or thickness of timber decking beneath asphalt wearing surfaceWearing Surface Thickness 0.25 ft ‐ Asphalt wearing surface
Component A (SF) Density (pcf) Weight (plf)Decking 10.0 50 500 Change density depending on decking type
Wearing Surface 3.0 140 420
Railing ‐ ‐ 50
Stringer 1.06 50 319 (50 pcf for timber (WSDOT BDM))Total 2563.8 Total dead load per foot of superstructure
Shears and Moments:
Two‐Span Continuous (lb, lb‐ft) Simple Span (lb, lb‐ft) *For Use in Load Rating
Location Shear Moment Location Shear Moment Location Shear Moment0.0 ‐15303 0 0.0 19869 0 0.0 25505 811910.1 ‐15526 20019 0.1 15895 27717 0.1 15895 415780.2 ‐13801 33878 0.2 11921 49275 0.2 11921 492750.3 ‐12076 41578 0.3 7948 64674 0.3 7948 646740.4 ‐10351 45670 0.4 3974 73913 0.4 6901 739130.5 ‐8626 38498 0.5 0 76993 0.5 8626 769930.6 ‐6901 27718 0.6 ‐3974 73913 0.6 6901 739130.7 ‐5175 10779 0.7 ‐7948 64674 0.7 7948 646740.8 ‐3450 ‐12319 0.8 ‐11921 49275 0.8 11921 492750.9 ‐1725 ‐41578 0.9 ‐15895 27717 0.9 15895 415781.0 25505 ‐81191 1.0 ‐19869 0 1.0 25505 811911.1 1725 ‐41578 *Worst case shear and moment at1.2 3450 ‐12319 tenth points. This is a conservative1.3 5175 10779 simplification.1.4 6901 277181.5 8626 38498
1.6 10351 45670
1.7 12076 41578
1.8 13801 33878
1.9 15526 20019
2.0 15303 0
Dead Load Distribution:
Dist. Factor 0.200 Divide total dead load by number of stringers
‐100000
‐80000
‐60000
‐40000
‐20000
0
20000
40000
60000
0.0 0.5 1.0 1.5 2.0
Force (LB, LB‐FT)
Span Point
Dead Load Forces ‐ Two‐Span Cont. Shear
Moment
‐40000
‐20000
0
20000
40000
60000
80000
100000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Dead Load Forces ‐ Simple Span Shear
Moment
0
20000
40000
60000
80000
100000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Worst Case Shear and Moment (Dead Load) Series3
Series4
Timber Stringer Load Rating
C-52
Load Rating Calculations Wilburton TrestleLive Load Distribution and Allowable Stress 3/10/2016
King County Department of Natural Resources and Parks
Live Load Distribution and Impact:
Load Distribution 0.208 Lanes per stringer = (S/6) * (1 lane/2 wheels) (AASHTO Std. Specs. Table 3.23.1)Impact 1.00 Impact is not applied to timber structures (WSDOT 13.1.3)
Allowable stresses (per AASHTO Std. Specifications 17th Edition)
Unmodified Design Values
Visually Graded Lumber (AASHTO Table 13.5.1A) ‐ Douglas Fir No. 1
Fb 2000 psi
Fv 165 psi
E 1600000 psi
Recall Section DimensionsStringer Height, H (in) 17Stringer Width, B (in) 9
Adjustments to Design Values
Fb Fv E
Wet Service Factor, CM 0.80 0.88 0.83
Load Duration Factor, CD 1.15 1.15 ‐ AASHTO 13.5.5.2Size Factor, CF 0.96 ‐ ‐Beam Stability Factor, CL 0.99 ‐ ‐ AASHTO 13.6.4.4
lu 191 ‐ ‐ Unsupported length measured between bents (in)
lu/d 11.24 ‐ ‐
le 362.33 ‐ ‐ Effective unsupported length = 1.63*lu + 3d when 7 ≤ lu/d ≤ 14.3 (in)
Rb 8.72 ‐ ‐ sqrt(le*d/b^2) <= 50
E` 1333280 ‐ ‐ AASHTO 13.6.3KbE 0.438 ‐ ‐
FbE 7679.40 ‐ ‐ KbE*E'/RB^2 AASHTO (13‐8)
F*b 1770.15 ‐ ‐ Fb*CM*CF*CD2.81 ‐ ‐ 1st term in beam stability factor coefficient equation7.89 ‐ ‐ 1st term in square root4.57 ‐ ‐ 2nd term in square root
Modified Design Values for Visually Graded Lumber (AASHTO Table 13.5.1A)
Inventory Level Capacities
Fb 1744.51 psi
Fv 166.03 psi
Operating Level Capacities (AASHTO MBE 6B.5.2.7)
Fb 2320.20 psi
Fv 220.82 psi
Timber Stringer Load Rating
C-53
Load Rating Calculations Wilburton TrestleRating Factors 3/10/2016Special 2 King County Department of Natural Resources and Parks
Shears and Moments:
LL Forces for Load Rating CalcsLocation Shear Moment
0.0 59090 926000.1 49080 935500.2 39070 1489400.3 34060 1642150.4 26360 1890350.5 23670 1985800.6 26360 1890350.7 34060 1642150.8 39070 1489400.9 49080 935501.0 59090 92600
Recall Dead Load ForcesLocation Shear Moment
0 25504.50547 81191.042710.1 15895.25 41577.51480.2 11921.4375 49275.2750.3 7947.625 64673.798440.4 6900.535329 73912.91250.5 8625.669161 76992.617190.6 6900.535329 73912.91250.7 7947.625 64673.798440.8 11921.4375 49275.2750.9 15895.25 41577.51481 25504.50547 81191.04271
‐50000
0
50000
100000
150000
200000
250000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Worst Case Shear and Moment
Series3 Series4
0
10000
20000
30000
40000
50000
60000
70000
80000
90000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Recall Dead Load Forces For Load Rating Calcs Series3
Series4
Timber Stringer Load Rating
C-54
Load Rating Calculations Wilburton TrestleRating Factors 3/10/2016Special 2 King County Department of Natural Resources and Parks
Rating Factors:
Flexure Operating
Span StringerTenth Point
Begin
Tenth Point
EndS MDL (lb*in)* MLL (lb*in)* fDL fLL RF RF < 1.0?
1 A 0.00 0.47 413.89 194859 496450 470.80 1199.47 1.54
1 D 0.28 0.53 413.89 184782 496450 446.45 1199.47 1.56
2 B 0.00 0.13 400.17 194859 372350 486.94 930.49 1.97
3 A 0.33 0.67 337.50 184782 496450 547.50 1470.96 1.21
3 C 0.87 1.00 400.17 194859 372350 486.94 930.49 1.97
3 D 0.00 0.00 426.35 194859 231500 457.04 542.98 3.43
3 F 0.00 0.00 433.50 194859 231500 449.50 534.03 3.50
4 A 0.06 0.94 337.50 194859 496450 577.36 1470.96 1.18
4 F‐AUX 0.25 0.53 413.89 184782 496450 446.45 1199.47 1.56
5 A 0.06 0.94 325.80 194859 496450 598.09 1523.77 1.13
5 B 0.87 1.00 400.17 194859 372350 486.94 930.49 1.97
5 C 0.00 0.00 426.35 194859 231500 457.04 542.98 3.43
5 D 0.85 1.00 413.89 194859 372350 470.80 899.63 2.06
5 F 1.00 1.00 433.50 194859 231500 449.50 534.03 3.50
6 A 0.25 0.75 394.35 184782 496450 468.57 1258.90 1.47
6 F 0.36 0.61 426.35 184782 496450 433.40 1164.41 1.62
7 A 0.33 0.66 308.17 184782 496450 599.62 1610.98 1.07
7 D 1.00 1.00 433.50 194859 231500 449.50 534.03 3.50
7 F‐AUX 1.00 1.00 433.50 194859 231500 449.50 534.03 3.50
8 A 0.33 0.66 325.80 184782 496450 567.16 1523.77 1.15
8 B 0.87 1.00 400.17 194859 372350 486.94 930.49 1.97
8 F 0.36 0.61 400.17 184782 496450 461.76 1240.61 1.50
9 D 0.72 1.00 413.89 194859 410538 470.80 991.89 1.86
10 A 0.00 1.00 308.17 194859 496450 632.32 1610.98 1.05
10 F 0.40 0.60 433.50 184782 496450 426.26 1145.21 1.65
11 A 0.33 0.67 394.35 184782 496450 468.57 1258.90 1.47
11 D 0.00 1.00 433.50 194859 496450 449.50 1145.21 1.63
11 F‐AUX 0.36 0.61 400.17 184782 496450 461.76 1240.61 1.50
13 E 0.36 0.61 433.50 184782 496450 426.26 1145.21 1.65
14 C 0.87 1.00 360.38 194859 372350 540.71 1033.23 1.72
14 D 1.00 1.00 433.50 194859 231500 449.50 534.03 3.50
15 A 0.33 0.67 308.17 184782 496450 599.62 1610.98 1.07
15 C 0.00 0.13 360.38 194859 372350 540.71 1033.23 1.72
16 C 0.81 1.00 360.38 194859 372350 540.71 1033.23 1.72
17 A 0.75 1.00 308.17 194859 410538 632.32 1332.19 1.27
18 A 0.00 0.50 308.17 194859 496450 632.32 1610.98 1.05
18 A 0.50 1.00 360.38 194859 496450 540.71 1377.59 1.29
18 C 0.81 1.00 413.89 194859 372350 470.80 899.63 2.06
18 D 0.00 0.00 433.50 194859 231500 449.50 534.03 3.50
18 D 0.97 0.97 433.50 194859 233875 449.50 539.50 3.47
19 A 0.67 1.00 308.17 194859 472588 632.32 1533.55 1.10
19 F‐AUX 0.36 0.61 433.50 184782 496450 426.26 1145.21 1.65
20 A 0.33 0.67 413.89 184782 496450 446.45 1199.47 1.56
20 D 0.97 0.97 433.50 194859 233875 449.50 539.50 3.47
21 A 0.87 1.00 360.38 194859 372350 540.71 1033.23 1.72
21 D 0.40 0.60 433.50 184782 496450 426.26 1145.21 1.65
22 C 1.00 1.00 433.50 194859 231500 449.50 534.03 3.50
23 A 0.33 0.67 308.17 184782 496450 599.62 1610.98 1.07
23 D 0.00 0.00 433.50 194859 231500 449.50 534.03 3.50
23 D 0.00 1.00 433.50 194859 496450 449.50 1145.21 1.63
24 A 0.00 0.50 413.89 194859 496450 470.80 1199.47 1.54
25 A 0.33 0.67 308.17 184782 496450 599.62 1610.98 1.07
25 A 0.87 1.00 400.17 194859 372350 486.94 930.49 1.97
25 D 0.36 0.61 426.35 184782 496450 433.40 1164.41 1.62
Timber Stringer Load Rating
C-55
Load Rating Calculations Wilburton TrestleRating Factors 3/10/2016Special 2 King County Department of Natural Resources and Parks
26 A 0.33 0.67 360.38 184782 496450 512.75 1377.59 1.31
26 D 0.36 0.61 426.35 184782 496450 433.40 1164.41 1.62
26 D 0.36 0.61 433.50 184782 496450 426.26 1145.21 1.65
27 A 0.40 0.80 360.38 184782 496450 512.75 1377.59 1.31
27 C 0.87 1.00 360.38 194859 372350 540.71 1033.23 1.72
28 A 0.20 0.80 360.38 184782 496450 512.75 1377.59 1.31
28 B 0.00 1.00 400.17 194859 496450 486.94 1240.61 1.48
29 A 0.00 0.19 360.38 194859 372350 540.71 1033.23 1.72
29 A 0.70 1.00 337.50 194859 410538 577.36 1216.41 1.43
29 D 0.85 0.97 413.89 194859 372350 470.80 899.63 2.06
30 A 0.00 0.13 360.38 194859 372350 540.71 1033.23 1.72
30 A 0.30 0.80 413.89 184782 496450 446.45 1199.47 1.56
31 A 0.87 1.00 360.38 194859 372350 540.71 1033.23 1.72
32 A 0.00 1.00 400.17 194859 496450 486.94 1240.61 1.48
32 B 0.00 1.00 400.17 194859 496450 486.94 1240.61 1.48
32 F‐AUX 0.00 0.19 400.17 194859 372350 486.94 930.49 1.97
34 C 0.87 1.00 400.17 194859 372350 486.94 930.49 1.97
35 A 0.10 0.60 413.89 184782 496450 446.45 1199.47 1.56
35 C 0.00 0.13 400.17 194859 372350 486.94 930.49 1.97
37 C 0.40 0.60 433.50 184782 496450 426.26 1145.21 1.65
38 A 0.50 1.00 325.80 194859 496450 598.09 1523.77 1.13
38 C 0.00 1.00 433.50 194859 496450 449.50 1145.21 1.63
39 A‐AUX 0.33 0.67 426.35 184782 496450 433.40 1164.41 1.62
39 F 0.00 1.00 433.50 194859 496450 449.50 1145.21 1.63
41 D 0.00 0.00 433.50 194859 233875 449.50 539.50 3.47
41 A 0.50 0.50 433.50 184782 496450 426.26 1145.21 1.65
42 C 0.00 1.00 433.50 194859 496450 449.50 1145.21 1.63
43 A 0.75 1.00 426.35 194859 410538 457.04 962.91 1.93
44 A 0.50 1.00 325.80 194859 496450 598.09 1523.77 1.13
44 F 0.82 0.97 413.89 194859 372350 470.80 899.63 2.06
45 A 0.00 0.25 413.89 194859 410538 470.80 991.89 1.86
51 D 0.01 0.02 433.50 194859 233875 449.50 539.50 3.47
52 D 0.01 0.02 433.50 194859 233875 449.50 539.50 3.47
53 F 0.66 0.97 400.17 194859 472588 486.94 1180.98 1.55
54 A 0.25 0.50 413.89 184782 496450 446.45 1199.47 1.56
55 A‐AUX 0.00 1.00 433.50 194859 496450 449.50 1145.21 1.63
55 C 0.00 0.13 426.35 194859 372350 457.04 873.34 2.13
55 C 0.00 1.00 433.50 194859 496450 449.50 1145.21 1.63
55 C 0.87 1.00 426.35 194859 372350 457.04 873.34 2.13
56 A 0.37 0.63 413.89 184782 496450 446.45 1199.47 1.56
57 A 0.00 1.00 394.35 194859 496450 494.12 1258.90 1.45
58 A‐AUX 0.00 1.00 433.50 194859 496450 449.50 1145.21 1.63
58 C 0.00 1.00 433.50 194859 496450 449.50 1145.21 1.63
59 A 0.00 0.19 360.38 194859 372350 540.71 1033.23 1.72
59 A 0.25 1.00 360.38 194859 496450 540.71 1377.59 1.29
60 C 0.00 1.00 433.50 194859 496450 449.50 1145.21 1.63
61 A 0.44 0.57 394.35 184782 496450 468.57 1258.90 1.47
61 D 0.50 0.50 433.50 184782 496450 426.26 1145.21 1.65
61 D 0.85 0.97 426.35 194859 372350 457.04 873.34 2.13
62 A 0.00 0.19 413.89 194859 372350 470.80 899.63 2.06
62 D 0.97 0.97 433.50 194859 233875 449.50 539.50 3.47
63 F 0.50 0.50 433.50 184782 496450 426.26 1145.21 1.65
NEW STRINGER ‐ 0.00 1.00 433.50 194859 496450 449.50 1145.21 1.63
SEV. CTR. ROT 0 0.00 1.00 325.80 194859 496450 598.09 1523.77 1.13
SEV. TOP ROT 0 0.00 1.00 308.17 194859 496450 632.32 1610.98 1.05
ADV. CTR. ROT ‐ 0.00 1.00 394.35 194859 496450 494.12 1258.90 1.45
ADV. TOP ROT ‐ 0.00 1.00 337.50 194859 496450 577.36 1470.96 1.18
MOD. CTR. ROT ‐ 0.00 1.00 413.89 194859 496450 470.80 1199.47 1.54
MOD. TOP ROT ‐ 0.00 1.00 360.38 194859 496450 540.71 1377.59 1.29
MINOR CTR. ROT ‐ 0.00 1.00 426.35 194859 496450 457.04 1164.41 1.60
MINOR TOP ROT ‐ 0.00 1.00 400.17 194859 496450 486.94 1240.61 1.48
MIN RATING FACTOR 1.05
NO. STRINGERS WITH FACTOR < 1.0 0
Timber Stringer Load Rating
C-56
Load Rating Calculations Wilburton TrestleRating Factors 3/10/2016Special 2 King County Department of Natural Resources and Parks
Shear Operating
Span StringerTenth Point
Begin
Tenth Point
EndA VDL (lb) VLL (lb) fDL fLL RF RF < 1.0?
1 A 0.00 0.47 133 7651 15338 57.53 115.32 1.42
1 D 0.28 0.53 133 3576 12209 26.89 91.80 2.11
2 B 0.00 0.13 144 7651 15338 53.13 106.51 1.57
3 A 0.33 0.67 126 2588 10644 20.54 84.47 2.37
3 C 0.87 1.00 144 7651 15338 53.13 106.51 1.57
3 D 0.00 0.00 144 7651 0 53.13 0.00 1.00
3 F 0.00 0.00 153 7651 0 50.01 0.00 1.00
4 A 0.06 0.94 126 7651 15338 60.73 121.73 1.32
4 F‐AUX 0.25 0.53 133 3576 12209 26.89 91.80 2.11
5 A 0.06 0.94 88 7651 15338 86.95 174.29 0.77 1
5 B 0.87 1.00 144 7651 15338 53.13 106.51 1.57
5 C 0.00 0.00 144 7651 0 53.13 0.00 1.00
5 D 0.85 1.00 133 7651 15338 57.53 115.32 1.42
5 F 1.00 1.00 153 7651 0 50.01 0.00 1.00
6 A 0.25 0.75 120 3576 12209 29.80 101.74 1.88
6 F 0.36 0.61 144 2588 10644 17.97 73.91 2.74
7 A 0.33 0.66 117 2588 10644 22.12 90.97 2.18
7 D 1.00 1.00 153 7651 0 50.01 0.00 1.00
7 F‐AUX 1.00 1.00 153 7651 0 50.01 0.00 1.00
8 A 0.33 0.66 88 2588 10644 29.41 120.95 1.58
8 B 0.87 1.00 144 7651 15338 53.13 106.51 1.57
8 F 0.36 0.61 144 2588 10644 17.97 73.91 2.74
9 D 0.72 1.00 133 7651 15338 57.53 115.32 1.42
10 A 0.00 1.00 117 7651 15338 65.40 131.09 1.19
10 F 0.40 0.60 153 2588 8238 16.91 53.84 3.79
11 A 0.33 0.67 120 2588 10644 21.56 88.70 2.25
11 D 0.00 1.00 153 7651 15338 50.01 100.25 1.70
11 F‐AUX 0.36 0.61 144 2588 10644 17.97 73.91 2.74
13 E 0.36 0.61 153 2588 10644 16.91 69.57 2.93
14 C 0.87 1.00 132.75 7651 15338 57.64 115.54 1.41
14 D 1.00 1.00 153 7651 0 50.01 0.00 1.00
15 A 0.33 0.67 117 2588 10644 22.12 90.97 2.18
15 C 0.00 0.13 132.75 7651 15338 57.64 115.54 1.41
16 C 0.81 1.00 132.75 7651 15338 57.64 115.54 1.41
17 A 0.75 1.00 117 7651 15338 65.40 131.09 1.19
18 A 0.00 0.50 117 7651 15338 65.40 131.09 1.19
18 A 0.50 1.00 132.75 7651 15338 57.64 115.54 1.41
18 C 0.81 1.00 133 7651 15338 57.53 115.32 1.42
18 D 0.00 0.00 153 7651 0 50.01 0.00 1.00
18 D 0.97 0.97 153 7651 15338 50.01 100.25 1.70
19 A 0.67 1.00 117 7651 15338 65.40 131.09 1.19
19 F‐AUX 0.36 0.61 153 2588 10644 16.91 69.57 2.93
20 A 0.33 0.67 133 2588 10644 19.46 80.03 2.52
20 D 0.97 0.97 153 7651 15338 50.01 100.25 1.70
21 A 0.87 1.00 132.75 7651 15338 57.64 115.54 1.41
21 D 0.40 0.60 153 2588 8238 16.91 53.84 3.79
22 C 1.00 1.00 153 7651 0 50.01 0.00 1.00
23 A 0.33 0.67 117 2588 10644 22.12 90.97 2.18
23 D 0.00 0.00 153 7651 0 50.01 0.00 1.00
23 D 0.00 1.00 153 7651 15338 50.01 100.25 1.70
24 A 0.00 0.50 133 7651 15338 57.53 115.32 1.42
25 A 0.33 0.67 117 2588 10644 22.12 90.97 2.18
25 A 0.87 1.00 144 7651 15338 53.13 106.51 1.57
25 D 0.36 0.61 144 2588 10644 17.97 73.91 2.74
26 A 0.33 0.67 132.75 2588 10644 19.49 80.18 2.51
26 D 0.36 0.61 144 2588 10644 17.97 73.91 2.74
26 D 0.36 0.61 153 2588 10644 16.91 69.57 2.93
27 A 0.40 0.80 132.75 3576 12209 26.94 91.97 2.11
27 C 0.87 1.00 132.75 7651 15338 57.64 115.54 1.41
28 A 0.20 0.80 132.75 3576 12209 26.94 91.97 2.11
Timber Stringer Load Rating
C-57
Load Rating Calculations Wilburton TrestleRating Factors 3/10/2016Special 2 King County Department of Natural Resources and Parks
28 B 0.00 1.00 144 7651 15338 53.13 106.51 1.57
29 A 0.00 0.19 132.75 7651 15338 57.64 115.54 1.41
29 A 0.70 1.00 126 7651 15338 60.73 121.73 1.32
29 D 0.85 0.97 133 7651 15338 57.53 115.32 1.42
30 A 0.00 0.13 132.75 7651 15338 57.64 115.54 1.41
30 A 0.30 0.80 133 3576 12209 26.89 91.80 2.11
31 A 0.87 1.00 132.75 7651 15338 57.64 115.54 1.41
32 A 0.00 1.00 144 7651 15338 53.13 106.51 1.57
32 B 0.00 1.00 144 7651 15338 53.13 106.51 1.57
32 F‐AUX 0.00 0.19 144 7651 15338 53.13 106.51 1.57
34 C 0.87 1.00 144 7651 15338 53.13 106.51 1.57
35 A 0.10 0.60 133 4769 15338 35.85 115.32 1.60
35 C 0.00 0.13 144 7651 15338 53.13 106.51 1.57
37 C 0.40 0.60 153 2588 8238 16.91 53.84 3.79
38 A 0.50 1.00 88 7651 15338 86.95 174.29 0.77 1
38 C 0.00 1.00 153 7651 15338 50.01 100.25 1.70
39 A‐AUX 0.33 0.67 144 2588 10644 17.97 73.91 2.74
39 F 0.00 1.00 153 7651 15338 50.01 100.25 1.70
41 D 0.00 0.00 153 7651 15338 50.01 100.25 1.70
41 A 0.50 0.50 153 2588 7397 16.91 48.35 4.22
42 C 0.00 1.00 153 7651 15338 50.01 100.25 1.70
43 A 0.75 1.00 144 7651 15338 53.13 106.51 1.57
44 A 0.50 1.00 88 7651 15338 86.95 174.29 0.77 1
44 F 0.82 0.97 133 7651 15338 57.53 115.32 1.42
45 A 0.00 0.25 133 7651 15338 57.53 115.32 1.42
51 D 0.01 0.02 153 7651 15338 50.01 100.25 1.70
52 D 0.01 0.02 153 7651 15338 50.01 100.25 1.70
53 F 0.66 0.97 144 7651 15338 53.13 106.51 1.57
54 A 0.25 0.50 133 3576 12209 26.89 91.80 2.11
55 A‐AUX 0.00 1.00 153 7651 15338 50.01 100.25 1.70
55 C 0.00 0.13 144 7651 15338 53.13 106.51 1.57
55 C 0.00 1.00 153 7651 15338 50.01 100.25 1.70
55 C 0.87 1.00 144 7651 15338 53.13 106.51 1.57
56 A 0.37 0.63 133 2588 10644 19.46 80.03 2.52
57 A 0.00 1.00 120 7651 15338 63.76 127.81 1.23
58 A‐AUX 0.00 1.00 153 7651 15338 50.01 100.25 1.70
58 C 0.00 1.00 153 7651 15338 50.01 100.25 1.70
59 A 0.00 0.19 132.75 7651 15338 57.64 115.54 1.41
59 A 0.25 1.00 132.75 7651 15338 57.64 115.54 1.41
60 C 0.00 1.00 153 7651 15338 50.01 100.25 1.70
61 A 0.44 0.57 120 2588 8238 21.56 68.65 2.90
61 D 0.50 0.50 153 2588 7397 16.91 48.35 4.22
61 D 0.85 0.97 144 7651 15338 53.13 106.51 1.57
62 A 0.00 0.19 133 7651 15338 57.53 115.32 1.42
62 D 0.97 0.97 153 7651 15338 50.01 100.25 1.70
63 F 0.50 0.50 153 2588 7397 16.91 48.35 4.22
NEW STRINGER ‐ 0.00 1.00 153 7651 15338 50.01 100.25 1.70
SEV. CTR. ROT 0 0.00 1.00 88 7651 15338 86.95 174.29 0.77
SEV. TOP ROT 0 0.00 1.00 117 7651 15338 65.40 131.09 1.19
ADV. CTR. ROT ‐ 0.00 1.00 120 7651 15338 63.76 127.81 1.23
ADV. TOP ROT ‐ 0.00 1.00 126 7651 15338 60.73 121.73 1.32
MOD. CTR. ROT ‐ 0.00 1.00 133 7651 15338 57.53 115.32 1.42
MOD. TOP ROT ‐ 0.00 1.00 132.75 7651 15338 57.64 115.54 1.41
MINOR CTR. ROT ‐ 0.00 1.00 144 7651 15338 53.13 106.51 1.57
MINOR TOP ROT ‐ 0.00 1.00 144 7651 15338 53.13 106.51 1.57
MIN RATING FACTOR 0.77
NO. STRINGERS WITH FACTOR < 1.0 3
Timber Stringer Load Rating
C-58
Load Rating Calculations Wilburton TrestleRating Factors 3/10/2016AASHTO HS20 King County Department of Natural Resources and Parks
Shears and Moments:
Two‐Span Continuous (lb, lb‐ft) Simple Span (lb, lb‐ft)
Location Min. Shear Max. Shear Min. Moment Max. Moment Location Min. Shear Max. Shear Moment
0.0 ‐31560 3073 0 0 0.0 ‐34623 0 0
0.1 ‐27156 4401 ‐4685 42090 0.1 ‐28223 3200 43920
0.2 ‐22925 9504 ‐9370 69920 0.2 ‐25023 6400 78080
0.3 ‐18900 11924 ‐14055 86467 0.3 ‐22401 8578 102481
0.4 ‐15121 18407 ‐18740 92236 0.4 ‐18623 12800 117120
0.5 ‐11622 22079 ‐23425 88616 0.5 ‐15423 16000 122000
0.6 ‐8440 25234 ‐28110 77218 0.6 ‐12223 19200 117120
0.7 ‐5610 26614 ‐32800 59874 0.7 ‐9600 21378 102480
0.8 ‐3167 29981 ‐37480 38636 0.8 ‐5823 25600 78080
0.9 ‐1150 31576 ‐59125 15774 0.9 ‐2623 28800 43920
1.0 ‐35274 33689 ‐93340 0 1.0 0 32578 0
1.1 ‐31327 1833 ‐59271 25145
1.2 ‐29638 4096 ‐34844 49972
1.3 ‐27430 5375 ‐23764 71993
1.4 ‐24702 9728 ‐13480 89012
1.5 ‐21456 13000 ‐8015 99125
1.6 ‐17689 16512 ‐6412 100724
1.7 ‐13404 18343 ‐4809 92489
1.8 ‐8599 24064 ‐3206 73396
1.9 ‐3275 28008 ‐1603 42713
2.0 ‐1052 31581 0 0
‐120000
‐100000
‐80000
‐60000
‐40000
‐20000
0
20000
40000
60000
80000
100000
120000
0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0
Force (LB, LB‐FT)
Span Point
Forces for 2 Continuous Spans
Min. Shear
Min. Moment
Max Shear
‐50000
‐30000
‐10000
10000
30000
50000
70000
90000
110000
130000
150000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Forces for 1 Simple Span
Min. Shear
Moment
Max. Shear
Timber Stringer Load Rating
C-59
Load Rating Calculations Wilburton TrestleRating Factors 3/10/2016AASHTO HS20 King County Department of Natural Resources and Parks
LL Forces for Load Rating Calcs (Max. of 2 cases above)Location Shear Moment
0.0 35274 933400.1 31327 591250.2 29638 780800.3 27430 1024800.4 24702 1171200.5 21456 1220000.6 24702 1171200.7 27430 1024800.8 29638 780800.9 31327 591251.0 35274 93340
Recall Dead Load ForcesLocation Shear Moment
0 25504.5 81191.00.1 15895.3 41577.50.2 11921.4 49275.30.3 7947.6 64673.80.4 6900.5 73912.90.5 8625.7 76992.60.6 6900.5 73912.90.7 7947.6 64673.80.8 11921.4 49275.30.9 15895.3 41577.51 25504.5 81191.0
‐50000
‐30000
‐10000
10000
30000
50000
70000
90000
110000
130000
150000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Worst Case Shear and Moment
Series3 Series4
0
10000
20000
30000
40000
50000
60000
70000
80000
90000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Recall Dead Load Forces For Load Rating Calcs Series3
Series4
Timber Stringer Load Rating
C-60
Load Rating Calculations Wilburton TrestleRating Factors 3/10/2016AASHTO HS20 King County Department of Natural Resources and Parks
Rating Factors:
Flexure Inventory
Span StringerTenth Point
Begin
Tenth Point
EndS MDL (lb*in)* MLL (lb*in)* fDL fLL RF RF < 1.0?
1 A 0.00 0.47 413.89 194859 305000 470.80 736.91 1.73
1 D 0.28 0.53 413.89 184782 305000 446.45 736.91 1.76
2 B 0.00 0.13 400.17 194859 233350 486.94 583.13 2.16
3 A 0.33 0.67 337.50 184782 305000 547.50 903.70 1.32
3 C 0.87 1.00 400.17 194859 233350 486.94 583.13 2.16
3 D 0.00 0.00 426.35 194859 233350 457.04 547.32 2.35
3 F 0.00 0.00 433.50 194859 233350 449.50 538.29 2.41
4 A 0.06 0.94 337.50 194859 305000 577.36 903.70 1.29
4 F‐AUX 0.25 0.53 413.89 184782 305000 446.45 736.91 1.76
5 A 0.06 0.94 325.80 194859 305000 598.09 936.15 1.22
5 B 0.87 1.00 400.17 194859 233350 486.94 583.13 2.16
5 C 0.00 0.00 426.35 194859 233350 457.04 547.32 2.35
5 D 0.85 1.00 413.89 194859 233350 470.80 563.79 2.26
5 F 1.00 1.00 433.50 194859 233350 449.50 538.29 2.41
6 A 0.25 0.75 394.35 184782 305000 468.57 773.42 1.65
6 F 0.36 0.61 426.35 184782 305000 433.40 715.37 1.83
7 A 0.33 0.66 308.17 184782 305000 599.62 989.72 1.16
7 D 1.00 1.00 433.50 194859 233350 449.50 538.29 2.41
7 F‐AUX 1.00 1.00 433.50 194859 233350 449.50 538.29 2.41
8 A 0.33 0.66 325.80 184782 305000 567.16 936.15 1.26
8 B 0.87 1.00 400.17 194859 233350 486.94 583.13 2.16
8 F 0.36 0.61 400.17 184782 305000 461.76 762.18 1.68
9 D 0.72 1.00 413.89 194859 256200 470.80 619.00 2.06
10 A 0.00 1.00 308.17 194859 305000 632.32 989.72 1.12
10 F 0.40 0.60 433.50 184782 305000 426.26 703.58 1.87
11 A 0.33 0.67 394.35 184782 305000 468.57 773.42 1.65
11 D 0.00 1.00 433.50 194859 305000 449.50 703.58 1.84
11 F‐AUX 0.36 0.61 400.17 184782 305000 461.76 762.18 1.68
13 E 0.36 0.61 433.50 184782 305000 426.26 703.58 1.87
14 C 0.87 1.00 360.38 194859 233350 540.71 647.52 1.86
14 D 1.00 1.00 433.50 194859 233350 449.50 538.29 2.41
15 A 0.33 0.67 308.17 184782 305000 599.62 989.72 1.16
15 C 0.00 0.13 360.38 194859 233350 540.71 647.52 1.86
16 C 0.81 1.00 360.38 194859 233350 540.71 647.52 1.86
17 A 0.75 1.00 308.17 194859 256200 632.32 831.37 1.34
18 A 0.00 0.50 308.17 194859 305000 632.32 989.72 1.12
18 A 0.50 1.00 360.38 194859 305000 540.71 846.34 1.42
18 C 0.81 1.00 413.89 194859 233350 470.80 563.79 2.26
18 D 0.00 0.00 433.50 194859 233350 449.50 538.29 2.41
18 D 0.97 0.97 433.50 194859 233350 449.50 538.29 2.41
19 A 0.67 1.00 308.17 194859 292800 632.32 950.14 1.17
19 F‐AUX 0.36 0.61 433.50 184782 305000 426.26 703.58 1.87
20 A 0.33 0.67 413.89 184782 305000 446.45 736.91 1.76
20 D 0.97 0.97 433.50 194859 233350 449.50 538.29 2.41
21 A 0.87 1.00 360.38 194859 233350 540.71 647.52 1.86
21 D 0.40 0.60 433.50 184782 305000 426.26 703.58 1.87
22 C 1.00 1.00 433.50 194859 233350 449.50 538.29 2.41
23 A 0.33 0.67 308.17 184782 305000 599.62 989.72 1.16
23 D 0.00 0.00 433.50 194859 233350 449.50 538.29 2.41
23 D 0.00 1.00 433.50 194859 305000 449.50 703.58 1.84
24 A 0.00 0.50 413.89 194859 305000 470.80 736.91 1.73
25 A 0.33 0.67 308.17 184782 305000 599.62 989.72 1.16
25 A 0.87 1.00 400.17 194859 233350 486.94 583.13 2.16
25 D 0.36 0.61 426.35 184782 305000 433.40 715.37 1.83
26 A 0.33 0.67 360.38 184782 305000 512.75 846.34 1.46
26 D 0.36 0.61 426.35 184782 305000 433.40 715.37 1.83
26 D 0.36 0.61 433.50 184782 305000 426.26 703.58 1.87
27 A 0.40 0.80 360.38 184782 305000 512.75 846.34 1.46
27 C 0.87 1.00 360.38 194859 233350 540.71 647.52 1.86
28 A 0.20 0.80 360.38 184782 305000 512.75 846.34 1.46
Timber Stringer Load Rating
C-61
Load Rating Calculations Wilburton TrestleRating Factors 3/10/2016AASHTO HS20 King County Department of Natural Resources and Parks
28 B 0.00 1.00 400.17 194859 305000 486.94 762.18 1.65
29 A 0.00 0.19 360.38 194859 233350 540.71 647.52 1.86
29 A 0.70 1.00 337.50 194859 256200 577.36 759.11 1.54
29 D 0.85 0.97 413.89 194859 233350 470.80 563.79 2.26
30 A 0.00 0.13 360.38 194859 233350 540.71 647.52 1.86
30 A 0.30 0.80 413.89 184782 305000 446.45 736.91 1.76
31 A 0.87 1.00 360.38 194859 233350 540.71 647.52 1.86
32 A 0.00 1.00 400.17 194859 305000 486.94 762.18 1.65
32 B 0.00 1.00 400.17 194859 305000 486.94 762.18 1.65
32 F‐AUX 0.00 0.19 400.17 194859 233350 486.94 583.13 2.16
34 C 0.87 1.00 400.17 194859 233350 486.94 583.13 2.16
35 A 0.10 0.60 413.89 184782 305000 446.45 736.91 1.76
35 C 0.00 0.13 400.17 194859 233350 486.94 583.13 2.16
37 C 0.40 0.60 433.50 184782 305000 426.26 703.58 1.87
38 A 0.50 1.00 325.80 194859 305000 598.09 936.15 1.22
38 C 0.00 1.00 433.50 194859 305000 449.50 703.58 1.84
39 A‐AUX 0.33 0.67 426.35 184782 305000 433.40 715.37 1.83
39 F 0.00 1.00 433.50 194859 305000 449.50 703.58 1.84
41 D 0.00 0.00 433.50 194859 233350 449.50 538.29 2.41
41 A 0.50 0.50 433.50 184782 305000 426.26 703.58 1.87
42 C 0.00 1.00 433.50 194859 305000 449.50 703.58 1.84
43 A 0.75 1.00 426.35 194859 256200 457.04 600.91 2.14
44 A 0.50 1.00 325.80 194859 305000 598.09 936.15 1.22
44 F 0.82 0.97 413.89 194859 233350 470.80 563.79 2.26
45 A 0.00 0.25 413.89 194859 256200 470.80 619.00 2.06
51 D 0.01 0.02 433.50 194859 233350 449.50 538.29 2.41
52 D 0.01 0.02 433.50 194859 233350 449.50 538.29 2.41
53 F 0.66 0.97 400.17 194859 292800 486.94 731.70 1.72
54 A 0.25 0.50 413.89 184782 305000 446.45 736.91 1.76
55 A‐AUX 0.00 1.00 433.50 194859 305000 449.50 703.58 1.84
55 C 0.00 0.13 426.35 194859 233350 457.04 547.32 2.35
55 C 0.00 1.00 433.50 194859 305000 449.50 703.58 1.84
55 C 0.87 1.00 426.35 194859 233350 457.04 547.32 2.35
56 A 0.37 0.63 413.89 184782 305000 446.45 736.91 1.76
57 A 0.00 1.00 394.35 194859 305000 494.12 773.42 1.62
58 A‐AUX 0.00 1.00 433.50 194859 305000 449.50 703.58 1.84
58 C 0.00 1.00 433.50 194859 305000 449.50 703.58 1.84
59 A 0.00 0.19 360.38 194859 233350 540.71 647.52 1.86
59 A 0.25 1.00 360.38 194859 305000 540.71 846.34 1.42
60 C 0.00 1.00 433.50 194859 305000 449.50 703.58 1.84
61 A 0.44 0.57 394.35 184782 305000 468.57 773.42 1.65
61 D 0.50 0.50 433.50 184782 305000 426.26 703.58 1.87
61 D 0.85 0.97 426.35 194859 233350 457.04 547.32 2.35
62 A 0.00 0.19 413.89 194859 233350 470.80 563.79 2.26
62 D 0.97 0.97 433.50 194859 233350 449.50 538.29 2.41
63 F 0.50 0.50 433.50 184782 305000 426.26 703.58 1.87
NEW STRINGER ‐ 0.00 1.00 433.50 194859 305000 449.50 703.58 1.84
SEV. CTR. ROT 0 0.00 1.00 325.80 194859 305000 598.09 936.15 1.22
SEV. TOP ROT 0 0.00 1.00 308.17 194859 305000 632.32 989.72 1.12
ADV. CTR. ROT ‐ 0.00 1.00 394.35 194859 305000 494.12 773.42 1.62
ADV. TOP ROT ‐ 0.00 1.00 337.50 194859 305000 577.36 903.70 1.29
MOD. CTR. ROT ‐ 0.00 1.00 413.89 194859 305000 470.80 736.91 1.73
MOD. TOP ROT ‐ 0.00 1.00 360.38 194859 305000 540.71 846.34 1.42
MINOR CTR. ROT ‐ 0.00 1.00 426.35 194859 305000 457.04 715.37 1.80
MINOR TOP ROT ‐ 0.00 1.00 400.17 194859 305000 486.94 762.18 1.65
MIN RATING FACTOR 1.12
NO. STRINGERS WITH FACTOR < 1.0 0
Timber Stringer Load Rating
C-62
Load Rating Calculations Wilburton TrestleRating Factors 3/10/2016AASHTO HS20 King County Department of Natural Resources and Parks
Shear Inventory
Span StringerTenth Point
Begin
Tenth Point
EndA VDL (lb) VLL (lb) fDL fLL RF RF < 1?
