12 March 2014C.R. Laurence Co., Inc.2200 E. 55th STLos Angeles, CA 90058-0923

SUBJ: CRL UNIVERSAL WALL MOUNTED GLASS AWNING BRACKET GAB24, GAB36, GAB48

The CRL universal wall mounted glass awning bracket utilizes stainless steel fittings to construct wall mounted cantilevered glass awnings using 9/16” two ply laminated tempered glass. The system is intended for interior and exterior weather exposed applications and is suitable for use in all natural environments. The system may be used for residential, commercial and industrial applications. The Glass Awning Brackets are designed for the following criteria: The design loading conditions are: Concentrated load = 50 lbs any direction, any location Uniform load = 25 psf vertical, live, wind (ASD level loads) or snow loadHigher uniform loads may be allowed depending on glass strength and size as shown herein. Wind loads determined per ASCE/SEI 7-10 (2012 IBC) shall be adjusted to ASD level.

The glass awning is not intended to support significant concentrated live loads or personnel. It shall not be used to walk, stand or step on.

The Glass Awning Brackets will meet applicable requirements of the 2006, 2009 and 2012 International Building Codes, and 2010 and 2013 California Building Codes. Stainless steel components are designed in accordance with SEI/ASCE 8-02 Specification for the Design of Cold-Formed Stainless Steel Structural Members or AISC Design Guide 27 Structural Stainless Steel as applicable. Anchorages to wood are designed in accordance with the National Design Specification for Wood Construction.Calculations PageSignature Page 2Awning dimensions 3Wall Mounting Bracket 4 – 5Wall Mounting Bolts/Anchors 5 – 6Allowable Bracket Loads 7 – 9Glass Strength 10 - 11Allowable Uniform Loads 12 - 13RB50F Glass Fitting 14Attachments – Bracket details 3 pages

Edward Robison, P.E.

EDWARD C. ROBISON, PE elrobison@narrows.com10012 CREVISTON DR NW, GIG HARBOR, WA 98329

253-858-0855

Signature Page:

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CRL GLASS AWNING SUPPORT SYSTEMSupport hardware for flat panel awnings such as tempered laminated glass.

Dimensions a and c ≥ 2”.Dimension b is either 17”, 29” or 41”Dimension B is ≤ 24”, 36” or 48”Dimension d ≥ 2”Dimension e based on allowable bracket load and glass strength.

GAB24 Bracket

GAB36 Bracket

GAB48 Bracket

ab

c

d e d

L

B

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Wall Mount

All bracket sizes use the same wall mount. Bracket bar is welded to the wall plate which is bolted to the wall.

Fabricated from 304 stainless steel

Check strength of bar weld to wall plate:3/8” bevel weld with convex finish both sides. Weld filler is E316

The weld will provide full penetration weld and develop full bar strength.

Tension strength of weld:Pn = LtFua = 6”*0.5”*75ksi = 225k

Shear strength of weld at wall plate:Vn = (0.7-0.009L/t)tLFuaVn = (0.7-0.009*6/.75)(2*0.375”)*6”*75ksi = 211.95kor: Vn = 0.75twLFxx = 0.75*(0.707*.375*2)*6”*75ksi = 178.96k

Vs = 0.65*178.96k = 116.3k ≤ 0.55*211.95 = 116.57k

Allowable moment on the bracket based on weld strength:

Mn = 6”/2*116.3k = 348.9k”

Strength of bar at edge of weld:Z = 0.5”*6”2/4 = 4.5 in3

øMn = 0.9*4.5in3*30ksi = 121.5k” (bar yield strength controls load).

Maximum factored moment on the bar [1.2D+(1.6S or 1.6W)] or [1.2D+0.75(W+S)]or for uplift [0.9D+1.6W]Mu = 121.5k”

Design attachment to wall for the imposed moment:Loads resisted by couple formed between bolts and plate edge, rotation about edge of plate.

