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1
5 storey office building Alvarez Anthony M.
Technological institute of the Philippines
Quezon City
2
Contents 5 storey office building .......................................................................................................................... 1 CHAPTER 1 PROJECT BACKGROUND .............................................................................................. 2 THE PROJECT ..................................................................................................................................... 3 The Client ............................................................................................................................................. 4 Project Scope and limitations ................................................................................................................ 4 Project Development ............................................................................................................................. 5 CHAPTER 2 DESIGN INPUT ............................................................................................................... 6 GROUND FLOOR PLAN .................................................................................................................... 10 2ND TO 5TH FLOOR PLAN ................................................................................................................... 11 CHAPTER 3 CONSTRAINT, TRADE-OFF AND STANDARDS .......................................................... 12 DESING CRITIREA ............................................................................................................................ 12 Initial estimate ..................................................................................................................................... 14 TRADE OFF SELECTED .................................................................................................................... 15 CODES AND STANDARDS ................................................................................................................ 15 DESIGN OF COMPRESION MEMBER .............................................................................................. 16 Member subjected to both axial compression and bending stress ...................................................... 17 METHODOLOGY ................................................................................................................................ 19 STRUCTURAL DESIGN ..................................................................................................................... 19 STAAD STRUCTURAL ANALYSIS .................................................................................................... 22 LOAD INPUTS .................................................................................................................................... 28 BEAM REACTION AND MOMENTS .................................................................................................. 29 Cost estimate ...................................................................................................................................... 31 Man hour estimate .............................................................................................................................. 31 Designers final choice ......................................................................................................................... 31 FINAL OUTPUT OF DESIGN ............................................................................................................. 32 BEAMS ............................................................................................................................................... 32 COLUMN ............................................................................................................................................ 33 TRUSS ................................................................................................................................................ 34 PURLINS ............................................................................................................................................ 35 COMPUTATION OF COLUMNS ......................................................................................................... 36 DESIGN OF BASE PLATE ................................................................................................................. 38 Design of purlins ................................................................................................................................. 40 Computation of beam(w flanged) ........................................................................................................ 42 Computation of beams(WT-section) ................................................................................................... 45
3
CHAPTER 1 PROJECT BACKGROUND THE PROJECT The project main goal is to develop the structural design a 5 office building located at loyala height subdivision
Alaminos Laguna. This building will be used a 2 rentablespace on the ground level and the rest of the floor
will be used as an office .. The building is owned by Rizalino G. Fule
The 5 storey building is a regular shahperd building with a footprint dimension of 18m x 18m
the total building area is 1620sqm. Each level of the building will have the area of 324 sqm. The height
level per floor will b 3 m. it has a main stair located at the center of the building. The project will be
designed as steel structure for the footing structural framing and flooring
4
The Client The client for this project is Rizalino G. Fule , a business man
Project Scope and limitations The scope and limitation is provided a desing as follow
To provide conceptual design plans to the client adhering to the relevant codes and standards
Analyze the structure using staad pro
Provide design drawings as well as structural member detail
the following were not covered in the design project
Detail activities in construction management
Detail computation of building cost estimates such as mechanical , electrical plumbing , sanitation ,
architectural , etc
5
Project Development
The
completion of the design had undergone various stages as shown in Figure 1-2. The project started with the
conceptualization of form and geometry of the structure, and structural layout such as framing of the structure,
seismic support design, and foundation design. Consideration of constraints, trade-offs, and standards then
followed. At this stage, the client and the designers explored design alternatives considering constraints in
cost of the entire structure and possible design aspects. The client expressed they want to use the training
facility right away. After careful planning, the client and designers agreed to use composite cast-in place
reinforced concrete slab design when compared with the composite slab design for speed of construction.
The design of the structure followed.
project proposal
evaluating multiple constraint and trade
of present in the project
creating multiple scheme base on the
project trade off
comparing and selecting the best
scheme base on the project constraint
Designing the structure base on
the selected scheme
final output of the project
6
CHAPTER 2 DESIGN INPUT The building will be comprises of steel framing. the structural will be regular across the longitudinal
direction the main stair will be located at the center of the building and two emergency stair are place on
corner of the building and the elevator is also place along the center of the building to reduce the effect of
eccentricity of the building.