1 A 0.00 0.47 133 7651 9262 57.53 69.64 1.56
1 D 0.28 0.53 133 3576 9262 26.89 69.64 2.00
2 B 0.00 0.13 144 7651 9262 53.13 64.32 1.76
3 A 0.33 0.67 126 2588 8572 20.54 68.03 2.14
3 C 0.87 1.00 144 7651 9262 53.13 64.32 1.76
3 D 0.00 0.00 144 7651 0 53.13 0.00 1.00
3 F 0.00 0.00 153 7651 0 50.01 0.00 1.00
4 A 0.06 0.94 126 7651 9262 60.73 73.51 1.43
4 F‐AUX 0.25 0.53 133 3576 9262 26.89 69.64 2.00
5 A 0.06 0.94 88 7651 9262 86.95 105.25 0.75 1
5 B 0.87 1.00 144 7651 9262 53.13 64.32 1.76
5 C 0.00 0.00 144 7651 0 53.13 0.00 1.00
5 D 0.85 1.00 133 7651 9262 57.53 69.64 1.56
5 F 1.00 1.00 153 7651 0 50.01 0.00 1.00
6 A 0.25 0.75 120 3576 9262 29.80 77.18 1.77
6 F 0.36 0.61 144 2588 8572 17.97 59.53 2.49
7 A 0.33 0.66 117 2588 8572 22.12 73.26 1.96
7 D 1.00 1.00 153 7651 0 50.01 0.00 1.00
7 F‐AUX 1.00 1.00 153 7651 0 50.01 0.00 1.00
8 A 0.33 0.66 88 2588 8572 29.41 97.41 1.40
8 B 0.87 1.00 144 7651 9262 53.13 64.32 1.76
8 F 0.36 0.61 144 2588 8572 17.97 59.53 2.49
9 D 0.72 1.00 133 7651 9262 57.53 69.64 1.56
10 A 0.00 1.00 117 7651 9262 65.40 79.16 1.27
10 F 0.40 0.60 153 2588 7719 16.91 50.45 2.96
11 A 0.33 0.67 120 2588 8572 21.56 71.43 2.02
11 D 0.00 1.00 153 7651 9262 50.01 60.54 1.92
11 F‐AUX 0.36 0.61 144 2588 8572 17.97 59.53 2.49
13 E 0.36 0.61 153 2588 8572 16.91 56.03 2.66
14 C 0.87 1.00 132.75 7651 9262 57.64 69.77 1.55
14 D 1.00 1.00 153 7651 0 50.01 0.00 1.00
15 A 0.33 0.67 117 2588 8572 22.12 73.26 1.96
15 C 0.00 0.13 132.75 7651 9262 57.64 69.77 1.55
16 C 0.81 1.00 132.75 7651 9262 57.64 69.77 1.55
17 A 0.75 1.00 117 7651 9262 65.40 79.16 1.27
18 A 0.00 0.50 117 7651 9262 65.40 79.16 1.27
18 A 0.50 1.00 132.75 7651 9262 57.64 69.77 1.55
18 C 0.81 1.00 133 7651 9262 57.53 69.64 1.56
18 D 0.00 0.00 153 7651 0 50.01 0.00 1.00
18 D 0.97 0.97 153 7651 0 50.01 0.00 1.00
19 A 0.67 1.00 117 7651 9262 65.40 79.16 1.27
19 F‐AUX 0.36 0.61 153 2588 8572 16.91 56.03 2.66
20 A 0.33 0.67 133 2588 8572 19.46 64.45 2.27
20 D 0.97 0.97 153 7651 0 50.01 0.00 1.00
21 A 0.87 1.00 132.75 7651 9262 57.64 69.77 1.55
21 D 0.40 0.60 153 2588 7719 16.91 50.45 2.96
22 C 1.00 1.00 153 7651 0 50.01 0.00 1.00
23 A 0.33 0.67 117 2588 8572 22.12 73.26 1.96
23 D 0.00 0.00 153 7651 0 50.01 0.00 1.00
23 D 0.00 1.00 153 7651 9262 50.01 60.54 1.92
24 A 0.00 0.50 133 7651 9262 57.53 69.64 1.56
25 A 0.33 0.67 117 2588 8572 22.12 73.26 1.96
25 A 0.87 1.00 144 7651 9262 53.13 64.32 1.76
25 D 0.36 0.61 144 2588 8572 17.97 59.53 2.49
26 A 0.33 0.67 132.75 2588 8572 19.49 64.57 2.27
26 D 0.36 0.61 144 2588 8572 17.97 59.53 2.49
26 D 0.36 0.61 153 2588 8572 16.91 56.03 2.66
27 A 0.40 0.80 132.75 3576 9262 26.94 69.77 1.99
27 C 0.87 1.00 132.75 7651 9262 57.64 69.77 1.55
Timber Stringer Load Rating
C-63
Load Rating Calculations Wilburton TrestleRating Factors 3/10/2016AASHTO HS20 King County Department of Natural Resources and Parks
28 A 0.20 0.80 132.75 3576 9262 26.94 69.77 1.99
28 B 0.00 1.00 144 7651 9262 53.13 64.32 1.76
29 A 0.00 0.19 132.75 7651 9262 57.64 69.77 1.55
29 A 0.70 1.00 126 7651 9262 60.73 73.51 1.43
29 D 0.85 0.97 133 7651 9262 57.53 69.64 1.56
30 A 0.00 0.13 132.75 7651 9262 57.64 69.77 1.55
30 A 0.30 0.80 133 3576 9262 26.89 69.64 2.00
31 A 0.87 1.00 132.75 7651 9262 57.64 69.77 1.55
32 A 0.00 1.00 144 7651 9262 53.13 64.32 1.76
32 B 0.00 1.00 144 7651 9262 53.13 64.32 1.76
32 F‐AUX 0.00 0.19 144 7651 9262 53.13 64.32 1.76
34 C 0.87 1.00 144 7651 9262 53.13 64.32 1.76
35 A 0.10 0.60 133 4769 9262 35.85 69.64 1.87
35 C 0.00 0.13 144 7651 9262 53.13 64.32 1.76
37 C 0.40 0.60 153 2588 7719 16.91 50.45 2.96
38 A 0.50 1.00 88 7651 9262 86.95 105.25 0.75 1
38 C 0.00 1.00 153 7651 9262 50.01 60.54 1.92
39 A‐AUX 0.33 0.67 144 2588 8572 17.97 59.53 2.49
39 F 0.00 1.00 153 7651 9262 50.01 60.54 1.92
41 D 0.00 0.00 153 7651 0 50.01 0.00 1.00
41 A 0.50 0.50 153 2588 6705 16.91 43.82 3.40
42 C 0.00 1.00 153 7651 9262 50.01 60.54 1.92
43 A 0.75 1.00 144 7651 9262 53.13 64.32 1.76
44 A 0.50 1.00 88 7651 9262 86.95 105.25 0.75 1
44 F 0.82 0.97 133 7651 9262 57.53 69.64 1.56
45 A 0.00 0.25 133 7651 9262 57.53 69.64 1.56
51 D 0.01 0.02 153 7651 0 50.01 0.00 1.00
52 D 0.01 0.02 153 7651 0 50.01 0.00 1.00
53 F 0.66 0.97 144 7651 9262 53.13 64.32 1.76
54 A 0.25 0.50 133 3576 9262 26.89 69.64 2.00
55 A‐AUX 0.00 1.00 153 7651 9262 50.01 60.54 1.92
55 C 0.00 0.13 144 7651 9262 53.13 64.32 1.76
55 C 0.00 1.00 153 7651 9262 50.01 60.54 1.92
55 C 0.87 1.00 144 7651 9262 53.13 64.32 1.76
56 A 0.37 0.63 133 2588 8572 19.46 64.45 2.27
57 A 0.00 1.00 120 7651 9262 63.76 77.18 1.33
58 A‐AUX 0.00 1.00 153 7651 9262 50.01 60.54 1.92
58 C 0.00 1.00 153 7651 9262 50.01 60.54 1.92
59 A 0.00 0.19 132.75 7651 9262 57.64 69.77 1.55
59 A 0.25 1.00 132.75 7651 9262 57.64 69.77 1.55
60 C 0.00 1.00 153 7651 9262 50.01 60.54 1.92
61 A 0.44 0.57 120 2588 7719 21.56 64.33 2.25
61 D 0.50 0.50 153 2588 6705 16.91 43.82 3.40
61 D 0.85 0.97 144 7651 9262 53.13 64.32 1.76
62 A 0.00 0.19 133 7651 9262 57.53 69.64 1.56
62 D 0.97 0.97 153 7651 0 50.01 0.00 1.00
63 F 0.50 0.50 153 2588 6705 16.91 43.82 3.40
NEW STRINGER ‐ 0.00 1.00 153 7651 9262 50.01 60.54 1.92
SEV. CTR. ROT 0 0.00 1.00 88 7651 9262 86.95 105.25 0.75
SEV. TOP ROT 0 0.00 1.00 117 7651 9262 65.40 79.16 1.27
ADV. CTR. ROT ‐ 0.00 1.00 120 7651 9262 63.76 77.18 1.33
ADV. TOP ROT ‐ 0.00 1.00 126 7651 9262 60.73 73.51 1.43
MOD. CTR. ROT ‐ 0.00 1.00 133 7651 9262 57.53 69.64 1.56
MOD. TOP ROT ‐ 0.00 1.00 132.75 7651 9262 57.64 69.77 1.55
MINOR CTR. ROT ‐ 0.00 1.00 144 7651 9262 53.13 64.32 1.76
MINOR TOP ROT ‐ 0.00 1.00 144 7651 9262 53.13 64.32 1.76
MIN RATING FACTOR 0.75
NO. STRINGERS WITH FACTOR < 1.0 3
Timber Stringer Load Rating
C-64
Load Rating Calculations Wilburton TrestleRating Factors 3/10/2016SU5 King County Department of Natural Resources and Parks
Shears and Moments:
LL Forces for Load Rating Calcs Location Shear Moment
0.0 33340 669000.1 28090 535500.2 22840 870900.3 20215 958550.4 16895 1073750.5 16200 1101300.6 16895 1073750.7 20215 958550.8 22840 870900.9 28090 535501.0 33340 66900
Recall Dead Load ForcesLocation Shear Moment
0 25504.50547 81191.042710.1 15895.25 41577.51480.2 11921.4375 49275.2750.3 7947.625 64673.798440.4 6900.535329 73912.91250.5 8625.669161 76992.617190.6 6900.535329 73912.91250.7 7947.625 64673.798440.8 11921.4375 49275.2750.9 15895.25 41577.51481 25504.50547 81191.04271
‐50000
‐30000
‐10000
10000
30000
50000
70000
90000
110000
130000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Worst Case Shear and Moment
Series3 Series4
0
10000
20000
30000
40000
50000
60000
70000
80000
90000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Recall Dead Load Forces For Load Rating Calcs Series3
Series4
Timber Stringer Load Rating
C-65
Load Rating Calculations Wilburton TrestleRating Factors 3/10/2016SU5 King County Department of Natural Resources and Parks
Rating Factors:
Flexure Operating
Span StringerTenth Point
Begin
Tenth Point
EndS MDL (lb*in)* MLL (lb*in)* fDL fLL RF RF < 1.0?
1 A 0.00 0.47 413.89 194859 275325 470.80 665.21 2.78
1 D 0.28 0.53 413.89 184782 275325 446.45 665.21 2.82
2 B 0.00 0.13 400.17 194859 217725 486.94 544.09 3.37
3 A 0.33 0.67 337.50 184782 275325 547.50 815.78 2.17
3 C 0.87 1.00 400.17 194859 217725 486.94 544.09 3.37
3 D 0.00 0.00 426.35 194859 167250 457.04 392.28 4.75
3 F 0.00 0.00 433.50 194859 167250 449.50 385.81 4.85
4 A 0.06 0.94 337.50 194859 275325 577.36 815.78 2.14
4 F‐AUX 0.25 0.53 413.89 184782 275325 446.45 665.21 2.82
5 A 0.06 0.94 325.80 194859 275325 598.09 845.06 2.04
5 B 0.87 1.00 400.17 194859 217725 486.94 544.09 3.37
5 C 0.00 0.00 426.35 194859 167250 457.04 392.28 4.75
5 D 0.85 1.00 413.89 194859 217725 470.80 526.04 3.52
5 F 1.00 1.00 433.50 194859 167250 449.50 385.81 4.85
6 A 0.25 0.75 394.35 184782 275325 468.57 698.17 2.65
6 F 0.36 0.61 426.35 184782 275325 433.40 645.77 2.92
7 A 0.33 0.66 308.17 184782 275325 599.62 893.43 1.93
7 D 1.00 1.00 433.50 194859 167250 449.50 385.81 4.85
7 F‐AUX 1.00 1.00 433.50 194859 167250 449.50 385.81 4.85
8 A 0.33 0.66 325.80 184782 275325 567.16 845.06 2.07
8 B 0.87 1.00 400.17 194859 217725 486.94 544.09 3.37
8 F 0.36 0.61 400.17 184782 275325 461.76 688.03 2.70
9 D 0.72 1.00 413.89 194859 239638 470.80 578.99 3.19
10 A 0.00 1.00 308.17 194859 275325 632.32 893.43 1.89
10 F 0.40 0.60 433.50 184782 275325 426.26 635.12 2.98
11 A 0.33 0.67 394.35 184782 275325 468.57 698.17 2.65
11 D 0.00 1.00 433.50 194859 275325 449.50 635.12 2.95
11 F‐AUX 0.36 0.61 400.17 184782 275325 461.76 688.03 2.70
13 E 0.36 0.61 433.50 184782 275325 426.26 635.12 2.98
14 C 0.87 1.00 360.38 194859 217725 540.71 604.16 2.95
14 D 1.00 1.00 433.50 194859 167250 449.50 385.81 4.85
15 A 0.33 0.67 308.17 184782 275325 599.62 893.43 1.93
15 C 0.00 0.13 360.38 194859 217725 540.71 604.16 2.95
16 C 0.81 1.00 360.38 194859 217725 540.71 604.16 2.95
17 A 0.75 1.00 308.17 194859 239638 632.32 777.62 2.17
18 A 0.00 0.50 308.17 194859 275325 632.32 893.43 1.89
18 A 0.50 1.00 360.38 194859 275325 540.71 764.00 2.33
18 C 0.81 1.00 413.89 194859 217725 470.80 526.04 3.52
18 D 0.00 0.00 433.50 194859 167250 449.50 385.81 4.85
18 D 0.97 0.97 433.50 194859 167250 449.50 385.81 4.85
19 A 0.67 1.00 308.17 194859 268438 632.32 871.08 1.94
19 F‐AUX 0.36 0.61 433.50 184782 275325 426.26 635.12 2.98
20 A 0.33 0.67 413.89 184782 275325 446.45 665.21 2.82
20 D 0.97 0.97 433.50 194859 167250 449.50 385.81 4.85
21 A 0.87 1.00 360.38 194859 217725 540.71 604.16 2.95
21 D 0.40 0.60 433.50 184782 275325 426.26 635.12 2.98
22 C 1.00 1.00 433.50 194859 167250 449.50 385.81 4.85
23 A 0.33 0.67 308.17 184782 275325 599.62 893.43 1.93
23 D 0.00 0.00 433.50 194859 167250 449.50 385.81 4.85
23 D 0.00 1.00 433.50 194859 275325 449.50 635.12 2.95
24 A 0.00 0.50 413.89 194859 275325 470.80 665.21 2.78
25 A 0.33 0.67 308.17 184782 275325 599.62 893.43 1.93
25 A 0.87 1.00 400.17 194859 217725 486.94 544.09 3.37
Timber Stringer Load Rating
C-66
Load Rating Calculations Wilburton TrestleRating Factors 3/10/2016SU5 King County Department of Natural Resources and Parks
25 D 0.36 0.61 426.35 184782 275325 433.40 645.77 2.92
26 A 0.33 0.67 360.38 184782 275325 512.75 764.00 2.37
26 D 0.36 0.61 426.35 184782 275325 433.40 645.77 2.92
26 D 0.36 0.61 433.50 184782 275325 426.26 635.12 2.98
27 A 0.40 0.80 360.38 184782 275325 512.75 764.00 2.37
27 C 0.87 1.00 360.38 194859 217725 540.71 604.16 2.95
28 A 0.20 0.80 360.38 184782 275325 512.75 764.00 2.37
28 B 0.00 1.00 400.17 194859 275325 486.94 688.03 2.66
29 A 0.00 0.19 360.38 194859 217725 540.71 604.16 2.95
29 A 0.70 1.00 337.50 194859 239638 577.36 710.04 2.45
29 D 0.85 0.97 413.89 194859 217725 470.80 526.04 3.52
30 A 0.00 0.13 360.38 194859 217725 540.71 604.16 2.95
30 A 0.30 0.80 413.89 184782 275325 446.45 665.21 2.82
31 A 0.87 1.00 360.38 194859 217725 540.71 604.16 2.95
32 A 0.00 1.00 400.17 194859 275325 486.94 688.03 2.66
32 B 0.00 1.00 400.17 194859 275325 486.94 688.03 2.66
32 F‐AUX 0.00 0.19 400.17 194859 217725 486.94 544.09 3.37
34 C 0.87 1.00 400.17 194859 217725 486.94 544.09 3.37
35 A 0.10 0.60 413.89 184782 275325 446.45 665.21 2.82
35 C 0.00 0.13 400.17 194859 217725 486.94 544.09 3.37
37 C 0.40 0.60 433.50 184782 275325 426.26 635.12 2.98
38 A 0.50 1.00 325.80 194859 275325 598.09 845.06 2.04
38 C 0.00 1.00 433.50 194859 275325 449.50 635.12 2.95
39 A‐AUX 0.33 0.67 426.35 184782 275325 433.40 645.77 2.92
39 F 0.00 1.00 433.50 194859 275325 449.50 635.12 2.95
41 D 0.00 0.00 433.50 194859 167250 449.50 385.81 4.85
41 A 0.50 0.50 433.50 184782 275325 426.26 635.12 2.98
42 C 0.00 1.00 433.50 194859 275325 449.50 635.12 2.95
43 A 0.75 1.00 426.35 194859 239638 457.04 562.06 3.31
44 A 0.50 1.00 325.80 194859 275325 598.09 845.06 2.04
44 F 0.82 0.97 413.89 194859 217725 470.80 526.04 3.52
45 A 0.00 0.25 413.89 194859 239638 470.80 578.99 3.19
51 D 0.01 0.02 433.50 194859 167250 449.50 385.81 4.85
52 D 0.01 0.02 433.50 194859 167250 449.50 385.81 4.85
53 F 0.66 0.97 400.17 194859 268438 486.94 670.81 2.73
54 A 0.25 0.50 413.89 184782 275325 446.45 665.21 2.82
55 A‐AUX 0.00 1.00 433.50 194859 275325 449.50 635.12 2.95
55 C 0.00 0.13 426.35 194859 217725 457.04 510.67 3.65
55 C 0.00 1.00 433.50 194859 275325 449.50 635.12 2.95
55 C 0.87 1.00 426.35 194859 217725 457.04 510.67 3.65
56 A 0.37 0.63 413.89 184782 275325 446.45 665.21 2.82
57 A 0.00 1.00 394.35 194859 275325 494.12 698.17 2.62
58 A‐AUX 0.00 1.00 433.50 194859 275325 449.50 635.12 2.95
58 C 0.00 1.00 433.50 194859 275325 449.50 635.12 2.95
59 A 0.00 0.19 360.38 194859 217725 540.71 604.16 2.95
59 A 0.25 1.00 360.38 194859 275325 540.71 764.00 2.33
60 C 0.00 1.00 433.50 194859 275325 449.50 635.12 2.95
61 A 0.44 0.57 394.35 184782 275325 468.57 698.17 2.65
61 D 0.50 0.50 433.50 184782 275325 426.26 635.12 2.98
61 D 0.85 0.97 426.35 194859 217725 457.04 510.67 3.65
62 A 0.00 0.19 413.89 194859 217725 470.80 526.04 3.52
62 D 0.97 0.97 433.50 194859 167250 449.50 385.81 4.85
63 F 0.50 0.50 433.50 184782 275325 426.26 635.12 2.98
NEW STRINGER ‐ 0.00 1.00 433.50 194859 275325 449.50 635.12 2.95
SEV. CTR. ROT 0 0.00 1.00 325.80 194859 275325 598.09 845.06 2.04
SEV. TOP ROT 0 0.00 1.00 308.17 194859 275325 632.32 893.43 1.89
ADV. CTR. ROT ‐ 0.00 1.00 394.35 194859 275325 494.12 698.17 2.62
ADV. TOP ROT ‐ 0.00 1.00 337.50 194859 275325 577.36 815.78 2.14
MOD. CTR. ROT ‐ 0.00 1.00 413.89 194859 275325 470.80 665.21 2.78
MOD. TOP ROT ‐ 0.00 1.00 360.38 194859 275325 540.71 764.00 2.33
MINOR CTR. ROT ‐ 0.00 1.00 426.35 194859 275325 457.04 645.77 2.89
MINOR TOP ROT ‐ 0.00 1.00 400.17 194859 275325 486.94 688.03 2.66
MIN RATING FACTOR 1.89
NO. STRINGERS WITH FACTOR < 1.0 0
Timber Stringer Load Rating
C-67
Load Rating Calculations Wilburton TrestleRating Factors 3/10/2016SU5 King County Department of Natural Resources and Parks
Shear Operating
Span StringerTenth Point
Begin
Tenth Point
EndA VDL (lb) VLL (lb) fDL fLL RF RF < 1.0?
1 A 0.00 0.47 133 7651 8778 57.53 66.00 2.47
1 D 0.28 0.53 133 3576 7138 26.89 53.67 3.61
2 B 0.00 0.13 144 7651 8778 53.13 60.96 2.75
3 A 0.33 0.67 126 2588 6317 20.54 50.14 3.99
3 C 0.87 1.00 144 7651 8778 53.13 60.96 2.75
3 D 0.00 0.00 144 7651 0 53.13 0.00 1.00
3 F 0.00 0.00 153 7651 0 50.01 0.00 1.00
4 A 0.06 0.94 126 7651 8778 60.73 69.67 2.30
4 F‐AUX 0.25 0.53 133 3576 7138 26.89 53.67 3.61
5 A 0.06 0.94 88 7651 8778 86.95 99.75 1.34
5 B 0.87 1.00 144 7651 8778 53.13 60.96 2.75
5 C 0.00 0.00 144 7651 0 53.13 0.00 1.00
5 D 0.85 1.00 133 7651 8778 57.53 66.00 2.47
5 F 1.00 1.00 153 7651 0 50.01 0.00 1.00
6 A 0.25 0.75 120 3576 7138 29.80 59.48 3.21
6 F 0.36 0.61 144 2588 6317 17.97 43.87 4.62
7 A 0.33 0.66 117 2588 6317 22.12 53.99 3.68
7 D 1.00 1.00 153 7651 0 50.01 0.00 1.00
7 F‐AUX 1.00 1.00 153 7651 0 50.01 0.00 1.00
8 A 0.33 0.66 88 2588 6317 29.41 71.79 2.67
8 B 0.87 1.00 144 7651 8778 53.13 60.96 2.75
8 F 0.36 0.61 144 2588 6317 17.97 43.87 4.62
9 D 0.72 1.00 133 7651 8778 57.53 66.00 2.47
10 A 0.00 1.00 117 7651 8778 65.40 75.03 2.07
10 F 0.40 0.60 153 2588 5280 16.91 34.51 5.91
11 A 0.33 0.67 120 2588 6317 21.56 52.64 3.79
11 D 0.00 1.00 153 7651 8778 50.01 57.37 2.98
11 F‐AUX 0.36 0.61 144 2588 6317 17.97 43.87 4.62
13 E 0.36 0.61 153 2588 6317 16.91 41.29 4.94
14 C 0.87 1.00 132.75 7651 8778 57.64 66.13 2.47
14 D 1.00 1.00 153 7651 0 50.01 0.00 1.00
15 A 0.33 0.67 117 2588 6317 22.12 53.99 3.68
15 C 0.00 0.13 132.75 7651 8778 57.64 66.13 2.47
16 C 0.81 1.00 132.75 7651 8778 57.64 66.13 2.47
17 A 0.75 1.00 117 7651 8778 65.40 75.03 2.07
18 A 0.00 0.50 117 7651 8778 65.40 75.03 2.07
18 A 0.50 1.00 132.75 7651 8778 57.64 66.13 2.47
18 C 0.81 1.00 133 7651 8778 57.53 66.00 2.47
18 D 0.00 0.00 153 7651 0 50.01 0.00 1.00
18 D 0.97 0.97 153 7651 8778 50.01 57.37 2.98
19 A 0.67 1.00 117 7651 8778 65.40 75.03 2.07
19 F‐AUX 0.36 0.61 153 2588 6317 16.91 41.29 4.94
20 A 0.33 0.67 133 2588 6317 19.46 47.50 4.24
20 D 0.97 0.97 153 7651 8778 50.01 57.37 2.98
21 A 0.87 1.00 132.75 7651 8778 57.64 66.13 2.47
21 D 0.40 0.60 153 2588 5280 16.91 34.51 5.91
22 C 1.00 1.00 153 7651 0 50.01 0.00 1.00
23 A 0.33 0.67 117 2588 6317 22.12 53.99 3.68
23 D 0.00 0.00 153 7651 0 50.01 0.00 1.00
23 D 0.00 1.00 153 7651 8778 50.01 57.37 2.98
24 A 0.00 0.50 133 7651 8778 57.53 66.00 2.47
25 A 0.33 0.67 117 2588 6317 22.12 53.99 3.68
25 A 0.87 1.00 144 7651 8778 53.13 60.96 2.75
25 D 0.36 0.61 144 2588 6317 17.97 43.87 4.62
26 A 0.33 0.67 132.75 2588 6317 19.49 47.59 4.23
Timber Stringer Load Rating
C-68
Load Rating Calculations Wilburton TrestleRating Factors 3/10/2016SU5 King County Department of Natural Resources and Parks
26 D 0.36 0.61 144 2588 6317 17.97 43.87 4.62
26 D 0.36 0.61 153 2588 6317 16.91 41.29 4.94
27 A 0.40 0.80 132.75 3576 7138 26.94 53.77 3.61
27 C 0.87 1.00 132.75 7651 8778 57.64 66.13 2.47
28 A 0.20 0.80 132.75 3576 7138 26.94 53.77 3.61
28 B 0.00 1.00 144 7651 8778 53.13 60.96 2.75
29 A 0.00 0.19 132.75 7651 8778 57.64 66.13 2.47
29 A 0.70 1.00 126 7651 8778 60.73 69.67 2.30
29 D 0.85 0.97 133 7651 8778 57.53 66.00 2.47
30 A 0.00 0.13 132.75 7651 8778 57.64 66.13 2.47
30 A 0.30 0.80 133 3576 7138 26.89 53.67 3.61
31 A 0.87 1.00 132.75 7651 8778 57.64 66.13 2.47
32 A 0.00 1.00 144 7651 8778 53.13 60.96 2.75
32 B 0.00 1.00 144 7651 8778 53.13 60.96 2.75
32 F‐AUX 0.00 0.19 144 7651 8778 53.13 60.96 2.75
34 C 0.87 1.00 144 7651 8778 53.13 60.96 2.75
35 A 0.10 0.60 133 4769 8778 35.85 66.00 2.80
35 C 0.00 0.13 144 7651 8778 53.13 60.96 2.75
37 C 0.40 0.60 153 2588 5280 16.91 34.51 5.91
38 A 0.50 1.00 88 7651 8778 86.95 99.75 1.34
38 C 0.00 1.00 153 7651 8778 50.01 57.37 2.98
39 A‐AUX 0.33 0.67 144 2588 6317 17.97 43.87 4.62
39 F 0.00 1.00 153 7651 8778 50.01 57.37 2.98
41 D 0.00 0.00 153 7651 8778 50.01 57.37 2.98
41 A 0.50 0.50 153 2588 5063 16.91 33.09 6.16
42 C 0.00 1.00 153 7651 8778 50.01 57.37 2.98
43 A 0.75 1.00 144 7651 8778 53.13 60.96 2.75
44 A 0.50 1.00 88 7651 8778 86.95 99.75 1.34
44 F 0.82 0.97 133 7651 8778 57.53 66.00 2.47
45 A 0.00 0.25 133 7651 8778 57.53 66.00 2.47
51 D 0.01 0.02 153 7651 8778 50.01 57.37 2.98
52 D 0.01 0.02 153 7651 8778 50.01 57.37 2.98
53 F 0.66 0.97 144 7651 8778 53.13 60.96 2.75
54 A 0.25 0.50 133 3576 7138 26.89 53.67 3.61
55 A‐AUX 0.00 1.00 153 7651 8778 50.01 57.37 2.98
55 C 0.00 0.13 144 7651 8778 53.13 60.96 2.75
55 C 0.00 1.00 153 7651 8778 50.01 57.37 2.98
55 C 0.87 1.00 144 7651 8778 53.13 60.96 2.75
56 A 0.37 0.63 133 2588 6317 19.46 47.50 4.24
57 A 0.00 1.00 120 7651 8778 63.76 73.15 2.15
58 A‐AUX 0.00 1.00 153 7651 8778 50.01 57.37 2.98
58 C 0.00 1.00 153 7651 8778 50.01 57.37 2.98
59 A 0.00 0.19 132.75 7651 8778 57.64 66.13 2.47
59 A 0.25 1.00 132.75 7651 8778 57.64 66.13 2.47
60 C 0.00 1.00 153 7651 8778 50.01 57.37 2.98
61 A 0.44 0.57 120 2588 5280 21.56 44.00 4.53
61 D 0.50 0.50 153 2588 5063 16.91 33.09 6.16
61 D 0.85 0.97 144 7651 8778 53.13 60.96 2.75
62 A 0.00 0.19 133 7651 8778 57.53 66.00 2.47
62 D 0.97 0.97 153 7651 8778 50.01 57.37 2.98
63 F 0.50 0.50 153 2588 5063 16.91 33.09 6.16
NEW STRINGER ‐ 0.00 1.00 153 7651 8778 50.01 57.37 2.98
SEV. CTR. ROT 0 0.00 1.00 88 7651 8778 86.95 99.75 1.34
SEV. TOP ROT 0 0.00 1.00 117 7651 8778 65.40 75.03 2.07
ADV. CTR. ROT ‐ 0.00 1.00 120 7651 8778 63.76 73.15 2.15
ADV. TOP ROT ‐ 0.00 1.00 126 7651 8778 60.73 69.67 2.30
MOD. CTR. ROT ‐ 0.00 1.00 133 7651 8778 57.53 66.00 2.47
MOD. TOP ROT ‐ 0.00 1.00 132.75 7651 8778 57.64 66.13 2.47
MINOR CTR. ROT ‐ 0.00 1.00 144 7651 8778 53.13 60.96 2.75
MINOR TOP ROT ‐ 0.00 1.00 144 7651 8778 53.13 60.96 2.75
MIN RATING FACTOR 1.00
NO. STRINGERS WITH FACTOR < 1.0 0
Timber Stringer Load Rating
C-69
Load Rating Calculations Wilburton TrestleRating Factors 3/10/2016AASHTO H10 King County Department of Natural Resources and Parks
Shears and Moments:
LL Forces for Load Rating Calcs Location Shear Moment
0.0 16330 286800.1 14000 266900.2 12000 457500.3 11000 514700.4 9935 590950.5 9870 610000.6 9935 590950.7 11000 514700.8 12000 457500.9 14000 266901.0 16330 28680
Recall Dead Load ForcesLocation Shear Moment
0 25505 811910.1 15895 415780.2 11921 492750.3 7948 646740.4 6901 739130.5 8626 769930.6 6901 739130.7 7948 646740.8 11921 492750.9 15895 415781 25505 81191
‐50000
‐30000
‐10000
10000
30000
50000
70000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Worst Case Shear and Moment
Series3 Series4
0
10000
20000
30000
40000
50000
60000
70000
80000
90000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Recall Dead Load Forces For Load Rating Calcs Series3
Series4
Timber Stringer Load Rating
C-70
Load Rating Calculations Wilburton TrestleRating Factors 3/10/2016AASHTO H10 King County Department of Natural Resources and Parks
Rating Factors:
Flexure Inventory
Span StringerTenth Point
Begin
Tenth Point
EndS MDL (lb*in)* MLL (lb*in)* fDL fLL RF RF < 1.0?
1 A 0.00 0.47 413.89 194859 152500 470.80 368.45 3.46
1 D 0.28 0.53 413.89 184782 152500 446.45 368.45 3.52
2 B 0.00 0.13 400.17 194859 114375 486.94 285.82 4.40
3 A 0.33 0.67 337.50 184782 152500 547.50 451.85 2.65
3 C 0.87 1.00 400.17 194859 114375 486.94 285.82 4.40
3 D 0.00 0.00 426.35 194859 71700 457.04 168.17 7.66
3 F 0.00 0.00 433.50 194859 71700 449.50 165.40 7.83
4 A 0.06 0.94 337.50 194859 152500 577.36 451.85 2.58
4 F‐AUX 0.25 0.53 413.89 184782 152500 446.45 368.45 3.52
5 A 0.06 0.94 325.80 194859 152500 598.09 468.07 2.45
5 B 0.87 1.00 400.17 194859 114375 486.94 285.82 4.40
5 C 0.00 0.00 426.35 194859 71700 457.04 168.17 7.66
5 D 0.85 1.00 413.89 194859 114375 470.80 276.34 4.61
5 F 1.00 1.00 433.50 194859 71700 449.50 165.40 7.83
6 A 0.25 0.75 394.35 184782 152500 468.57 386.71 3.30
6 F 0.36 0.61 426.35 184782 152500 433.40 357.68 3.67
7 A 0.33 0.66 308.17 184782 152500 599.62 494.86 2.31
7 D 1.00 1.00 433.50 194859 71700 449.50 165.40 7.83
7 F‐AUX 1.00 1.00 433.50 194859 71700 449.50 165.40 7.83
8 A 0.33 0.66 325.80 184782 152500 567.16 468.07 2.52
8 B 0.87 1.00 400.17 194859 114375 486.94 285.82 4.40
8 F 0.36 0.61 400.17 184782 152500 461.76 381.09 3.37
9 D 0.72 1.00 413.89 194859 128675 470.80 310.89 4.10
10 A 0.00 1.00 308.17 194859 152500 632.32 494.86 2.25
10 F 0.40 0.60 433.50 184782 152500 426.26 351.79 3.75
11 A 0.33 0.67 394.35 184782 152500 468.57 386.71 3.30
11 D 0.00 1.00 433.50 194859 152500 449.50 351.79 3.68
11 F‐AUX 0.36 0.61 400.17 184782 152500 461.76 381.09 3.37
13 E 0.36 0.61 433.50 184782 152500 426.26 351.79 3.75
14 C 0.87 1.00 360.38 194859 114375 540.71 317.38 3.79
14 D 1.00 1.00 433.50 194859 71700 449.50 165.40 7.83
15 A 0.33 0.67 308.17 184782 152500 599.62 494.86 2.31
15 C 0.00 0.13 360.38 194859 114375 540.71 317.38 3.79
16 C 0.81 1.00 360.38 194859 114375 540.71 317.38 3.79
17 A 0.75 1.00 308.17 194859 128675 632.32 417.55 2.66
18 A 0.00 0.50 308.17 194859 152500 632.32 494.86 2.25
18 A 0.50 1.00 360.38 194859 152500 540.71 423.17 2.84
18 C 0.81 1.00 413.89 194859 114375 470.80 276.34 4.61
18 D 0.00 0.00 433.50 194859 71700 449.50 165.40 7.83
18 D 0.97 0.97 433.50 194859 71700 449.50 165.40 7.83
19 A 0.67 1.00 308.17 194859 147738 632.32 479.41 2.32
19 F‐AUX 0.36 0.61 433.50 184782 152500 426.26 351.79 3.75
20 A 0.33 0.67 413.89 184782 152500 446.45 368.45 3.52
20 D 0.97 0.97 433.50 194859 71700 449.50 165.40 7.83
21 A 0.87 1.00 360.38 194859 114375 540.71 317.38 3.79
21 D 0.40 0.60 433.50 184782 152500 426.26 351.79 3.75
22 C 1.00 1.00 433.50 194859 71700 449.50 165.40 7.83
23 A 0.33 0.67 308.17 184782 152500 599.62 494.86 2.31
23 D 0.00 0.00 433.50 194859 71700 449.50 165.40 7.83
23 D 0.00 1.00 433.50 194859 152500 449.50 351.79 3.68
24 A 0.00 0.50 413.89 194859 152500 470.80 368.45 3.46
25 A 0.33 0.67 308.17 184782 152500 599.62 494.86 2.31
25 A 0.87 1.00 400.17 194859 114375 486.94 285.82 4.40
25 D 0.36 0.61 426.35 184782 152500 433.40 357.68 3.67
Timber Stringer Load Rating
C-71
Load Rating Calculations Wilburton TrestleRating Factors 3/10/2016AASHTO H10 King County Department of Natural Resources and Parks
26 A 0.33 0.67 360.38 184782 152500 512.75 423.17 2.91
26 D 0.36 0.61 426.35 184782 152500 433.40 357.68 3.67
26 D 0.36 0.61 433.50 184782 152500 426.26 351.79 3.75
27 A 0.40 0.80 360.38 184782 152500 512.75 423.17 2.91
27 C 0.87 1.00 360.38 194859 114375 540.71 317.38 3.79
28 A 0.20 0.80 360.38 184782 152500 512.75 423.17 2.91
28 B 0.00 1.00 400.17 194859 152500 486.94 381.09 3.30
29 A 0.00 0.19 360.38 194859 114375 540.71 317.38 3.79
29 A 0.70 1.00 337.50 194859 128675 577.36 381.26 3.06
29 D 0.85 0.97 413.89 194859 114375 470.80 276.34 4.61
30 A 0.00 0.13 360.38 194859 114375 540.71 317.38 3.79
30 A 0.30 0.80 413.89 184782 152500 446.45 368.45 3.52
31 A 0.87 1.00 360.38 194859 114375 540.71 317.38 3.79
32 A 0.00 1.00 400.17 194859 152500 486.94 381.09 3.30
32 B 0.00 1.00 400.17 194859 152500 486.94 381.09 3.30
32 F‐AUX 0.00 0.19 400.17 194859 114375 486.94 285.82 4.40
34 C 0.87 1.00 400.17 194859 114375 486.94 285.82 4.40
35 A 0.10 0.60 413.89 184782 152500 446.45 368.45 3.52
35 C 0.00 0.13 400.17 194859 114375 486.94 285.82 4.40
37 C 0.40 0.60 433.50 184782 152500 426.26 351.79 3.75
38 A 0.50 1.00 325.80 194859 152500 598.09 468.07 2.45
38 C 0.00 1.00 433.50 194859 152500 449.50 351.79 3.68
39 A‐AUX 0.33 0.67 426.35 184782 152500 433.40 357.68 3.67
39 F 0.00 1.00 433.50 194859 152500 449.50 351.79 3.68
41 D 0.00 0.00 433.50 194859 71700 449.50 165.40 7.83
41 A 0.50 0.50 433.50 184782 152500 426.26 351.79 3.75
42 C 0.00 1.00 433.50 194859 152500 449.50 351.79 3.68
43 A 0.75 1.00 426.35 194859 128675 457.04 301.80 4.27
44 A 0.50 1.00 325.80 194859 152500 598.09 468.07 2.45
44 F 0.82 0.97 413.89 194859 114375 470.80 276.34 4.61
45 A 0.00 0.25 413.89 194859 128675 470.80 310.89 4.10
51 D 0.01 0.02 433.50 194859 71700 449.50 165.40 7.83
52 D 0.01 0.02 433.50 194859 71700 449.50 165.40 7.83
53 F 0.66 0.97 400.17 194859 147738 486.94 369.19 3.41
54 A 0.25 0.50 413.89 184782 152500 446.45 368.45 3.52
55 A‐AUX 0.00 1.00 433.50 194859 152500 449.50 351.79 3.68
55 C 0.00 0.13 426.35 194859 114375 457.04 268.26 4.80
55 C 0.00 1.00 433.50 194859 152500 449.50 351.79 3.68
55 C 0.87 1.00 426.35 194859 114375 457.04 268.26 4.80
56 A 0.37 0.63 413.89 184782 152500 446.45 368.45 3.52
57 A 0.00 1.00 394.35 194859 152500 494.12 386.71 3.23
58 A‐AUX 0.00 1.00 433.50 194859 152500 449.50 351.79 3.68
58 C 0.00 1.00 433.50 194859 152500 449.50 351.79 3.68
59 A 0.00 0.19 360.38 194859 114375 540.71 317.38 3.79
59 A 0.25 1.00 360.38 194859 152500 540.71 423.17 2.84
60 C 0.00 1.00 433.50 194859 152500 449.50 351.79 3.68
61 A 0.44 0.57 394.35 184782 152500 468.57 386.71 3.30
61 D 0.50 0.50 433.50 184782 152500 426.26 351.79 3.75
61 D 0.85 0.97 426.35 194859 114375 457.04 268.26 4.80
62 A 0.00 0.19 413.89 194859 114375 470.80 276.34 4.61
62 D 0.97 0.97 433.50 194859 71700 449.50 165.40 7.83
63 F 0.50 0.50 433.50 184782 152500 426.26 351.79 3.75
NEW STRINGER ‐ 0.00 1.00 433.50 194859 152500 449.50 351.79 3.68
SEV. CTR. ROT 0 0.00 1.00 325.80 194859 152500 598.09 468.07 2.45
SEV. TOP ROT 0 0.00 1.00 308.17 194859 152500 632.32 494.86 2.25
ADV. CTR. ROT ‐ 0.00 1.00 394.35 194859 152500 494.12 386.71 3.23
ADV. TOP ROT ‐ 0.00 1.00 337.50 194859 152500 577.36 451.85 2.58
MOD. CTR. ROT ‐ 0.00 1.00 413.89 194859 152500 470.80 368.45 3.46
MOD. TOP ROT ‐ 0.00 1.00 360.38 194859 152500 540.71 423.17 2.84
MIN RATING FACTOR 2.25
NO. STRINGERS WITH FACTOR < 1.0 0
Timber Stringer Load Rating
C-72
Load Rating Calculations Wilburton TrestleRating Factors 3/10/2016AASHTO H10 King County Department of Natural Resources and Parks
Shear Inventory
Span StringerTenth Point
Begin
Tenth Point
EndA VDL (lb) VLL (lb) fDL fLL RF RF < 1.0?