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Maximum bolt tension based on plate bending: Plate bending will occur along a diagonal line from top edge face of bar to edge of plate near other bolt.

bend length = 2.75”+2.75”*√2 = 6.64”Moment arm = 1.375”Z = 6.64”*0.52/4 = 0.415in3

øMnp = 0.9*45 ksi*0.415in3 = 16,807#”

Maximum bolt tension based on wall plate bending :M = T*1.375” = øMn = 16,807#”T =16,807#”/1.375 = 12,223#

Check maximum bolt tension based on bracket plate strength:Bolt tension from ∑M about edge of wall plate:M = 0 = 4.625”*T*2 + 1.375”*(1.375/4.625)*T*2 +MuT = 121,000#”/[2*4.625+1.375*1.375/4.625] = 12,527#

Check strength based on anchor alternatives:1/2” Bolts:At = 0.1419 in2

Fnt = 100,000 psi DIN 933-A2 or strongerøPn = øAtFnt = 0.75*0.1419in2*100,000psi = 10,642#Shear load will be carried by the bolts closest to the compression face of the couple which will be lightly loaded in tension so no reduction for shear load is required.

For bolting to steel frame the maximum moment based on the bolt tension:Ms = 10,642#*[2*4.625+1.375*1.375/4.625] = 102,793#”

For bolting to wood:For through bolts the maximum bolt tension can be the same as for steel provided proper bearing plates are used on the nut side (3” x 3” x 1/4” plates or equivalent round washer).

For 1/2” Lag screws into Douglas Fir or Southern Pine: W = 378#/in, Minimum embedment depth of 5” (Lag into 6x beam or solid block)W’ = W*Cd = 375#”*1.15 for snow loads or 375#”*1.6 for wind loads (ASD level)Ta5 = 5”*378#”*1.15 = 2,175#Malag = 2,175#*#*[2*4.625+1.375*1.375/4.625] = 21,008#”

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For bolting to concrete:Hilti Kwik Bolt TZ in accordance with ESR-1917.1/2” diameter with 4” minimum embedment

Minimum conditions used for the calculations:f’c ≥ 3,000 psiedge distance = 2.75” minimum2 bolt group (consider only anchors in full tension load)For concrete breakout strength:Ncbg = [ANc/ANco]ϕed,Nϕc,Nϕcp,NNb

ANcg= (2.75”+1.5*4”)*(1.5*4”*2+3.25) = 133.4in2 For anchor groupANco= 9*42 = 144in2

Cac,min = 1.5*4” = 6Cac = 2.5*4” = 10ϕed,N = 1.0 ϕc,N = 1.4 (post installed)ϕcp,N= 6/10 = 0.6 (ca,min ≤cac)Nb = 17*1.0*√3000*41.5 = 7,449#Ncb = 133.4/144*1.0*1.4*0.6*7,449 = 5,798#based on concrete breakout strength.Pullout strength = 2*5,760# = 11,520#Steel strength:Nts = 92,000psi*0.101in2 = 9,292# (each)

Concrete breakout strength in shear:Vcb = Avc/Avco(ϕed,Vϕc,Vϕh,VVb

Avc = 3(ca1)*4” = 3(2.75”)*4” = 33.0Avco= 4.5(ca1)2 = 4.5(2.75)2 = 34.0ϕed,V= 1.0 (affected by only one edge)ϕc,V= 1.4 uncracked concreteϕh,V= √(1.5ca1/ha) = √(1.5*2.75/4) =1.016Vb= [7(le/da)0.2√da]λ√f’c(ca1)1.5 = [7(2/0.5)0.2√0.5]1.0√3000(2.75)1.5 =1,631#Vcb = 33.0/34.0*1.0*1.4*1.016*1,631# = 2,252#

Factored moment:Msc = 0.75*11,520*4.625” = 39,960#”Service MomentMs = 39,960”#/1.6 = 24,975”#

Load Limit LBS Total Bracket Total LoadBracket Total Load Anchor Ma"# GAB24 GAB36 GAB48Steel 102793 17132 7614 4283Concrete 24975 4163 1850 1041Wood 21008 3501 1556 875

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For each size bracket determine maximum allowable loads on awning:

For GAB24:Glass width, B = 24”Bracket weight: Db = [0.5”*(6+2)/2]*24”*0.28#/ci +2*1.3# = 16#For 1/2” laminated glass (1/4”+.05”+1/4”) Dg = 2*2.9+0.5 = 6.3 psfL = glass length (ft)MDf = 16#*12”+(6.3psf*2’*L/2)*12” = 192#”+(75.6L)#”Snow load or Wind (ASD level) loadSb = (Spsf*2’*L/2) = S*L plfWb = (Wpsf*2’*L/2) = W*L plfMbS = S*L plf*12”MbW = W*L plf*12”

For service loads (Steel or concrete)Ms = 1.2*(192#”+(75.6L)#”) + 1.6(S*L#*12”) = 230.4#”+90.72L+19.2S*L or Ms = 1.2*(192#”+(75.6L)#”) + 1.6(W*L#*12”) = 230.4#”+90.72L+19.2W*L orMs = 1.2*(192#”+(75.6L)#”) + 0.75[(S+W)*L#*12”] = 230.4#”+90.72L+9(S+W)*L orMs = 0.9*(192#”+(75.6L)#”) + 1.6(W*L#*12”) = 172.8#”+68.0L+19.2W*L for uplift

Based on glass strength the maximum bracket spacing, e = 8’-0” for 1/2” glass and 25 psf wind (ASD level) or snow load. The maximum cantilever length, d = 4’-0”

Check brackets based on the maximum allowable length of 16’ (4’+8’+4’) with 25 psf load. Ms = 230.4 + 90.72*16’ + 19.2*25psf*16’ = 9,362#” orMs = 230.4#”+90.72*16+9(25+25)*16 = 8,882#”Ms = 172.8#”+68.0*16 - 19.2*25*16 = -6,419#” for uplift

For allowable loads (wood)Ma = (192#”+(75.6L)#”) + (S*L#*12”) = 192#”+75.6L+12S*L or Ma = (192#”+(75.6L)#”) + (W*L#*12”) = 192#”+75.6L+12W*L orMa = (192#”+(75.6L)#”) + 0.75[(S+W)*L#*12”] = 192#”+75.6L+9(S+W)*L orMa = 0.6(192#”+(75.6L)#”) + (W*L#*12”) = 115.2#”+45.36L+12W*L for uplift

Check brackets based on the maximum allowable length of 16’ (4’+8’+4’) with 25 psf load. Ma = 192#”+75.6*16+12*25*16 = 6,202#” or Ma = 192#”+75.6*25+9(25+25)*16 = 6,882#” orMa = 115.2#”+ 45.36*16 - 12*25*16 = -3,959#” for uplift

Attachments to wood, concrete or steel are adequate for the maximum canopy size and 25 psf wind (ASD level) or snow loads.

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For GAB36:Glass width, B = 36”Bracket weight: Db = [0.5”*{(6+2)/2*24”+12*6}]*0.28#/ci +2*1.3# = 26.1#For 1/2” laminated glass (1/4”+.05”+1/4”) Dg = 2*2.9+0.5 = 6.3 psfL = glass length (ft)MDf = 26.1#*18”+(6.3psf*3’*L/2)*18” = 469.8#”+(170.1L)#”Snow load or Wind (ASD level) loadSb = (Spsf*3’*L/2) = 1.5S*L plfWb = (Wpsf*3’*L/2) = 1.5W*L plfMbS = 1.5S*L plf*18” = 27SLMbW = 1.5W*L plf*18” = 27SL

For service loads (Steel or concrete)Ms = 1.2*(469.8#”+(170.1L)#”) + 1.6(S*L#*27) = 563.76#”+204.12L+43.2SL or Ms = 1.2*(469.8#”+(170.1L)#”) + 1.6(W*L#*27) = 563.76#”+204.12L+43.2WL orMs = 1.2*(469.8#”+(170.1L)#”)+0.75[(S+W)L#*27]=563.76#”+204.12L+20.25(S+W)L Ms = 0.9*(469.8#”+(170.1L)#”) + 1.6(W*L#*27) = 422.82#”+153.09L+43.2W*L uplift

Based on glass strength the maximum bracket spacing, e = 8’-0” for 1/2” glass and 25 psf wind (ASD level) or snow load. The maximum cantilever length, d = 4’-0”