7
8
9
10
GROUND FLOOR PLAN
11
2ND TO 5TH FLOOR PLAN
12
CHAPTER 3 CONSTRAINT, TRADE-OFF AND STANDARDS
DESING CRITIREA Among the possible constraint, the following will be considered to have relevant design of the project
1). Economic or cost- the project will be limited to specific amount of budget and the client also want to
make sure the that the cost of the project will be at minimal without sacrificing the quality of the construction
this involved consideration of proper mater to be used or the proper mythology of construction.
In this project w flange beam will be compared to truss beam initially booth values are still unknown until
detail computation are made.
2) Manufacturability or construction duration- in this criteria availability of the material is being consider and
and how will be those material be installed on the building. The duration of the construction can be
considered in here, comparing which material and method of construction
in comparing W flange to truss beam , W flange will have an obvious advantage on over truss beam
because the truss beam has to be fabricated on site will the W flange just need to be cut and installed on
the building
Design Trade-offs Design trade-off strategies are always present in a design process. Let us use the word conservative design strategy to describe a design strategy in trading off to improve the lower performing goals. The design overall preference will be based on the lowest one but good in quality. On the other hand, the designer may wish to slightly lessen the some weaker goals in a design if large gains can be made in other goals which would more than compensate for the slight cost. Trade-offs is needed to have options on which to use or which is more convenient. It is usually affected by costs and potential bias of sample design. By having trade-offs, the designer can properly rate which is more effective and remove his/her preferences. To have a proper design, the designer need to follow typical requirements for selecting a sample. This
includes:.
Minimize overall error. The use of conventional procedures for computation to deliver the minimum error.
Match the case distribution. This is needed in order to be exact on its design. The design is already a rough estimate so over-estimating or under-estimating, it will have a major gap in result.
Permit analysis using special software. It is conventional to use the software to help in the computation needed by the design.
There are two alternative patterns in order to accomplish the best design and mitigate future probable
conflicts. The designers used a ranking comparison to determine the accurate to use. The weight of each
criterion is based on the assessment of Otto and Anderson in 1991, which indicates zero (0) as least
13
important and five (5) as highly necessary parameter for the design of the project (Otto & Antonsson,
1991).
Equation 3-2 is a subordinate rank which corresponds to its percentage distance from the governing rank along the ranking scale. The governing rank is a personal choice of the designer which assign the value for the criterions importance and the ability to satisfy the criterion. It depends on the initial estimate on the decision criteria which the designer can initially select. In Table 3-1, the designer ranked the design considerations and constraints as an initial estimate to help them visualize the possible outcome. Raw ranking is to be used to assigned the design methodologys ability and satisfy the criterion (on a scale from -5 to 5, 5 with the highest ability to satisfy the criterion) was likewise tabulated. The designer set the criterions important for economic constraints (cost) as five (5) since the cost for the design is much observed. For constructability (duration), it is rank as four (4) because of its early completion of the project. After considering the constraints and the consideration for the proposed design, the initial estimate of the
trade-offs were made by the designer to help then to visualize the possible result.