1 A 0.00 0.47 133 7651 4375 57.53 32.89 3.30
1 D 0.28 0.53 133 3576 3750 26.89 28.20 4.93
2 B 0.00 0.13 144 7651 4375 53.13 30.38 3.72
3 A 0.33 0.67 126 2588 3438 20.54 27.28 5.33
3 C 0.87 1.00 144 7651 4375 53.13 30.38 3.72
3 D 0.00 0.00 144 7651 0 53.13 0.00 1.00
3 F 0.00 0.00 153 7651 0 50.01 0.00 1.00
4 A 0.06 0.94 126 7651 4375 60.73 34.72 3.03
4 F‐AUX 0.25 0.53 133 3576 3750 26.89 28.20 4.93
5 A 0.06 0.94 88 7651 4375 86.95 49.72 1.59
5 B 0.87 1.00 144 7651 4375 53.13 30.38 3.72
5 C 0.00 0.00 144 7651 0 53.13 0.00 1.00
5 D 0.85 1.00 133 7651 4375 57.53 32.89 3.30
5 F 1.00 1.00 153 7651 0 50.01 0.00 1.00
6 A 0.25 0.75 120 3576 3750 29.80 31.25 4.36
6 F 0.36 0.61 144 2588 3438 17.97 23.87 6.20
7 A 0.33 0.66 117 2588 3438 22.12 29.38 4.90
7 D 1.00 1.00 153 7651 0 50.01 0.00 1.00
7 F‐AUX 1.00 1.00 153 7651 0 50.01 0.00 1.00
8 A 0.33 0.66 88 2588 3438 29.41 39.06 3.50
8 B 0.87 1.00 144 7651 4375 53.13 30.38 3.72
8 F 0.36 0.61 144 2588 3438 17.97 23.87 6.20
9 D 0.72 1.00 133 7651 4375 57.53 32.89 3.30
10 A 0.00 1.00 117 7651 4375 65.40 37.39 2.69
10 F 0.40 0.60 153 2588 3105 16.91 20.29 7.35
11 A 0.33 0.67 120 2588 3438 21.56 28.65 5.04
11 D 0.00 1.00 153 7651 4375 50.01 28.59 4.06
11 F‐AUX 0.36 0.61 144 2588 3438 17.97 23.87 6.20
13 E 0.36 0.61 153 2588 3438 16.91 22.47 6.64
14 C 0.87 1.00 132.75 7651 4375 57.64 32.96 3.29
14 D 1.00 1.00 153 7651 0 50.01 0.00 1.00
15 A 0.33 0.67 117 2588 3438 22.12 29.38 4.90
15 C 0.00 0.13 132.75 7651 4375 57.64 32.96 3.29
16 C 0.81 1.00 132.75 7651 4375 57.64 32.96 3.29
17 A 0.75 1.00 117 7651 4375 65.40 37.39 2.69
18 A 0.00 0.50 117 7651 4375 65.40 37.39 2.69
18 A 0.50 1.00 132.75 7651 4375 57.64 32.96 3.29
18 C 0.81 1.00 133 7651 4375 57.53 32.89 3.30
18 D 0.00 0.00 153 7651 0 50.01 0.00 1.00
18 D 0.97 0.97 153 7651 4375 50.01 28.59 4.06
19 A 0.67 1.00 117 7651 4375 65.40 37.39 2.69
19 F‐AUX 0.36 0.61 153 2588 3438 16.91 22.47 6.64
20 A 0.33 0.67 133 2588 3438 19.46 25.85 5.67
20 D 0.97 0.97 153 7651 4375 50.01 28.59 4.06
21 A 0.87 1.00 132.75 7651 4375 57.64 32.96 3.29
21 D 0.40 0.60 153 2588 3105 16.91 20.29 7.35
22 C 1.00 1.00 153 7651 0 50.01 0.00 1.00
23 A 0.33 0.67 117 2588 3438 22.12 29.38 4.90
23 D 0.00 0.00 153 7651 0 50.01 0.00 1.00
23 D 0.00 1.00 153 7651 4375 50.01 28.59 4.06
24 A 0.00 0.50 133 7651 4375 57.53 32.89 3.30
25 A 0.33 0.67 117 2588 3438 22.12 29.38 4.90
25 A 0.87 1.00 144 7651 4375 53.13 30.38 3.72
25 D 0.36 0.61 144 2588 3438 17.97 23.87 6.20
26 A 0.33 0.67 132.75 2588 3438 19.49 25.89 5.66
26 D 0.36 0.61 144 2588 3438 17.97 23.87 6.20
26 D 0.36 0.61 153 2588 3438 16.91 22.47 6.64
27 A 0.40 0.80 132.75 3576 3750 26.94 28.25 4.92
27 C 0.87 1.00 132.75 7651 4375 57.64 32.96 3.29
Timber Stringer Load Rating
C-73
Load Rating Calculations Wilburton TrestleRating Factors 3/10/2016AASHTO H10 King County Department of Natural Resources and Parks
28 A 0.20 0.80 132.75 3576 3750 26.94 28.25 4.92
28 B 0.00 1.00 144 7651 4375 53.13 30.38 3.72
29 A 0.00 0.19 132.75 7651 4375 57.64 32.96 3.29
29 A 0.70 1.00 126 7651 4375 60.73 34.72 3.03
29 D 0.85 0.97 133 7651 4375 57.53 32.89 3.30
30 A 0.00 0.13 132.75 7651 4375 57.64 32.96 3.29
30 A 0.30 0.80 133 3576 3750 26.89 28.20 4.93
31 A 0.87 1.00 132.75 7651 4375 57.64 32.96 3.29
32 A 0.00 1.00 144 7651 4375 53.13 30.38 3.72
32 B 0.00 1.00 144 7651 4375 53.13 30.38 3.72
32 F‐AUX 0.00 0.19 144 7651 4375 53.13 30.38 3.72
34 C 0.87 1.00 144 7651 4375 53.13 30.38 3.72
35 A 0.10 0.60 133 4769 4375 35.85 32.89 3.96
35 C 0.00 0.13 144 7651 4375 53.13 30.38 3.72
37 C 0.40 0.60 153 2588 3105 16.91 20.29 7.35
38 A 0.50 1.00 88 7651 4375 86.95 49.72 1.59
38 C 0.00 1.00 153 7651 4375 50.01 28.59 4.06
39 A‐AUX 0.33 0.67 144 2588 3438 17.97 23.87 6.20
39 F 0.00 1.00 153 7651 4375 50.01 28.59 4.06
41 D 0.00 0.00 153 7651 4375 50.01 28.59 4.06
41 A 0.50 0.50 153 2588 3084 16.91 20.16 7.40
42 C 0.00 1.00 153 7651 4375 50.01 28.59 4.06
43 A 0.75 1.00 144 7651 4375 53.13 30.38 3.72
44 A 0.50 1.00 88 7651 4375 86.95 49.72 1.59
44 F 0.82 0.97 133 7651 4375 57.53 32.89 3.30
45 A 0.00 0.25 133 7651 4375 57.53 32.89 3.30
51 D 0.01 0.02 153 7651 4375 50.01 28.59 4.06
52 D 0.01 0.02 153 7651 4375 50.01 28.59 4.06
53 F 0.66 0.97 144 7651 4375 53.13 30.38 3.72
54 A 0.25 0.50 133 3576 3750 26.89 28.20 4.93
55 A‐AUX 0.00 1.00 153 7651 4375 50.01 28.59 4.06
55 C 0.00 0.13 144 7651 4375 53.13 30.38 3.72
55 C 0.00 1.00 153 7651 4375 50.01 28.59 4.06
55 C 0.87 1.00 144 7651 4375 53.13 30.38 3.72
56 A 0.37 0.63 133 2588 3438 19.46 25.85 5.67
57 A 0.00 1.00 120 7651 4375 63.76 36.46 2.81
58 A‐AUX 0.00 1.00 153 7651 4375 50.01 28.59 4.06
58 C 0.00 1.00 153 7651 4375 50.01 28.59 4.06
59 A 0.00 0.19 132.75 7651 4375 57.64 32.96 3.29
59 A 0.25 1.00 132.75 7651 4375 57.64 32.96 3.29
60 C 0.00 1.00 153 7651 4375 50.01 28.59 4.06
61 A 0.44 0.57 120 2588 3105 21.56 25.87 5.58
61 D 0.50 0.50 153 2588 3084 16.91 20.16 7.40
61 D 0.85 0.97 144 7651 4375 53.13 30.38 3.72
62 A 0.00 0.19 133 7651 4375 57.53 32.89 3.30
62 D 0.97 0.97 153 7651 4375 50.01 28.59 4.06
63 F 0.50 0.50 153 2588 3084 16.91 20.16 7.40
NEW STRINGER ‐ 0.00 1.00 153 7651 4375 50.01 28.59 4.06
SEV. CTR. ROT 0 0.00 1.00 88 7651 4375 86.95 49.72 1.59
SEV. TOP ROT 0 0.00 1.00 117 7651 4375 65.40 37.39 2.69
ADV. CTR. ROT ‐ 0.00 1.00 120 7651 4375 63.76 36.46 2.81
ADV. TOP ROT ‐ 0.00 1.00 126 7651 4375 60.73 34.72 3.03
MOD. CTR. ROT ‐ 0.00 1.00 133 7651 4375 57.53 32.89 3.30
MOD. TOP ROT ‐ 0.00 1.00 132.75 7651 4375 57.64 32.96 3.29
MIN RATING FACTOR 1.00
NO. STRINGERS WITH FACTOR < 1.0 0
Timber Stringer Load Rating
C-74
Load Rating Calculations Wilburton TrestleRating Factors 3/10/201690 PSF King County Department of Natural Resources and Parks
Shears and Moments:
LL Forces for Load Rating Calcs Location Shear Moment
0.0 9610 358700.1 7360 184800.2 5400 274700.3 5400 274700.4 3750 343400.5 4100 366300.6 4100 343400.7 5670 274700.8 7540 274700.9 7540 184801.0 9650 35870
Recall Dead Load ForcesLocation Shear Moment
0 25505 811910.1 15895 415780.2 11921 492750.3 7948 646740.4 6901 739130.5 8626 769930.6 6901 739130.7 7948 646740.8 11921 492750.9 15895 415781 25505 81191
‐50000
‐40000
‐30000
‐20000
‐10000
0
10000
20000
30000
40000
50000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Worst Case Shear and Moment
Series3
Series4
0
10000
20000
30000
40000
50000
60000
70000
80000
90000
0.0 0.2 0.4 0.6 0.8 1.0
Force (LB, LB‐FT)
Span Point
Recall Dead Load Forces For Load Rating Calcs Series3
Series4
Timber Stringer Load Rating
C-75
Load Rating Calculations Wilburton TrestleRating Factors 3/10/201690 PSF King County Department of Natural Resources and Parks
Rating Factors:
Flexure Inventory
Span StringerTenth Point
Begin
Tenth Point
EndS MDL (lb*in)* MLL (lb*in)* fDL fLL RF RF < 1.0?
1 A 0.00 0.47 413.89 194859 91575 470.80 221.25 5.76
1 D 0.28 0.53 413.89 184782 91575 446.45 221.25 5.87
2 B 0.00 0.13 400.17 194859 89675 486.94 224.09 5.61
3 A 0.33 0.67 337.50 184782 91575 547.50 271.33 4.41
3 C 0.87 1.00 400.17 194859 89675 486.94 224.09 5.61
3 D 0.00 0.00 426.35 194859 89675 457.04 210.33 6.12
3 F 0.00 0.00 433.50 194859 89675 449.50 206.86 6.26
4 A 0.06 0.94 337.50 194859 91575 577.36 271.33 4.30
4 F‐AUX 0.25 0.53 413.89 184782 91575 446.45 221.25 5.87
5 A 0.06 0.94 325.80 194859 91575 598.09 281.07 4.08
5 B 0.87 1.00 400.17 194859 89675 486.94 224.09 5.61
5 C 0.00 0.00 426.35 194859 89675 457.04 210.33 6.12
5 D 0.85 1.00 413.89 194859 89675 470.80 216.66 5.88
5 F 1.00 1.00 433.50 194859 89675 449.50 206.86 6.26
6 A 0.25 0.75 394.35 184782 91575 468.57 232.22 5.49
6 F 0.36 0.61 426.35 184782 91575 433.40 214.79 6.10
7 A 0.33 0.66 308.17 184782 91575 599.62 297.16 3.85
7 D 1.00 1.00 433.50 194859 89675 449.50 206.86 6.26
7 F‐AUX 1.00 1.00 433.50 194859 89675 449.50 206.86 6.26
8 A 0.33 0.66 325.80 184782 91575 567.16 281.07 4.19
8 B 0.87 1.00 400.17 194859 89675 486.94 224.09 5.61
8 F 0.36 0.61 400.17 184782 91575 461.76 228.84 5.61
9 D 0.72 1.00 413.89 194859 89675 470.80 216.66 5.88
10 A 0.00 1.00 308.17 194859 91575 632.32 297.16 3.74
10 F 0.40 0.60 433.50 184782 91575 426.26 211.25 6.24
11 A 0.33 0.67 394.35 184782 91575 468.57 232.22 5.49
11 D 0.00 1.00 433.50 194859 91575 449.50 211.25 6.13
11 F‐AUX 0.36 0.61 400.17 184782 91575 461.76 228.84 5.61
13 E 0.36 0.61 433.50 184782 91575 426.26 211.25 6.24
14 C 0.87 1.00 360.38 194859 89675 540.71 248.84 4.84
14 D 1.00 1.00 433.50 194859 89675 449.50 206.86 6.26
15 A 0.33 0.67 308.17 184782 91575 599.62 297.16 3.85
15 C 0.00 0.13 360.38 194859 89675 540.71 248.84 4.84
16 C 0.81 1.00 360.38 194859 89675 540.71 248.84 4.84
17 A 0.75 1.00 308.17 194859 89675 632.32 291.00 3.82
18 A 0.00 0.50 308.17 194859 91575 632.32 297.16 3.74
18 A 0.50 1.00 360.38 194859 91575 540.71 254.11 4.74
18 C 0.81 1.00 413.89 194859 89675 470.80 216.66 5.88
18 D 0.00 0.00 433.50 194859 89675 449.50 206.86 6.26
18 D 0.97 0.97 433.50 194859 89675 449.50 206.86 6.26
19 A 0.67 1.00 308.17 194859 89675 632.32 291.00 3.82
19 F‐AUX 0.36 0.61 433.50 184782 91575 426.26 211.25 6.24
20 A 0.33 0.67 413.89 184782 91575 446.45 221.25 5.87
20 D 0.97 0.97 433.50 194859 89675 449.50 206.86 6.26
21 A 0.87 1.00 360.38 194859 89675 540.71 248.84 4.84
21 D 0.40 0.60 433.50 184782 91575 426.26 211.25 6.24
22 C 1.00 1.00 433.50 194859 89675 449.50 206.86 6.26
23 A 0.33 0.67 308.17 184782 91575 599.62 297.16 3.85
23 D 0.00 0.00 433.50 194859 89675 449.50 206.86 6.26
23 D 0.00 1.00 433.50 194859 91575 449.50 211.25 6.13
24 A 0.00 0.50 413.89 194859 91575 470.80 221.25 5.76
25 A 0.33 0.67 308.17 184782 91575 599.62 297.16 3.85
25 A 0.87 1.00 400.17 194859 89675 486.94 224.09 5.61
25 D 0.36 0.61 426.35 184782 91575 433.40 214.79 6.10
Timber Stringer Load Rating
C-76
Load Rating Calculations Wilburton TrestleRating Factors 3/10/201690 PSF King County Department of Natural Resources and Parks
26 A 0.33 0.67 360.38 184782 91575 512.75 254.11 4.85
26 D 0.36 0.61 426.35 184782 91575 433.40 214.79 6.10
26 D 0.36 0.61 433.50 184782 91575 426.26 211.25 6.24
27 A 0.40 0.80 360.38 184782 91575 512.75 254.11 4.85
27 C 0.87 1.00 360.38 194859 89675 540.71 248.84 4.84
28 A 0.20 0.80 360.38 184782 91575 512.75 254.11 4.85
28 B 0.00 1.00 400.17 194859 91575 486.94 228.84 5.50
29 A 0.00 0.19 360.38 194859 89675 540.71 248.84 4.84
29 A 0.70 1.00 337.50 194859 89675 577.36 265.70 4.39
29 D 0.85 0.97 413.89 194859 89675 470.80 216.66 5.88
30 A 0.00 0.13 360.38 194859 89675 540.71 248.84 4.84
30 A 0.30 0.80 413.89 184782 91575 446.45 221.25 5.87
31 A 0.87 1.00 360.38 194859 89675 540.71 248.84 4.84
32 A 0.00 1.00 400.17 194859 91575 486.94 228.84 5.50
32 B 0.00 1.00 400.17 194859 91575 486.94 228.84 5.50
32 F‐AUX 0.00 0.19 400.17 194859 89675 486.94 224.09 5.61
34 C 0.87 1.00 400.17 194859 89675 486.94 224.09 5.61
35 A 0.10 0.60 413.89 184782 91575 446.45 221.25 5.87
35 C 0.00 0.13 400.17 194859 89675 486.94 224.09 5.61
37 C 0.40 0.60 433.50 184782 91575 426.26 211.25 6.24
38 A 0.50 1.00 325.80 194859 91575 598.09 281.07 4.08
38 C 0.00 1.00 433.50 194859 91575 449.50 211.25 6.13
39 A‐AUX 0.33 0.67 426.35 184782 91575 433.40 214.79 6.10
39 F 0.00 1.00 433.50 194859 91575 449.50 211.25 6.13
41 D 0.00 0.00 433.50 194859 89675 449.50 206.86 6.26
41 A 0.50 0.50 433.50 184782 91575 426.26 211.25 6.24
42 C 0.00 1.00 433.50 194859 91575 449.50 211.25 6.13
43 A 0.75 1.00 426.35 194859 89675 457.04 210.33 6.12
44 A 0.50 1.00 325.80 194859 91575 598.09 281.07 4.08
44 F 0.82 0.97 413.89 194859 89675 470.80 216.66 5.88
45 A 0.00 0.25 413.89 194859 89675 470.80 216.66 5.88
51 D 0.01 0.02 433.50 194859 89675 449.50 206.86 6.26
52 D 0.01 0.02 433.50 194859 89675 449.50 206.86 6.26
53 F 0.66 0.97 400.17 194859 89675 486.94 224.09 5.61
54 A 0.25 0.50 413.89 184782 91575 446.45 221.25 5.87
55 A‐AUX 0.00 1.00 433.50 194859 91575 449.50 211.25 6.13
55 C 0.00 0.13 426.35 194859 89675 457.04 210.33 6.12
55 C 0.00 1.00 433.50 194859 91575 449.50 211.25 6.13
55 C 0.87 1.00 426.35 194859 89675 457.04 210.33 6.12
56 A 0.37 0.63 413.89 184782 91575 446.45 221.25 5.87
57 A 0.00 1.00 394.35 194859 91575 494.12 232.22 5.38
58 A‐AUX 0.00 1.00 433.50 194859 91575 449.50 211.25 6.13
58 C 0.00 1.00 433.50 194859 91575 449.50 211.25 6.13
59 A 0.00 0.19 360.38 194859 89675 540.71 248.84 4.84
59 A 0.25 1.00 360.38 194859 91575 540.71 254.11 4.74
60 C 0.00 1.00 433.50 194859 91575 449.50 211.25 6.13
61 A 0.44 0.57 394.35 184782 91575 468.57 232.22 5.49
61 D 0.50 0.50 433.50 184782 91575 426.26 211.25 6.24
61 D 0.85 0.97 426.35 194859 89675 457.04 210.33 6.12
62 A 0.00 0.19 413.89 194859 89675 470.80 216.66 5.88
62 D 0.97 0.97 433.50 194859 89675 449.50 206.86 6.26
63 F 0.50 0.50 433.50 184782 91575 426.26 211.25 6.24
NEW STRINGER ‐ 0.00 1.00 433.50 194859 91575 449.50 211.25 6.13
SEV. CTR. ROT 0 0.00 1.00 325.80 194859 91575 598.09 281.07 4.08
SEV. TOP ROT 0 0.00 1.00 308.17 194859 91575 632.32 297.16 3.74
ADV. CTR. ROT ‐ 0.00 1.00 394.35 194859 91575 494.12 232.22 5.38
ADV. TOP ROT ‐ 0.00 1.00 337.50 194859 91575 577.36 271.33 4.30
MOD. CTR. ROT ‐ 0.00 1.00 413.89 194859 91575 470.80 221.25 5.76
MOD. TOP ROT ‐ 0.00 1.00 360.38 194859 91575 540.71 254.11 4.74
MIN RATING FACTOR 3.74
NO. STRINGERS WITH FACTOR < 1.0 0
Timber Stringer Load Rating
C-77
Load Rating Calculations Wilburton TrestleRating Factors 3/10/201690 PSF King County Department of Natural Resources and Parks
Shear Inventory
Span StringerTenth Point
Begin
Tenth Point
EndA VDL (lb) VLL (lb) fDL fLL RF RF < 1.0?
1 A 0.00 0.47 133 7651 2300 57.53 17.29 6.27
1 D 0.28 0.53 133 3576 1688 26.89 12.69 10.97
2 B 0.00 0.13 144 7651 2300 53.13 15.97 7.07
3 A 0.33 0.67 126 2588 1772 20.54 14.06 10.35
3 C 0.87 1.00 144 7651 2356 53.13 16.36 6.90
3 D 0.00 0.00 144 7651 0 53.13 0.00 1.00
3 F 0.00 0.00 153 7651 0 50.01 0.00 1.00
4 A 0.06 0.94 126 7651 2356 60.73 18.70 5.63
4 F‐AUX 0.25 0.53 133 3576 1688 26.89 12.69 10.97
5 A 0.06 0.94 88 7651 2356 86.95 26.78 2.95
5 B 0.87 1.00 144 7651 2356 53.13 16.36 6.90
5 C 0.00 0.00 144 7651 0 53.13 0.00 1.00
5 D 0.85 1.00 133 7651 2356 57.53 17.72 6.12
5 F 1.00 1.00 153 7651 0 50.01 0.00 1.00
6 A 0.25 0.75 120 3576 2356 29.80 19.64 6.94
6 F 0.36 0.61 144 2588 1772 17.97 12.30 12.03
7 A 0.33 0.66 117 2588 1772 22.12 15.14 9.50
7 D 1.00 1.00 153 7651 0 50.01 0.00 1.00
7 F‐AUX 1.00 1.00 153 7651 0 50.01 0.00 1.00
8 A 0.33 0.66 88 2588 1772 29.41 20.13 6.79
8 B 0.87 1.00 144 7651 2356 53.13 16.36 6.90
8 F 0.36 0.61 144 2588 1772 17.97 12.30 12.03
9 D 0.72 1.00 133 7651 2356 57.53 17.72 6.12
10 A 0.00 1.00 117 7651 2356 65.40 20.14 5.00
10 F 0.40 0.60 153 2588 1281 16.91 8.37 17.81
11 A 0.33 0.67 120 2588 1772 21.56 14.77 9.78
11 D 0.00 1.00 153 7651 2356 50.01 15.40 7.53
11 F‐AUX 0.36 0.61 144 2588 1772 17.97 12.30 12.03
13 E 0.36 0.61 153 2588 1772 16.91 11.58 12.88
14 C 0.87 1.00 132.75 7651 2356 57.64 17.75 6.11
14 D 1.00 1.00 153 7651 0 50.01 0.00 1.00
15 A 0.33 0.67 117 2588 1772 22.12 15.14 9.50
15 C 0.00 0.13 132.75 7651 2300 57.64 17.33 6.26
16 C 0.81 1.00 132.75 7651 2356 57.64 17.75 6.11
17 A 0.75 1.00 117 7651 2356 65.40 20.14 5.00
18 A 0.00 0.50 117 7651 2300 65.40 19.66 5.12
18 A 0.50 1.00 132.75 7651 2356 57.64 17.75 6.11
18 C 0.81 1.00 133 7651 2356 57.53 17.72 6.12
18 D 0.00 0.00 153 7651 0 50.01 0.00 1.00
18 D 0.97 0.97 153 7651 2356 50.01 15.40 7.53
19 A 0.67 1.00 117 7651 2356 65.40 20.14 5.00
19 F‐AUX 0.36 0.61 153 2588 1772 16.91 11.58 12.88
20 A 0.33 0.67 133 2588 1772 19.46 13.32 11.00
20 D 0.97 0.97 153 7651 2356 50.01 15.40 7.53
21 A 0.87 1.00 132.75 7651 2356 57.64 17.75 6.11
21 D 0.40 0.60 153 2588 1281 16.91 8.37 17.81
22 C 1.00 1.00 153 7651 0 50.01 0.00 1.00
23 A 0.33 0.67 117 2588 1772 22.12 15.14 9.50
23 D 0.00 0.00 153 7651 0 50.01 0.00 1.00
23 D 0.00 1.00 153 7651 2356 50.01 15.40 7.53
24 A 0.00 0.50 133 7651 2300 57.53 17.29 6.27
25 A 0.33 0.67 117 2588 1772 22.12 15.14 9.50
25 A 0.87 1.00 144 7651 2356 53.13 16.36 6.90
25 D 0.36 0.61 144 2588 1772 17.97 12.30 12.03
26 A 0.33 0.67 132.75 2588 1772 19.49 13.35 10.98
26 D 0.36 0.61 144 2588 1772 17.97 12.30 12.03
26 D 0.36 0.61 153 2588 1772 16.91 11.58 12.88
27 A 0.40 0.80 132.75 3576 2356 26.94 17.75 7.84
27 C 0.87 1.00 132.75 7651 2356 57.64 17.75 6.11
Timber Stringer Load Rating
C-78
Load Rating Calculations Wilburton TrestleRating Factors 3/10/201690 PSF King County Department of Natural Resources and Parks
28 A 0.20 0.80 132.75 3576 2356 26.94 17.75 7.84
28 B 0.00 1.00 144 7651 2356 53.13 16.36 6.90
29 A 0.00 0.19 132.75 7651 2300 57.64 17.33 6.26
29 A 0.70 1.00 126 7651 2356 60.73 18.70 5.63
29 D 0.85 0.97 133 7651 2356 57.53 17.72 6.12
30 A 0.00 0.13 132.75 7651 2300 57.64 17.33 6.26
30 A 0.30 0.80 133 3576 2356 26.89 17.72 7.85
31 A 0.87 1.00 132.75 7651 2356 57.64 17.75 6.11
32 A 0.00 1.00 144 7651 2356 53.13 16.36 6.90
32 B 0.00 1.00 144 7651 2356 53.13 16.36 6.90
32 F‐AUX 0.00 0.19 144 7651 2300 53.13 15.97 7.07
34 C 0.87 1.00 144 7651 2356 53.13 16.36 6.90
35 A 0.10 0.60 133 4769 2300 35.85 17.29 7.53
35 C 0.00 0.13 144 7651 2300 53.13 15.97 7.07
37 C 0.40 0.60 153 2588 1281 16.91 8.37 17.81
38 A 0.50 1.00 88 7651 2356 86.95 26.78 2.95
38 C 0.00 1.00 153 7651 2356 50.01 15.40 7.53
39 A‐AUX 0.33 0.67 144 2588 1772 17.97 12.30 12.03
39 F 0.00 1.00 153 7651 2356 50.01 15.40 7.53
41 D 0.00 0.00 153 7651 2300 50.01 15.03 7.72
41 A 0.50 0.50 153 2588 1281 16.91 8.37 17.81
42 C 0.00 1.00 153 7651 2356 50.01 15.40 7.53
43 A 0.75 1.00 144 7651 2356 53.13 16.36 6.90
44 A 0.50 1.00 88 7651 2356 86.95 26.78 2.95
44 F 0.82 0.97 133 7651 2356 57.53 17.72 6.12
45 A 0.00 0.25 133 7651 2300 57.53 17.29 6.27
51 D 0.01 0.02 153 7651 2300 50.01 15.03 7.72
52 D 0.01 0.02 153 7651 2300 50.01 15.03 7.72
53 F 0.66 0.97 144 7651 2356 53.13 16.36 6.90
54 A 0.25 0.50 133 3576 1688 26.89 12.69 10.97
55 A‐AUX 0.00 1.00 153 7651 2356 50.01 15.40 7.53
55 C 0.00 0.13 144 7651 2300 53.13 15.97 7.07
55 C 0.00 1.00 153 7651 2356 50.01 15.40 7.53
55 C 0.87 1.00 144 7651 2356 53.13 16.36 6.90
56 A 0.37 0.63 133 2588 1772 19.46 13.32 11.00
57 A 0.00 1.00 120 7651 2356 63.76 19.64 5.21
58 A‐AUX 0.00 1.00 153 7651 2356 50.01 15.40 7.53
58 C 0.00 1.00 153 7651 2356 50.01 15.40 7.53
59 A 0.00 0.19 132.75 7651 2300 57.64 17.33 6.26
59 A 0.25 1.00 132.75 7651 2356 57.64 17.75 6.11
60 C 0.00 1.00 153 7651 2356 50.01 15.40 7.53
61 A 0.44 0.57 120 2588 1281 21.56 10.68 13.53
61 D 0.50 0.50 153 2588 1281 16.91 8.37 17.81
61 D 0.85 0.97 144 7651 2356 53.13 16.36 6.90
62 A 0.00 0.19 133 7651 2300 57.53 17.29 6.27
62 D 0.97 0.97 153 7651 2356 50.01 15.40 7.53
63 F 0.50 0.50 153 2588 1281 16.91 8.37 17.81
NEW STRINGER ‐ 0.00 1.00 153 7651 2356 50.01 15.40 7.53
SEV. CTR. ROT 0 0.00 1.00 88 7651 2356 86.95 26.78 2.95
SEV. TOP ROT 0 0.00 1.00 117 7651 2356 65.40 20.14 5.00
ADV. CTR. ROT ‐ 0.00 1.00 120 7651 2356 63.76 19.64 5.21
ADV. TOP ROT ‐ 0.00 1.00 126 7651 2356 60.73 18.70 5.63
MOD. CTR. ROT ‐ 0.00 1.00 133 7651 2356 57.53 17.72 6.12
MOD. TOP ROT ‐ 0.00 1.00 132.75 7651 2356 57.64 17.75 6.11
MIN RATING FACTOR 1.00
NO. STRINGERS WITH FACTOR < 1.0 0
Timber Stringer Load Rating
C-79
Wilburton Trestle, King County, WABridge Load Rating ‐ Piles
Bridge Name: Wilburton Trestle
Co. Bridge Number: n/a
Year Built: Unknown, significant rehabs around 1940 and 1970
Owner: King County Department of Parks and Natural Resources
Description:
Load Rating Method: Allowable Stress Rating
References: AASHTO Manual for Bridge Evaluation (MBE) 2nd Edition, AASHTO Standard Specifications
for Highway Bridges, 17th Editions, WSDOT Bridge Design Manual Chapter 13
AASHTO LRFD Guide Specifications for the design of pedestrain bridges
Load Rating Comments:
Bent load ratings are shown in three ways
Per bent with unreduced capacities and reduced area per pile defect
Per bent with reduced capacities (smaller depth and larger unbraced length) and reduced area per pile defect
Per Pile with reduced capacities (smaller depth and larger unbraced length) for Advanced and Severe Rot Piles
The load rating was done at the inventory and operating level. Inventory loading includes a 90psf uniform live load and an H10
design vehicle. Operating level load rating vehicles are informed by King County maintenance trucks, repressented by three
vehicles: SU5, Special 1 (SP1) and Special 2 (SP2). More info on the design trucks is included under the loading section.
Key assumptions include:
1) distributing all loads equally to all piles
2) using a load duration factor of 1.15,
3) and an effective column length factor of 1.0 with the assumption that the bottom is fixed at about 3' below ground. The piles are
pinned at the top to the pile caps and fixed at the bottom by being driven into the ground.
4) Even distribution to all bent piles except at the north end where legacy structure is no currently loaded.
5) Proposed dead weight assuming a 14' wide concrete deck shown herein.
The trestle consists of 59 timber trestle spans and one steel girder span with a total length of
approximately 975 feet. The timber trestle spans are supported on driven timber pilings. The steel
girder span is supported on tall concrete piers. The trestle crosses over SE 9th Street, Richards Creek,
and SE 8th Street. The south end of the bridge has a slight horizontal curve through about Bent 9 with
a straight alignment beyond. The bridge deck is roughly 100 feet above ground at its maximum
height.
C-80
Load Rating Calculations Wilburton Trestle
Timber Member Material and Section Properties 12/6/15
King County Department of Parks and Natural Resources
Summarize inspection findings and calculate remaining section available for compression
Use the smaller of these two for capacity evaluation.
Rate each bent as a conglomerate structure, when significant defects (advanced or higher) exist on adjacent piles look at individual members on a case by case basis.