Check brackets based on the maximum allowable length of 16’ (4’+8’+4’) with 25 psf load. Ms = 563.76#”+204.12*16+43.2*25*16 = 21,110#”Ms = 563.76#”+204.12*16+20.25(25+25)*16 = 20,030#” Ms = 422.82#”+153.09*16 -43.2*25*16 = -14,408#” uplift

For allowable loads (wood)Ma = (469.8#”+(170.1L)#”) + (S*L#*27”) = 469.8#”+170.1L+27S*L or Ma = (469.8#”+(170.1L)#”) + (W*L#*27”) = 469.8#”+170.1L+27W*L orMa = (469.8#”+(170.1L)#”) + 0.75[(S+W)*L#*27] = 469.8#”+170.1L+20.25(S+W)*L orMa = 0.6(469.8#”+(170.1L)#”) + (W*L#*27) = 281.88#”+102.06L+27W*L for uplift

Check brackets based on the maximum allowable length of 16’ (4’+8’+4’) with 25 psf load. Ma = 469.8#”+170.1*16+27*25*16 = 13,991#” orMa = 469.8#”+170.1*16+20.25(25+25)*16 = 19,391#”Ma = 281.88#”+102.06*16 -27*25*16 = -8,885#”

Attachments to wood, concrete or steel are adequate for the maximum canopy size and 25 psf wind (ASD level) or snow loads.

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For GAB48:Glass width, B = 48”Bracket weight: Db = [0.5”*{(6+2)/2*24”+24*6}]*0.28#/ci +2*1.3# = 36.2#For 1/2” laminated glass (1/4”+.05”+1/4”) Dg = 2*2.9+0.5 = 6.3 psfL = glass length (ft)MDf = 36.2#*20”+(6.3psf*4’*L/2)*24” = 724#”+(302.4L)#”Snow load or Wind (ASD level) loadSb = (Spsf*4’*L/2) = 2S*L plfWb = (Wpsf*4’*L/2) = 2W*L plfMbS = 2S*L plf*24” = 48SLMbW = 2W*L plf*24” = 48SL

For service loads (Steel or concrete)Ms = 1.2*(724#”+(302.4L)#”) + 1.6(S*L#*48) = 868.8#”+362.88L+76.8SL or Ms = 1.2*(724#”+(302.4L)#”) + 1.6(W*L#*48) = 868.8#”+362.88L+76.8WL orMs = 1.2*(724#”+(302.4L)#”) +0.75[(S+W)L#*48]=868.8#”+362.88L+36(S+W)L Ms = 0.9*(724#”+(302.4L)#”) + 1.6(W*L#*48) = 651.6#”+272.16L+76.8W*L uplift

Based on glass strength the maximum bracket spacing, e = 8’-0” for 1/2” glass and 25 psf wind (ASD level) or snow load. The maximum cantilever length, d = 4’-0”

Check brackets based on the maximum allowable length of 16’ (4’+8’+4’) with 25 psf load. Ms = 868.8#”+362.88*16+76.8*25*16 = 37,395#” orMs = 868.8#”+362.88*16+36(25+25)*16 = 35,475#” Ms = 651.6#”+272.16*16 - 76.8*25*16 = -25,714#” uplift

For allowable loads (wood)Ma = (724#”+(302.4L)#”) + (S*L#*48”) = 724#”+302.4L+48S*L or Ma = (724#”+(302.4L)#”) + (W*L#*48”) = 724#”+302.4L+48W*L orMa = (724#”+(302.4L)#”) + 0.75[(S+W)*L#*48] = 724#”+302.4L+36(S+W)*L orMa = 0.6(724#”+(302.4L)#”) + (W*L#*48) = 434.4#”+181.44L+48W*L for uplift

Check brackets based on the maximum allowable length of 16’ (4’+8’+4’) with 25 psf load. Ma = 724#”+302.4*16+48*25*16 = 24,762#” orMa = 724#”+302.4*16+36 (25+25)*16 = 34,362#” > 21,008#”Ma = 434.4#”+181.44*16 -48*25*16 = -15,863#”

Lwood ≤ 21,008/34,362*16 = 9.78’ = 9’-9”For attachment to wood maximum length L = 9’-9”

Attachments to concrete and steel are adequate for the maximum canopy size and 25 psf wind (ASD level) or snow loads.