14
Initial estimate:
The design for the initial estimate where base on the most common used size of beam based on the
structural section table(SST) of Canadian Institute of Steel construction(CISC) version 9.2
-MAN HOUR BASE ON TECHNICAL CALCULATION AND ESTIMATOR MANAUL BY MARKO BULIC
Structural Framing Schedule(TRUSS FRAME)
Family and Type Count Length A Mass C-Channel: C10X20 13 237.9 3787 7344256.491 WT-Structural Tee: WT5X56 65 270.49 10645.14 23472572.01 WT-Structural Tee: WT7X88 576 882 16709.64 120141698.4 Grand total: 1194 150958526.9 PHP 6,038,341,075.95
Structural Framing Schedule(W-BEAM FRAME)
Family and Type Count Length A Mass C-Channel: C10X20 13 237.9 3787 7344256.491 W-Wide flangge: w12x87 120 720 20128.99 118144244.4 WT-Structural Tee: WT5X56 65 270.49 10645.14 23472572.01 Grand total:231 148961072.9 PHP 5,958,442,916.89
% difference= PHP 6,038,341,075.95 - PHP 5,958,442,916.89 x10
PHP 5,958,442,916.89
subordinate rank= 5 - 0.134092346 = 4.865907654 Man HOUR
1900 HR 1500 HR
% difference= 1900 - 1500
x10 1900
subordinate rank= 5 - 2.105263158 = 2.894736842
15
DECISION CRITERIA CRITERION W-FLANGE TRUSS BEAM
ECONOMIC 5 4.86590765 2.894736842
CONSTRUCTABILIT 4 0.13409235 2.105263158
24.8659077 22.89473684
TRADE OFF SELECTED The tradeoff I selected will be W flange beam against Truss beam.
in initial in comparison of both design in terms of it advantages and disadvantage are equal
both trade off doesnt have a huge initial advantages over another.,
the design will be compared using the constraint of economical and manufacturability
in term of economical the final cost of the structure will be based on the weight of member w flange could
be much heavier than the truss beam but in truss beam it might be much lighter but hard to construct which
will be compared in the second constraint which is the manufacturability
Design Standards
CODES AND STANDARDS This design project conforms with the following codes and standards:
1. National Structural Code of the Philippines (NSCP) vol. 1-2010 edition (PD1096) 2. Uniform Building Code (UBC) 3. National Building Code of the Philippines
The National Building Code of the Philippines (PD 1096).The National Building Code of the Philippines, also
known as Presidential Decree No. 1096 was formulated and adopted as a uniform building code to embody
up-to-date and modern technical knowledge on building design, construction, use, occupancy and
maintenance. The Code provides for all buildings and structures, a framework of minimum standards and
requirements to regulate and control location, site, design, and quality of materials, construction, use,
occupancy, and maintenance.
A. Loading : UBC 97, ASCE 7-05 B. Reinforced Concrete : ACI 318M-05 C. Steel : A36
The National Structural Code of the Philippines 2010.This code provides minimum standards to safeguard
life or limb, property and public welfare by regulating and controlling the design, construction, quality of
materials pertaining to the structural aspects of all buildings and structures within its jurisdiction. The provision
of this code shall apply to the construction, alteration, moving, demolition, repair, maintenance and use of
any building or structure within its jurisdiction, except work located primarily in a public way, public utility
16
towers and poles, hydraulic flood control structures, and indigenous family dwellings. Code used to design
the structure was attached in Appendix B.
DESIGN OF COMPRESION MEMBER 505.3 ALLOWABLE STRESS 505.3.1 On the gross section of axially loaded compression members whose cross sections meet the provisions of Table 502-1, when Kllr, the largest effective slenderness ratio of any unbraced segment is less than Cc, the allowable stress is:
505.2.2 On the gross section of axially loaded compression members, when KI/r exceeds Cc the allowable stress is:
17
Member subjected to both axial compression and bending stress 508.2.1 Members subjected to both axial compression and bending stresses shall be proportioned to satisfY the following requirements:
DESIGN OF MEMBER SUBJECTED TO BENDING STRESS
506.2 ALLOWABLE STRESS: STRONG AXIS BENDING OF I-SHAPED MEMBERS AND CHANNELS 506.2.1 Members with Compact Sections 506.2.1.1 For members with compact sections as defined in Section 502.6.1 (excluding hybrid beams and members with yield points greater than 448 MPa) symmetrical about, and loaded in, the plane of their minor axis the allowable stress IS:
Fb=0.66fy
provided the flanges are connected continuously to the web or webs and the laterally unsupported length of the compression flange Lh does not exceed the value of Le, as given by the smaller of:
18
Member with non compact sections
Meeting the requirements of section except that their flanges are non compact
the allowable bending stress is
Structural
Loadings.The forces acting on the structure are categorized into three, namely dead load, live load, and
environmental loads (wind and earthquake). The required lateral loads due to wind and earthquake forces
shall be separately calculated.