Bridge Data:
Material: Assume Douglas Fir No. 1 for members installed after to 1955 and grade and species are unknown; Concurs with past reports and site investigation
(WSDOT BDM 13.2.14)
Piles:
Diameter, D (in) see below Measured in direction of bridge
Steel Pile Cap:
Flange width (in) 12.13
Depth (in) 12.13
Section Property Calculation for Circular Members :
D Solid Circular: S = *D3/32
D1 Center rot symmetrical aboutS = *(D4‐D14)/(32*D)
Section Property Calculation for Rectangular Members (excerpt from WSDOT Inspection Manual 2002):
Bent Piles and Posts
Member ID
(Bent ‐ Pile)# Levels # Piles D (in) blank
A_solid
(in2)
Worst
Rot %
A_net
(in2)
Bent 1 Abutment 1 5 12.0 113.1 na
Bent 2 Round 1 5 12 113.1 10.0 564.4
Bent 3 Round 2 6 12 113.1 35.0 664.7
Bent 4 Round 2 6 12 113.1 35.0 650.9
Bent 5 Round 2 6 12 113.1 20.0 674.1
Bent 6 Round 2 6 12 113.1 35.0 663.6
Bent 7 Round 3 6 12 113.1 20.0 671.8
Bent 8 Round 3 6 12 113.1 35.0 663.6
Bent 9 Round 3 6 12 113.1 35.0 654.6
Bent 10 Round 3 6 12 113.1 0.0 678.6
Bent 11 Round 3 6 12 113.1 35.0 657.9
# Levels # Piles D (in) blankA_solid
(in2)
Worst
Rot %
A_net
(in2)
Bent 12 Round 3 7 12 113.1 35.0 754.9
Bent 13 Round 4 7 12 113.1 35.0 772.2
# Levels # Piles D (in) blankA_solid
(in2)
Worst
Rot %
A_net
(in2)
Bent 14 Round 4 6 12 113.1 60.0 550.5
Bent 15 Round 4 6 12 113.1 60.0 622.0
Bent 16 Round 5 6 12 113.1 35.0 640.7
Bent 17 Round 5 6 12 113.1 60.0 615.0
Bent 18 Round 5 6 12 113.1 80.0 592.3
Bent 19 Round 5 6 12 113.1 60.0 628.8
Bent 20 Round 5 6 12 113.1 20.0 674.1
Bent 21 Round 5 6 12 113.1 60.0 627.7
Structure Change
Structure Change
Cap and Post Load Rating
C-81
Load Rating Calculations Wilburton Trestle
Timber Member Material and Section Properties 12/6/15
King County Department of Parks and Natural Resources
Bent 22 Round 5 6 12 113.1 60.0 624.0
Bent 23 Round 5 6 12 113.1 35.0 659.1
Bent 24 Round 5 6 12 113.1 60.0 609.6
Bent 25 Round 5 6 12 113.1 70.0 512.9
Bent 26 Round 5 6 12 113.1 35.0 635.9
Bent 27 Round 5 6 12 113.1 20.0 671.8
Bent 28 Round 5 6 12 113.1 60.0 622.9
Bent 29 Round 5 6 12 113.1 60.0 583.3
Bent 30 Round 5 6 12 113.1 80.0 592.3
Bent 31 Round 5 6 12 113.1 35.0 662.5
Bent 32 Round 5 6 12 113.1 60.0 577.6
Bent 33 Round 5 6 12 113.1 35.0 663.6
Bent 34 Round 5 6 12 113.1 35.0 659.1
# Levels # Piles D (in) B (in)A_solid
(in2)
Worst
SPL X
A_net
(in2)
Bent 35 Square 5 6 11.5 11.5 132.3 0.5 782.5
Bent 36 Square 5 6 11.5 11.5 132.3 0.0 788.2
Bent 37 Square 5 6 11.5 11.5 132.3 1.0 671.3
Bent 38 Square 5 6 11.5 11.5 132.3 1.5 742.8
Bent 39 Square 5 6 11.5 11.5 132.3 2.0 742.2
Bent 40 Square 5 6 11.5 11.5 132.3 3.0 703.0
Bent 41 Square 5 6 11.5 11.5 132.3 2.0 756.1
Bent 42 Square 5 6 11.5 11.5 132.3 1.5 735.1
Bent 43 Square 5 6 11.5 11.5 132.3 2.0 712.3
Bent 44 Square 5 6 11.5 11.5 132.3 2.0 739.9
Bent 45 Square 5 6 11.5 11.5 132.3 2.0 752.3
Bent 46 Square 5 6 11.5 11.5 132.3 1.5 744.2
Bent 47 Square 5 6 11.5 11.5 132.3 1.0 629.1
# Levels # Piles D (in) B (in)A_solid
(in2)
Worst
SPL X
A_net
(in2)
Bent 52 Square 4 6 11.5 11.5 132.3 2.0 747.5
Bent 53 Square 4 6 11.5 11.5 132.3 0.0 793.5
# Levels # Piles D (in) B (in)A_solid
(in2)
Worst
SPL X
A_net
(in2)
Bent 54 Square 4 5 11.5 11.5 132.3 0.0 661.3
Bent 55 Square 4 5 11.5 11.5 132.3 2.0 621.0
Bent 56 Square 4 5 11.5 11.5 132.3 1.0 638.7
Bent 57 Square 3 5 11.5 11.5 132.3 1.0 591.1
Bent 58 Square 3 5 11.5 11.5 132.3 1.0 585.3
Bent 59 Square 3 5 11.5 11.5 132.3 1.0 622.0
Bent 60 Square 2 5 11.5 11.5 132.3 0.5 601.1
Bent 61 Square 1 5 11.5 11.5 132.3 0.0 661.3
# Levels # Piles D (in) blankA_solid
(in2)
Worst
Rot %
A_net
(in2)
Bent 62 Round 1 6 12.0 113.1 100.0 565.5
Bent 63 Round 1 6 12.0 113.1 100.0 565.5
Bent 64 Abutment 1 6 12.0 113.1 NA
# Levels Informs the dead load to be used later
# Piles The number of piles or posts present
D approximate diameter of the round piles, 12" assumed where not directly measured
B approximate second dimension of square piles
A_solid area of the undamaged pile, one pile
A_rot area of the center rot
A_net available area for compression from all piles, obtained by reducing each pile area by its defect extents.
Worst Rot % Maximum Single value for single pile, see inspection notes for severity extent and which piles.
Structure Change
Structure Change
Structure Change
Structure Change
Cap and Post Load Rating
C-82
Load Rating Calculations By: Pro chk by: Wilburton TrestleLoads date: 12/5/2015 date: 12/6/15
King County Department of Parks and Natural Resources
Typ. Trestle Span (ft) 15.92 50 = Timber density (pcf)
150 = Concrete density (pcf)
Load Distribution ‐ superstructure and live loads
Assume even distribution through the substructure assembly to the piles.
The angled piles will have a larger compression force along the axis. Account for pile quantity.
Conglomerate Angle Factor
A pile / A piles 13.3 1.0276 1.0165136
B pile / B & C piles 11.2 1.0194
C pile / D piles 4.1 1.0026
D pile / E & F piles 11.2 1.0194
E pile / G piles 13.3 1.0276
Dead Loads:
quantity wt/ft Total
Rails big 2 58.3 116.6
Rails small 2 33.3 66.6
Connections 20% of rails 36.64
sidewalk 4 16.666667 66.666667
curbs 2 16.666667 33.333333
cross ties 1 234.375 234.375 (this is using 1 7.5"x7.5" tie every 1', average length 12', 9.6' typical with extended ones for sidewalk)railing 1 30 30Stingers 6.5 53.125 345.3125
929.5275 lb/ft existing superstructureDead Load notes:Use 12" diameter for round pile capacity and 14" diameter for round pile weightUse 11.5"x11.5" size for square pile capacity and 12"x12" for square pile weight
quantity wt/ft Total
Conc deck 14' 8.166666667 1225 1225
type f rail 2 390 780
handrail 2 100 200
No rails
No cross ties
Stingers 6.5 53.125 345.3125
2550.3125 lb/ft proposed superstructure
Bents Round 6 piles Bents Round 6 piles Bents 12 and 13 7 pile by transform
Weight lb kips 6 pile x (7/6) * 1.1
Component A (SF) Length (ft) Quantity Weight (lb) 1 levels 14642 14.6
Level 1 High Cap 0, 2 8x15 1.67 14.5 1 1208 2 levels 29879 29.9
24 Posts, 14" diam 1.08 24 6.10 7869 3 levels 46219 46.2 3 levels 59314 59.3
Long. Straight 10x6 0.42 16 4 1333 4 levels 60648 60.6
Long. Diagonal 10x6 0.42 20 4 1667 5 levels 67677 67.7
Mid brace 0.5 9.5*2.75 0.18 20 2 363
Diagonals 9.5*2.75 0.18 24 4 871
connections 10% 1331 14642 lb level 1 only
Level 2 Cap/cross 1 3x10 0.21 30 2 625
24 Posts, 14" diam 1.08 24 6.10 7869
Long. Straight 10x6 0.42 16 4 1333
Long. Diagonal 10x6 0.42 20 4 1667
Mid brace 1.5 9.5*2.75 0.18 34 2 617
Diagonals 9.5*2.75 0.18 24 8 1742
connections 10% 1385 15238 lb level 2 only
Level 3 Cap/cross 2 3x10 0.21 40 2 833
24.5 Posts, 14" diam 1.08 24.5 6.10 8033
Long. Straight 10x6 0.42 16 4 1333
Long. Diagonal 10x6 0.42 20.15 4 1679
Mid brace 0.5 9.5*2.75 0.18 44 2 798
Diagonals 9.5*2.75 0.18 30 8 2177
connections 10% 1485 16339 lb level 3 only
Level 4 Cap/cross3 3x10 0.21 40 2 833
18 Posts, 14" diam 1.08 18 6.10 5902
Long. Straight 10x6 0.42 16 4 1333
Long. Diagonal 10x6 0.42 18.36 4 1530
Mid brace 3.5 9.5*2.75 0.18 50 2 907
Diagonals 9.5*2.75 0.18 36 8 2613
connections 10% 1312 14429 lb level 4 only
Level 5 Cap/cross4 3x10 0.21 54 2 1125
10 Posts, 14" diam 1.08 10 6.10 3279
Long. Straight 10x6 0.42 16 4 1333
Diagonals 9.5*2.75 0.18 36 2 653
connections 10% 639 7029 lb level 5 only
Bents square 6 piles Bents square 6 piles
Weight lb kips
Component A (SF) Length (ft) Quantity Weight (lb) 1 levels 14037 14.0
Level 1 High Cap 0, 2 8x15 1.67 14.5 1 1208 2 levels 31282 31.3
24 Posts, 12x12" 1.00 24 6.10 7319 3 levels 50487 50.5
Long. Straight 10x6 0.42 16 4 1333 4 levels 67946 67.9
Long. Diagonal 10x6 0.42 20 4 1667 5 levels 79678 79.7
Mid brace 0.5 9.5*2.75 0.18 20 2 363
Diagonals 9.5*2.75 0.18 24 4 871
connections 10% 1276 14037 lb level 1 only
Level 2 Cap/cross 1 12x12 1.00 30 2 3000
24 Posts, 12x12" 1.00 24 6.10 7319
Long. Straight 10x6 0.42 16 4 1333
Long. Diagonal 10x6 0.42 20 4 1667
Mid brace 1.5 9.5*2.75 0.18 34 2 617
Diagonals 9.5*2.75 0.18 24 8 1742
connections 10% 1568 17245 lb level 2 only
Level 3 Cap/cross 2 12x12 1.00 40 2 4000
24.5 Posts, 12x12" 1.00 24.5 6.10 7471
Long. Straight 10x6 0.42 16 4 1333
Long. Diagonal 10x6 0.42 20.15 4 1679
Mid brace 0.5 9.5*2.75 0.18 44 2 798
Diagonals 9.5*2.75 0.18 30 8 2177
connections 10% 1746 19205 lb level 3 only
Level 4 Cap/cross3 12x12 1.00 40 2 4000
Angle factorTrestle / main span bent
Superstructure rxtns from Midas analysis ‐ Assumed continuous except at end bents and steel span. Pedestrian loading includes patch loading.
Existing superstructure:
Proposed superstructure:
Substructure Dead Load
Substructure Dead Load
Substructure Dead Load
Substructure Dead Load
Cap and Post Load Rating
C-83
Load Rating Calculations By: Pro chk by: Wilburton TrestleLoads date: 12/5/2015 date: 12/6/15
King County Department of Parks and Natural Resources
18 Posts, 12x12" 1.00 18 6.10 5489
Long. Straight 10x6 0.42 16 4 1333
Long. Diagonal 10x6 0.42 18.36 4 1530
Mid brace 3.5 9.5*2.75 0.18 50 2 907
Diagonals 9.5*2.75 0.18 36 8 2613
connections 10% 1587 17459 lb level 4 only
Level 5 Cap/cross4 12x12 1.00 54 2 5400
10 Posts, 14" diam 1.08 10 6.10 3279
Long. Straight 10x6 0.42 16 4 1333
Diagonals 9.5*2.75 0.18 36 2 653
connections 10% 1067 11732 lb level 5 only
Bents square 5 piles Bents square 5 piles
Weight lb kips
Component A (SF) Length (ft) Quantity Weight (lb) 1 levels 12714 12.7
Level 1 High Cap 0, 2 8x15 1.67 14.5 1 1208 2 levels 28635 28.6
24 Posts, 12x12" 1.00 24 5.10 6116 3 levels 46490 46.5
Long. Straight 10x6 0.42 16 4 1333 4 levels 62956 63.0
Long. Diagonal 10x6 0.42 20 4 1667 5 levels 74095 74.1
Mid brace 0.5 9.5*2.75 0.18 20 2 363
Diagonals 9.5*2.75 0.18 24 4 871
connections 10% 1156 12714 lb level 1 only
Level 2 Cap/cross 1 12x12 1.00 30 2 3000
24 Posts, 12x12" 1.00 24 5.10 6116
Long. Straight 10x6 0.42 16 4 1333
Long. Diagonal 10x6 0.42 20 4 1667
Mid brace 1.5 9.5*2.75 0.18 34 2 617
Diagonals 9.5*2.75 0.18 24 8 1742
connections 10% 1447 15922 lb level 2 only
Level 3 Cap/cross 2 12x12 1.00 40 2 4000
24.5 Posts, 12x12" 1.00 24.5 5.10 6243
Long. Straight 10x6 0.42 16 4 1333
Long. Diagonal 10x6 0.42 20.15 4 1679
Mid brace 0.5 9.5*2.75 0.18 44 2 798
Diagonals 9.5*2.75 0.18 30 8 2177
connections 10% 1623 17854 lb level 3 only
Level 4 Cap/cross3 12x12 1.00 40 2 4000
18 Posts, 12x12" 1.00 18 5.10 4587
Long. Straight 10x6 0.42 16 4 1333
Long. Diagonal 10x6 0.42 18.36 4 1530
Mid brace 3.5 9.5*2.75 0.18 50 2 907
Diagonals 9.5*2.75 0.18 36 8 2613
connections 10% 1497 16467 lb level 4 only
Level 5 Cap/cross4 12x12 1.00 54 2 5400
10 Posts, 14" diam 1.08 10 5.10 2740
Long. Straight 10x6 0.42 16 4 1333
Diagonals 9.5*2.75 0.18 36 2 653
connections 10% 1013 11139 lb level 5 only
Substructure Dead Load
Substructure Dead Load
Cap and Post Load Rating
C-84
Load
Rating Calculations
By:
Pro
chk by:
Wilb
urton Trestle
Bent Rating Factors
date:
12/5/15
date:
12/6/15
Not Reduced and Braced
King County Departm
ent of Parks and Natural R
esources
Allowable Stress
psi
Bents Round 6 piles
Bents square 6 piles
Bents square 5 piles
Round
12" diam.
876
kips
kips
kips
Square
11.5x11.5
850
1 levels
14.6
1 levels
14.0
1 levels
12.7
2 levels
29.9
2 levels
31.3
2 levels
28.6
Notes
3 levels
46.2
3 levels
50.5
3 levels
46.5
Angle factor is an increase due to pile inclination to be applied to DL and LL
4 levels
60.6
4 levels
67.9
4 levels
63.0
Ben
t factors are for the conglomerate ben
t, adjacent pile defects should still be used
5 levels
67.7
5 levels
79.7
5 levels
74.1
No red
uctions in allowable stress capacities were used due to m
ember defects
Areas red
uced for surface or internal rot
All ratings shown at the inventory level, operating allowable stress increases but not needed
.
Caps do not control the load
rating, sam
e dim
emsions as the square posts but loaded
perpen
dicular to grain not parrallel.
H10
Ped
12'
Ped
14'
SP1
SP2
SU5
E80
H10
Ped12'
Ped14'
SP1
SP2
SU5
E80
11
40.8
14.6
55.4
na
876
na
1.016
16.0
7.0
8.1
41.6
54.0
30.9
145.8
21
40.8
14.6
55.4
564
876
495
1.016
16.3
18.1
21.2
56.3
70.1
38.4
242.3
26.40
23.77
20.37
7.66
6.15
11.24
1.78
32
40.8
29.9
70.7
665
876
583
1.016
16.4
18.1
21.1
55.4
69.2
37.7
238.2
30.74
27.80
23.83
9.07
7.26
13.34
2.11
42
40.8
29.9
70.7
651
876
570
1.016
16.4
18.4
21.4
55.5
69.3
37.8
241.4
29.96
26.70
22.88
8.85
7.08
12.99
2.03
52
40.8
29.9
70.7
674
876
591
1.016
16.4
18.5
21.6
55.5
69.2
37.8
241.7
31.18
27.63
23.68
9.20
7.38
13.51
2.11
62
40.8
29.9
70.7
664
876
582
1.016
16.3
18.3
21.3
55.4
69.1
37.6
240.1
30.74
27.45
23.53
9.06
7.26
13.35
2.09
73
40.8
46.2
87.0
672
876
589
1.016
16.4
18.3
21.4
55.4
69.2
37.7
240.7
30.11
26.84
23.01
8.89
7.12
13.07
2.05
83
40.8
46.2
87.0
664
876
582
1.016
16.4
18.4
21.4
55.4
69.2
37.7
240.9
29.68
26.45
22.67
8.76
7.02
12.88
2.02
93
40.8
46.2
87.0
655
876
574
1.016
16.3
18.3
21.4
55.4
69.2
37.7
240.6
29.21
26.04
22.32
8.62
6.90
12.67
1.98
10
340.8
46.2
87.0
679
876
595
1.016
16.4
18.0
21.0
55.2
69.1
37.5
238.4
30.46
27.73
23.77
9.03
7.22
13.30
2.09
11
340.8
46.2
87.0
658
876
577
1.016
16.1
17.6
20.5
55.0
68.8
36.8
233.4
29.78
27.32
23.42
8.74
6.99
13.06
2.06
12
340.8
46.2
87.0
755
876
662
1.44
16.5
18.2
21.2
55.4
69.2
37.9
240.0
22.60
20.51
17.58
6.72
5.38
9.82
1.55
13
440.8
60.6
101.4
772
876
677
1.44
16.5
18.6
21.7
55.4
69.5
38.0
242.6
22.37
19.81
16.98
6.65
5.30
9.70
1.52
14
440.8
60.6
101.4
551
876
482
1.016
16.5
16.1
18.8
54.1
68.6
36.8
232.4
22.66
23.13
19.83
6.90
5.44
10.16
1.61
15
440.8
60.6
101.4
622
876
545
1.016
16.3
15.9
18.5
53.4
67.7
36.3
229.8
26.69
27.43
23.51
8.14
6.42
12.00
1.89
16
540.8
67.7
108.5
641
876
561
1.016
16.2
17.9
20.9
55.0
69.1
37.2
236.5
27.33
24.80
21.26
8.07
6.42
11.92
1.88
17
540.8
67.7
108.5
615
876
539
1.016
16.4
18.1
21.1
55.3
69.1
37.7
238.1
25.75
23.34
20.00
7.63
6.11
11.20
1.77
18
540.8
67.7
108.5
592
876
519
1.016
16.4
18.4
21.4
55.4
69.2
37.8
240.2
24.57
21.89
18.76
7.26
5.82
10.65
1.68
19
540.8
67.7
108.5
629
876
551
1.016
16.3
18.2
21.2
55.3
69.1
37.5
239.1
26.63
23.84
20.44
7.84
6.28
11.58
1.81
20
540.8
67.7
108.5
674
876
591
1.016
16.3
17.9
20.9
55.2
69.0
37.3
236.6
29.08
26.35
22.58
8.57
6.86
12.69
2.00
21
540.8
67.7
108.5
628
876
550
1.016
16.4
18.2
21.2
55.3
69.1
37.6
238.6
26.42
23.83
20.43
7.83
6.27
11.50
1.81
22
540.8
67.7
108.5
624
876
547
1.016
16.4
18.3
21.3
55.3
69.1
37.7
239.1
26.23
23.54
20.18
7.76
6.22
11.40
1.80
23
540.8
67.7
108.5
659
876
578
1.016
16.4
18.2
21.2
55.3
69.1
37.6
239.0
28.13
25.27
21.66
8.31
6.66
12.23
1.92
24
540.8
67.7
108.5
610
876
534
1.016
16.4
18.3
21.3
55.4
69.1
37.6
239.1
25.52
22.82
19.56
7.54
6.04
11.09
1.74
25
540.8
67.7
108.5
513
876
449
1.016
16.3
18.2
21.2
55.3
69.1
37.5
238.4
20.46
18.33
15.71
6.03
4.83
8.89
1.40
26
540.8
67.7
108.5
636
876
557
1.016
16.4
18.5
21.6
55.5
69.3
37.8
240.6
26.86
23.79
20.39
7.93
6.35
11.64
1.83
27
540.8
67.7
108.5
672
876
589
1.016
16.4
18.4
21.5
55.5
69.2
37.8
240.2
28.75
25.55
21.90
8.49
6.80
12.46
1.96
28
540.8
67.7
108.5
623
876
546
1.016
16.3
18.3
21.4
55.4
69.1
37.6
239.1
26.27
23.39
20.05
7.74
6.20
11.40
1.79
29
540.8
67.7
108.5
583
876
511
1.016
16.3
18.4
21.5
55.4
69.2
37.6
239.5
24.18
21.46
18.39
7.12
5.70
10.49
1.65
30
540.8
67.7
108.5
592
876
519
1.016
16.3
18.2
21.3
55.3
69.1
37.5
238.4
24.66
22.09
18.93
7.27
5.82
10.72
1.69
31
540.8
67.7
108.5
662
876
581
1.016
16.3
18.2
21.3
55.3
69.1
37.5
238.9
28.36
25.40
21.77
8.36
6.70
12.33
1.94
32
540.8
67.7
108.5
578
876
506
1.016
16.3
18.3
21.3
55.4
69.2
37.7
240.0
23.84
21.31
18.26
7.03
5.63
10.34
1.62
33
540.8
67.7
108.5
664
876
582
1.016
16.4
18.4
21.4
55.3
69.4
37.7
240.9
28.37
25.25
21.64
8.38
6.68
12.31
1.93
34
540.8
67.7
108.5
659
876
578
1.016
16.4
16.6
19.3
53.8
68.2
36.4
232.8
28.07
27.79
23.82
8.55
6.75
12.62
1.98
Not Reduced and Braced R
ating Factor RF = C‐D/LL (6B.4.1‐1)
Capacity
kips
DL
Sub DL
Not Reduced and Braced
Super DL
# Levels
Ben
tLive Load
Reactions (full ben
t)
Substructure DL
Substructure DL
Substructure DL
Angle
Factor
Allowable
Stress
Total A
C-85
Load
Rating Calculations
By:
Pro
chk by:
Wilb
urton Trestle
Bent Rating Factors
date:
12/5/15
date:
12/6/15
Not Reduced and Braced
King County Departm
ent of Parks and Natural R
esources
H10
Ped
12'
Ped
14'
SP1
SP2
SU5
E80
H10
Ped12'
Ped14'
SP1
SP2
SU5
E80
35
540.8
79.7
120.5
782
850
665
1.016
16.3
16.4
19.2
53.7
68.1
36.4
231.6
32.72
32.49
27.85
9.94
7.84
14.67
2.31
36
540.8
79.7
120.5
788
850
670
1.016
16.4
18.3
21.3
55.3
69.4
37.6
240.5
32.95
29.46
25.25
9.75
7.76
14.34
2.24
37
540.8
79.7
120.5
671
850
570
1.016
16.4
18.4
21.5
55.5
69.2
37.8
241.3
26.92
23.94
20.52
7.95
6.37
11.66
1.83
38
540.8
79.7
120.5
743
850
631
1.016
16.4
18.5
21.6
55.5
69.2
37.8
241.0
30.57
27.11
23.23
9.02
7.24
13.24
2.08
39
540.8
79.7
120.5
742
850
631
1.016
16.4
18.6
21.7
55.5
69.3
38.0
241.7
30.44
26.87
23.03
9.01
7.22
13.17
2.07
40
540.8
79.7
120.5
703
850
597
1.016
16.4
18.4
21.4
55.4
69.2
37.9
240.1
28.43
25.46
21.82
8.44
6.76
12.34
1.95
41
540.8
79.7
120.5
756
850
643
1.016
16.5
18.5
21.5
55.5
69.2
38.1
241.1
31.02
27.73
23.77
9.23
7.40
13.45
2.12
42
540.8
79.7
120.5
735
850
625
1.016
16.5
18.7
21.8
55.6
69.3
38.2
242.7
29.97
26.41
22.64
8.89
7.13
12.95
2.04
43
540.8
79.7
120.5
712
850
605
1.016
16.3
18.3
21.3
55.4
69.1
37.6
240.0
29.12
26.02
22.30
8.58
6.87
12.64
1.98
44
540.8
79.7
120.5
740
850
629
1.016
16.3
18.3
21.3
55.4
69.1
37.6
239.3
30.54
27.27
23.37
9.00
7.21
13.26
2.08
45
540.8
79.7
120.5
752
850
639
1.016
16.3
17.6
20.5
55.0
68.8
37.3
233.8
31.16
28.98
24.84
9.24
7.40
13.64
2.18
46
540.8
79.7
120.5
744
850
632
1.016
16.2
17.0
19.9
54.5
68.3
36.8
228.4
31.02
29.45
25.24
9.21
7.35
13.64
2.20
47
540.8
79.7
120.5
629
850
535
1.016
16.3
14.5
16.9
56.3
73.3
38.8
216.4
24.92
27.96
23.96
7.21
5.54
10.46
1.88
52
440.8
63.0
103.8
748
850
635
1.016
16.5
14.9
17.4
58.0
75.3
39.6
220.9
31.66
34.97
29.98
8.99
6.92
13.17
2.36
53
440.8
63.0
103.8
794
850
674
1.016
16.3
17.6
20.6
54.8
68.6
37.4
233.9
34.36
31.73
27.19
10.21
8.16
14.99
2.39
54
440.8
63.0
103.8
661
850
562
1.016
16.3
17.9
20.9
55.3
69.0
37.5
236.4
27.53
25.05
21.47
8.13
6.51
11.98
1.90
55
440.8
63.0
103.8
621
850
528
1.016
16.4
18.4
21.5
55.5
69.2
37.8
241.3
25.38
22.55
19.33
7.49
6.01
11.00
1.72
56
440.8
63.0
103.8
639
850
543
1.016
16.4
18.3
21.4
55.4
69.2
37.7
240.7
26.28
23.50
20.14
7.77
6.22
11.41
1.79
57
340.8
46.5
87.3
591
850
502
1.016
16.3
18.2
21.2
55.3
69.1
37.5
239.3
24.99
22.38
19.19
7.36
5.89
10.87
1.70
58
340.8
46.5
87.3
585
850
497
1.016
16.4
18.5
21.6
55.5
69.3
38.0
242.5
24.47
21.71
18.60
7.25
5.80
10.60
1.66
59
340.8
46.5
87.3
622
850
529
1.016
16.4
18.6
21.8
55.6
69.4
38.0
243.3
26.34
23.22
19.90
7.79
6.24
11.39
1.78
60
240.8
28.6
69.4
601
850
511
1.016
16.4
18.1
21.1
55.3
69.1
37.6
239.5
26.50
23.92
20.50
7.84
6.27
11.53
1.81
61
140.8
12.7
53.5
661
850
562
1.016
16.4
18.3
21.3
55.3
69.1
37.7
240.9
30.49
27.32
23.42
9.03
7.22
13.26
2.07
62
140.8
14.6
55.4
565
876
496
1.016
16.4
18.3
21.3
55.6
69.4
37.9
239.9
26.40
23.67
20.29
7.78
6.23
11.41
1.80
63
140.8
14.6
55.4
565
876
496
1.016
16.6
19.2
22.4
56.8
70.6
39.4
252.4
26.09
22.55
19.33
7.61
6.12
10.97
1.71
64
140.8
14.6
55.4
NA
876
na
1.016
16.3
7.7
9.0
43.6
55.9
31.8
155.4
20.46
18.33
15.71
6.03
4.83
8.89
Angle
Factor
Live Load
Reactions
Rating Factor RF = C‐D/LL (6B.4.1‐1)
Ben
t# Levels
Super DL
Sub DL
DL
Total A
Allowable
Stress
Capacity
kips
C-86
Load
Rating Calculations
By:
Pro
chk by:
Wilb
urton Trestle
Bent Rating Factors
date:
12/5/15
date:
12/6/15
Reduced Unbraced
King County Departm
ent of Parks and Natural R
esources
Allowable Stress
psi
Bents Round 6 piles
Bents square 6 piles
Bents square 5 piles
Round
12" diam.
437
kips
kips
kips
Square
11.5x11.5
424
1 levels
14.6
1 levels
14.0
1 levels
12.7
2 levels
29.9
2 levels
31.3
2 levels
28.6
Notes
3 levels
46.2
3 levels
50.5
3 levels
46.5
Angle factor is an increase due to pile inclination to be applied to DL and LL
4 levels
60.6
4 levels
67.9
4 levels
63.0
Ben
t factors are for the conglomerate ben
t, adjacent pile defects should still be used
5 levels
67.7
5 levels
79.7
5 levels
74.1
Red
uctions in allowable stress capacities were used due to m
ember defects, red
uctions in dep
th and increased unbraced length shown
Areas red
uced for surface or internal rot
All ratings shown at the inventory level, operating allowable stress increases but not needed
.Caps do not control the load
rating, sam
e dim
emsions as the square posts but loaded
perpen
dicular to grain not parrallel.
H10
Ped
12'
Ped
14'
SP1
SP2
SU5
E80
H10
Ped12'
Ped14'
SP1
SP2
SU5
E80
11
40.8
14.6
55.4
na
437
na
1.016
16.0
7.0
8.1
41.6
54.0
30.9
145.8
21
40.8
14.6
55.4
564
437
246
1.016
16.3
18.1
21.2
56.3
70.1
38.4
242.3
11.45
10.31
8.83
3.32
2.67
4.87
0.77
32
40.8
29.9
70.7
665
437
290
1.016
16.4
18.1
21.1
55.4
69.2
37.7
238.2
13.14
11.89
10.19
3.88
3.11
5.70
0.90
42
40.8
29.9
70.7
651
437
284
1.016
16.4
18.4
21.4
55.5
69.3
37.8
241.4
12.76
11.37
9.75
3.77
3.02
5.53
0.87
52
40.8
29.9
70.7
674
437
294
1.016
16.4
18.5
21.6
55.5
69.2
37.8
241.7
13.37
11.85
10.15
3.95
3.16
5.79
0.91
62
40.8
29.9
70.7
664
437
290
1.016
16.3
18.3
21.3
55.4
69.1
37.6
240.1
13.14
11.73
10.06
3.87
3.10
5.71
0.89
73
40.8
46.2
87.0
672
437
293
1.016
16.4
18.3
21.4
55.4
69.2
37.7
240.7
12.33
10.99
9.42
3.64
2.92
5.35
0.84
83
40.8
46.2
87.0
664
437
290
1.016
16.4
18.4
21.4
55.4
69.2
37.7
240.9
12.12
10.80
9.25
3.57
2.86
5.26
0.82
93
40.8
46.2
87.0
655
437
286
1.016
16.3
18.3
21.4
55.4
69.2
37.7
240.6
11.88
10.59
9.08
3.51
2.81
5.15
0.81
10
340.8
46.2
87.0
679
437
296
1.016
16.4
18.0
21.0
55.2
69.1
37.5
238.4
12.50
11.38
9.76
3.71
2.96
5.46
0.86
11
340.8
46.2
87.0
658
437
287
1.016
16.1
17.6
20.5
55.0
68.8
36.8
233.4
12.13
11.13
9.54
3.56
2.85
5.32
0.84
12
340.8
46.2
87.0
755
437
330
1.44
16.5
18.2
21.2
55.4
69.2
37.9
240.0
8.61
7.81
6.70
2.56
2.05
3.74
0.59
13
440.8
60.6
101.4
772
437
337
1.44
16.5
18.6
21.7
55.4
69.5
38.0
242.6
8.05
7.13
6.11
2.39
1.91
3.49
0.55
14
440.8
60.6
101.4
551
437
240
1.016
16.5
16.1
18.8
54.1
68.6
36.8
232.4
8.20
8.37
7.17
2.50
1.97
3.67
0.58
15
440.8
60.6
101.4
622
437
272
1.016
16.3
15.9
18.5
53.4
67.7
36.3
229.8
10.17
10.46
8.96
3.10
2.45
4.57
0.72
16
540.8
67.7
108.5
641
437
280
1.016
16.2
17.9
20.9
55.0
69.1
37.2
236.5
10.26
9.31
7.98
3.03
2.41
4.48
0.71
17
540.8
67.7
108.5
615
437
268
1.016
16.4
18.1
21.1
55.3
69.1
37.7
238.1
9.51
8.61
7.38
2.81
2.26
4.13
0.65
18
540.8
67.7
108.5
592
437
259
1.016
16.4
18.4
21.4
55.4
69.2
37.8
240.2
8.92
7.94
6.81
2.63
2.11
3.87
0.61
19
540.8
67.7
108.5
629
437
274
1.016
16.3
18.2
21.2
55.3
69.1
37.5
239.1
9.93
8.89
7.62
2.92
2.34
4.32
0.68
20
540.8
67.7
108.5
674
437
294
1.016
16.3
17.9
20.9
55.2
69.0
37.3
236.6
11.14
10.09
8.65
3.28
2.63
4.86
0.77
21
540.8
67.7
108.5
628
437
274
1.016
16.4
18.2
21.2
55.3
69.1
37.6
238.6
9.84
8.87
7.61
2.92
2.33
4.28
0.68
22
540.8
67.7
108.5
624
437
272
1.016
16.4
18.3
21.3
55.3
69.1
37.7
239.1
9.74
8.75
7.50
2.88
2.31
4.23
0.67
23
540.8
67.7
108.5
659
437
288
1.016
16.4
18.2
21.2
55.3
69.1
37.6
239.0
10.68
9.60
8.23
3.16
2.53
4.64
0.73
24
540.8
67.7
108.5
610
437
266
1.016
16.4
18.3
21.3
55.4
69.1
37.6
239.1
9.38
8.39
7.19
2.77
2.22
4.08
0.64
25
540.8
67.7
108.5
513
437
224
1.016
16.3
18.2
21.2
55.3
69.1
37.5
238.4
6.86
6.14
5.27
2.02
1.62
2.98
0.47
26
540.8
67.7
108.5
636
437
278
1.016
16.4
18.5
21.6
55.5
69.3
37.8
240.6
10.06
8.91
7.64
2.97
2.38
4.36
0.68
27
540.8
67.7
108.5
672
437
293
1.016
16.4
18.4
21.5
55.5
69.2
37.8
240.2
11.00
9.77
8.38
3.25
2.60
4.77
0.75
28
540.8
67.7
108.5
623
437
272
1.016
16.3
18.3
21.4
55.4
69.1
37.6
239.1
9.75
8.68
7.44
2.87
2.30
4.23
0.67
29
540.8
67.7
108.5
583
437
255
1.016
16.3
18.4
21.5
55.4
69.2
37.6
239.5
8.71
7.73
6.63
2.56
2.05
3.78
0.59
30
540.8
67.7
108.5
592
437
259
1.016
16.3
18.2
21.3
55.3
69.1
37.5
238.4
8.95
8.01
6.87
2.64
2.11
3.89
0.61
31
540.8
67.7
108.5
662
437
289
1.016
16.3
18.2
21.3
55.3
69.1
37.5
238.9
10.79
9.67
8.28
3.18
2.55
4.69
0.74
32
540.8
67.7
108.5
578
437
252
1.016
16.3
18.3
21.3
55.4
69.2
37.7
240.0
8.55
7.64
6.55
2.52
2.02
3.71
0.58
33
540.8
67.7
108.5
664
437
290
1.016
16.4
18.4
21.4
55.3
69.4
37.7
240.9
10.80
9.62
8.24
3.19
2.54
4.69
0.73
34
540.8
67.7
108.5
659
437
288
1.016
16.4
16.6
19.3
53.8
68.2
36.4
232.8
10.66
10.56
9.05
3.25
2.56
4.79
0.75
Substructure DL
Substructure DL
Substructure DL
Ben
t# Levels
Super DL
Sub DL
DL
Total A
Allowable
Stress
Reduced Unbraced
Capacity
kips
Angle
Factor
Live Load
Reactions (full ben
t)Reduced Unbraced R
ating Factor RF = C‐D/LL (6B.4.1‐1)
C-87
Load
Rating Calculations
By:
Pro
chk by:
Wilb
urton Trestle
Bent Rating Factors
date:
12/5/15
date:
12/6/15
Reduced Unbraced
King County Departm
ent of Parks and Natural R
esources
H10
Ped
12'
Ped
14'
SP1
SP2
SU5
E80
H10
Ped12'
Ped14'
SP1
SP2
SU5
E80
35
540.8
79.7
120.5
782
424
332
1.016
16.3
16.4
19.2
53.7
68.1
36.4
231.6
12.62
12.53
10.74
3.83
3.02
5.66
0.89
36
540.8
79.7
120.5
788
424
334
1.016
16.4
18.3
21.3
55.3
69.4
37.6
240.5
12.74
11.39
9.76
3.77
3.00
5.54
0.87
37
540.8
79.7
120.5
671
424
284
1.016
16.4
18.4
21.5
55.5
69.2
37.8
241.3
9.74
8.66
7.42
2.87
2.30
4.22
0.66
38
540.8
79.7
120.5
743
424
315
1.016
16.4
18.5
21.6
55.5
69.2
37.8
241.0
11.56
10.25
8.78
3.41
2.74
5.01
0.79
39
540.8
79.7
120.5
742
424
315
1.016
16.4
18.6
21.7
55.5
69.3
38.0
241.7
11.50
10.15
8.70
3.40
2.73
4.98
0.78
40
540.8
79.7
120.5
703
424
298
1.016
16.4
18.4
21.4
55.4
69.2
37.9
240.1
10.51
9.41
8.06
3.12
2.50
4.56
0.72
41
540.8
79.7
120.5
756
424
320
1.016
16.5
18.5
21.5
55.5
69.2
38.1
241.1
11.81
10.56
9.05
3.51
2.82
5.12
0.81
42
540.8
79.7
120.5
735
424
312
1.016
16.5
18.7
21.8
55.6
69.3
38.2
242.7
11.28
9.94
8.52
3.35
2.68
4.88
0.77
43
540.8
79.7
120.5
712
424
302
1.016
16.3
18.3
21.3
55.4
69.1
37.6
240.0
10.82
9.67
8.29
3.19
2.55
4.70
0.74
44
540.8
79.7
120.5
740
424
314
1.016
16.3
18.3
21.3
55.4
69.1
37.6
239.3
11.53
10.29
8.82
3.40
2.72
5.01
0.79
45
540.8
79.7
120.5
752
424
319
1.016
16.3
17.6
20.5
55.0
68.8
37.3
233.8
11.84
11.01
9.44
3.51
2.81
5.18
0.83
46
540.8
79.7
120.5
744
424
315
1.016
16.2
17.0
19.9
54.5
68.3
36.8
228.4
11.74
11.14
9.55
3.49
2.78
5.16
0.83
47
540.8
79.7
120.5
629
424
267
1.016
16.3
14.5
16.9
56.3
73.3
38.8
216.4
8.72
9.78
8.38
2.52
1.94
3.66
0.66
52
440.8
63.0
103.8
748
424
317
1.016
16.5
14.9
17.4
58.0
75.3
39.6
220.9
12.63
13.95
11.96
3.59
2.76
5.26
0.94
53
440.8
63.0
103.8
794
424
336
1.016
16.3
17.6
20.6
54.8
68.6
37.4
233.9
13.94
12.87
11.03
4.14
3.31
6.08
0.97
54
440.8
63.0
103.8
661
424
280
1.016
16.3
17.9
20.9
55.3
69.0
37.5
236.4
10.54
9.59
8.22
3.11
2.49
4.59
0.73
55
440.8
63.0
103.8
621
424
263
1.016
16.4
18.4
21.5
55.5
69.2
37.8
241.3
9.48
8.42
7.22
2.80
2.24
4.11
0.64
56
440.8
63.0
103.8
639
424
271
1.016
16.4
18.3
21.4
55.4
69.2
37.7
240.7
9.93
8.88
7.61
2.94
2.35
4.31
0.68
57
340.8
46.5
87.3
591
424
250
1.016
16.3
18.2
21.2
55.3
69.1
37.5
239.3
9.78
8.76
7.51
2.88
2.31
4.25
0.67
58
340.8
46.5
87.3
585
424
248
1.016
16.4
18.5
21.6
55.5
69.3
38.0
242.5
9.54
8.46
7.25
2.83
2.26
4.13
0.65
59
340.8
46.5
87.3
622
424
264
1.016
16.4
18.6
21.8
55.6
69.4
38.0
243.3
10.47
9.23
7.91
3.10
2.48
4.53
0.71
60
240.8
28.6
69.4
601
424
255
1.016
16.4
18.1
21.1
55.3
69.1
37.6
239.5
11.09
10.00
8.58
3.28
2.62
4.83
0.76
61
140.8
12.7
53.5
661
424
280
1.016
16.4
18.3
21.3
55.3
69.1
37.7
240.9
13.57
12.16
10.42
4.02
3.21
5.90
0.92
62
140.8
14.6
55.4
565
437
247
1.016
16.4
18.3
21.3
55.6
69.4
37.9
239.9
11.45
10.27
8.80
3.37
2.70
4.95
0.78
63
140.8
14.6
55.4
565
437
247
1.016
16.6
19.2
22.4
56.8
70.6
39.4
252.4
11.32
9.78
8.39
3.30
2.66
4.76
0.74
64
140.8
14.6
55.4
NA
437
na
1.016
16.3
7.7
9.0
43.6
55.9
31.8
155.4
6.86
6.14
5.27
2.02
1.62
2.98
Total A
Ben
t# Levels
Super DL
Sub DL
DL
Allowable
Stress
Capacity
kips
Angle
Factor
Live Load
Reactions
Rating Factor RF = C‐D/LL (6B.4.1‐1)
C-88
Load
Rating Calculations
By:
Pro
chk by:
Wilb
urton Trestle
Individual Pile
Rating Factor s
date:12/16/15
date:
12/6/15
Reduced Unbraced
King County Departm
ent of Parks and Natural R
esources
Allowable Stress
psi
Allowable Stress
psi
A pile / A piles
13.3
1.0276
Bents Round 6 piles
Bents square 6 piles
Bents square 5 piles
Round
12" diam.