Seismic Loads.Seismic forces were determined based on the equivalent static force procedure and computed
following the provisions of NSCP 2001, section 2.2.
using the following combination:
1.2DL + 1.6LL
0.75(1.2DL + 1.6LL + 1.7WL)
0.75(1.2DL + 1.6LL + 1.87EL)
0.9DL + 1.3WL
Deformation Limits.Structures or structural members shall be checked such that the maximum deformation
does not exceed the following:
a. Beams and Girders. Beams and girders supporting floors and roof shall be proportioned with due regard to the deflection produced by the design loads. Considering then the total deflection, which is due to the additional live loads, occurring after attachment of non-structural elements shall not exceed L/360.
CHAPTER 4:DESIGN OF STRUCTURE
19
METHODOLOGY The whole structure is being governed by various standards and constraint, in this project STEEL is being
used to reinforce the whole structure. The design will be using working stress design (WSD)
STRUCTURAL DESIGN The design was of the structure where followed by the given flow chart., the program that was used is
Staadpro V8i.
GEOMETRIC MODEL OF THE STRUCTURE
GEOMETRIC SPECIFICATION
MATERIAL PROPERTIES
SUPPORT MODEL
LOAD MODEL
(Adding primary load
combination loads)
STRUCTURAL ANALYSIS
STRUCTURAL DESIGN
DESIGN DETAIL
GENERAL DESIGN PROCESS
The illustration below show the comparison between the two (2) trade-offs, beams made up up regular
rolled up section and beams made up of truss using the WT beam section.
20
Booth trade of has the same framing layout.
21
RIGHT
RIGHT
FRONT
FRONT
LEFT
LEFT
22
STAAD STRUCTURAL ANALYSIS
W-flange frame beam
EARTHQUAKE
X DIRECTION
Z DIRECTION
23
Live load
DEAD LOAD
24
25
Truss framed beam
EQUAKE LOAD
26
DEADLOAD
27
LIVE LOAD
28
LOAD INPUTS
DEAD LOAD
CHB WALL 2.3 kpa
CERAMIC FINISH 1.53 kpa
CEILING FIBER BOARD 0.05 kpa
PLUMBING AND ELECTRICAL 1 kpa
CONRETE FILL 0.21 kpa
PARTITION LOADS 1 kpa
SLAB WEIGHT 3.53 kpa
TOTAL DEAD LOAD 9.62 kpa
LIVE LOAD
SECOND TO FITH FLOOR 2.4 kpa
WIND LOAD
zone zone 2
zone location B(case 1)
exposure 1
importance factor 1
wind direction 1
occupancy importance standard occpancy
enclosure partally enclosed
Seismic analysis
Seismic zone factor-z 0.4
SMRF 0.0853
SEISMIC COEF. Ca .44NA
SESMIC COEF Cv .64NV
NEAR SOURCE , Na 1.6
NEAR SOURCE , Nv 1.2
IMPORTANCE FACTOR 1
29
BEAM REACTION AND MOMENTS
MAXIMUM FORCES EXPERIENCE BY THE STRUCTURE
AXIAL MX My
COLUMN 2186 40.1 61.95
BEAM W 117 168 9
TRUSS 567 122.75 99.693
FOR TRUSS FRAME
BEAM WT 115 47.4 1.2
Validation of trade offs
Provided by the initial ranking shown in chapter 3, this section made a scheme to select the best
performance for steel which if it is best to select beam made up or regular rolled up section or to have a
beam with a truss frame structure, both tradeoff are design with accordance with engineering codes and
standard with consideration to the design constraint evolving the economic and constructability constraint.