876Round
12" diam.
437B pile / B & C piles
11.2
1.0194
kips
kips
kips
Square
11.5x11.5
850Square
11.5x11.5
424C pile / D piles
4.1
1.0026
1 levels
14.6
1 levels
14.0
1 levels
12.7
D pile / E & F piles
11.2
1.0194
Key
:2 levels
29.9
2 levels
31.3
2 levels
28.6
Notes
E pile / G piles
13.3
1.0276
S
Sev
ere
3 levels
46.2
3 levels
50.5
3 levels
46.5
Angle factor is an increase due to pile inclination to be applied to DL and LL
AA
dvan
ced
4 levels
60.6
4 levels
67.9
4 levels
63.0
Pile factors are for the single pile, see
ben
t ratings for conglomerate results
RR
ot5 levels
67.7
5 levels
79.7
5 levels
74.1
This uses an
ASSUMED
12" diameter and 11.5x11.5 pile section, w
hich is a good average number but not pile specific
SP
LS
plin
terin
g/lo
st s
urfa
ceAreas red
uced for surface and or or internal rot, severity shown for internal rot, see
inspection rep
ort for surface rot extents
CC
heck
ing
All ratings shown at the inventory level, operating allowable stress increases but not needed
Caps do not control the load
rating, sam
e dim
emsions as the square posts but loaded
perpen
dicular to grain not parrallel
# Piles
Pile
H10
Ped
12'
Ped
14'
SP1
SP2
SU5
E80
H10
Ped12'
Ped14'
SP1
SP2
SU5
E80
14
6A
AR
40.8
60.6
101.4
72
437
32
1.0276
16.5
16.1
18.8
54.1
68.6
36.8
232.4
5.04
5.15
4.41
1.53
1.21
2.26
0.36
14
6F
AR
40.8
60.6
101.4
72
437
32
1.0276
16.5
16.1
18.8
54.1
68.6
36.8
232.4
5.04
5.15
4.41
1.53
1.21
2.26
0.36
15
6A
AR
40.8
60.6
101.4
72
437
32
1.0276
16.3
15.9
18.5
53.4
67.7
36.3
229.8
5.10
5.24
4.49
1.55
1.23
2.29
0.36
17
6B
AR
40.8
67.7
108.5
72
437
32
1.0194
16.4
18.1
21.1
55.3
69.1
37.7
238.1
4.73
4.29
3.67
1.40
1.12
2.06
0.33
18
6F
SR40.8
67.7
108.5
41
437
18
1.0276
16.4
18.4
21.4
55.4
69.2
37.8
240.2
‐0.29
‐0.26
‐0.22
‐0.08
‐0.07
‐0.12
‐0.02
19
6F
AR
40.8
67.7
108.5
72
437
32
1.0276
16.3
18.2
21.2
55.3
69.1
37.5
239.1
4.67
4.18
3.58
1.37
1.10
2.03
0.32
21
6A
AR
40.8
67.7
108.5
72
437
32
1.0276
16.4
18.2
21.2
55.3
69.1
37.6
238.6
4.64
4.18
3.59
1.37
1.10
2.02
0.32
22
6A
AR
40.8
67.7
108.5
72
437
32
1.0276
16.4
18.3
21.3
55.3
69.1
37.7
239.1
4.64
4.16
3.57
1.37
1.10
2.02
0.32
24
6A
AR
40.8
67.7
108.5
72
437
32
1.0276
16.4
18.3
21.3
55.4
69.1
37.6
239.1
4.65
4.16
3.56
1.37
1.10
2.02
0.32
25
6A
AR+A
C40.8
67.7
108.5
58
437
25
1.0276
16.3
18.2
21.2
55.3
69.1
37.5
238.4
2.36
2.12
1.81
0.70
0.56
1.03
0.16
25
6B
AR
40.8
67.7
108.5
72
437
32
1.0194
16.3
18.2
21.2
55.3
69.1
37.5
238.4
4.75
4.25
3.65
1.40
1.12
2.06
0.33
25
6F
AR
40.8
67.7
108.5
72
437
32
1.0276
16.3
18.2
21.2
55.3
69.1
37.5
238.4
4.66
4.17
3.58
1.37
1.10
2.02
0.32
28
6E
AR
40.8
67.7
108.5
72
437
32
1.0276
16.3
18.3
21.4
55.4
69.1
37.6
239.1
4.66
4.15
3.56
1.37
1.10
2.02
0.32
29
6B & E
AR
40.8
67.7
108.5
72
437
32
1.0276
16.3
18.4
21.5
55.4
69.2
37.6
239.5
4.66
4.13
3.54
1.37
1.10
2.02
0.32
30
6A
SR40.8
67.7
108.5
41
437
18
1.0276
16.3
18.2
21.3
55.3
69.1
37.5
238.4
‐0.29
‐0.26
‐0.22
‐0.08
‐0.07
‐0.13
‐0.02
32
6C
AR
40.8
67.7
108.5
72
437
32
1.0026
16.3
18.3
21.3
55.4
69.2
37.7
240.0
4.93
4.41
3.78
1.45
1.16
2.14
0.34
43
6B
AR
40.8
79.7
120.5
85
424
36
1.0194
16.3
18.3
21.3
55.4
69.1
37.6
240.0
5.55
4.96
4.25
1.64
1.31
2.41
0.38
47
6B
SR40.8
79.7
120.5
42
424
18
1.0194
16.3
14.5
16.9
56.3
73.3
38.8
216.4
‐0.99
‐1.11
‐0.95
‐0.29
‐0.22
‐0.41
‐0.07
47
6E
AR
40.8
79.7
120.5
85
424
36
1.0194
16.3
14.5
16.9
56.3
73.3
38.8
216.4
5.57
6.25
5.35
1.61
1.24
2.34
0.42
57
5D
AR
40.8
46.5
87.3
85
424
36
1.016
16.3
18.2
21.2
55.3
69.1
37.5
239.3
5.48
4.91
4.20
1.61
1.29
2.38
0.37
58
5D
AR
40.8
46.5
87.3
85
424
36
1.016
16.4
18.5
21.6
55.5
69.3
38.0
242.5
5.43
4.81
4.13
1.61
1.29
2.35
0.37
all dim
ensions in "in" and kips
4.64
4.13
3.54
1.37
1.10
2.02
0.32
Not Reduced and Braced
Reduced Unbraced
Trestle / span
ben
tAngle factor
Substructure DL
Substructure DL
Substructure DL
Angle
Factor
Live Load
Reactions (full ben
t) R
ating Factor RF = C‐D/LL (6B.4.1‐1)
Ben
tSeverity
Super DL
Sub DL
DL
This sheet provides specific pile load
rating factors for all
piles with advanced or severe rot.
Red
uced allowable by dep
th and increased unbraced
length to 26' used
Red
uced
A 1pile
Allowable
Stress
Capacity
kips
C-89
Load Rating Calculations By: Pro chk by: Wilburton Trestle
Capacity & Rating Factors date: 12/5/2015 date: 12/6/15
King County Department of Parks and Natural Resources
Allowable stresses (per AASHTO Std. Specifications 17th Edition) Find one stress for round and one stress for square piles
Unmodified Design Values for Visually Graded Lumber ‐ Posts and Timbers (AASHTO Tables 13.5.1A and 13.5.2A
Fb 1200 psi ‐ Douglas Fir #1 (Table 13.5.1A) For round piles
Fv 85 " Diameter 12
Fc_par 1000 " depth 12
Fc_perp 625 " reduced depth 10
E 1600000 "
Fg 1350 psi ‐ Douglas Fir #1 (Table 13.5.2A) For square piles
size 11.5
F`c_perp = Fc_perpCMCb Allowable stress in compression perpendicular to grain (AASHTO 13.6.6.2) depth 11.5
F`c_par = Fc_parCMCDCFCP Allowable stress in compression parallel to grain (AASHTO 13.7.3.2) reduced depth 10
F`g = FgCD Allowable stress in bearing parallel to grain (AASHTO 13.7.4) Reduced bearing 11.5
Adjustments to Design Values
Fb Fv Fc_perp Fc_par Fc_par_round Fg E
Wet Service Factor, CM 1.00 1.00 0.67 0.91 0.91 ‐ 1.00 AASHTO 13.5.5.1
Load Duration Factor, CD 1.15 1.15 ‐ 1.15 1.15 1.15 ‐ AASHTO 13.5.5.2
Bending Size Factor, CF 1.00 ‐ 0.90 0.90 ‐ ‐
Bearing Area Factor, Cb ‐ ‐ 1.03 ‐ ‐ ‐ ‐ AASHTO 13.6.6.3
Beam Stability Factor, CL 1.00 ‐ ‐ ‐ ‐ ‐ ‐
Column Stability Factor, CP see below see below
K ‐ 1.0 1.0 Effective length factor (AASHTO App. C)
l ‐ see below see below
KcE ‐ 0.3 0.3
c ‐ 0.8 0.85
F*c 941.85 941.85
Adjusted Design Values
F`c_par see below
F`c_perp 432.40 psi
F`g 1552.50 psi
F`b 1380.00 psi
F`v 97.75 psi
E` 1600000 psi
Allowable Stress Capacities for Different Scenarios
Look at compression parallel to the grain of the wood for these piles
Controlling Acomp (in.^2) Controlling compression area, minimum value of A_net and A_bearingL (ft) length of pile, with 3' added for assumed depth to fixityfDL dead load stressfLL live load stressRF =(capacity‐DL)/LL (6B.4.1‐1)
Determine factored resistance available
Member ID
(Bent ‐ Pile)L (ft)
Le (ft) FcE 1st Term 2nd Term CP F`c_parRound 13.50 13.50 2634 2.23 1.30 0.93 876
Round reduced 13.50 13.50 1829 1.73 0.84 0.89 836R. reduced Unbraced 26.00 26.00 493 0.90 0.43 0.46 437
Determine factored resistance available
Bent 6L (ft)
Le (ft) FcE 1st Term 2nd Term CP F`c_parSquare 13.50 13.50 2419 2.23 1.33 0.90 850
Square reduced 13.50 13.50 1829 1.84 0.98 0.86 812
Sq. reduced unbraced 26.00 26.00 493 0.95 0.50 0.45 424
Column Stability Factor, CP
Column Stability Factor, CP
Cap and Post Load Rating
C-90
C-91
C-92
C-93
C-94
C-95
C-96
C-97
• Fr
ont A
xles
- Da
na S
pice
r, 12
,000
lb.
• Fr
ont
Axle
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Dan
a Sp
icer
12,
000
to 2
2,00
0 lb
s.
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ont S
prin
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Tape
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.•
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12,
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13,
200,
14,6
00, 1
6,00
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8,00
00, 2
0,00
0 an
d 22
,000
lb.
• Re
ar A
xle
- Dan
a Sp
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, 40,
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lb. T
ande
m•
Sing
le R
ear
Axle
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Dan
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m 1
6,00
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30,
000
lb.
• Ta
ndem
Rea
r Ax
les
- D
ana
Spic
er, 4
0,00
0 an
d 52
,000
lb.
• Ta
ndem
Rea
r Ax
les
- M
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or, 4
0,00
0 an
d 44
,000
lb.
• Tr
idem
Rea
r Ax
les
- D
ana
Spic
er, 6
9,00
0 an
d 78
,000
lb.
• Re
ar S
uspe
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n - R
eyco
102
, 38,
000
lb. T
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Sus
pens
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, Rey
co a
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Hen
dric
kson
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h ca
paci
ties
fro
m 2
0,00
0 to
31,
000
lbs.
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ual R
ear
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Sus
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ions
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endr
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on,
Cha
lmer
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ties
up
to 5
2,00
0 lb
s.
• Tr
idem
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r Ax
le S
uspe
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Ken
wor
th, H
endr
icks
on, a
nd
New
ay w
ith
capa
citi
es u
p to
69,
000
lbs.
• Br
akes
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Bra
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295
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22.5
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• 24
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Tan
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Und
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k of
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• 2
4.5”
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0 to
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Gal
lon
Cap
acit
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nder
and
Bac
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• H
ydra
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and
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it T
anks
Ava
ilabl
e
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Alum
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Tan
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ps
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4.9
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0-60
0 H
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With
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Num
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160
Amp
Alte
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or•
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2 Vo
lt St
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es
•
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or T
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M D
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atte
ries
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rizon
tal M
uffle
r/DP
F/SC
R an
d Ta
ilpip
e• R
H U
nder
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/SC
R w
ith
Side
of
Cab
Tai
lpip
e•
Hor
izon
tal M
uffle
r D
PF/S
CR
wit
h B
ack
of S
leep
er V
erti
cal T
ailp
ipe
• V
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cal I
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nt D
PF/S
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wit
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ack
of C
ab S
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e
Tran
smis
sion
Opt
ions
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ton
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r FRO
1621
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0-Sp
eed
• Cl
utch
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ton
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r•
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n Fu
ller
9, 1
0, 1
3, 1
5 &
18
Spee
d M
anua
l and
Aut
omat
ed
Tran
smis
sion
s
• Al
lison
5, 6
& 7
Spe
ed A
utom
atic
Tra
nsm
issi
ons
• PT
O O
ptio
ns: R
EPTO
and
Fac
tory
Inst
alle
d Tr
ansm
issi
on M
ount
ed P
TOs
Fram
e / A
xle
/ Sus
pens
ion
/ Bra
kes
• Fr
ame
- 10
5/8"
Ste
el -
120,
000
psi -
Hea
t Tre
ated
• Fr
ame
- 10
3/4
” St
eel -
120
,000
psi
- H
eat
Trea
ted
• F
ram
e -
11 5
/8”
Stee
l - 1
20,0
00 p
si -
Hea
t Tr
eate
d
DEF
Tank
s•
Sm
all R
ound
DEF
Tank
– 1
1 Us
able
Gal
lons
•
Med
ium
Rou
nd D
EF T
ank
– 2
1 U
sabl
e G
allo
ns
•
Larg
e R
ound
DEF
Tan
k –
31
Usa
ble
Gal
lons
•
Extr
a La
rge
Rou
nd D
EF T
ank
– 3
8 U
sabl
e G
allo
ns
•
Polis
hed
Tank
Cov
er a
nd P
olis
hed
Stra
ps
Batte
ry B
oxes
/ Bu
mpe
rs
• St
eel B
atte
ry B
ox w
ith A
lum
inum
Ste
p Co
ver
• Al
umin
um B
atte
ry B
ox
• C
anti
leve
r B
ack
of C
ab B
atte
ry B
ox
• In
Cab
Bat
tery
Box
• St
eel P
aint
ed C
hann
el B
umpe
r•
Tape
red
Cha
nnel
in B
rush
ed o
r Po
lishe
d Al
umin
um
• St
ainl
ess
Cla
d Al
umin
um C
hann
el B
umpe
r
Cab
/ Hoo
d / I
nter
ior
• Ca
b - S
tam
ped
Alum
inum
• H
ood
- 5-P
iece
Met
ton
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ped
Voca
tiona
l Hoo
d
T880
Hoo
d (1
22.5
” B
BC
) -
5-Pi
ece
wit
h B
olt
on F
ende
rs
T8
80M
X Ho
od (
116.
5” B
BC) –
5-P
iece
with
Bol
t on
Fend
ers
• C
ompl
ex R
eflec
tor H
alog
en H
eadl
amps
• A
erod
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ic H
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irror
s•
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usta
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teer
ing
Colu
mn
• S
tand
ard
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age
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l Hea
dlin
er a
nd C
ab B
ack
Pane
l•
Dia
mon
d VI
T D
elux
e In
teri
or
• K
enwo
rth
GT70
2 Ai
r-Cu
shio
n Pl
us H
igh
Back
Driv
er S
eat
• K
enwo
rth
GT70
1 Hi
gh B
ack
Tool
box
Plus
Rid
er S
eat
• P
ower
Doo
r Loc
ks•
Pas
seng
er-s
ide
Elec
tric
Win
dow
•
3-W
indo
w B
ack
of C
ab W
indo
w O
ptio
n
•
Full
Bur
l Woo
d D
ash
Pane
ls
•
Wor
ksta
tion
Bet
wee
n Se
ats
Spec
ial E
quip
men
t & O
ptio
ns•
Bac
k-up
Ala
rm
• D
ayti
me
Run
ning
Lig
hts
• M
ulti
-fun
ctio
n En
gine
Con
nect
or F
or
Bod
y B
uild
er In
terf
ace
• B
odyb
uild
er H
arne
ss t
o En
d of
Fra
me
• C
usto
m F
ram
e D
rilli
ng a
nd F
ram
e La
yout
• F
acto
ry In
stal
led
Tran
smis
sion
PTO
’s
-M
unci
e an
d C
hels
ea
• F
acto
ry In
stal
led
Wat
son
Cha
lin L
ift
Axle
s
-8
K, 1
0K, 1
3.5K
, 20K
and
22K
-P
ushe
r an
d Ta
g Ax
le c
onfig
urat
ions
-S
teer
able
and
Non
-Ste
erab
le O
ptio
ns
T880
SPE
CIFI
CATI
ONS
• O
ptio
nal I
tem
s in
Ital
ics
C-98
Sht No. _____
JOB NAME Wilburtson Trestle Bridge STEEL SPAN Section Properties (ISE 12/15)
GENERAL SECTION PROPERTIES
SECTION NAME Main Span Steel Girders (No Composite Future Deck assumed)(Top flange is included because concrete stiffening as well as the MC channels and Edge Cha
Segment Height Width H total CROSS SECTIONnumber from top from top
0 0.00 20.00 0.0001 1.00 20.00 1.0002 0.00 16.56 1.0003 1.00 16.56 2.0004 0.00 2.56 2.0005 7.00 2.56 9.0006 0.00 0.56 9.0007 74.88 0.56 83.8758 0.00 2.56 83.8759 7.00 2.56 90.875
10 0.00 16.56 90.87511 1.00 16.56 91.87512 0.00 20.00 91.87513 1.00 20.00 92.87514 0.00 0.00 0.000 -80
-70
-60
-50
-40
-30
-20
-10
0
WB Steel Section prop.xlsxWilburton Br Main
15 0.00 0.00 0.00016 0.00 0.00 0.00017 0.00 0.00 0.00018 0.00 0.00 0.00019 0.00 0.00 0.000
SUMMARY: Height 92.88 in = 7.74 ft approx. Wt.Area 151.12 in^2 = 1.05 ft^2 0.514 kip/ft
Yt 46.44 in = 3.87 ftYb 46.44 in = 3.87 ftI 231253 in^4 = 11.15 ft^4
St 4980 in^3 = 2.88 ft^3Sb 4980 in^3 = 2.88 ft^3
-100
-90
-20 -10 0 10 20
WB Steel Section prop.xlsxWilburton Br Main
C-99
Sht No. _____
JOB NAME Wilburtson Trestle Bridge STEEL SPAN Section Properties (ISE 12/15)
INTERMEDIATE SECTION PROPERTIES (2 COVER PLATES)
SECTION NAME Main Span Steel Girders (No Composite Future Deck assumed)(Top flange is included because concrete stiffening as well as the MC channels and Edge Cha
Segment Height Width H total CROSS SECTIONnumber from top from top
0 0.00 20.00 0.0001 2.00 20.00 2.0002 0.00 16.56 2.0003 1.00 16.56 3.0004 0.00 2.56 3.0005 7.00 2.56 10.0006 0.00 0.56 10.0007 74.88 0.56 84.8758 0.00 2.56 84.8759 7.00 2.56 91.875
10 0.00 16.56 91.87511 1.00 16.56 92.87512 0.00 20.00 92.87513 2.00 20.00 94.87514 0.00 0.00 0.000 -80
-70
-60
-50
-40
-30
-20
-10
0
WB Steel Section prop.xlsxWilburton Br Interm
15 0.00 0.00 0.00016 0.00 0.00 0.00017 0.00 0.00 0.00018 0.00 0.00 0.00019 0.00 0.00 0.000
SUMMARY: Height 94.88 in = 7.91 ft approx. Wt.Area 191.12 in^2 = 1.33 ft^2 0.650 kip/ft
Yt 47.44 in = 3.95 ftYb 47.44 in = 3.95 ftI 319382 in^4 = 15.40 ft^4
St 6733 in^3 = 3.90 ft^3Sb 6733 in^3 = 3.90 ft^3
-100
-90
-20 -10 0 10 20
WB Steel Section prop.xlsxWilburton Br Interm
C-100
Sht No. _____
JOB NAME Wilburtson Trestle Bridge STEEL SPAN Section Properties (ISE 12/15)
MIDSPAN SECTION PROPERTIES (3 COVER PLATES)
SECTION NAME Main Span Steel Girders (No Composite Future Deck assumed)(Top flange is included because concrete stiffening as well as the MC channels and Edge Cha
Segment Height Width H total CROSS SECTIONnumber from top from top
0 0.00 20.00 0.0001 3.00 20.00 3.0002 0.00 16.56 3.0003 1.00 16.56 4.0004 0.00 2.56 4.0005 7.00 2.56 11.0006 0.00 0.56 11.0007 74.88 0.56 85.8758 0.00 2.56 85.8759 7.00 2.56 92.875
10 0.00 16.56 92.87511 1.00 16.56 93.87512 0.00 20.00 93.87513 3.00 20.00 96.87514 0.00 0.00 0.000
100
-80
-60
-40
-20
0
WB Steel Section prop.xlsxWilburton Br Midspan
15 0.00 0.00 0.00016 0.00 0.00 0.00017 0.00 0.00 0.00018 0.00 0.00 0.00019 0.00 0.00 0.000
SUMMARY: Height 96.88 in = 8.07 ft approx. Wt.Area 231.12 in^2 = 1.60 ft^2 0.786 kip/ft
Yt 48.44 in = 4.04 ftYb 48.44 in = 4.04 ftI 411305 in^4 = 19.84 ft^4
St 8491 in^3 = 4.91 ft^3Sb 8491 in^3 = 4.91 ft^3
-120
-100
-20 -10 0 10 20
WB Steel Section prop.xlsxWilburton Br Midspan
C-101
WIL
BU
RTO
N B
RID
GE
ESTI
MA
TE O
F PA
INTE
D S
UR
FAC
E A
REA
Dat
e pr
epar
ed:
Dec
embe
r 201
5Pr
epar
ed b
y: K
en W
ilson
, ISE
STEE
L M
EMB
ERX-
SEC
TIO
NA
L PE
RIM
ETER
(FT)
LEN
GTH
PER
M
EMB
ER (F
T)N
O. O
F M
EMB
ERS
AR
EA (S
F)
Orig
inal
Gird
ers
22.1
910
4.0
24,
615
Stif
fene
rs:
OU
TS
IDE
Ver
tical
Web
stif
fene
r0.
906.
226
145
Fla
nge
wid
th
(ft)
Fla
nge
no. o
f pa
inte
d si
des
Web
dep
th
(ft)
Web
no.
of
pain
ted
side
sx-
sect
iona
l pe
rimet
er (
LF)
Bui
lt-up
Pla
te G
ir1.
684.
007.
742.
0022
.19
Cro
ss F
ram
e M
embe
rs:
Tra
nsve
rse
Top
& B
ot W
16x2
6 B
ea4.
487.
514
470
Leg
wid
th
(in)
no. o
f pa
inte
d si
des
Tee
dep
th
(in)
Thi
ckne
s no
. of
pain
ted
side
ssh
ort L
eg
no. o
f pa
inte
d si
des
x- sect
iona
l pe
rimet
er
(LF
)C
ross
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ISE, PLLC
C-102
King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 1 of 38 ISE, PLLC
**************************** START OF DATA SET 1 **************************** # 10 TITLE WB-STL4.DAT # 10 TITLE Wilburton Bridge Load Rating # 20 COMMENT # 20 COMMENT 11/2015 Simple Single Span Plate Girder Bridge by KMW (updated 12/2015) # 20 COMMENT # 20 COMMENT Bridge consists of steel Built-up Plate Girder Bridge with assumed # 20 COMMENT non-composite future deck. Top flange braced every 16.67' oc at brace s # 20 COMMENT 7"x14' concrete deck is supported on girders that are spaced 8' on cente # 20 COMMENT with deck simple span between the two girders for wheel distribution # 20 COMMENT # 20 COMMENT Main Span is 100'-0", End to End of girder is about 104'-0" # 20 COMMENT Midspan has three cover plates, intermediate two, end has one # 20 COMMENT DOUBLED ANGLES (FOUR) ARE USED AT THE BEARING STIFFENERS # 20 COMMENT # 20 COMMENT # 20 COMMENT ***** LRFR STRENGTH LIMIT STATE RATING ***** # 20 COMMENT ***** HS-20 & AASHTO & King County TRUCKS ***** # 20 COMMENT ***** BUILT-UP STEEL RAILCAR PLATE GIRDER ANALYSIS ***** # 20 COMMENT # 20 COMMENT # 20 COMMENT #310 # 310 ANALYSIS 1, 0, 3 # 20 COMMENT # 20 COMMENT # 20 COMMENT ****** SECTION GEOMETRY ****** # 20 COMMENT # 20 COMMENT # 20 COMMENT Girders have rivets in stiffeners and likely fabricated around 1957 to 196 # 20 COMMENT Steel is likely to be A441 50ksi for the main plates, but since unknown us # 20 COMMENT 36ksi for that period # 20 COMMENT # 20 COMMENT # 20 COMMENT #350,360,370,410 # 20 COMMENT XSECT-STD 1, END Section # 20 COMMENT Web height is uniform Section Throughout # 350 XSECT-A 1, 36.0 # 360 XSECT-B 0.5625, 0.5625, 16.5625, 16.5625, 0.0001, 0.0001 # 370 XSECT-C 20.00, 1.0, 0, 20.00, 1.0, 0 # 420 XSECT-H 8, 8, 1, 8, 8, 1.0 # 20 COMMENT # 20 COMMENT #350,360,370,410 # 20 COMMENT XSECT-STD 1, Typical # 20 COMMENT Web height is uniform Section Throughout # 350 XSECT-A 2, 36.0 # 360 XSECT-B 0.5625, 0.5625, 16.5625, 16.5625, 0.0001, 0.0001 # 370 XSECT-C 20.00, 2.0, 0, 20.00, 2.0, 0 # 420 XSECT-H 8, 8, 1, 8, 8, 1.0 # 20 COMMENT # 20 COMMENT #350,360,370,410 # 20 COMMENT XSECT-STD 1, THREE COVER PLATE Midspan # 20 COMMENT Web height is uniform Section Throughout # 350 XSECT-A 3, 36.0 # 360 XSECT-B 0.5625, 0.5625, 16.5625, 16.5625, 0.0001, 0.0001 # 370 XSECT-C 20.00, 3.0, 0, 20.00, 3.0, 0 # 420 XSECT-H 8, 8, 1, 8, 8, 1.0 # 20 COMMENT # 20 COMMENT # 20 COMMENT # 20 COMMENT # 20 COMMENT ****** SPAN LENGTH & SECTION INFORMATION ****** # 20 COMMENT # 20 COMMENT # 20 COMMENT ------ Span 1, 100.0ft # 20 COMMENT # 20 COMMENT Span has constant web height with two changes in flange steel # 20 COMMENT where top cover plates two and then three are added # 20 COMMENT web depth is adjusted to top of angle flange as equivalent # 20 COMMENT fillet will be created by program per XSECT-H notes. # 20 COMMENT # 20 COMMENT # 20 COMMENT #460,#470,#480 # 460 SPAN-A 1, 100.0, 1, 90.875, 90.875, # 480 SPAN-C 1, 21.667, 1, 2 # 490 SPAN-D 30.833, 2, 3, 69.167, 3, 2 # 490 SPAN-D 78.333, 2, 1, 100.000, 1, 1 # 20 COMMENT # 20 COMMENT #500 # 500 FIXITY 0, 1, 0, 1, 1, 0 # 20 COMMENT # 20 COMMENT # 20 COMMENT ****** MATERIAL PROPERTIES ****** # 20 COMMENT # 20 COMMENT #530 # 530 PROPERTIES-ST1 490.0, 29000, 4.0, 36.0 # 20 COMMENT # 20 COMMENT # 20 COMMENT # 20 COMMENT ****** DEAD LOAD ****** # 20 COMMENT # 20 COMMENT #830 # 20 COMMENT # 830 DEAD-LOAD 1, 0, 0.001 # 20 COMMENT
C-103
King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 2 of 38 ISE, PLLC
# 20 COMMENT Steel Girder estimated at 533 lb/ft/gir # 20 COMMENT # 20 COMMENT # 20 COMMENT Concrete Deck + Curbs/Rails # 20 COMMENT # 20 COMMENT = 630 lbs/ft/gir 185lbs/ft/gir # 20 COMMENT = ~820 lbs/ft # 20 COMMENT # 20 COMMENT #840 # 840 LOAD-DESCR 1, 1, , Conc. Deck, Curb, & Rail # 20 COMMENT # 20 COMMENT #850 # 850 UNIFORM-DL1 1, 0.0, 0.82, 100.0, # 20 COMMENT # 20 COMMENT #840 # 840 LOAD-DESCR 2, 1, , Crossbraces # 20 COMMENT # 20 COMMENT 1,110 lbs/gir at each brace point # 20 COMMENT # 20 COMMENT # 20 COMMENT #860 # 860 POINT-DL 0.00, 1.110, 1, 16.67 # 860 POINT-DL 0.00, 1.110, 1, 33.33 # 860 POINT-DL 0.00, 1.110, 1, 50.00 # 860 POINT-DL 0.00, 1.110, 1, 66.67 # 860 POINT-DL 0.00, 1.110, 1, 83.33 # 20 COMMENT # 20 COMMENT # 20 COMMENT #840 # 20 COMMENT + two utilities & Conduits (~25lbs/ft x 1.2) =30lbs/ft for 1.5DW # 20 COMMENT # 840 LOAD-DESCR 3, 1, , Two Utilities # 20 COMMENT # 20 COMMENT #850 # 850 UNIFORM-DL1 1, 0.0, 0.030, 100.0 # 20 COMMENT # 20 COMMENT # 20 COMMENT # 20 COMMENT ****** Live Load ****** # 20 COMMENT # 20 COMMENT HS-20 TRUCK LOADING # 20 COMMENT # 20 COMMENT DF = 0.75 Trucks per Girder or 1.5 Wheels/girder # 20 COMMENT (never less than 0.50 Trucks per girder) # 20 COMMENT IMPACT FACTOR = 10% # 20 COMMENT # 20 COMMENT #880 # 880 LIVE-LOAD 3, 1.5, 100.00, 100.00, , 1, 0.10 # 20 COMMENT # 20 COMMENT AASHTO 1 TRUCK # 20 COMMENT #940 # 940 SPECIAL-TRUCK 3, 8, 15.0, 8.5, 4.0 # 940 SPECIAL-TRUCK 3, 8.5 # 20 COMMENT # 20 COMMENT AASHTO 2 TRUCK # 20 COMMENT #940 # 940 SPECIAL-TRUCK 4, 5, 11.0, 7.75, 4.0 # 940 SPECIAL-TRUCK 4, 7.75, 22.0, 7.75, 4.0 # 940 SPECIAL-TRUCK 4, 7.75 # 20 COMMENT # 20 COMMENT AASHTO 3 TRUCK # 20 COMMENT #940 # 940 SPECIAL-TRUCK 5, 6, 15.0, 6, 4.0 # 940 SPECIAL-TRUCK 5, 6, 15.0, 8, 16.0 # 940 SPECIAL-TRUCK 5, 7, 4.0, 7 # 20 COMMENT # 20 COMMENT # 20 COMMENT SU5 (31 ton) # 20 COMMENT #940 # 940 SPECIAL-TRUCK 6, 6, 10.0, 4, 4.0 # 940 SPECIAL-TRUCK 6, 4, 4.0, 8.5, 4.0 # 940 SPECIAL-TRUCK 6, 8.5 # 20 COMMENT # 20 COMMENT # 20 COMMENT FIRE PUMPER/TENDER' 49 (27 ton) # 20 COMMENT #940 # 940 SPECIAL-TRUCK 7, 7.5, 15.0, 9.75, 5.0 # 940 SPECIAL-TRUCK 7, 9.75 # 20 COMMENT # 20 COMMENT # 20 COMMENT KENWORTH T800 DUMP (27.5 ton) # 20 COMMENT #940 # 940 SPECIAL-TRUCK 8, 6, 6.5, 5, 4.5 # 940 SPECIAL-TRUCK 8, 8.25, 4.5, 8.25 # 20 COMMENT # 20 COMMENT LEEBOY 785 GRADER (12.75 ton) # 20 COMMENT #940 # 940 SPECIAL-TRUCK 9, 8.25, 12.33, 8.25, 5.0 # 940 SPECIAL-TRUCK 9, 8.25 # 20 COMMENT # 20 COMMENT SU4 + 80KIP LOWBOY (67.05 ton) # 20 COMMENT #940 # 940 SPECIAL-TRUCK 10, 6, 10.0, 4, 4.0 # 940 SPECIAL-TRUCK 10, 8.5, 4.0, 8.5, 25.0 # 940 SPECIAL-TRUCK 10, 13.35, 4.0, 13.35, 4.0
C-104
King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 3 of 38 ISE, PLLC
# 940 SPECIAL-TRUCK 10, 13.35 # 20 COMMENT # 20 COMMENT # 20 COMMENT # 20 COMMENT ***** ANALYSIS TYPE ***** # 20 COMMENT # 20 COMMENT #980 # 980 DESIGN 3, 1 # 20 COMMENT # 20 COMMENT Load Factors: 1.25DL, 1.50DW (included in Utilities) & 1.40LL (legal load) # 20 COMMENT PARKS DEPT. Pedestrian Bridge, low volume road with effective enforcement # 20 COMMENT (Table B6A-1, but SU5 and Permit rating could be as low as 1.15LL) # 20 COMMENT # 20 COMMENT Impace = 10% Smooth Riding Surface and new deck coding 7 # 20 COMMENT # 20 COMMENT Resistance Factors # 20 COMMENT Satisfactory Condition, Non-Redundant Riveted Two-girder superstructure # 20 COMMENT Phi = 1.0 x 0.90 x 1.0 base for steel = 0.90 # 20 COMMENT (Table 6A.4.2.4-1) # 20 COMMENT # 20 COMMENT #990 CASE D # 990 INVENTORY 1.0, 1.25, 1.40, 0.90, 0.90 # 20 COMMENT # 20 COMMENT # 20 COMMENT ---- Positive Moment, Span 1 at 0.50L # 20 COMMENT # 20 COMMENT #1030 # 1030 STEEL-1 104, 3, # 1060 STEEL-4 ,,,,,3, # 20 COMMENT # 20 COMMENT #1030 # 1030 STEEL-1 105, 3, # 1060 STEEL-4 ,,,,,3, # 20 COMMENT # 20 COMMENT ---- Shear Span 1 at 0.0L # 20 COMMENT (Double 3/4" angles at bearing stiffeners) # 20 COMMENT # 20 COMMENT #1030 # 1030 STEEL-1 100, 3, , 100, 6.0, 0.75, 36, 1.8, 1, 1 # 1040 STEEL-2 0, 16.67, , , , , 0.00, 0.00 # 1060 STEEL-4 36, 0.75, 2, 1.5, 6, 3, 2.0, 16.67, 1.0e+10 # 20 COMMENT # 28 END ***************************** END OF DATA SET 1 *****************************
C-105
King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 4 of 38 ISE, PLLC
WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 1 WB-STL4.DAT Wilburton Bridge Load Rating BEAM PROPERTIES STRAIGHT LINE WEB DEPTH VARIATION. SPAN NO. 1 SPAN LENGTH = 100.000 SPAN RATIO = 1.000 CONSTRUCTION STAGE 1 E= 29000. KSI WEB XSECT MOMENT OF DIST TO WIDTH OF WIDTH OF FLANGE THICKNESS FLANGE WIDTH POINT DIST DEPTH AREA INERTIA CENT(X) WEB TOP WEB BOT TOP BOT TOP BOT 1.000 .00 90.88 151.12 231066. 45.44 .563 .563 .000 .000 16.56 16.56 1.100 9.99 90.88 151.12 231066. 45.44 .563 .563 .000 .000 16.56 16.56 1.200 19.99 90.88 151.12 231066. 45.44 .563 .563 .000 .000 16.56 16.56 1.217 21.66 90.88 151.12 231066. 45.44 .563 .563 .000 .000 16.56 16.56 1.217 21.68 90.88 191.12 319195. 45.44 .563 .563 .000 .000 16.56 16.56 1.300 29.99 90.88 191.12 319195. 45.44 .563 .563 .000 .000 16.56 16.56 1.308 30.82 90.88 191.12 319195. 45.44 .563 .563 .000 .000 16.56 16.56 1.308 30.84 90.88 231.12 411119. 45.44 .563 .563 .000 .000 16.56 16.56 1.400 39.99 90.88 231.12 411119. 45.44 .563 .563 .000 .000 16.56 16.56 1.500 49.99 90.88 231.12 411119. 45.44 .563 .563 .000 .000 16.56 16.56 1.600 59.99 90.88 231.12 411119. 45.44 .563 .563 .000 .000 16.56 16.56 1.692 69.16 90.88 231.12 411119. 45.44 .563 .563 .000 .000 16.56 16.56 1.692 69.18 90.88 191.12 319195. 45.44 .563 .563 .000 .000 16.56 16.56 1.700 69.99 90.88 191.12 319195. 45.44 .563 .563 .000 .000 16.56 16.56 1.783 78.32 90.88 191.12 319195. 45.44 .563 .563 .000 .000 16.56 16.56 1.783 78.34 90.88 151.12 231066. 45.44 .563 .563 .000 .000 16.56 16.56 1.800 79.99 90.88 151.12 231066. 45.44 .563 .563 .000 .000 16.56 16.56 1.900 89.99 90.88 151.12 231066. 45.44 .563 .563 .000 .000 16.56 16.56 2.000 100.00 90.88 151.12 231066. 45.44 .563 .563 .000 .000 16.56 16.56 WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 2 WB-STL4.DAT Wilburton Bridge Load Rating BEAM PROPERTIES CONTINUE SPAN NO. 1 ____________________ ________________ __________________ __________ ____________ COVER PLT. THICKNESS COVER PLT. WIDTH DIST. - COVER PLT. AREA STEEL DIST.- STEEL POINT DIST TOP BOT TOP BOT TOP BOT TOP BOT TOP BOT 1.000 .00 1.00 1.00 20.00 20.00 .00 .00 .00 .00 .00 .00 1.100 9.99 1.00 1.00 20.00 20.00 .00 .00 .00 .00 .00 .00 1.200 19.99 1.00 1.00 20.00 20.00 .00 .00 .00 .00 .00 .00 1.217 21.66 1.00 1.00 20.00 20.00 .00 .00 .00 .00 .00 .00 1.217 21.68 2.00 2.00 20.00 20.00 .00 .00 .00 .00 .00 .00 1.300 29.99 2.00 2.00 20.00 20.00 .00 .00 .00 .00 .00 .00 1.308 30.82 2.00 2.00 20.00 20.00 .00 .00 .00 .00 .00 .00 1.308 30.84 3.00 3.00 20.00 20.00 .00 .00 .00 .00 .00 .00 1.400 39.99 3.00 3.00 20.00 20.00 .00 .00 .00 .00 .00 .00 1.500 49.99 3.00 3.00 20.00 20.00 .00 .00 .00 .00 .00 .00 1.600 59.99 3.00 3.00 20.00 20.00 .00 .00 .00 .00 .00 .00 1.692 69.16 3.00 3.00 20.00 20.00 .00 .00 .00 .00 .00 .00 1.692 69.18 2.00 2.00 20.00 20.00 .00 .00 .00 .00 .00 .00 1.700 69.99 2.00 2.00 20.00 20.00 .00 .00 .00 .00 .00 .00 1.783 78.32 2.00 2.00 20.00 20.00 .00 .00 .00 .00 .00 .00 1.783 78.34 1.00 1.00 20.00 20.00 .00 .00 .00 .00 .00 .00 1.800 79.99 1.00 1.00 20.00 20.00 .00 .00 .00 .00 .00 .00 1.900 89.99 1.00 1.00 20.00 20.00 .00 .00 .00 .00 .00 .00 2.000 100.00 1.00 1.00 20.00 20.00 .00 .00 .00 .00 .00 .00