30
the following are the results:
Structural Framing Schedule(TRUSS FRAME)
Family and Type Count Length A Mass
C-Channel: C10X20 13 237.9 3787 7344256.491 WT-Structural Tee: WT7X60 65 270.49 11419.33 25179663.74
WT-Structural Tee: WT7X60 576 882 13548.36 97412211.21
Grand total: 1194 129936131.4 PHP 5,197,445,257.80
Structural Framing Schedule(W-BEAM FRAME)
Family and Type Count Length A Mass
C-Channel: C10X20 13 237.9 3787 7344256.491 W-Wide flangge: w12x136 120 720 25714.88 150929831.5
WT-Structural Tee: WT7x60 65 270.49 11419.33 25179663.74 Grand total:231
183453751.7 PHP 7,338,150,067.57
% difference= PHP 5,197,445,257.80 - PHP 7,338,150,067.57
PHP 7,338,150,067.57
subordinate rank= 5 - 2.917226808 = 2.082773192 Man HOUR
1900 HR 1500 HR
% difference= 1900 - 1500
1900
subordinate rank= 5 - 2.105263158 = 2.894736842
DECISION CRITERIA CRITERION W-FLANGE TRUSS BEAM
ECONOMIC 5 2.89473684 2.082773192
CONSTRUCTABILIT 4 2.10526316 2.917226808
22.8947368 22.08277319
31
Cost estimate The factor to be consider in the cost ,include the beams ,trusses with there corresponding prices. It is
presented that having truss bean is more economical compared to W-beam.
Man hour estimate the factor to be consider is the duration of the construction base on what material was used or specified. It
is presented that the truss beam took longer to install than the w flange beam.
Designers final choice In this chapter the designer is presented a choice to make the design of the structure to be a regular w-
flanged beam or to have a truss beam framing system . both are weighted to different constraint and using
the result from the raw designers ranking the structure is best fit for regular w flange section.
32
FINAL OUTPUT OF DESIGN BEAMS
W12X136
33
COLUMN W14X132
34
TRUSS WT7X60
35
PURLINS C10X20
36
COMPUTATION OF COLUMNS
My= 40.17 kn.m
Cm= 0.85
Cb= 1.5
d=373.38 T X k= 0.65
tw=16.383
bf=373.38 =
Ix = mm^4
A = mm^2 Sx = mm^3 Cc=
d = mm rx = mm
tw = mm Iy = mm^4
Bf= mm Sy = mm^3
tf = mm ry = mm
k = mm Zx = mm^3
k1 = mm Zy = mm^3
rt = mm J = mm^4
fy= mpa L= mm
Fa=
Fa=
= 65.22 Fb= < 0.6Fy
Fb= 0.6 fy 149 mpa
= 32.079
= 143.75
> check = Fb2
= Fb3
< ok
Fb2 = 148.8 mpa
Fb3 = 148.8 mpa
Fb = 148.8 mpa
Fb= 149 mpa Fby= 0.75 fy
186 mpa
GOVERNING Fb WEAK AXIS
(2/3)-(Fy(l/rt) 2)/10.55Cb)Fy
WHEN
Fb= larger of( Fb2 and Fb3)or .6fy
41.4020 39639188.87
39.6875 1853003.72
102.870 5119646.53
248 3300
WHEN
373.380 1221669.11
26.162 95.504
16.383 228094821.23
25032.21 3427232.80
373.380 159.512
W14x132 636834081.17
fa=
=
37
bf < 170 d < 1680 NOTE
2Tf fy tw fy SECTION IS compact
7.135922 < 10.79501 22.7906977 < 106.68
fa= p
fbx=
mx fby=
My
A sx Sy
= 2186
fbx= 40170000
fby= 61950000
25032.21 3427232.80 1221669.11
= 87.327494 = 11.7208262 = 50.70931207 mpa
Kl
= 13.447
kL =
22.45979 rx Ry Cc= 126.15825
GOVERNING 22.45979226
FS= 5
+ 3(Kl/r)
- (kl/r)^3
3 8Cc 8Cc^3 = 1.732722
Fa= (1-(Kl/r)^2/2(Cc^2)) Fy fa=
P
Fa= 140.85924 MpA Fa fa= 87.327 mpa fa/Fa = 0.62 > 0.15 large axial compresion
for large axial compression F'ex= 12^2/23(Kl/r)^2 F'ey= 12^2/23(Kl/r)^2 = 5695.364 = 2041.6
0.93005 < 1 ok strength criterion
0.938278 < 1 ok
Cc= 2
+
(
) +
(
)
. +
+
38
DESIGN OF BASE PLATE
P= 2186 Kn COLUMN W14x132 Mx= 40.17 Kn-m Bf= 373.38 My= 61.95 Kn-m D= 373.38
H= 3300 mm Fy= 248 mpa Bmin= 500 F'c= 20.7 mpa Nmin= 500 Fu= 485 mpa
Fb= 0.75 fy
allable bearing stress on steel = 186 mpa Fp= 0.35 F'c
7.245 Mpa 0.95d= 354.71 0.8b= 298.7
Area of base plate 120 +
A= P P
+ 6mx
+ 6my
=fp Fp A bd^2 bd^2
= 2186000 2186000
+ 241020000
+ 371700000
7.245 448900 300763000 300763000
= 301725.3 mm^2 4.86968 + 0.8013619 + 1.235856804 =fp
Asumme to be square
N^2= 301725.3 fp= 6.9069 mpa ok
N= 549.2953 mm or 550 mm
m= 157.64 550 mm n= 185.65 adjusted 670 mm x= 185.65
new area
= 448900 mm^2
=
39
t= 63.462 mm say= 65 mm FINAL OUTPUT 670 mm x 670 mm x 65 mm
PROPERTIES D= 22 mm
ASTM A325 BOLTS Le= 50 mm
Fu 620 Mpa Ft= 0.5fu mpa
Ft= 310 mpa e= 500 mm
T= M
T= 40170000
e 500 T= 80340 NUMBER OF ANCHOR BOLT T= AsFt
T= nd^2Ft
4 n= 0.681782
= 1 each side
40
Design of purlins
C Shapes
Y
tf=11.0744
DEGREE= 12.5
wind pressure= 3.9 kn/m
DEAD LOAD= 0.8215 kn/m
d=254 LIVELOAD= 1 kn/m
FACTORED= 7.2658 kn/m
something is wrong
Mx 21.281 kn.m
my= 4.7178 kn.m
Ix = mm^4
A = mm^2 Sx = mm^3
d = mm rx = mm
tw = mm Iy = mm^4
bf = mm Sy = mm^3
tf = mm ry = mm
k = mm L= mm
fy= mpa
248
bf 170 d 1680
2Tffy
twfy
69.596 170 254.000 1680
22.1488 15.748 9.627 15.748
3.1422 < 10.795 ok 26.38522427 < 106.68 ok
compact
Lc= 200Bf 137,900
fy
(d/af)fy
13919.2 USE 883.8700839 mm
15.748
137900
81.7299Lc2= = 1687.27 mm
Lc1= = 883.87 mm
< &
therefore section is
< Lc =
Fb= 0.6 fy
Fb= 148.8 mpa
Fb= 148.8 mpa
fbx= 148.8 mpa fby= 186 mpa
Mx My
sx Sx
21280687.4 4717814.807
259092.56 21481.72
= 82.1354642 mpa = 219.6199279 mpa
fbx < Fbx fby > Fby
ok change section
fbx fby
Fbx Fby
82.135 219.619928
148.8 148.8
MAX Vu= 85.1227495 KN
L
ALL. Fy = 0.4Fy 360
V = 16.66666667 MM
DtW
Wl 4
34.813 < 99.2 ok 384EI
= 3.644989727 mm
16.66666667 > 3.6449897
NOTE ok
ACTUAL DEF.=
ALL. DEF=
< 0.4FY
+ = 2.0279