C-106
King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 5 of 38 ISE, PLLC
WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 3 WB-STL4.DAT Wilburton Bridge Load Rating ** GIRDER ACTIONS DUE TO APPLIED STATIC LOAD ** ** CONSTRUCTION STAGE 1 ** ACTIONS AND DISPLACEMENTS FOR GIRDER WEIGHT LENGTH OF SPAN NO. 1 = 100.00 FEET DEFLECT. DEFLECT. POINT MOMENT AXIAL SHEAR REACTION X Y NO. K-FT KIPS KIPS KIPS FEET FEET 1.00R .0 .0 32.2 32.2 .00000 .00000 1.10 296.1 .0 27.0 .00000 .00421 1.20 540.7 .0 21.9 .00000 .00780 1.30 729.2 .0 15.5 .00000 .01036 1.40 847.1 .0 7.9 .00000 .01191 1.50 886.4 .0 .0 .00000 .01244 1.60 847.1 .0 -7.9 .00000 .01191 1.70 729.2 .0 -15.6 .00000 .01036 1.80 540.7 .0 -21.9 .00000 .00780 1.90 296.1 .0 -27.0 .00000 .00421 1.10L .0 .0 -32.2 32.2 .00000 .00000 Rotation at left end = .00043 Rotation at right end = -.00043 radians WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 4 WB-STL4.DAT Wilburton Bridge Load Rating ** GIRDER ACTIONS DUE TO APPLIED STATIC LOAD ** ** CONSTRUCTION STAGE 1 ** ACTIONS AND DISPLACEMENTS FOR SUPERIMPOSED DEAD LOAD GROUP #1 LENGTH OF SPAN NO. 1 = 100.00 FEET LOAD DESCRIPTION IS ** Conc. Deck, Curb, & Rail ** DEFLECT. DEFLECT. POINT MOMENT AXIAL SHEAR REACTION X Y NO. K-FT KIPS KIPS KIPS FEET FEET 1.00R .0 .0 41.0 41.0 .00000 .00000 1.10 369.0 .0 32.8 .00000 .00501 1.20 656.0 .0 24.6 .00000 .00925 1.30 861.7 .0 14.8 .00000 .01225 1.40 984.0 .0 8.2 .00000 .01404 1.50 1025.0 .0 .0 .00000 .01466 1.60 984.0 .0 -8.2 .00000 .01404 1.70 861.0 .0 -16.4 .00000 .01225 1.80 656.0 .0 -24.6 .00000 .00925 1.90 369.0 .0 -32.8 .00000 .00501 1.10L .0 .0 -41.0 41.0 .00000 .00000 Rotation at left end = .00052 Rotation at right end = -.00052 radians WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 5 WB-STL4.DAT Wilburton Bridge Load Rating ** GIRDER ACTIONS DUE TO APPLIED STATIC LOAD ** ** CONSTRUCTION STAGE 1 ** ACTIONS AND DISPLACEMENTS FOR SUPERIMPOSED DEAD LOAD GROUP #2 LENGTH OF SPAN NO. 1 = 100.00 FEET LOAD DESCRIPTION IS ** Crossbraces ** DEFLECT. DEFLECT. POINT MOMENT AXIAL SHEAR REACTION X Y NO. K-FT KIPS KIPS KIPS FEET FEET 1.00R .0 .0 2.8 2.8 .00000 .00000 1.10 27.7 .0 2.8 .00000 .00040 1.20 51.8 .0 1.7 .00000 .00073 1.30 68.5 .0 1.7 .00000 .00097 1.40 77.7 .0 .6 .00000 .00111 1.50 83.3 .0 -.6 .00000 .00116 1.60 77.7 .0 -.6 .00000 .00111 1.70 68.5 .0 -1.7 .00000 .00097 1.80 51.8 .0 -1.7 .00000 .00073 1.90 27.7 .0 -2.8 .00000 .00040 1.10L .0 .0 -2.8 2.8 .00000 .00000 Rotation at left end = .00004 Rotation at right end = -.00004 radians
C-107
King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 6 of 38 ISE, PLLC
WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 6 WB-STL4.DAT Wilburton Bridge Load Rating ** GIRDER ACTIONS DUE TO APPLIED STATIC LOAD ** ** CONSTRUCTION STAGE 1 ** ACTIONS AND DISPLACEMENTS FOR SUPERIMPOSED DEAD LOAD GROUP #3 LENGTH OF SPAN NO. 1 = 100.00 FEET LOAD DESCRIPTION IS ** Two Utilities ** DEFLECT. DEFLECT. POINT MOMENT AXIAL SHEAR REACTION X Y NO. K-FT KIPS KIPS KIPS FEET FEET 1.00R .0 .0 1.5 1.5 .00000 .00000 1.10 13.5 .0 1.2 .00000 .00018 1.20 24.0 .0 .9 .00000 .00034 1.30 31.5 .0 .6 .00000 .00045 1.40 36.0 .0 .3 .00000 .00051 1.50 37.5 .0 .0 .00000 .00054 1.60 36.0 .0 -.3 .00000 .00051 1.70 31.5 .0 -.6 .00000 .00045 1.80 24.0 .0 -.9 .00000 .00034 1.90 13.5 .0 -1.2 .00000 .00018 1.10L .0 .0 -1.5 1.5 .00000 .00000 Rotation at left end = .00002 Rotation at right end = -.00002 radians WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 7 WB-STL4.DAT Wilburton Bridge Load Rating ** GIRDER ACTIONS DUE TO APPLIED LIVE LOADS ** ** CONSTRUCTION STAGE 1 ** LENGTH OF SPAN NO. 1 = 100.00 FEET MAX ACTIONS AND DISPLACEMENTS FOR LIVE LOAD NO. 1: AASHTO HS20-44 (MS 18) TRUCK WHEEL DISTRIBUTION FACTOR = 1.500 POINT POS NEG POS NEG POS NEG POS NEG POS NEG POS NEG POS NEG MOMENT MOMENT AXIAL AXIAL SHEAR SHEAR REACT. REACT. X X Y Y REACT. REACT. DEF. DEF. DEF. DEF IMPACT IMPACT K-FT K-FT KIPS KIPS KIPS KIPS KIPS KIPS FEET FEET FEET FEET % % 1.00R .0 .0 .0 .0 53.3 .0 53.3 .0 .0000 .0000 .0000 .0000 10.00 .00 1.10 479.2 .0 .0 .0 47.9 -2.6 .0000 .0000 .0053 .0000 1.20 839.6 .0 .0 .0 42.0 -6.9 .0000 .0000 .0099 .0000 1.30 1081.1 .0 .0 .0 36.0 -12.3 .0000 .0000 .0132 .0000 1.40 1222.3 .0 .0 .0 30.1 -18.2 .0000 .0000 .0152 .0000 1.50 1254.0 .0 .0 .0 24.2 -24.2 .0000 .0000 .0158 .0000 1.60 1222.3 .0 .0 .0 18.2 -30.1 .0000 .0000 .0152 .0000 1.70 1081.1 .0 .0 .0 11.9 -36.0 .0000 .0000 .0132 .0000 1.80 839.5 .0 .0 .0 6.8 -42.0 .0000 .0000 .0099 .0000 1.90 479.2 .0 .0 .0 2.6 -47.9 .0000 .0000 .0053 .0000 1.10L .0 .0 .0 .0 .0 -53.3 53.3 .0 .0000 .0000 .0000 .0000 10.00 .00 Pos. Rotation at left end = .00054 Pos. Rotation at right end = .00000 radians Neg. Rotation at left end = .00000 Neg. Rotation at right end = -.00054 radians Note: Deflections include impact and are based on the same wheel fraction as moment and shear, etc. No compensation made for multiple girders or total I. See Command 880 LIVE_LOAD WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 8 WB-STL4.DAT Wilburton Bridge Load Rating ** GIRDER ACTIONS DUE TO APPLIED LIVE LOADS ** ** CONSTRUCTION STAGE 1 ** LENGTH OF SPAN NO. 1 = 100.00 FEET MAX ACTIONS AND DISPLACEMENTS FOR LIVE LOAD NO. 2: AASHTO HS20-44 (MS 18) LANE WHEEL DISTRIBUTION FACTOR = 1.500 POINT POS NEG POS NEG POS NEG POS NEG POS NEG POS NEG POS NEG MOMENT MOMENT AXIAL AXIAL SHEAR SHEAR REACT. REACT. X X Y Y REACT. REACT. DEF. DEF. DEF. DEF IMPACT IMPACT K-FT K-FT KIPS KIPS KIPS KIPS KIPS KIPS FEET FEET FEET FEET % % 1.00R .0 .0 .0 .0 47.4 .0 47.4 .0 .0000 .0000 .0000 .0000 10.00 .00 1.10 371.2 .0 .0 .0 40.9 -2.4 .0000 .0000 .0046 .0000 1.20 659.9 .0 .0 .0 34.3 -5.4 .0000 .0000 .0085 .0000 1.30 866.2 .0 .0 .0 28.1 -8.9 .0000 .0000 .0113 .0000 1.40 989.9 .0 .0 .0 22.5 -12.9 .0000 .0000 .0130 .0000 1.50 1031.1 .0 .0 .0 17.5 -17.5 .0000 .0000 .0136 .0000 1.60 989.8 .0 .0 .0 12.9 -22.5 .0000 .0000 .0130 .0000 1.70 866.1 .0 .0 .0 8.7 -28.1 .0000 .0000 .0113 .0000 1.80 659.8 .0 .0 .0 5.4 -34.3 .0000 .0000 .0085 .0000 1.90 371.0 .0 .0 .0 2.4 -40.9 .0000 .0000 .0046 .0000 1.10L .0 .0 .0 .0 .0 -47.1 47.4 .0 .0000 .0000 .0000 .0000 10.00 .00 Pos. Rotation at left end = .00047 Pos. Rotation at right end = .00000 radians Neg. Rotation at left end = .00000 Neg. Rotation at right end = .00000 radians
C-108
King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 7 of 38 ISE, PLLC
WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 9 WB-STL4.DAT Wilburton Bridge Load Rating ** GIRDER ACTIONS DUE TO APPLIED LIVE LOADS ** ** CONSTRUCTION STAGE 1 ** LENGTH OF SPAN NO. 1 = 100.00 FEET MAX ACTIONS AND DISPLACEMENTS FOR LIVE LOAD NO. 3: SPECIAL-LOAD WHEEL DISTRIBUTION FACTOR = 1.500 POINT POS NEG POS NEG POS NEG POS NEG POS NEG POS NEG POS NEG MOMENT MOMENT AXIAL AXIAL SHEAR SHEAR REACT. REACT. X X Y Y REACT. REACT. DEF. DEF. DEF. DEF IMPACT IMPACT K-FT K-FT KIPS KIPS KIPS KIPS KIPS KIPS FEET FEET FEET FEET % % 1.00R .0 .0 .0 .0 37.8 .0 37.8 .0 .0000 .0000 .0000 .0000 10.00 .00 1.10 340.6 .0 .0 .0 34.1 -2.2 .0000 .0000 .0037 .0000 1.20 598.6 .0 .0 .0 29.9 -5.2 .0000 .0000 .0069 .0000 1.30 774.2 .0 .0 .0 25.8 -9.3 .0000 .0000 .0092 .0000 1.40 877.1 .0 .0 .0 21.7 -13.4 .0000 .0000 .0106 .0000 1.50 904.2 .0 .0 .0 17.6 -17.6 .0000 .0000 .0111 .0000 1.60 877.1 .0 .0 .0 13.4 -21.7 .0000 .0000 .0106 .0000 1.70 774.2 .0 .0 .0 9.3 -25.8 .0000 .0000 .0092 .0000 1.80 598.6 .0 .0 .0 5.2 -29.9 .0000 .0000 .0069 .0000 1.90 340.6 .0 .0 .0 2.2 -34.1 .0000 .0000 .0037 .0000 1.10L .0 .0 .0 .0 .0 -37.8 37.8 .0 .0000 .0000 .0000 .0000 10.00 .00 Pos. Rotation at left end = .00038 Pos. Rotation at right end = .00000 radians Neg. Rotation at left end = .00000 Neg. Rotation at right end = -.00038 radians WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 10 WB-STL4.DAT Wilburton Bridge Load Rating ** GIRDER ACTIONS DUE TO APPLIED LIVE LOADS ** ** CONSTRUCTION STAGE 1 ** LENGTH OF SPAN NO. 1 = 100.00 FEET MAX ACTIONS AND DISPLACEMENTS FOR LIVE LOAD NO. 4: SPECIAL-LOAD WHEEL DISTRIBUTION FACTOR = 1.500 POINT POS NEG POS NEG POS NEG POS NEG POS NEG POS NEG POS NEG MOMENT MOMENT AXIAL AXIAL SHEAR SHEAR REACT. REACT. X X Y Y REACT. REACT. DEF. DEF. DEF. DEF IMPACT IMPACT K-FT K-FT KIPS KIPS KIPS KIPS KIPS KIPS FEET FEET FEET FEET % % 1.00R .0 .0 .0 .0 47.8 .0 47.8 .0 .0000 .0000 .0000 .0000 10.00 .00 1.10 424.0 .0 .0 .0 42.4 -2.0 .0000 .0000 .0050 .0000 1.20 729.3 .0 .0 .0 36.5 -4.6 .0000 .0000 .0093 .0000 1.30 953.8 .0 .0 .0 30.5 -7.6 .0000 .0000 .0123 .0000 1.40 1075.1 .0 .0 .0 24.6 -12.8 .0000 .0000 .0141 .0000 1.50 1090.7 .0 .0 .0 18.6 -18.6 .0000 .0000 .0147 .0000 1.60 1075.2 .0 .0 .0 12.8 -24.6 .0000 .0000 .0141 .0000 1.70 953.7 .0 .0 .0 7.7 -30.5 .0000 .0000 .0123 .0000 1.80 729.3 .0 .0 .0 4.6 -36.5 .0000 .0000 .0093 .0000 1.90 424.0 .0 .0 .0 2.0 -42.4 .0000 .0000 .0050 .0000 1.10L .0 .0 .0 .0 .0 -47.8 47.8 .0 .0000 .0000 .0000 .0000 10.00 .00 Pos. Rotation at left end = .00051 Pos. Rotation at right end = .00000 radians Neg. Rotation at left end = .00000 Neg. Rotation at right end = -.00051 radians WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 11 WB-STL4.DAT Wilburton Bridge Load Rating ** GIRDER ACTIONS DUE TO APPLIED LIVE LOADS ** ** CONSTRUCTION STAGE 1 ** LENGTH OF SPAN NO. 1 = 100.00 FEET MAX ACTIONS AND DISPLACEMENTS FOR LIVE LOAD NO. 5: SPECIAL-LOAD WHEEL DISTRIBUTION FACTOR = 1.500 POINT POS NEG POS NEG POS NEG POS NEG POS NEG POS NEG POS NEG MOMENT MOMENT AXIAL AXIAL SHEAR SHEAR REACT. REACT. X X Y Y REACT. REACT. DEF. DEF. DEF. DEF IMPACT IMPACT K-FT K-FT KIPS KIPS KIPS KIPS KIPS KIPS FEET FEET FEET FEET % % 1.00R .0 .0 .0 .0 49.6 .0 49.6 .0 .0000 .0000 .0000 .0000 10.00 .00 1.10 436.3 .0 .0 .0 43.6 -1.8 .0000 .0000 .0052 .0000 1.20 747.1 .0 .0 .0 37.0 -4.2 .0000 .0000 .0097 .0000 1.30 945.8 .0 .0 .0 30.4 -7.8 .0000 .0000 .0128 .0000 1.40 1065.3 .0 .0 .0 23.8 -12.0 .0000 .0000 .0147 .0000 1.50 1105.5 .0 .0 .0 17.6 -17.6 .0000 .0000 .0153 .0000 1.60 1065.3 .0 .0 .0 12.0 -23.8 .0000 .0000 .0147 .0000 1.70 945.8 .0 .0 .0 7.7 -30.4 .0000 .0000 .0128 .0000 1.80 747.1 .0 .0 .0 4.1 -37.0 .0000 .0000 .0097 .0000 1.90 436.3 .0 .0 .0 1.8 -43.6 .0000 .0000 .0052 .0000 1.10L .0 .0 .0 .0 .0 -49.6 49.6 .0 .0000 .0000 .0000 .0000 10.00 .00 Pos. Rotation at left end = .00054 Pos. Rotation at right end = .00000 radians Neg. Rotation at left end = .00000 Neg. Rotation at right end = -.00054 radians
C-109
King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 8 of 38 ISE, PLLC
WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 12 WB-STL4.DAT Wilburton Bridge Load Rating ** GIRDER ACTIONS DUE TO APPLIED LIVE LOADS ** ** CONSTRUCTION STAGE 1 ** LENGTH OF SPAN NO. 1 = 100.00 FEET MAX ACTIONS AND DISPLACEMENTS FOR LIVE LOAD NO. 6: SPECIAL-LOAD WHEEL DISTRIBUTION FACTOR = 1.500 POINT POS NEG POS NEG POS NEG POS NEG POS NEG POS NEG POS NEG MOMENT MOMENT AXIAL AXIAL SHEAR SHEAR REACT. REACT. X X Y Y REACT. REACT. DEF. DEF. DEF. DEF IMPACT IMPACT K-FT K-FT KIPS KIPS KIPS KIPS KIPS KIPS FEET FEET FEET FEET % % 1.00R .0 .0 .0 .0 46.6 .0 46.6 .0 .0000 .0000 .0000 .0000 10.00 .00 1.10 419.8 .0 .0 .0 42.0 -2.4 .0000 .0000 .0046 .0000 1.20 737.2 .0 .0 .0 36.9 -6.4 .0000 .0000 .0086 .0000 1.30 957.7 .0 .0 .0 31.7 -11.2 .0000 .0000 .0115 .0000 1.40 1091.0 .0 .0 .0 26.6 -16.4 .0000 .0000 .0132 .0000 1.50 1122.0 .0 .0 .0 21.5 -21.5 .0000 .0000 .0138 .0000 1.60 1091.0 .0 .0 .0 16.4 -26.6 .0000 .0000 .0132 .0000 1.70 957.7 .0 .0 .0 11.4 -31.7 .0000 .0000 .0115 .0000 1.80 737.2 .0 .0 .0 6.3 -36.9 .0000 .0000 .0086 .0000 1.90 419.8 .0 .0 .0 2.4 -42.0 .0000 .0000 .0046 .0000 1.10L .0 .0 .0 .0 .0 -46.6 46.6 .0 .0000 .0000 .0000 .0000 10.00 .00 Pos. Rotation at left end = .00047 Pos. Rotation at right end = .00000 radians Neg. Rotation at left end = .00000 Neg. Rotation at right end = -.00047 radians WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 13 WB-STL4.DAT Wilburton Bridge Load Rating ** GIRDER ACTIONS DUE TO APPLIED LIVE LOADS ** ** CONSTRUCTION STAGE 1 ** LENGTH OF SPAN NO. 1 = 100.00 FEET MAX ACTIONS AND DISPLACEMENTS FOR LIVE LOAD NO. 7: SPECIAL-LOAD WHEEL DISTRIBUTION FACTOR = 1.500 POINT POS NEG POS NEG POS NEG POS NEG POS NEG POS NEG POS NEG MOMENT MOMENT AXIAL AXIAL SHEAR SHEAR REACT. REACT. X X Y Y REACT. REACT. DEF. DEF. DEF. DEF IMPACT IMPACT K-FT K-FT KIPS KIPS KIPS KIPS KIPS KIPS FEET FEET FEET FEET % % 1.00R .0 .0 .0 .0 40.8 .0 40.8 .0 .0000 .0000 .0000 .0000 10.00 .00 1.10 368.2 .0 .0 .0 36.8 -2.4 .0000 .0000 .0040 .0000 1.20 647.2 .0 .0 .0 32.4 -5.6 .0000 .0000 .0075 .0000 1.30 837.2 .0 .0 .0 27.9 -10.1 .0000 .0000 .0100 .0000 1.40 946.7 .0 .0 .0 23.5 -14.5 .0000 .0000 .0115 .0000 1.50 980.7 .0 .0 .0 19.0 -19.0 .0000 .0000 .0120 .0000 1.60 946.7 .0 .0 .0 14.5 -23.5 .0000 .0000 .0115 .0000 1.70 837.2 .0 .0 .0 10.0 -27.9 .0000 .0000 .0100 .0000 1.80 647.2 .0 .0 .0 5.6 -32.4 .0000 .0000 .0075 .0000 1.90 368.2 .0 .0 .0 2.4 -36.8 .0000 .0000 .0040 .0000 1.10L .0 .0 .0 .0 .0 -40.8 40.8 .0 .0000 .0000 .0000 .0000 10.00 .00 Pos. Rotation at left end = .00041 Pos. Rotation at right end = .00000 radians Neg. Rotation at left end = .00000 Neg. Rotation at right end = -.00041 radians WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 14 WB-STL4.DAT Wilburton Bridge Load Rating ** GIRDER ACTIONS DUE TO APPLIED LIVE LOADS ** ** CONSTRUCTION STAGE 1 ** LENGTH OF SPAN NO. 1 = 100.00 FEET MAX ACTIONS AND DISPLACEMENTS FOR LIVE LOAD NO. 8: SPECIAL-LOAD WHEEL DISTRIBUTION FACTOR = 1.500 POINT POS NEG POS NEG POS NEG POS NEG POS NEG POS NEG POS NEG MOMENT MOMENT AXIAL AXIAL SHEAR SHEAR REACT. REACT. X X Y Y REACT. REACT. DEF. DEF. DEF. DEF IMPACT IMPACT K-FT K-FT KIPS KIPS KIPS KIPS KIPS KIPS FEET FEET FEET FEET % % 1.00R .0 .0 .0 .0 41.9 .0 41.9 .0 .0000 .0000 .0000 .0000 10.00 .00 1.10 378.3 .0 .0 .0 37.8 -2.1 .0000 .0000 .0041 .0000 1.20 665.9 .0 .0 .0 33.3 -6.1 .0000 .0000 .0077 .0000 1.30 862.7 .0 .0 .0 28.8 -10.5 .0000 .0000 .0103 .0000 1.40 991.4 .0 .0 .0 24.2 -15.1 .0000 .0000 .0119 .0000 1.50 1029.4 .0 .0 .0 19.7 -19.7 .0000 .0000 .0124 .0000 1.60 991.4 .0 .0 .0 15.1 -24.2 .0000 .0000 .0119 .0000 1.70 862.8 .0 .0 .0 10.6 -28.8 .0000 .0000 .0103 .0000 1.80 665.9 .0 .0 .0 6.0 -33.3 .0000 .0000 .0077 .0000 1.90 378.3 .0 .0 .0 2.1 -37.8 .0000 .0000 .0041 .0000 1.10L .0 .0 .0 .0 .0 -41.9 41.9 .0 .0000 .0000 .0000 .0000 10.00 .00 Pos. Rotation at left end = .00042 Pos. Rotation at right end = .00000 radians Neg. Rotation at left end = .00000 Neg. Rotation at right end = -.00042 radians
C-110
King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 9 of 38 ISE, PLLC
WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 15 WB-STL4.DAT Wilburton Bridge Load Rating ** GIRDER ACTIONS DUE TO APPLIED LIVE LOADS ** ** CONSTRUCTION STAGE 1 ** LENGTH OF SPAN NO. 1 = 100.00 FEET MAX ACTIONS AND DISPLACEMENTS FOR LIVE LOAD NO. 9: SPECIAL-LOAD WHEEL DISTRIBUTION FACTOR = 1.500 POINT POS NEG POS NEG POS NEG POS NEG POS NEG POS NEG POS NEG MOMENT MOMENT AXIAL AXIAL SHEAR SHEAR REACT. REACT. X X Y Y REACT. REACT. DEF. DEF. DEF. DEF IMPACT IMPACT K-FT K-FT KIPS KIPS KIPS KIPS KIPS KIPS FEET FEET FEET FEET % % 1.00R .0 .0 .0 .0 37.4 .0 37.4 .0 .0000 .0000 .0000 .0000 10.00 .00 1.10 337.6 .0 .0 .0 33.8 -2.0 .0000 .0000 .0037 .0000 1.20 593.5 .0 .0 .0 29.7 -5.2 .0000 .0000 .0069 .0000 1.30 767.7 .0 .0 .0 25.6 -9.3 .0000 .0000 .0092 .0000 1.40 873.9 .0 .0 .0 21.5 -13.3 .0000 .0000 .0106 .0000 1.50 905.2 .0 .0 .0 17.4 -17.4 .0000 .0000 .0111 .0000 1.60 873.9 .0 .0 .0 13.3 -21.5 .0000 .0000 .0106 .0000 1.70 767.7 .0 .0 .0 9.4 -25.6 .0000 .0000 .0092 .0000 1.80 593.5 .0 .0 .0 5.2 -29.7 .0000 .0000 .0069 .0000 1.90 337.6 .0 .0 .0 2.0 -33.8 .0000 .0000 .0037 .0000 1.10L .0 .0 .0 .0 .0 -37.4 37.4 .0 .0000 .0000 .0000 .0000 10.00 .00 Pos. Rotation at left end = .00038 Pos. Rotation at right end = .00000 radians Neg. Rotation at left end = .00000 Neg. Rotation at right end = -.00038 radians WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 16 WB-STL4.DAT Wilburton Bridge Load Rating ** GIRDER ACTIONS DUE TO APPLIED LIVE LOADS ** ** CONSTRUCTION STAGE 1 ** LENGTH OF SPAN NO. 1 = 100.00 FEET MAX ACTIONS AND DISPLACEMENTS FOR LIVE LOAD NO. 10: SPECIAL-LOAD WHEEL DISTRIBUTION FACTOR = 1.500 POINT POS NEG POS NEG POS NEG POS NEG POS NEG POS NEG POS NEG MOMENT MOMENT AXIAL AXIAL SHEAR SHEAR REACT. REACT. X X Y Y REACT. REACT. DEF. DEF. DEF. DEF IMPACT IMPACT K-FT K-FT KIPS KIPS KIPS KIPS KIPS KIPS FEET FEET FEET FEET % % 1.00R .0 .0 .0 .0 89.3 .0 89.3 .0 .0000 .0000 .0000 .0000 10.00 .00 1.10 793.5 .0 .0 .0 79.4 -4.0 .0000 .0000 .0090 .0000 1.20 1366.2 .0 .0 .0 68.3 -10.6 .0000 .0000 .0167 .0000 1.30 1761.5 .0 .0 .0 57.2 -17.0 .0000 .0000 .0221 .0000 1.40 1936.3 .0 .0 .0 46.2 -25.2 .0000 .0000 .0252 .0000 1.50 1933.2 .0 .0 .0 35.2 -35.2 .0000 .0000 .0261 .0000 1.60 1936.3 .0 .0 .0 25.2 -46.2 .0000 .0000 .0252 .0000 1.70 1761.5 .0 .0 .0 17.6 -57.2 .0000 .0000 .0221 .0000 1.80 1366.2 .0 .0 .0 10.5 -68.3 .0000 .0000 .0167 .0000 1.90 793.5 .0 .0 .0 4.0 -79.4 .0000 .0000 .0090 .0000 1.10L .0 .0 .0 .0 .0 -89.3 89.3 .0 .0000 .0000 .0000 .0000 10.00 .00 Pos. Rotation at left end = .00092 Pos. Rotation at right end = .00000 radians Neg. Rotation at left end = .00000 Neg. Rotation at right end = -.00092 radians WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 17 WB-STL4.DAT Wilburton Bridge Load Rating ** TOTAL GIRDER ACTIONS AND DISPLACEMENTS FOR STAGE 1 ** COMBINED UNFACTORED DEAD LOAD ACTIONS LENGTH OF SPAN NO. 1 = 100.00 FEET MAX MIN MAX MIN MAX MIN POINT MOMENT MOMENT AXIAL AXIAL SHEAR SHEAR REACTION DEFLECTION NO. (ft-kips) (ft-kips) (kips) (kips) (kips) (kips) (kips) (feet) 1.00R .0 .0 .0 .0 77.5 .0 77.5 .0000 1.10 706.3 .0 .0 .0 63.8 .0 .0098 1.20 1272.5 .0 .0 .0 49.0 .0 .0181 1.30 1690.8 .0 .0 .0 32.6 .0 .0240 1.40 1944.8 .0 .0 .0 16.9 .0 .0276 1.50 2032.2 .0 .0 .0 .0 -.6 .0288 1.60 1944.8 .0 .0 .0 .0 -16.9 .0276 1.70 1690.1 .0 .0 .0 .0 -34.3 .0240 1.80 1272.5 .0 .0 .0 .0 -49.1 .0181 1.90 706.3 .0 .0 .0 .0 -63.8 .0098 1.10L .0 .0 .0 .0 .0 -77.5 77.5 .0000
C-111
King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 10 of 38 ISE, PLLC
WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 18 WB-STL4.DAT Wilburton Bridge Load Rating ** TOTAL GIRDER ACTIONS AND DISPLACEMENTS FOR STAGE 1 ** DEAD LOAD + CONTROLLING UNFACTORED LIVE LOAD ACTIONS LENGTH OF SPAN NO. 1 = 100.00 FEET GOVERNING LIVE LOAD NUMBER IS SHOWN IN PARENTHESIS MAX MIN MAX MIN MAX MIN MAX MIN MAX MIN POINT MOMENT MOMENT AXIAL AXIAL SHEAR SHEAR REACTION REACTION DEFLECT. DEFLECT. K-FT K-FT KIPS KIPS KIPS KIPS KIPS KIPS FEET FEET 1.00R .0 .0 .0 .0 89.3 .0 89.3 .0 .00000 .00000 (10) (10) ( 1) ( 1) (10) ( 1) (10) ( 1) (10) ( 1) 1.10 793.5 .0 .0 .0 79.4 -4.0 .00899 .00000 (10) ( 1) ( 1) ( 1) (10) (10) (10) ( 1) 1.20 1366.2 .0 .0 .0 68.3 -10.6 .01665 .00000 (10) ( 1) ( 1) ( 1) (10) (10) (10) ( 1) 1.30 1761.5 .0 .0 .0 57.2 -17.0 .02205 .00000 (10) ( 1) ( 1) ( 1) (10) (10) (10) ( 1) 1.40 1936.3 .0 .0 .0 46.2 -25.2 .02518 .00000 (10) ( 1) ( 1) ( 1) (10) (10) (10) ( 1) 1.50 1933.2 .0 .0 .0 35.2 -35.2 .02612 .00000 (10) ( 1) ( 1) ( 1) (10) (10) (10) ( 1) 1.60 1936.3 .0 .0 .0 25.2 -46.2 .02518 .00000 (10) ( 1) ( 1) ( 1) (10) (10) (10) ( 1) 1.70 1761.5 .0 .0 .0 17.6 -57.2 .02205 .00000 (10) ( 1) ( 1) ( 1) (10) (10) (10) ( 1) 1.80 1366.2 .0 .0 .0 10.5 -68.3 .01665 .00000 (10) ( 1) ( 1) ( 1) (10) (10) (10) ( 1) 1.90 793.5 .0 .0 .0 4.0 -79.4 .00899 .00000 (10) ( 1) ( 1) ( 1) (10) (10) (10) ( 1) 1.10L .0 .0 .0 .0 .0 -89.3 89.3 .0 .00000 .00000 (10) ( 1) ( 1) ( 1) ( 1) (10) (10) ( 1) (10) ( 1) WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 19 WB-STL4.DAT Wilburton Bridge Load Rating ** TOTAL GIRDER ACTIONS AND DISPLACEMENTS FOR ALL DEAD LOADS AND MAXIMUM LIVE LOADS ** LOAD LEVEL NO. 1: 1.00( 1.25 * D + 1.40 * L ) LENGTH OF SPAN NO. 1 = 100.00 FEET GOVERNING LIVE LOAD NUMBER IS SHOWN IN PARENTHESIS MAX MIN MAX MIN MAX MIN MAX MIN MAX MIN POINT MOMENT MOMENT AXIAL AXIAL SHEAR SHEAR REACTION REACTION DEFLECT. DEFLECT. K-FT K-FT KIPS KIPS KIPS KIPS KIPS KIPS FEET FEET 1.00R .0 .0 .0 .0 221.8 96.8 221.8 96.8 .00000 .00000 (10) (10) ( 1) ( 1) (10) ( 1) (10) ( 1) (10) ( 1) 1.10 1993.8 882.9 .0 .0 190.9 74.2 .02485 .01226 (10) ( 1) ( 1) ( 1) (10) (10) (10) ( 1) 1.20 3503.3 1590.6 .0 .0 156.9 46.5 .04596 .02265 (10) ( 1) ( 1) ( 1) (10) (10) (10) ( 1) 1.30 4579.6 2113.5 .0 .0 120.8 16.9 .06090 .03003 (10) ( 1) ( 1) ( 1) (10) (10) (10) ( 1) 1.40 5141.8 2431.0 .0 .0 85.8 -14.1 .06972 .03447 (10) ( 1) ( 1) ( 1) (10) (10) (10) ( 1) 1.50 5246.8 2540.2 .0 .0 48.6 -50.0 .07256 .03599 (10) ( 1) ( 1) ( 1) (10) (10) (10) ( 1) 1.60 5141.8 2431.0 .0 .0 14.1 -85.8 .06972 .03447 (10) ( 1) ( 1) ( 1) (10) (10) (10) ( 1) 1.70 4578.7 2112.6 .0 .0 -18.2 -123.0 .06090 .03003 (10) ( 1) ( 1) ( 1) (10) (10) (10) ( 1) 1.80 3503.3 1590.6 .0 .0 -46.6 -156.9 .04596 .02265 (10) ( 1) ( 1) ( 1) (10) (10) (10) ( 1) 1.90 1993.8 882.9 .0 .0 -74.2 -190.9 .02485 .01226 (10) ( 1) ( 1) ( 1) (10) (10) (10) ( 1) 1.10L .0 .0 .0 .0 -96.8 -221.8 221.8 96.8 .00000 .00000 (10) ( 1) ( 1) ( 1) ( 1) (10) (10) ( 1) (10) ( 1) This begins the analysis for shear capacity for truck no. 1, Load Level No. 1 Stage No. 1 Analysis point number 100.000 Performing Rating Factor Calculations Analysis Point: 100.00 Load Level : 1 Truck No. : 1 - AASHTO HS20-44 (MS 18) TRUCK Load Factors: Gamma = 1.00 Phi(flexure) = .90 Beta (DL) = 1.25 Phi(shear) = .90 Beta (LL) = 1.40 Phi(bearing) = 1.00 The program now calls for stiffener checks and shear calculations based on the allowable moment
C-112
King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 11 of 38 ISE, PLLC
PERFORMING AASHTO SPECIFICATION CHECKS - 10.48.7 Bearing Stiffeners CONSTRUCTION STAGE: 1 ANALYSIS POINT : 100.00 AASHTO REFERENCE: 10.34.6.1 - Bearing Stiffener Thickness EQUATION NO. : (10-35) Input Parameters: b’ = 6.000 (in) Fy = 36000. (psi) AASHTO Min. thickness, b’/12 * sqrt(Fy/33,000) = .5222 Actual Bearing Stiffener Thickness: b’ = 1.5000 Return Code : pass AASHTO REFERENCE: Bearing Stiffener Strength Input Parameters: Bearing Stiffener Thickness (bst) = 1.500 (in) Bearing Stiffener Width (bsw) = 6.000 (in) Bearing Stiffener Clip (bcl) = .750 (in) Bearing Stiffener Yield (Fy) = 36000.0 (psi) Web Thickness (tw) = .563 (in) Calculated Properties - AASHTO 10.34.6 A = 2[(bsw * bst)] + (18 * tw^2) = 23.695 (in^2) I = 2[1/12(bst)(bsw)^3 + (bst)(bsw)(bsw/2 + tw/2)^2 + 1/12(18tw)(tw)^3 = 247.949 (in^4) r = sqrt(I/A) = 3.235 (in) Slenderness Ratio (K * Lc)/r [AASHTO 10.54.1.1] K = .875 (conservatively assume pinned) [AASHTO 10.54.1.2] Lc = 90.875 (in) (K * Lc)/r = 24.581 Slenderness limit sqrt[(2 * pi^2 * E)/Fy ] [AASHTO 10.54.1.1] Limit = 126.099 Bearing Stiffener acts as a short column [AASHTO (10-151)] Effective Area (As) = 21.45 (in^2) Fcr = 35316.01 (psi) [AASHTO (10-151)] Pu = 643.76 (kips) [AASHTO (10-150)] Factored Reaction = 171.38 (kips) Return Code : pass PERFORMING AASHTO SPECIFICATION CHECKS - 10.48.5 Transversely Stiffened Girders CONSTRUCTION STAGE: 1 ANALYSIS POINT : 100.00 AASHTO REFERENCE: 10.48.5.1 - Web thickness EQUATION NO. : (10-104) or (10-120) Is the section symmetric : no Input Parameters: Dc = .000 (in) tw = .563 (in) Fy = 36000. (psi) AASHTO Limit : 18,250/sqrt(Fy) = 96.1859 Calculated Value: Dc/tw = .0000 Return Code : pass PERFORMING AASHTO SPECIFICATION CHECKS - 10.48.8 Shear CONSTRUCTION STAGE: 1 ANALYSIS POINT : 100.00 Input Parameters: Top Flange Width = 16.563 (in) Bottom Flange Width = 16.563 (in) Web Thickness = .563 (in) Web Depth = 90.875 (in) Web Yield Strength = 36000.00 (psi) Hybrid Girder (yes/no) : no Transverse Stiffeners Provided (yes/no) : yes Transverse Stiffener Spacing = 100.00 (in) Calculated Values: k = 9.1291 C = .4372 [AASHTO (10-117)] C based on k = 5 = .2395 (unstiffened web) do/D = 1.10 Vp = 1067.33 (kips) [AASHTO (10-115)] Calculated Ultimate Shear Capacity (Vu) Vu = 818.11 (kips) [AASHTO (10-114)] AASHTO REFERENCE: 10.48.8.1 - Girder Shear Load Level No.: 1: 1.00( 1.25 * D + 1.40 * L ) Truck No. : 1 - AASHTO HS20-44 (MS 18) TRUCK Input Parameters: v = 171.38 (kips) Vu = 818.11 (kips) Is the actual shear less than the limit : yes Return Code : pass AASHTO REFERENCE: 10.48.5.3 - Width-to-thickness ratio EQUATION NO. : (10-105)
C-113
King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 12 of 38 ISE, PLLC
Input Parameters: b’ = 6.000 (in) t = .750 (in) Fy = 36000. (psi) AASHTO Limit : 2,600/sqrt(Fy) = 13.7032 Calculated Value: b’/t = 8.0000 Return Code : pass AASHTO REFERENCE: 10.48.5.3 - Transverse Stiffener Area EQUATION NO. : (10-106) Load Level No.: 1: 1.00( 1.25 * D + 1.40 * L ) Truck No. : 1 - AASHTO HS20-44 (MS 18) TRUCK Input Parameters: B = 1.80 D = 90.875 (in) tw = .563 C = .44 V = 171.38 (kips) Vu = 818.11 (kips) Y = 1.00 AASHTO Limit : A = -4.0682 Actual stiffener area = 4.5000 Return Code : pass AASHTO REFERENCE: 10.48.5.3 - Trans. Stiff. Moment of Inertia EQUATION NO. : (10-107) Input Parameters: do = 100.000 (in) D = 90.875 (in) tw = .563 (in) J = .500 AASHTO Limit : I = do * tw^3 * J = 8.899 (in^4) Calculated Value: I(actual) = 54.000 Return Code : pass Strength Rating Factor - Shear Dead Load Shear = 77.45 (kips) Live Load Shear = 53.26 (kips) Nominal Capacity Vn = 818.11 (kips) R.F. = [(Phi(shear) * Vn) - (Gamma * Beta(DL) * DLV)] ---------------------------------------------- (Gamma * Beta(LL) * LLV) R.F. = 8.58 Pos & neg shear both checked, only controlling data printed. Strength Rating Factor - Bearing Stiffeners Bearing Strength (BS) = 643.76 (kips) Dead Load Reaction (DLR) = 77.45 (kips) Live Load Reaction (LLR) = 53.26 (kips) R.F. = [(Phi(bearing) * BS) - (Gamma * Beta(DL) * DLR)] ------------------------------------------------ (Gamma * Beta(LL) * LLR) R.F. = 7.33 End of rating intermediate output for load case 1 truck no. 1 This begins the analysis for shear capacity for truck no. 2, Load Level No. 1 Stage No. 1 Analysis point number 100.000 Performing Rating Factor Calculations Analysis Point: 100.00 Load Level : 1 Truck No. : 2 - AASHTO HS20-44 (MS 18) LANE Load Factors: Gamma = 1.00 Phi(flexure) = .90 Beta (DL) = 1.25 Phi(shear) = .90 Beta (LL) = 1.40 Phi(bearing) = 1.00 The program now calls for stiffener checks and shear calculations based on the allowable moment Calculated Values: k = 9.1291 C = .4372 [AASHTO (10-117)] C based on k = 5 = .2395 (unstiffened web) do/D = 1.10 Vp = 1067.33 (kips) [AASHTO (10-115)] Calculated Ultimate Shear Capacity (Vu) Vu = 818.11 (kips) [AASHTO (10-114)] AASHTO REFERENCE: 10.48.8.1 - Girder Shear Load Level No.: 1: 1.00( 1.25 * D + 1.40 * L ) Truck No. : 2 - AASHTO HS20-44 (MS 18) LANE Input Parameters:
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King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 13 of 38 ISE, PLLC
v = 163.13 (kips) Vu = 818.11 (kips) Is the actual shear less than the limit : yes Return Code : pass AASHTO REFERENCE: 10.48.5.3 - Transverse Stiffener Area EQUATION NO. : (10-106) Load Level No.: 1: 1.00( 1.25 * D + 1.40 * L ) Truck No. : 2 - AASHTO HS20-44 (MS 18) LANE Input Parameters: B = 1.80 D = 90.875 (in) tw = .563 C = .44 V = 163.13 (kips) Vu = 818.11 (kips) Y = 1.00 AASHTO Limit : A = -4.1465 Actual stiffener area = 4.5000 Return Code : pass Strength Rating Factor - Shear Dead Load Shear = 77.45 (kips) Live Load Shear = 47.37 (kips) Nominal Capacity Vn = 818.11 (kips) R.F. = [(Phi(shear) * Vn) - (Gamma * Beta(DL) * DLV)] ---------------------------------------------- (Gamma * Beta(LL) * LLV) R.F. = 9.64 Pos & neg shear both checked, only controlling data printed. Strength Rating Factor - Bearing Stiffeners Bearing Strength (BS) = 643.76 (kips) Dead Load Reaction (DLR) = 77.45 (kips) Live Load Reaction (LLR) = 47.37 (kips) R.F. = [(Phi(bearing) * BS) - (Gamma * Beta(DL) * DLR)] ------------------------------------------------ (Gamma * Beta(LL) * LLR) R.F. = 8.25 End of rating intermediate output for load case 1 truck no. 2 This begins the analysis for shear capacity for truck no. 3, Load Level No. 1 Stage No. 1 Analysis point number 100.000 Performing Rating Factor Calculations Analysis Point: 100.00 Load Level : 1 Truck No. : 3 - SPECIAL-LOAD Load Factors: Gamma = 1.00 Phi(flexure) = .90 Beta (DL) = 1.25 Phi(shear) = .90 Beta (LL) = 1.40 Phi(bearing) = 1.00 The program now calls for stiffener checks and shear calculations based on the allowable moment Calculated Values: k = 9.1291 C = .4372 [AASHTO (10-117)] C based on k = 5 = .2395 (unstiffened web) do/D = 1.10 Vp = 1067.33 (kips) [AASHTO (10-115)] Calculated Ultimate Shear Capacity (Vu) Vu = 818.11 (kips) [AASHTO (10-114)] AASHTO REFERENCE: 10.48.8.1 - Girder Shear Load Level No.: 1: 1.00( 1.25 * D + 1.40 * L ) Truck No. : 3 - SPECIAL-LOAD Input Parameters: v = 149.69 (kips) Vu = 818.11 (kips) Is the actual shear less than the limit : yes Return Code : pass AASHTO REFERENCE: 10.48.5.3 - Transverse Stiffener Area EQUATION NO. : (10-106) Load Level No.: 1: 1.00( 1.25 * D + 1.40 * L ) Truck No. : 3 - SPECIAL-LOAD Input Parameters: B = 1.80 D = 90.875 (in) tw = .563
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King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 14 of 38 ISE, PLLC
C = .44 V = 149.69 (kips) Vu = 818.11 (kips) Y = 1.00 AASHTO Limit : A = -4.2741 Actual stiffener area = 4.5000 Return Code : pass Strength Rating Factor - Shear Dead Load Shear = 77.45 (kips) Live Load Shear = 37.77 (kips) Nominal Capacity Vn = 818.11 (kips) R.F. = [(Phi(shear) * Vn) - (Gamma * Beta(DL) * DLV)] ---------------------------------------------- (Gamma * Beta(LL) * LLV) R.F. = 12.09 Pos & neg shear both checked, only controlling data printed. Strength Rating Factor - Bearing Stiffeners Bearing Strength (BS) = 643.76 (kips) Dead Load Reaction (DLR) = 77.45 (kips) Live Load Reaction (LLR) = 37.77 (kips) R.F. = [(Phi(bearing) * BS) - (Gamma * Beta(DL) * DLR)] ------------------------------------------------ (Gamma * Beta(LL) * LLR) R.F. = 10.34 End of rating intermediate output for load case 1 truck no. 3 This begins the analysis for shear capacity for truck no. 4, Load Level No. 1 Stage No. 1 Analysis point number 100.000 Performing Rating Factor Calculations Analysis Point: 100.00 Load Level : 1 Truck No. : 4 - SPECIAL-LOAD Load Factors: Gamma = 1.00 Phi(flexure) = .90 Beta (DL) = 1.25 Phi(shear) = .90 Beta (LL) = 1.40 Phi(bearing) = 1.00 The program now calls for stiffener checks and shear calculations based on the allowable moment Calculated Values: k = 9.1291 C = .4372 [AASHTO (10-117)] C based on k = 5 = .2395 (unstiffened web) do/D = 1.10 Vp = 1067.33 (kips) [AASHTO (10-115)] Calculated Ultimate Shear Capacity (Vu) Vu = 818.11 (kips) [AASHTO (10-114)] AASHTO REFERENCE: 10.48.8.1 - Girder Shear Load Level No.: 1: 1.00( 1.25 * D + 1.40 * L ) Truck No. : 4 - SPECIAL-LOAD Input Parameters: v = 163.67 (kips) Vu = 818.11 (kips) Is the actual shear less than the limit : yes Return Code : pass AASHTO REFERENCE: 10.48.5.3 - Transverse Stiffener Area EQUATION NO. : (10-106) Load Level No.: 1: 1.00( 1.25 * D + 1.40 * L ) Truck No. : 4 - SPECIAL-LOAD Input Parameters: B = 1.80 D = 90.875 (in) tw = .563 C = .44 V = 163.67 (kips) Vu = 818.11 (kips) Y = 1.00 AASHTO Limit : A = -4.1414 Actual stiffener area = 4.5000 Return Code : pass Strength Rating Factor - Shear Dead Load Shear = 77.45 (kips) Live Load Shear = 47.75 (kips) Nominal Capacity Vn = 818.11 (kips)
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King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 15 of 38 ISE, PLLC
R.F. = [(Phi(shear) * Vn) - (Gamma * Beta(DL) * DLV)] ---------------------------------------------- (Gamma * Beta(LL) * LLV) R.F. = 9.57 Pos & neg shear both checked, only controlling data printed. Strength Rating Factor - Bearing Stiffeners Bearing Strength (BS) = 643.76 (kips) Dead Load Reaction (DLR) = 77.45 (kips) Live Load Reaction (LLR) = 47.75 (kips) R.F. = [(Phi(bearing) * BS) - (Gamma * Beta(DL) * DLR)] ------------------------------------------------ (Gamma * Beta(LL) * LLR) R.F. = 8.18 End of rating intermediate output for load case 1 truck no. 4 This begins the analysis for shear capacity for truck no. 5, Load Level No. 1 Stage No. 1 Analysis point number 100.000 Performing Rating Factor Calculations Analysis Point: 100.00 Load Level : 1 Truck No. : 5 - SPECIAL-LOAD Load Factors: Gamma = 1.00 Phi(flexure) = .90 Beta (DL) = 1.25 Phi(shear) = .90 Beta (LL) = 1.40 Phi(bearing) = 1.00 The program now calls for stiffener checks and shear calculations based on the allowable moment Calculated Values: k = 9.1291 C = .4372 [AASHTO (10-117)] C based on k = 5 = .2395 (unstiffened web) do/D = 1.10 Vp = 1067.33 (kips) [AASHTO (10-115)] Calculated Ultimate Shear Capacity (Vu) Vu = 818.11 (kips) [AASHTO (10-114)] AASHTO REFERENCE: 10.48.8.1 - Girder Shear Load Level No.: 1: 1.00( 1.25 * D + 1.40 * L ) Truck No. : 5 - SPECIAL-LOAD Input Parameters: v = 166.21 (kips) Vu = 818.11 (kips) Is the actual shear less than the limit : yes Return Code : pass AASHTO REFERENCE: 10.48.5.3 - Transverse Stiffener Area EQUATION NO. : (10-106) Load Level No.: 1: 1.00( 1.25 * D + 1.40 * L ) Truck No. : 5 - SPECIAL-LOAD Input Parameters: B = 1.80 D = 90.875 (in) tw = .563 C = .44 V = 166.21 (kips) Vu = 818.11 (kips) Y = 1.00 AASHTO Limit : A = -4.1173 Actual stiffener area = 4.5000 Return Code : pass Strength Rating Factor - Shear Dead Load Shear = 77.45 (kips) Live Load Shear = 49.57 (kips) Nominal Capacity Vn = 818.11 (kips) R.F. = [(Phi(shear) * Vn) - (Gamma * Beta(DL) * DLV)] ---------------------------------------------- (Gamma * Beta(LL) * LLV) R.F. = 9.22 Pos & neg shear both checked, only controlling data printed. Strength Rating Factor - Bearing Stiffeners Bearing Strength (BS) = 643.76 (kips) Dead Load Reaction (DLR) = 77.45 (kips) Live Load Reaction (LLR) = 49.57 (kips)
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King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 16 of 38 ISE, PLLC
R.F. = [(Phi(bearing) * BS) - (Gamma * Beta(DL) * DLR)] ------------------------------------------------ (Gamma * Beta(LL) * LLR) R.F. = 7.88 End of rating intermediate output for load case 1 truck no. 5 This begins the analysis for shear capacity for truck no. 6, Load Level No. 1 Stage No. 1 Analysis point number 100.000 Performing Rating Factor Calculations Analysis Point: 100.00 Load Level : 1 Truck No. : 6 - SPECIAL-LOAD Load Factors: Gamma = 1.00 Phi(flexure) = .90 Beta (DL) = 1.25 Phi(shear) = .90 Beta (LL) = 1.40 Phi(bearing) = 1.00 The program now calls for stiffener checks and shear calculations based on the allowable moment Calculated Values: k = 9.1291 C = .4372 [AASHTO (10-117)] C based on k = 5 = .2395 (unstiffened web) do/D = 1.10 Vp = 1067.33 (kips) [AASHTO (10-115)] Calculated Ultimate Shear Capacity (Vu) Vu = 818.11 (kips) [AASHTO (10-114)] AASHTO REFERENCE: 10.48.8.1 - Girder Shear Load Level No.: 1: 1.00( 1.25 * D + 1.40 * L ) Truck No. : 6 - SPECIAL-LOAD Input Parameters: v = 162.03 (kips) Vu = 818.11 (kips) Is the actual shear less than the limit : yes Return Code : pass AASHTO REFERENCE: 10.48.5.3 - Transverse Stiffener Area EQUATION NO. : (10-106) Load Level No.: 1: 1.00( 1.25 * D + 1.40 * L ) Truck No. : 6 - SPECIAL-LOAD Input Parameters: B = 1.80 D = 90.875 (in) tw = .563 C = .44 V = 162.03 (kips) Vu = 818.11 (kips) Y = 1.00 AASHTO Limit : A = -4.1570 Actual stiffener area = 4.5000 Return Code : pass Strength Rating Factor - Shear Dead Load Shear = 77.45 (kips) Live Load Shear = 46.58 (kips) Nominal Capacity Vn = 818.11 (kips) R.F. = [(Phi(shear) * Vn) - (Gamma * Beta(DL) * DLV)] ---------------------------------------------- (Gamma * Beta(LL) * LLV) R.F. = 9.81 Pos & neg shear both checked, only controlling data printed. Strength Rating Factor - Bearing Stiffeners Bearing Strength (BS) = 643.76 (kips) Dead Load Reaction (DLR) = 77.45 (kips) Live Load Reaction (LLR) = 46.58 (kips) R.F. = [(Phi(bearing) * BS) - (Gamma * Beta(DL) * DLR)] ------------------------------------------------ (Gamma * Beta(LL) * LLR) R.F. = 8.39 End of rating intermediate output for load case 1 truck no. 6
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King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 17 of 38 ISE, PLLC
This begins the analysis for shear capacity for truck no. 7, Load Level No. 1 Stage No. 1 Analysis point number 100.000 Performing Rating Factor Calculations Analysis Point: 100.00 Load Level : 1 Truck No. : 7 - SPECIAL-LOAD Load Factors: Gamma = 1.00 Phi(flexure) = .90 Beta (DL) = 1.25 Phi(shear) = .90 Beta (LL) = 1.40 Phi(bearing) = 1.00 The program now calls for stiffener checks and shear calculations based on the allowable moment Calculated Values: k = 9.1291 C = .4372 [AASHTO (10-117)] C based on k = 5 = .2395 (unstiffened web) do/D = 1.10 Vp = 1067.33 (kips) [AASHTO (10-115)] Calculated Ultimate Shear Capacity (Vu) Vu = 818.11 (kips) [AASHTO (10-114)] AASHTO REFERENCE: 10.48.8.1 - Girder Shear Load Level No.: 1: 1.00( 1.25 * D + 1.40 * L ) Truck No. : 7 - SPECIAL-LOAD Input Parameters: v = 153.97 (kips) Vu = 818.11 (kips) Is the actual shear less than the limit : yes Return Code : pass AASHTO REFERENCE: 10.48.5.3 - Transverse Stiffener Area EQUATION NO. : (10-106) Load Level No.: 1: 1.00( 1.25 * D + 1.40 * L ) Truck No. : 7 - SPECIAL-LOAD Input Parameters: B = 1.80 D = 90.875 (in) tw = .563 C = .44 V = 153.97 (kips) Vu = 818.11 (kips) Y = 1.00 AASHTO Limit : A = -4.2335 Actual stiffener area = 4.5000 Return Code : pass Strength Rating Factor - Shear Dead Load Shear = 77.45 (kips) Live Load Shear = 40.83 (kips) Nominal Capacity Vn = 818.11 (kips) R.F. = [(Phi(shear) * Vn) - (Gamma * Beta(DL) * DLV)] ---------------------------------------------- (Gamma * Beta(LL) * LLV) R.F. = 11.19 Pos & neg shear both checked, only controlling data printed. Strength Rating Factor - Bearing Stiffeners Bearing Strength (BS) = 643.76 (kips) Dead Load Reaction (DLR) = 77.45 (kips) Live Load Reaction (LLR) = 40.83 (kips) R.F. = [(Phi(bearing) * BS) - (Gamma * Beta(DL) * DLR)] ------------------------------------------------ (Gamma * Beta(LL) * LLR) R.F. = 9.57 End of rating intermediate output for load case 1 truck no. 7 This begins the analysis for shear capacity for truck no. 8, Load Level No. 1 Stage No. 1 Analysis point number 100.000 Performing Rating Factor Calculations Analysis Point: 100.00 Load Level : 1 Truck No. : 8 - SPECIAL-LOAD
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King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 18 of 38 ISE, PLLC
Load Factors: Gamma = 1.00 Phi(flexure) = .90 Beta (DL) = 1.25 Phi(shear) = .90 Beta (LL) = 1.40 Phi(bearing) = 1.00 The program now calls for stiffener checks and shear calculations based on the allowable moment Calculated Values: k = 9.1291 C = .4372 [AASHTO (10-117)] C based on k = 5 = .2395 (unstiffened web) do/D = 1.10 Vp = 1067.33 (kips) [AASHTO (10-115)] Calculated Ultimate Shear Capacity (Vu) Vu = 818.11 (kips) [AASHTO (10-114)] AASHTO REFERENCE: 10.48.8.1 - Girder Shear Load Level No.: 1: 1.00( 1.25 * D + 1.40 * L ) Truck No. : 8 - SPECIAL-LOAD Input Parameters: v = 155.49 (kips) Vu = 818.11 (kips) Is the actual shear less than the limit : yes Return Code : pass AASHTO REFERENCE: 10.48.5.3 - Transverse Stiffener Area EQUATION NO. : (10-106) Load Level No.: 1: 1.00( 1.25 * D + 1.40 * L ) Truck No. : 8 - SPECIAL-LOAD Input Parameters: B = 1.80 D = 90.875 (in) tw = .563 C = .44 V = 155.49 (kips) Vu = 818.11 (kips) Y = 1.00 AASHTO Limit : A = -4.2190 Actual stiffener area = 4.5000 Return Code : pass Strength Rating Factor - Shear Dead Load Shear = 77.45 (kips) Live Load Shear = 41.91 (kips) Nominal Capacity Vn = 818.11 (kips) R.F. = [(Phi(shear) * Vn) - (Gamma * Beta(DL) * DLV)] ---------------------------------------------- (Gamma * Beta(LL) * LLV) R.F. = 10.90 Pos & neg shear both checked, only controlling data printed. Strength Rating Factor - Bearing Stiffeners Bearing Strength (BS) = 643.76 (kips) Dead Load Reaction (DLR) = 77.45 (kips) Live Load Reaction (LLR) = 41.91 (kips) R.F. = [(Phi(bearing) * BS) - (Gamma * Beta(DL) * DLR)] ------------------------------------------------ (Gamma * Beta(LL) * LLR) R.F. = 9.32 End of rating intermediate output for load case 1 truck no. 8 This begins the analysis for shear capacity for truck no. 9, Load Level No. 1 Stage No. 1 Analysis point number 100.000 Performing Rating Factor Calculations Analysis Point: 100.00 Load Level : 1 Truck No. : 9 - SPECIAL-LOAD Load Factors: Gamma = 1.00 Phi(flexure) = .90 Beta (DL) = 1.25 Phi(shear) = .90 Beta (LL) = 1.40 Phi(bearing) = 1.00 The program now calls for stiffener checks and shear calculations based on the allowable moment Calculated Values:
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King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 19 of 38 ISE, PLLC
k = 9.1291 C = .4372 [AASHTO (10-117)] C based on k = 5 = .2395 (unstiffened web) do/D = 1.10 Vp = 1067.33 (kips) [AASHTO (10-115)] Calculated Ultimate Shear Capacity (Vu) Vu = 818.11 (kips) [AASHTO (10-114)] AASHTO REFERENCE: 10.48.8.1 - Girder Shear Load Level No.: 1: 1.00( 1.25 * D + 1.40 * L ) Truck No. : 9 - SPECIAL-LOAD Input Parameters: v = 149.22 (kips) Vu = 818.11 (kips) Is the actual shear less than the limit : yes Return Code : pass AASHTO REFERENCE: 10.48.5.3 - Transverse Stiffener Area EQUATION NO. : (10-106) Load Level No.: 1: 1.00( 1.25 * D + 1.40 * L ) Truck No. : 9 - SPECIAL-LOAD Input Parameters: B = 1.80 D = 90.875 (in) tw = .563 C = .44 V = 149.22 (kips) Vu = 818.11 (kips) Y = 1.00 AASHTO Limit : A = -4.2786 Actual stiffener area = 4.5000 Return Code : pass Strength Rating Factor - Shear Dead Load Shear = 77.45 (kips) Live Load Shear = 37.43 (kips) Nominal Capacity Vn = 818.11 (kips) R.F. = [(Phi(shear) * Vn) - (Gamma * Beta(DL) * DLV)] ---------------------------------------------- (Gamma * Beta(LL) * LLV) R.F. = 12.20 Pos & neg shear both checked, only controlling data printed. Strength Rating Factor - Bearing Stiffeners Bearing Strength (BS) = 643.76 (kips) Dead Load Reaction (DLR) = 77.45 (kips) Live Load Reaction (LLR) = 37.43 (kips) R.F. = [(Phi(bearing) * BS) - (Gamma * Beta(DL) * DLR)] ------------------------------------------------ (Gamma * Beta(LL) * LLR) R.F. = 10.44 End of rating intermediate output for load case 1 truck no. 9 This begins the analysis for shear capacity for truck no. 10, Load Level No. 1 Stage No. 1 Analysis point number 100.000 Performing Rating Factor Calculations Analysis Point: 100.00 Load Level : 1 Truck No. : 10 - SPECIAL-LOAD Load Factors: Gamma = 1.00 Phi(flexure) = .90 Beta (DL) = 1.25 Phi(shear) = .90 Beta (LL) = 1.40 Phi(bearing) = 1.00 The program now calls for stiffener checks and shear calculations based on the allowable moment Calculated Values: k = 9.1291 C = .4372 [AASHTO (10-117)] C based on k = 5 = .2395 (unstiffened web) do/D = 1.10 Vp = 1067.33 (kips) [AASHTO (10-115)] Calculated Ultimate Shear Capacity (Vu) Vu = 818.11 (kips) [AASHTO (10-114)]
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King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 20 of 38 ISE, PLLC
AASHTO REFERENCE: 10.48.8.1 - Girder Shear Load Level No.: 1: 1.00( 1.25 * D + 1.40 * L ) Truck No. : 10 - SPECIAL-LOAD Input Parameters: v = 221.85 (kips) Vu = 818.11 (kips) Is the actual shear less than the limit : yes Return Code : pass AASHTO REFERENCE: 10.48.5.3 - Transverse Stiffener Area EQUATION NO. : (10-106) Load Level No.: 1: 1.00( 1.25 * D + 1.40 * L ) Truck No. : 10 - SPECIAL-LOAD Input Parameters: B = 1.80 D = 90.875 (in) tw = .563 C = .44 V = 221.85 (kips) Vu = 818.11 (kips) Y = 1.00 AASHTO Limit : A = -3.5890 Actual stiffener area = 4.5000 Return Code : pass Strength Rating Factor - Shear Dead Load Shear = 77.45 (kips) Live Load Shear = 89.31 (kips) Nominal Capacity Vn = 818.11 (kips) R.F. = [(Phi(shear) * Vn) - (Gamma * Beta(DL) * DLV)] ---------------------------------------------- (Gamma * Beta(LL) * LLV) R.F. = 5.11 Pos & neg shear both checked, only controlling data printed. Strength Rating Factor - Bearing Stiffeners Bearing Strength (BS) = 643.76 (kips) Dead Load Reaction (DLR) = 77.45 (kips) Live Load Reaction (LLR) = 89.31 (kips) R.F. = [(Phi(bearing) * BS) - (Gamma * Beta(DL) * DLR)] ------------------------------------------------ (Gamma * Beta(LL) * LLR) R.F. = 4.37 End of rating intermediate output for load case 1 truck no. 10 WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 20 WB-STL4.DAT Wilburton Bridge Load Rating LOAD AND RESISTANCE FACTORS LOAD RESISTANCE COMBINATION DEAD LIVE FLEXURE SHEAR BEARING LOAD LEVEL: 1 1.00 1.25 1.40 .90 .90 1.00
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King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 21 of 38 ISE, PLLC
WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 21 WB-STL4.DAT Wilburton Bridge Load Rating ANALYSIS POINT: 104.00 CONSTRUCTION STAGE 1 SECTION DIMENSIONS INCHES DEPTH OF WEB 90.88 TOP FLANGE THICKNESS .00 BOTTOM FLANGE THICKNESS .00 THICKNESS OF WEB .56 TOP FLANGE WIDTH 16.56 BOTTOM FLANGE WIDTH 16.56 BOT COV PL THICKNESS 3.00 TOP COV PL OR COMP FL T 3.00 AS1 IN COMPOSITE AREA .00 BOT COV PL WIDTH 20.00 TOP COV PL OR COMP FL W 20.00 DISTANCE TO AS1 .00 MATERIAL PROPERTIES TOP FLANGE YIELD STRENGTH : 36000. (psi) WEB YIELD STRENGTH : 36000. (psi) BOTTOM FLANGE YIELD STRENGTH: 36000. (psi) SUMMARY OF FACTORED ACTIONS ANALYSIS POINT: 104.00 LOAD LEVELS 1: 1.00( 1.25 * D + 1.40 * L ) CONSTRUCTION STAGE NO. 1 TRUCK NO. 1 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX 4142.3 N/A N/A N/A MIN 2431.0 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO 5.532 N/A N/A N/A SHEAR (kips) MAX 63.3 N/A N/A N/A MIN -4.4 N/A N/A N/A Phi * Vn 230.0 N/A N/A N/A RATIO 3.635 N/A N/A N/A CRITICAL 3.635 N/A N/A N/A -------------------------------------------------------------------------------------------------- TRUCK NO. 2 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX 3816.9 N/A N/A N/A MIN 2431.0 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO 6.004 N/A N/A N/A SHEAR (kips) MAX 52.7 N/A N/A N/A MIN 3.1 N/A N/A N/A Phi * Vn 230.0 N/A N/A N/A RATIO 4.366 N/A N/A N/A CRITICAL 4.366 N/A N/A N/A -------------------------------------------------------------------------------------------------- TRUCK NO. 3 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX 3659.0 N/A N/A N/A MIN 2431.0 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO 6.263 N/A N/A N/A SHEAR (kips) MAX 51.5 N/A N/A N/A MIN 2.3 N/A N/A N/A Phi * Vn 230.0 N/A N/A N/A RATIO 4.466 N/A N/A N/A CRITICAL 4.466 N/A N/A N/A -------------------------------------------------------------------------------------------------- TRUCK NO. 4 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX 3936.2 N/A N/A N/A MIN 2431.0 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO 5.822 N/A N/A N/A SHEAR (kips) MAX 55.6 N/A N/A N/A MIN 3.2 N/A N/A N/A Phi * Vn 230.0 N/A N/A N/A RATIO 4.139 N/A N/A N/A CRITICAL 4.139 N/A N/A N/A --------------------------------------------------------------------------------------------------
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King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 22 of 38 ISE, PLLC
TRUCK NO. 5 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX 3922.3 N/A N/A N/A MIN 2431.0 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO 5.843 N/A N/A N/A SHEAR (kips) MAX 54.5 N/A N/A N/A MIN 4.3 N/A N/A N/A Phi * Vn 230.0 N/A N/A N/A RATIO 4.220 N/A N/A N/A CRITICAL 4.220 N/A N/A N/A -------------------------------------------------------------------------------------------------- TRUCK NO. 6 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX 3958.4 N/A N/A N/A MIN 2431.0 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO 5.789 N/A N/A N/A SHEAR (kips) MAX 58.4 N/A N/A N/A MIN -1.8 N/A N/A N/A Phi * Vn 230.0 N/A N/A N/A RATIO 3.937 N/A N/A N/A CRITICAL 3.937 N/A N/A N/A -------------------------------------------------------------------------------------------------- TRUCK NO. 7 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX 3756.4 N/A N/A N/A MIN 2431.0 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO 6.101 N/A N/A N/A SHEAR (kips) MAX 54.0 N/A N/A N/A MIN .8 N/A N/A N/A Phi * Vn 230.0 N/A N/A N/A RATIO 4.261 N/A N/A N/A CRITICAL 4.261 N/A N/A N/A -------------------------------------------------------------------------------------------------- TRUCK NO. 8 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX 3819.0 N/A N/A N/A MIN 2431.0 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO 6.001 N/A N/A N/A SHEAR (kips) MAX 55.1 N/A N/A N/A MIN -.1 N/A N/A N/A Phi * Vn 230.0 N/A N/A N/A RATIO 4.178 N/A N/A N/A CRITICAL 4.178 N/A N/A N/A -------------------------------------------------------------------------------------------------- TRUCK NO. 9 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX 3654.5 N/A N/A N/A MIN 2431.0 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO 6.271 N/A N/A N/A SHEAR (kips) MAX 51.3 N/A N/A N/A MIN 2.5 N/A N/A N/A Phi * Vn 230.0 N/A N/A N/A RATIO 4.487 N/A N/A N/A CRITICAL 4.487 N/A N/A N/A --------------------------------------------------------------------------------------------------
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King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 23 of 38 ISE, PLLC
TRUCK NO. 10 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX 5141.8 N/A N/A N/A MIN 2431.0 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO 4.457 N/A N/A N/A SHEAR (kips) MAX 85.8 N/A N/A N/A MIN -14.1 N/A N/A N/A Phi * Vn 230.0 N/A N/A N/A RATIO 2.682 N/A N/A N/A CRITICAL 2.682 N/A N/A N/A -------------------------------------------------------------------------------------------------- WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 22 WB-STL4.DAT Wilburton Bridge Load Rating SUMMARY OF AASHTO SPECIFICATION CHECKS ANALYSIS POINT: 104.00 CONSTRUCTION STAGE: 1 -------------------------------------------------------------------------------------------------- AASHTO REFERENCE --- EQ. ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- COMPACTNESS CHECKS - AASHTO 10.48.1 -------------------------------------------------------------------------------------------------- 10.48.1.1 (a) (10-93) FAIL N/A N/A N/A 10.48.1.1 (b) (10-94) FAIL N/A N/A N/A 10.48.1.1 (b) (10-94) FAIL N/A N/A N/A 10.48.1.1 (c)* (10-96) FFFFFFFFFF N/A N/A N/A 10.48.1.1 (d)* (10-97) FFFFFFFFFF N/A N/A N/A BRACING CHECKS - AASHTO 10.48.2 (Note: BRASS does not check 10.48.3, Transitions) -------------------------------------------------------------------------------------------------- 10.48.2.1 (a) (10-99) FAIL N/A N/A N/A 10.48.2.1 (b) (10-100) PASS N/A N/A N/A 10.48.2.1 (c) (10-101) PASS N/A N/A N/A 10.48.2.1 (d)* (10-102) PPPPPPPPPP N/A N/A N/A -------------------------------------------------------------------------------------------------- * NOTE: CODE EQUATIONS WHICH ARE LOAD AND LOAD FACTOR DEPENDENT INDICATE PASS/FAIL WITH (P) OR (F) FOR EACH LIVE LOAD (UP TO 10 TRUCKS MAXIMUM)
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King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 24 of 38 ISE, PLLC
WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 23 WB-STL4.DAT Wilburton Bridge Load Rating ANALYSIS POINT: 105.00 CONSTRUCTION STAGE 1 SECTION DIMENSIONS INCHES DEPTH OF WEB 90.88 TOP FLANGE THICKNESS .00 BOTTOM FLANGE THICKNESS .00 THICKNESS OF WEB .56 TOP FLANGE WIDTH 16.56 BOTTOM FLANGE WIDTH 16.56 BOT COV PL THICKNESS 3.00 TOP COV PL OR COMP FL T 3.00 AS1 IN COMPOSITE AREA .00 BOT COV PL WIDTH 20.00 TOP COV PL OR COMP FL W 20.00 DISTANCE TO AS1 .00 MATERIAL PROPERTIES TOP FLANGE YIELD STRENGTH : 36000. (psi) WEB YIELD STRENGTH : 36000. (psi) BOTTOM FLANGE YIELD STRENGTH: 36000. (psi) SUMMARY OF FACTORED ACTIONS ANALYSIS POINT: 105.00 LOAD LEVELS 1: 1.00( 1.25 * D + 1.40 * L ) CONSTRUCTION STAGE NO. 1 TRUCK NO. 1 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX 4295.8 N/A N/A N/A MIN 2540.2 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO 5.335 N/A N/A N/A SHEAR (kips) MAX 33.1 N/A N/A N/A MIN -34.5 N/A N/A N/A Phi * Vn 230.0 N/A N/A N/A RATIO 6.665 N/A N/A N/A CRITICAL 5.335 N/A N/A N/A -------------------------------------------------------------------------------------------------- TRUCK NO. 2 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX 3983.8 N/A N/A N/A MIN 2540.2 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO 5.752 N/A N/A N/A SHEAR (kips) MAX 23.7 N/A N/A N/A MIN -25.1 N/A N/A N/A Phi * Vn 230.0 N/A N/A N/A RATIO 9.152 N/A N/A N/A CRITICAL 5.752 N/A N/A N/A -------------------------------------------------------------------------------------------------- TRUCK NO. 3 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX 3806.1 N/A N/A N/A MIN 2540.2 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO 6.021 N/A N/A N/A SHEAR (kips) MAX 23.9 N/A N/A N/A MIN -25.3 N/A N/A N/A Phi * Vn 230.0 N/A N/A N/A RATIO 9.102 N/A N/A N/A CRITICAL 6.021 N/A N/A N/A -------------------------------------------------------------------------------------------------- TRUCK NO. 4 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX 4067.1 N/A N/A N/A MIN 2540.2 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO 5.635 N/A N/A N/A SHEAR (kips) MAX 25.4 N/A N/A N/A MIN -26.8 N/A N/A N/A Phi * Vn 230.0 N/A N/A N/A RATIO 8.584 N/A N/A N/A CRITICAL 5.635 N/A N/A N/A --------------------------------------------------------------------------------------------------
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King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 25 of 38 ISE, PLLC