DEFLECTION
change section
SHEAR DESIGN
note NOTE
+ = 1
= =
fby ==fbx
strong axis weak axis
therefore use
for compact section for non compact section
148.8
section is compact
42
Computation of beam(w flanged)
Y
k1=31.75 Fx= 117 Kn
k=46.99 tf=31.75 Mx= 168 kn.m
My= 9 kn.m
d=340.36 T X
tw=20.066
bf=314.96
Ix = mm^4
A = mm^2 Sx = mm^3
d = mm rx = mm
tw = mm Iy = mm^4
Bf= mm Sy = mm^3
tf = mm ry = mm
k = mm Zx = mm^3
k1 = mm Zy = mm^3
rt = mm J = mm^4
fy= mpa L= mm
bf 170 d 1680
2Tf fy tw fy
314.960 170 340.360 1680
63.5 15.748 20.066 15.74802
4.96 < 10.795 ok 16.96203 < 106.6801 ok
compact
Lc= 200Bf 137,900
fy (d/af)fy
62992 USE 3999.996 mm
15.74802
137900
8.440945
340.360 141.732
25741.88
20.066 165660107.39
314.960 1052767.20
31.7500 1607029.78
86.614 7700281.37
248 6000
< Lc =
Fb= 0.6 fy
Fb= 148.8 mpa
Fb= 148.8 mpa
fbx= 148.8 mpa fby= 186 mpa
Mx My
sx Sx
168000000 9000000
3050073.21 105276.72
= 55.08064515 mpa = 85.4889853 mpa
fbx > Fbx fby < Fby
ok ok
fbx fby
Fbx Fby
55.08065 85.48898529
148.8 148.8
MAX Vu = 672 KN
L
ALL. Fy = 0.4Fy 360
V = 16.66666667 MM
DtW
Wl 4
98.39 < 99.2 ok 384EI
= 1.830944824 mm
16.6666667 > 1.830945
NOTE ok
therefore use
for compact section for non compact section
148.8
section is compact
strong axis weak axis
fby ==fbx
NOTE
= =
note
+ = 1
DEFLECTION
ALL. DEF=
< 0.4FY
ok
SHEAR DESIGN
+ = 0.944688
ACTUAL DEF.=
44
I= 6.22E+09 mm
P fb= M
L S
117000 Fb= 1.68E+08
970.28 145814.8
= 120.5837 = 1152.147
R= 1158.44 N/m
R= Fv(0.707tL)
t= 11.26136
Welded connections
fv=
=
I=
+ A
= +
45
Computation of beams(WT-section)
WT, ST, MT Shapes
Y
bf=284.48
y=53.086
tf=33.528
d=247.396 X
tw=18.542
Fx= 115 Kn
Mx 47.4 kn.m
my= 0 kn.m
Ix = mm^4
A = mm^2 Sx = mm^3
d = mm rx = mm
tw = mm Iy = mm^4
bf = mm Sy = mm^3
tf = mm ry = mm
k = mm y = mm
fy= mpa
248 L= mm
bf 170 d 1680
2Tf
fy
tw
fy
284.480 170 247.396 1680
67.056 15.748 18.542 15.75
4.24242 < 10.795 ok 13.34246575 < 106.7 ok
compact
Lc= 200Bf 137,900
fy
(d/af)fy
56896 USE 3612.899613 mm
15.748
137900
6.43258
WT9x71.5
303367.87
59104862.44
66.040
13548.36
247.396
Lc2= = 21437.8 mm
248
therefore section is
< &
Lc1= = 3612.9 mm
Fbx fby < Fby
ok ok
fbx fby
Fbx Fby
156.25 0
163.68 163.68
MAX Vu= 189.6 KN
L
ALL. Fy = 0.4Fy 360
V = 16.66666667 MM
DtW
Wl 4
41.332 < 99.2 ok 384EI
= 4.511050174 mm
16.66666667 > 4.5110502
NOTE ok
Fbx =
for compact section for non compact section
148.8
section is compact
therefore use
strong axis
=Fby
=
NOTEnote
ACTUAL DEF.=
SHEAR DESIGN
< 0.4FY
DEFLECTION
ALL. DEF=
+ = 0.9546 ok
+ = 1
weak axis
=