TRUCK NO. 5 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX 4087.9 N/A N/A N/A MIN 2540.2 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO 5.606 N/A N/A N/A SHEAR (kips) MAX 24.0 N/A N/A N/A MIN -25.4 N/A N/A N/A Phi * Vn 230.0 N/A N/A N/A RATIO 9.069 N/A N/A N/A CRITICAL 5.606 N/A N/A N/A -------------------------------------------------------------------------------------------------- TRUCK NO. 6 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX 4111.0 N/A N/A N/A MIN 2540.2 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO 5.574 N/A N/A N/A SHEAR (kips) MAX 29.4 N/A N/A N/A MIN -30.8 N/A N/A N/A Phi * Vn 230.0 N/A N/A N/A RATIO 7.464 N/A N/A N/A CRITICAL 5.574 N/A N/A N/A -------------------------------------------------------------------------------------------------- TRUCK NO. 7 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX 3913.2 N/A N/A N/A MIN 2540.2 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO 5.856 N/A N/A N/A SHEAR (kips) MAX 25.9 N/A N/A N/A MIN -27.3 N/A N/A N/A Phi * Vn 230.0 N/A N/A N/A RATIO 8.429 N/A N/A N/A CRITICAL 5.856 N/A N/A N/A -------------------------------------------------------------------------------------------------- TRUCK NO. 8 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX 3981.4 N/A N/A N/A MIN 2540.2 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO 5.756 N/A N/A N/A SHEAR (kips) MAX 26.9 N/A N/A N/A MIN -28.2 N/A N/A N/A Phi * Vn 230.0 N/A N/A N/A RATIO 8.143 N/A N/A N/A CRITICAL 5.756 N/A N/A N/A -------------------------------------------------------------------------------------------------- TRUCK NO. 9 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX 3807.6 N/A N/A N/A MIN 2540.2 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO 6.019 N/A N/A N/A SHEAR (kips) MAX 23.7 N/A N/A N/A MIN -25.1 N/A N/A N/A Phi * Vn 230.0 N/A N/A N/A RATIO 9.169 N/A N/A N/A CRITICAL 6.019 N/A N/A N/A --------------------------------------------------------------------------------------------------
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King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 26 of 38 ISE, PLLC
TRUCK NO. 10 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX 5246.8 N/A N/A N/A MIN 2540.2 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO 4.368 N/A N/A N/A SHEAR (kips) MAX 48.6 N/A N/A N/A MIN -50.0 N/A N/A N/A Phi * Vn 230.0 N/A N/A N/A RATIO 4.603 N/A N/A N/A CRITICAL 4.368 N/A N/A N/A -------------------------------------------------------------------------------------------------- WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 24 WB-STL4.DAT Wilburton Bridge Load Rating SUMMARY OF AASHTO SPECIFICATION CHECKS ANALYSIS POINT: 105.00 CONSTRUCTION STAGE: 1 -------------------------------------------------------------------------------------------------- AASHTO REFERENCE --- EQ. ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- COMPACTNESS CHECKS - AASHTO 10.48.1 -------------------------------------------------------------------------------------------------- 10.48.1.1 (a) (10-93) FAIL N/A N/A N/A 10.48.1.1 (b) (10-94) FAIL N/A N/A N/A 10.48.1.1 (b) (10-94) FAIL N/A N/A N/A 10.48.1.1 (c)* (10-96) FFFFFFFFFF N/A N/A N/A 10.48.1.1 (d)* (10-97) FFFFFFFFFF N/A N/A N/A BRACING CHECKS - AASHTO 10.48.2 (Note: BRASS does not check 10.48.3, Transitions) -------------------------------------------------------------------------------------------------- 10.48.2.1 (a) (10-99) FAIL N/A N/A N/A 10.48.2.1 (b) (10-100) PASS N/A N/A N/A 10.48.2.1 (c) (10-101) PASS N/A N/A N/A 10.48.2.1 (d)* (10-102) PPPPPPPPPP N/A N/A N/A -------------------------------------------------------------------------------------------------- * NOTE: CODE EQUATIONS WHICH ARE LOAD AND LOAD FACTOR DEPENDENT INDICATE PASS/FAIL WITH (P) OR (F) FOR EACH LIVE LOAD (UP TO 10 TRUCKS MAXIMUM)
C-128
King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 27 of 38 ISE, PLLC
WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 25 WB-STL4.DAT Wilburton Bridge Load Rating ANALYSIS POINT: 100.00 CONSTRUCTION STAGE 1 SECTION DIMENSIONS INCHES DEPTH OF WEB 90.88 TOP FLANGE THICKNESS .00 BOTTOM FLANGE THICKNESS .00 THICKNESS OF WEB .56 TOP FLANGE WIDTH 16.56 BOTTOM FLANGE WIDTH 16.56 BOT COV PL THICKNESS 1.00 TOP COV PL OR COMP FL T 1.00 AS1 IN COMPOSITE AREA .00 BOT COV PL WIDTH 20.00 TOP COV PL OR COMP FL W 20.00 DISTANCE TO AS1 .00 BEARING STIFF. WIDTH 6.00 BEARING STIFF. THICKNESS 1.50 BEARING STIFF. CLIP .75 TRANS. STIFF. WIDTH 6.00 TRANS. STIFF. THICKNESS .75 MATERIAL PROPERTIES TOP FLANGE YIELD STRENGTH : 36000. (psi) WEB YIELD STRENGTH : 36000. (psi) BOTTOM FLANGE YIELD STRENGTH: 36000. (psi) SUMMARY OF FACTORED ACTIONS ANALYSIS POINT: 100.00 LOAD LEVELS 1: 1.00( 1.25 * D + 1.40 * L ) CONSTRUCTION STAGE NO. 1 TRUCK NO. 1 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX .0 N/A N/A N/A MIN .0 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO ******* N/A N/A N/A SHEAR (kips) MAX 171.4 N/A N/A N/A MIN 96.8 N/A N/A N/A Phi * Vn 736.3 N/A N/A N/A RATIO 4.296 N/A N/A N/A REACTION (kips) MAX 171.4 N/A N/A N/A MIN 96.8 N/A N/A N/A Rn * Vn 818.1 N/A N/A N/A RATIO 4.774 N/A N/A N/A CRITICAL 4.296 N/A N/A N/A -------------------------------------------------------------------------------------------------- TRUCK NO. 2 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX .0 N/A N/A N/A MIN .0 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO ******* N/A N/A N/A SHEAR (kips) MAX 163.1 N/A N/A N/A MIN 96.8 N/A N/A N/A Phi * Vn 736.3 N/A N/A N/A RATIO 4.514 N/A N/A N/A REACTION (kips) MAX 163.1 N/A N/A N/A MIN 96.8 N/A N/A N/A Rn * Vn 818.1 N/A N/A N/A RATIO 5.015 N/A N/A N/A CRITICAL 4.514 N/A N/A N/A -------------------------------------------------------------------------------------------------- TRUCK NO. 3 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX .0 N/A N/A N/A MIN .0 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO ******* N/A N/A N/A SHEAR (kips) MAX 149.7 N/A N/A N/A MIN 96.8 N/A N/A N/A Phi * Vn 736.3 N/A N/A N/A RATIO 4.919 N/A N/A N/A REACTION (kips) MAX 149.7 N/A N/A N/A MIN 96.8 N/A N/A N/A Rn * Vn 818.1 N/A N/A N/A RATIO 5.465 N/A N/A N/A CRITICAL 4.919 N/A N/A N/A --------------------------------------------------------------------------------------------------
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King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 28 of 38 ISE, PLLC
TRUCK NO. 4 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX .0 N/A N/A N/A MIN .0 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO ******* N/A N/A N/A SHEAR (kips) MAX 163.7 N/A N/A N/A MIN 96.8 N/A N/A N/A Phi * Vn 736.3 N/A N/A N/A RATIO 4.499 N/A N/A N/A REACTION (kips) MAX 163.7 N/A N/A N/A MIN 96.8 N/A N/A N/A Rn * Vn 818.1 N/A N/A N/A RATIO 4.999 N/A N/A N/A CRITICAL 4.499 N/A N/A N/A -------------------------------------------------------------------------------------------------- TRUCK NO. 5 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX .0 N/A N/A N/A MIN .0 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO ******* N/A N/A N/A SHEAR (kips) MAX 166.2 N/A N/A N/A MIN 96.8 N/A N/A N/A Phi * Vn 736.3 N/A N/A N/A RATIO 4.430 N/A N/A N/A REACTION (kips) MAX 166.2 N/A N/A N/A MIN 96.8 N/A N/A N/A Rn * Vn 818.1 N/A N/A N/A RATIO 4.922 N/A N/A N/A CRITICAL 4.430 N/A N/A N/A -------------------------------------------------------------------------------------------------- TRUCK NO. 6 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX .0 N/A N/A N/A MIN .0 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO ******* N/A N/A N/A SHEAR (kips) MAX 162.0 N/A N/A N/A MIN 96.8 N/A N/A N/A Phi * Vn 736.3 N/A N/A N/A RATIO 4.544 N/A N/A N/A REACTION (kips) MAX 162.0 N/A N/A N/A MIN 96.8 N/A N/A N/A Rn * Vn 818.1 N/A N/A N/A RATIO 5.049 N/A N/A N/A CRITICAL 4.544 N/A N/A N/A -------------------------------------------------------------------------------------------------- TRUCK NO. 7 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX .0 N/A N/A N/A MIN .0 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO ******* N/A N/A N/A SHEAR (kips) MAX 154.0 N/A N/A N/A MIN 96.8 N/A N/A N/A Phi * Vn 736.3 N/A N/A N/A RATIO 4.782 N/A N/A N/A REACTION (kips) MAX 154.0 N/A N/A N/A MIN 96.8 N/A N/A N/A Rn * Vn 818.1 N/A N/A N/A RATIO 5.313 N/A N/A N/A CRITICAL 4.782 N/A N/A N/A --------------------------------------------------------------------------------------------------
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King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 29 of 38 ISE, PLLC
TRUCK NO. 8 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX .0 N/A N/A N/A MIN .0 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO ******* N/A N/A N/A SHEAR (kips) MAX 155.5 N/A N/A N/A MIN 96.8 N/A N/A N/A Phi * Vn 736.3 N/A N/A N/A RATIO 4.735 N/A N/A N/A REACTION (kips) MAX 155.5 N/A N/A N/A MIN 96.8 N/A N/A N/A Rn * Vn 818.1 N/A N/A N/A RATIO 5.261 N/A N/A N/A CRITICAL 4.735 N/A N/A N/A -------------------------------------------------------------------------------------------------- TRUCK NO. 9 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX .0 N/A N/A N/A MIN .0 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO ******* N/A N/A N/A SHEAR (kips) MAX 149.2 N/A N/A N/A MIN 96.8 N/A N/A N/A Phi * Vn 736.3 N/A N/A N/A RATIO 4.934 N/A N/A N/A REACTION (kips) MAX 149.2 N/A N/A N/A MIN 96.8 N/A N/A N/A Rn * Vn 818.1 N/A N/A N/A RATIO 5.482 N/A N/A N/A CRITICAL 4.934 N/A N/A N/A -------------------------------------------------------------------------------------------------- TRUCK NO. 10 -------------------------------------------------------------------------------------------------- FACTORED ACTIONS ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- MOMENT (ft-kips) MAX .0 N/A N/A N/A MIN .0 N/A N/A N/A Phi * Mn 22916.5 N/A N/A N/A RATIO ******* N/A N/A N/A SHEAR (kips) MAX 221.8 N/A N/A N/A MIN 96.8 N/A N/A N/A Phi * Vn 736.3 N/A N/A N/A RATIO 3.319 N/A N/A N/A REACTION (kips) MAX 221.8 N/A N/A N/A MIN 96.8 N/A N/A N/A Rn * Vn 818.1 N/A N/A N/A RATIO 3.688 N/A N/A N/A CRITICAL 3.319 N/A N/A N/A -------------------------------------------------------------------------------------------------- ------------------------------ MINIMUM WEB THICKNESS (in) -------------------------- LOAD LEVEL TRUCK NO. W/O TRANS. WITH TRANS. WITH TRANS. & LONG. STIFFENERS STIFFENERS STIFFENERS 1 1 .090 .000 .000 1 2 .086 .000 .000 1 3 .079 .000 .000 1 4 .086 .000 .000 1 5 .088 .000 .000 1 6 .085 .000 .000 1 7 .081 .000 .000 1 8 .082 .000 .000 1 9 .079 .000 .000 1 10 .117 .000 .000
C-131
King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 30 of 38 ISE, PLLC
WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 26 WB-STL4.DAT Wilburton Bridge Load Rating SUMMARY OF AASHTO SPECIFICATION CHECKS ANALYSIS POINT: 100.00 CONSTRUCTION STAGE: 1 -------------------------------------------------------------------------------------------------- AASHTO REFERENCE --- EQ. ---- LOAD LEVEL 1 ---- LOAD LEVEL 2 ---- LOAD LEVEL 3 ---- LOAD LEVEL 4 -------------------------------------------------------------------------------------------------- COMPACTNESS CHECKS - AASHTO 10.48.1 -------------------------------------------------------------------------------------------------- 10.48.1.1 (a) (10-93) FAIL N/A N/A N/A 10.48.1.1 (b) (10-94) FAIL N/A N/A N/A 10.48.1.1 (b) (10-94) FAIL N/A N/A N/A 10.48.1.1 (c)* (10-96) FFFFFFFFFF N/A N/A N/A 10.48.1.1 (d)* (10-97) FFFFFFFFFF N/A N/A N/A BRACING CHECKS - AASHTO 10.48.2 (Note: BRASS does not check 10.48.3, Transitions) -------------------------------------------------------------------------------------------------- 10.48.2.1 (a) (10-99) FAIL N/A N/A N/A 10.48.2.1 (b) (10-100) PASS N/A N/A N/A 10.48.2.1 (c) (10-101) PASS N/A N/A N/A 10.48.2.1 (d)* (10-102) PPPPPPPPPP N/A N/A N/A TRANSVERSE STIFFENER CHECKS - AASHTO 10.48.5 -------------------------------------------------------------------------------------------------- 10.48.5.1 (10-104) N/A N/A N/A N/A 10.49.2 (10-120) PASS N/A N/A N/A 10.48.8.2* (10-118) N/A N/A N/A N/A 10.48.8.1* SHEAR PPPPPPPPPP N/A N/A N/A 10.48.5.3 (10-105) PASS N/A N/A N/A 10.48.5.3* (10-106) PPPPPPPPPP N/A N/A N/A 10.48.5.3 (10-107) PASS N/A N/A N/A BEARING STIFFENER CHECKS - AASHTO 10.48.7 -------------------------------------------------------------------------------------------------- 10.34.6.1 (10-35) PASS N/A N/A N/A STRENGTH PASS N/A N/A N/A -------------------------------------------------------------------------------------------------- * NOTE: CODE EQUATIONS WHICH ARE LOAD AND LOAD FACTOR DEPENDENT INDICATE PASS/FAIL WITH (P) OR (F) FOR EACH LIVE LOAD (UP TO 10 TRUCKS MAXIMUM)
C-132
King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 31 of 38 ISE, PLLC
WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 27 WB-STL4.DAT Wilburton Bridge Load Rating RATING FACTOR REPORT ANALYSIS POINT NO. 1: 104.00 LOAD LEVELS TRUCK DESCRIPTION 1: 1.00( 1.25 * D + 1.40 * L ) 1. AASHTO HS20-44 (MS 18) TRUCK 2. AASHTO HS20-44 (MS 18) LANE 3. SPECIAL-LOAD 4. SPECIAL-LOAD 5. SPECIAL-LOAD 6. SPECIAL-LOAD 7. SPECIAL-LOAD 8. SPECIAL-LOAD 9. SPECIAL-LOAD 10. SPECIAL-LOAD ----------------------------------------- STRENGTH ------------------------------------------ LOAD LEVEL 1 ----- LOAD LEVEL 2 ----- LOAD LEVEL 3 ----- LOAD LEVEL 4 --------------------------------------------------------------------------------------------- FLEXURE TRUCK 1 11.97 N/A N/A N/A TRUCK 2 14.78 N/A N/A N/A TRUCK 3 16.68 N/A N/A N/A TRUCK 4 13.60 N/A N/A N/A TRUCK 5 13.73 N/A N/A N/A TRUCK 6 13.41 N/A N/A N/A TRUCK 7 15.45 N/A N/A N/A TRUCK 8 14.75 N/A N/A N/A TRUCK 9 16.74 N/A N/A N/A TRUCK 10 07.55 N/A N/A N/A CRITICAL 07.55 N/A N/A N/A REINFORCEMENT TRUCK 1 N/A N/A N/A N/A TRUCK 2 N/A N/A N/A N/A TRUCK 3 N/A N/A N/A N/A TRUCK 4 N/A N/A N/A N/A TRUCK 5 N/A N/A N/A N/A TRUCK 6 N/A N/A N/A N/A TRUCK 7 N/A N/A N/A N/A TRUCK 8 N/A N/A N/A N/A TRUCK 9 N/A N/A N/A N/A TRUCK 10 N/A N/A N/A N/A CRITICAL N/A N/A N/A N/A SHEAR TRUCK 1 04.95 N/A N/A N/A TRUCK 2 06.62 N/A N/A N/A TRUCK 3 06.88 N/A N/A N/A TRUCK 4 06.06 N/A N/A N/A TRUCK 5 06.26 N/A N/A N/A TRUCK 6 05.60 N/A N/A N/A TRUCK 7 06.36 N/A N/A N/A TRUCK 8 06.16 N/A N/A N/A TRUCK 9 06.93 N/A N/A N/A TRUCK 10 03.23 N/A N/A N/A CRITICAL 03.23 N/A N/A N/A BEARING TRUCK 1 N/A N/A N/A N/A TRUCK 2 N/A N/A N/A N/A TRUCK 3 N/A N/A N/A N/A TRUCK 4 N/A N/A N/A N/A TRUCK 5 N/A N/A N/A N/A TRUCK 6 N/A N/A N/A N/A TRUCK 7 N/A N/A N/A N/A TRUCK 8 N/A N/A N/A N/A TRUCK 9 N/A N/A N/A N/A TRUCK 10 N/A N/A N/A N/A CRITICAL N/A N/A N/A N/A ---------------------------------------------------------------------------------------------
C-133
King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 32 of 38 ISE, PLLC
WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 28 WB-STL4.DAT Wilburton Bridge Load Rating RATING FACTOR REPORT ANALYSIS POINT NO. 1: 104.00 LOAD LEVELS TRUCK DESCRIPTION 1: 1.00( 1.25 * D + 1.40 * L ) 1. AASHTO HS20-44 (MS 18) TRUCK 2. AASHTO HS20-44 (MS 18) LANE 3. SPECIAL-LOAD 4. SPECIAL-LOAD 5. SPECIAL-LOAD 6. SPECIAL-LOAD 7. SPECIAL-LOAD 8. SPECIAL-LOAD 9. SPECIAL-LOAD 10. SPECIAL-LOAD --------------------------------------- SERVICEABILITY -------------------------------------- LOAD LEVEL 1 ----- LOAD LEVEL 2 ----- LOAD LEVEL 3 ----- LOAD LEVEL 4 --------------------------------------------------------------------------------------------- STEEL TRUCK 1 N/A N/A N/A N/A TRUCK 2 N/A N/A N/A N/A TRUCK 3 N/A N/A N/A N/A TRUCK 4 N/A N/A N/A N/A TRUCK 5 N/A N/A N/A N/A TRUCK 6 N/A N/A N/A N/A TRUCK 7 N/A N/A N/A N/A TRUCK 8 N/A N/A N/A N/A TRUCK 9 N/A N/A N/A N/A TRUCK 10 N/A N/A N/A N/A CRITICAL N/A N/A N/A N/A REINFORCEMENT TRUCK 1 N/A N/A N/A N/A TRUCK 2 N/A N/A N/A N/A TRUCK 3 N/A N/A N/A N/A TRUCK 4 N/A N/A N/A N/A TRUCK 5 N/A N/A N/A N/A TRUCK 6 N/A N/A N/A N/A TRUCK 7 N/A N/A N/A N/A TRUCK 8 N/A N/A N/A N/A TRUCK 9 N/A N/A N/A N/A TRUCK 10 N/A N/A N/A N/A CRITICAL N/A N/A N/A N/A ------------------------------------------ FATIGUE ------------------------------------------ STEEL TRUCK 1 N/A N/A N/A N/A TRUCK 2 N/A N/A N/A N/A TRUCK 3 N/A N/A N/A N/A TRUCK 4 N/A N/A N/A N/A TRUCK 5 N/A N/A N/A N/A TRUCK 6 N/A N/A N/A N/A TRUCK 7 N/A N/A N/A N/A TRUCK 8 N/A N/A N/A N/A TRUCK 9 N/A N/A N/A N/A TRUCK 10 N/A N/A N/A N/A CRITICAL N/A N/A N/A N/A
C-134
King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 33 of 38 ISE, PLLC
WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 29 WB-STL4.DAT Wilburton Bridge Load Rating RATING FACTOR REPORT ANALYSIS POINT NO. 2: 105.00 LOAD LEVELS TRUCK DESCRIPTION 1: 1.00( 1.25 * D + 1.40 * L ) 1. AASHTO HS20-44 (MS 18) TRUCK 2. AASHTO HS20-44 (MS 18) LANE 3. SPECIAL-LOAD 4. SPECIAL-LOAD 5. SPECIAL-LOAD 6. SPECIAL-LOAD 7. SPECIAL-LOAD 8. SPECIAL-LOAD 9. SPECIAL-LOAD 10. SPECIAL-LOAD ----------------------------------------- STRENGTH ------------------------------------------ LOAD LEVEL 1 ----- LOAD LEVEL 2 ----- LOAD LEVEL 3 ----- LOAD LEVEL 4 --------------------------------------------------------------------------------------------- FLEXURE TRUCK 1 11.60 N/A N/A N/A TRUCK 2 14.11 N/A N/A N/A TRUCK 3 16.09 N/A N/A N/A TRUCK 4 13.34 N/A N/A N/A TRUCK 5 13.16 N/A N/A N/A TRUCK 6 12.97 N/A N/A N/A TRUCK 7 14.84 N/A N/A N/A TRUCK 8 14.13 N/A N/A N/A TRUCK 9 16.07 N/A N/A N/A TRUCK 10 07.52 N/A N/A N/A CRITICAL 07.52 N/A N/A N/A REINFORCEMENT TRUCK 1 N/A N/A N/A N/A TRUCK 2 N/A N/A N/A N/A TRUCK 3 N/A N/A N/A N/A TRUCK 4 N/A N/A N/A N/A TRUCK 5 N/A N/A N/A N/A TRUCK 6 N/A N/A N/A N/A TRUCK 7 N/A N/A N/A N/A TRUCK 8 N/A N/A N/A N/A TRUCK 9 N/A N/A N/A N/A TRUCK 10 N/A N/A N/A N/A CRITICAL N/A N/A N/A N/A SHEAR TRUCK 1 06.78 N/A N/A N/A TRUCK 2 09.38 N/A N/A N/A TRUCK 3 09.33 N/A N/A N/A TRUCK 4 08.78 N/A N/A N/A TRUCK 5 09.29 N/A N/A N/A TRUCK 6 07.61 N/A N/A N/A TRUCK 7 08.62 N/A N/A N/A TRUCK 8 08.32 N/A N/A N/A TRUCK 9 09.40 N/A N/A N/A TRUCK 10 04.65 N/A N/A N/A CRITICAL 04.65 N/A N/A N/A BEARING TRUCK 1 N/A N/A N/A N/A TRUCK 2 N/A N/A N/A N/A TRUCK 3 N/A N/A N/A N/A TRUCK 4 N/A N/A N/A N/A TRUCK 5 N/A N/A N/A N/A TRUCK 6 N/A N/A N/A N/A TRUCK 7 N/A N/A N/A N/A TRUCK 8 N/A N/A N/A N/A TRUCK 9 N/A N/A N/A N/A TRUCK 10 N/A N/A N/A N/A CRITICAL N/A N/A N/A N/A ---------------------------------------------------------------------------------------------
C-135
King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 34 of 38 ISE, PLLC
WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 30 WB-STL4.DAT Wilburton Bridge Load Rating RATING FACTOR REPORT ANALYSIS POINT NO. 2: 105.00 LOAD LEVELS TRUCK DESCRIPTION 1: 1.00( 1.25 * D + 1.40 * L ) 1. AASHTO HS20-44 (MS 18) TRUCK 2. AASHTO HS20-44 (MS 18) LANE 3. SPECIAL-LOAD 4. SPECIAL-LOAD 5. SPECIAL-LOAD 6. SPECIAL-LOAD 7. SPECIAL-LOAD 8. SPECIAL-LOAD 9. SPECIAL-LOAD 10. SPECIAL-LOAD --------------------------------------- SERVICEABILITY -------------------------------------- LOAD LEVEL 1 ----- LOAD LEVEL 2 ----- LOAD LEVEL 3 ----- LOAD LEVEL 4 --------------------------------------------------------------------------------------------- STEEL TRUCK 1 N/A N/A N/A N/A TRUCK 2 N/A N/A N/A N/A TRUCK 3 N/A N/A N/A N/A TRUCK 4 N/A N/A N/A N/A TRUCK 5 N/A N/A N/A N/A TRUCK 6 N/A N/A N/A N/A TRUCK 7 N/A N/A N/A N/A TRUCK 8 N/A N/A N/A N/A TRUCK 9 N/A N/A N/A N/A TRUCK 10 N/A N/A N/A N/A CRITICAL N/A N/A N/A N/A REINFORCEMENT TRUCK 1 N/A N/A N/A N/A TRUCK 2 N/A N/A N/A N/A TRUCK 3 N/A N/A N/A N/A TRUCK 4 N/A N/A N/A N/A TRUCK 5 N/A N/A N/A N/A TRUCK 6 N/A N/A N/A N/A TRUCK 7 N/A N/A N/A N/A TRUCK 8 N/A N/A N/A N/A TRUCK 9 N/A N/A N/A N/A TRUCK 10 N/A N/A N/A N/A CRITICAL N/A N/A N/A N/A ------------------------------------------ FATIGUE ------------------------------------------ STEEL TRUCK 1 N/A N/A N/A N/A TRUCK 2 N/A N/A N/A N/A TRUCK 3 N/A N/A N/A N/A TRUCK 4 N/A N/A N/A N/A TRUCK 5 N/A N/A N/A N/A TRUCK 6 N/A N/A N/A N/A TRUCK 7 N/A N/A N/A N/A TRUCK 8 N/A N/A N/A N/A TRUCK 9 N/A N/A N/A N/A TRUCK 10 N/A N/A N/A N/A CRITICAL N/A N/A N/A N/A
C-136
King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 35 of 38 ISE, PLLC
WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 31 WB-STL4.DAT Wilburton Bridge Load Rating RATING FACTOR REPORT ANALYSIS POINT NO. 3: 100.00 LOAD LEVELS TRUCK DESCRIPTION 1: 1.00( 1.25 * D + 1.40 * L ) 1. AASHTO HS20-44 (MS 18) TRUCK 2. AASHTO HS20-44 (MS 18) LANE 3. SPECIAL-LOAD 4. SPECIAL-LOAD 5. SPECIAL-LOAD 6. SPECIAL-LOAD 7. SPECIAL-LOAD 8. SPECIAL-LOAD 9. SPECIAL-LOAD 10. SPECIAL-LOAD ----------------------------------------- STRENGTH ------------------------------------------ LOAD LEVEL 1 ----- LOAD LEVEL 2 ----- LOAD LEVEL 3 ----- LOAD LEVEL 4 --------------------------------------------------------------------------------------------- FLEXURE TRUCK 1 N/A N/A N/A N/A TRUCK 2 N/A N/A N/A N/A TRUCK 3 N/A N/A N/A N/A TRUCK 4 N/A N/A N/A N/A TRUCK 5 N/A N/A N/A N/A TRUCK 6 N/A N/A N/A N/A TRUCK 7 N/A N/A N/A N/A TRUCK 8 N/A N/A N/A N/A TRUCK 9 N/A N/A N/A N/A TRUCK 10 N/A N/A N/A N/A CRITICAL N/A N/A N/A N/A REINFORCEMENT TRUCK 1 N/A N/A N/A N/A TRUCK 2 N/A N/A N/A N/A TRUCK 3 N/A N/A N/A N/A TRUCK 4 N/A N/A N/A N/A TRUCK 5 N/A N/A N/A N/A TRUCK 6 N/A N/A N/A N/A TRUCK 7 N/A N/A N/A N/A TRUCK 8 N/A N/A N/A N/A TRUCK 9 N/A N/A N/A N/A TRUCK 10 N/A N/A N/A N/A CRITICAL N/A N/A N/A N/A SHEAR TRUCK 1 08.57 N/A N/A N/A TRUCK 2 09.64 N/A N/A N/A TRUCK 3 12.09 N/A N/A N/A TRUCK 4 09.56 N/A N/A N/A TRUCK 5 09.21 N/A N/A N/A TRUCK 6 09.80 N/A N/A N/A TRUCK 7 11.18 N/A N/A N/A TRUCK 8 10.89 N/A N/A N/A TRUCK 9 12.20 N/A N/A N/A TRUCK 10 05.11 N/A N/A N/A CRITICAL 05.11 N/A N/A N/A BEARING TRUCK 1 07.33 N/A N/A N/A TRUCK 2 08.24 N/A N/A N/A TRUCK 3 10.34 N/A N/A N/A TRUCK 4 08.18 N/A N/A N/A TRUCK 5 07.88 N/A N/A N/A TRUCK 6 08.38 N/A N/A N/A TRUCK 7 09.56 N/A N/A N/A TRUCK 8 09.32 N/A N/A N/A TRUCK 9 10.43 N/A N/A N/A TRUCK 10 04.37 N/A N/A N/A CRITICAL 04.37 N/A N/A N/A ---------------------------------------------------------------------------------------------
C-137
King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 36 of 38 ISE, PLLC
WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 32 WB-STL4.DAT Wilburton Bridge Load Rating RATING FACTOR REPORT ANALYSIS POINT NO. 3: 100.00 LOAD LEVELS TRUCK DESCRIPTION 1: 1.00( 1.25 * D + 1.40 * L ) 1. AASHTO HS20-44 (MS 18) TRUCK 2. AASHTO HS20-44 (MS 18) LANE 3. SPECIAL-LOAD 4. SPECIAL-LOAD 5. SPECIAL-LOAD 6. SPECIAL-LOAD 7. SPECIAL-LOAD 8. SPECIAL-LOAD 9. SPECIAL-LOAD 10. SPECIAL-LOAD --------------------------------------- SERVICEABILITY -------------------------------------- LOAD LEVEL 1 ----- LOAD LEVEL 2 ----- LOAD LEVEL 3 ----- LOAD LEVEL 4 --------------------------------------------------------------------------------------------- STEEL TRUCK 1 N/A N/A N/A N/A TRUCK 2 N/A N/A N/A N/A TRUCK 3 N/A N/A N/A N/A TRUCK 4 N/A N/A N/A N/A TRUCK 5 N/A N/A N/A N/A TRUCK 6 N/A N/A N/A N/A TRUCK 7 N/A N/A N/A N/A TRUCK 8 N/A N/A N/A N/A TRUCK 9 N/A N/A N/A N/A TRUCK 10 N/A N/A N/A N/A CRITICAL N/A N/A N/A N/A REINFORCEMENT TRUCK 1 N/A N/A N/A N/A TRUCK 2 N/A N/A N/A N/A TRUCK 3 N/A N/A N/A N/A TRUCK 4 N/A N/A N/A N/A TRUCK 5 N/A N/A N/A N/A TRUCK 6 N/A N/A N/A N/A TRUCK 7 N/A N/A N/A N/A TRUCK 8 N/A N/A N/A N/A TRUCK 9 N/A N/A N/A N/A TRUCK 10 N/A N/A N/A N/A CRITICAL N/A N/A N/A N/A ------------------------------------------ FATIGUE ------------------------------------------ STEEL TRUCK 1 N/A N/A N/A N/A TRUCK 2 N/A N/A N/A N/A TRUCK 3 N/A N/A N/A N/A TRUCK 4 N/A N/A N/A N/A TRUCK 5 N/A N/A N/A N/A TRUCK 6 N/A N/A N/A N/A TRUCK 7 N/A N/A N/A N/A TRUCK 8 N/A N/A N/A N/A TRUCK 9 N/A N/A N/A N/A TRUCK 10 N/A N/A N/A N/A CRITICAL N/A N/A N/A N/A
C-138
King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 37 of 38 ISE, PLLC
WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 33 WB-STL4.DAT Wilburton Bridge Load Rating LOAD RATING SUMMARY SHEET INVENTORY RATING LOAD NO. 1: AASHTO HS20-44 (MS 18) TRUCK TOTAL VEHICLE WT. : 36.00 (tons) CONTROLLING POINT : 104.00 LIMIT STATE : STEEL GIRDER (SHEAR STEEL STRENGTH ) RATING FACTOR (pos): 4.96 LOAD RATING : 178.46 (tons) LOAD NO. 2: AASHTO HS20-44 (MS 18) LANE TOTAL VEHICLE WT. : 36.00 (tons) CONTROLLING POINT : 104.00 LIMIT STATE : STEEL GIRDER (SHEAR STEEL STRENGTH ) RATING FACTOR (pos): 6.62 LOAD RATING : 238.40 (tons) LOAD NO. 3: SPECIAL-LOAD TOTAL VEHICLE WT. : 25.00 (tons) CONTROLLING POINT : 104.00 LIMIT STATE : STEEL GIRDER (SHEAR STEEL STRENGTH ) RATING FACTOR (pos): 6.88 LOAD RATING : 172.04 (tons) LOAD NO. 4: SPECIAL-LOAD TOTAL VEHICLE WT. : 36.00 (tons) CONTROLLING POINT : 104.00 LIMIT STATE : STEEL GIRDER (SHEAR STEEL STRENGTH ) RATING FACTOR (pos): 6.07 LOAD RATING : 218.47 (tons) LOAD NO. 5: SPECIAL-LOAD TOTAL VEHICLE WT. : 40.00 (tons) CONTROLLING POINT : 104.00 LIMIT STATE : STEEL GIRDER (SHEAR STEEL STRENGTH ) RATING FACTOR (pos): 6.26 LOAD RATING : 250.48 (tons) WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 34 WB-STL4.DAT Wilburton Bridge Load Rating LOAD NO. 6: SPECIAL-LOAD TOTAL VEHICLE WT. : 31.00 (tons) CONTROLLING POINT : 104.00 LIMIT STATE : STEEL GIRDER (SHEAR STEEL STRENGTH ) RATING FACTOR (pos): 5.60 LOAD RATING : 173.67 (tons) LOAD NO. 7: SPECIAL-LOAD TOTAL VEHICLE WT. : 27.00 (tons) CONTROLLING POINT : 104.00 LIMIT STATE : STEEL GIRDER (SHEAR STEEL STRENGTH ) RATING FACTOR (pos): 6.36 LOAD RATING : 171.78 (tons) LOAD NO. 8: SPECIAL-LOAD TOTAL VEHICLE WT. : 27.50 (tons) CONTROLLING POINT : 104.00 LIMIT STATE : STEEL GIRDER (SHEAR STEEL STRENGTH ) RATING FACTOR (pos): 6.16 LOAD RATING : 169.42 (tons) LOAD NO. 9: SPECIAL-LOAD TOTAL VEHICLE WT. : 24.75 (tons) CONTROLLING POINT : 104.00 LIMIT STATE : STEEL GIRDER (SHEAR STEEL STRENGTH ) RATING FACTOR (pos): 6.94 LOAD RATING : 171.69 (tons) LOAD NO. 10: SPECIAL-LOAD TOTAL VEHICLE WT. : 67.05 (tons) CONTROLLING POINT : 104.00 LIMIT STATE : STEEL GIRDER (SHEAR STEEL STRENGTH ) RATING FACTOR (pos): 3.23 LOAD RATING : 216.70 (tons)
C-139
King County Parks December, 2015 Wilburton Trestle - Main Steel Span Rating (WB-STL4)
Page 38 of 38 ISE, PLLC
WYOMING DEPARTMENT OF TRANSPORTATION DATE 12/21/** BRIDGE DESIGN DIVISION PAGE NO 35 WB-STL4.DAT Wilburton Bridge Load Rating RATING NOTES: 1. The flexural capacity of the section is a function of the whether the section is compact, braced, or unbraced, all of which are a function of unbraced length which is a function of the moment diagram, loading, and load factors. Additionally, the moment at first yield for composite section is a function of dead load and dead load factors. Therefore, the flexural capacity is a function of loading and load factors. Finally, the flexural capacity of hybrid sections are calculated by first yield, see AASHTO 10.53.2. 2. THE CRITICAL RATING FACTORS ARE BASED ON THE TABLE BELOW: LOAD LEVEL STRENGTH SERVICEABILITY FATIGUE STEEL/REINF No. 1: 1.00( 1.25 * D + 1.40 * L ) Inv n/a n/a No. 2: .00( .00 * D + .00 * L ) n/a Inv n/a No. 3: .00( .00 * D + .00 * L ) Oper n/a n/a No. 4: .00( .00 * D + .00 * L ) n/a Oper Inv Example: For an inventory summary rating all rating factors for strength were scanned for load level no. 1. Next all serviceability rating factors were scanned for load level no. 2, and finally, the rating factors for fatigue were scanned for load level no. 4. The most critical of these scans is reported in the summary. Only the load level requested are scanned, e.g., if only the INV command is used then only level no. 1 is scanned. Note that for load factor steel the commands INV, OPG, SLD, PST are used to define load level and (unfortunately) are not related to the traditional rating levels, e.g., inventory. 3. The serviceability rating for steel is based on 0.80 Fy (non-composite) or 0.95 Fy (composite). The reinforcement is included in the rating factor for composite section in negative moment (0.8Fy). Load level no. 4 is used for fatigue. The allowable fatigue stesss is entered in field 9 of the STEEL-4 card. 4. At the present time BRASS-Girder does not rate shear connectors (AASHTO 10.52). If a rating is desired the computations must be run manually. 5. For composite girder sections the NEGATIVE MOMENT capacity is based on one of the following: a) For compact sections, flexural strength is based on Fy * Sp only. (Reinforcement over the negative moment region is ignored). b) For non-compact braced sections, flexural strength is adjusted to account for negative reinforcement over this region. c) For unbraced sections the flexural capacity is calculated by AASHTO 10.48.4. Reinforcement is ignored.
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