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GLASS STRENGTHGlass is fully tempered 2 layer laminated safety glass conforming to the specifications of

ANSI Z97.1, ASTM C 1048-97b and CPSC 16 CFR 1201. The minimum Modulus of Rupture for the glass Fr is 24,000 psi. Glass not used in guardrails may be designed for a safety factor of 2.5 in accordance with ASTM E1300-00.

Adjustment for laminated glass (both layers equal) = 1.7 single layer strengthAllowable glass bending stress: 24,000/2.5 = 9,600 psi. – Tension stressAllowable bearing stress = 24,000 psi/2.5 = 9,600 psi.

Determine effective thickness of the laminated glass for stresses and deflections based on ASTM E1300-09a appendix X11.h1 = h2 = 0.219” hv = 0.06”a = 48”hs = 0.5(h1+h2)+hv = 0.5(0.219*2)+0.06 = 0.279”hs;1 = hs;2 = (hsh1)/(h1+h2) = (0.279*0.219)/(2*0.219) = 0.1395Is = h1h2s;2+ h2h2s;1= 2*(0.219*0.279”2)= 0.034Γ = 1/[1+9.6(EIshv)/(Gh2sa2)] For heat and size use interlayer shear modulus of 80 psi (T ≤ 120 F˚)Γ = 1/[1+9.6(10,400,000*0.034*0.06)/(80*0.2792*482)] = 0.0658

effective thickness for deflection:hef;w = (h13+ h32+ 12ΓIs)1/3 = (0.2193+ 0.2193+ 12∗0.0658∗0.034)1/3 = 0.363 ≤ 0.498

effective thickness for glass stress:h1;ef;σ = [hef;w3/(h+2Γ hs;1)]1/2 = [0.3633/(0.219+2∗0.0658∗0.1395)]1/2 = 0.449 ≤ 0.498

Ie = hef;w3 = 0.3633 = 0.0478 in4/ft

Se = 2 h1;ef;σ 2 = 2*0.4492 = 0.403 in3/ft

Bending strength of glass for the given thickness: S = 12”* (t)2 = 2* (t)2 in3/ft 6

Allowable bending moment on glass is: Mas = 9,600 psi*0.403 in3/ft = 3,868.8”#/ft short duration loads Malt = 0.43*9,600 psi*0.403 in3/ft = 1,664”#/ft = 138.6’#/ft 1 month loads Maper = 0.31*9,600 psi*0.403 in3/ft = 1,199”#/ft = 99.9’#/ft permanent loads Maximum bending moment will occur at center edge of the glass light:Mec = Ce*w*e2

Ce is from graph based on b/e where b is always the smaller dimension.When b/e < 0.33 Ce may be taken as 0.125For concentrated loadsMl = 2CePe for concentrated load P at the light center edge

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Mc = U*d2/2 at support axis Mc = P*dDead load equivalent load = 0.3978/0.169*6.3 = 14.8For a design load of W = 25 psf (live or wind (ASD level)) or P = 50 lb loadU = 25+14.8 = 39.8psfBased on assumed b/e ≤ 0.33 e = [(3,868.8”#/12)*8/39.8psf]1/2 = 8’ = 96” e = 3,868.8”#*4/50 = 305.5” = 25.46’ concentrated loads won’t control d = [(3,868.8”#/12)*2/39.8psf]1/2 = 4’ = 48” Cantilevered length d = 3,868.8”#/50 = 76” concentrated loads won’t control

The allowable uniform load may be calculated using: Us = [(322.4/Ce)/e2] or Us = [(322.4/(4Ce))/d2]

or for long term loads:

Ult = [(138.6/Ce)/e2] or Ult = [(138.6/(4Ce))/d2]

or for permanent loads:

Uper = [(99.9/Ce)/e2] or Uper = [(99.9/(4Ce))/d2]

For multiple types of load:Us/Mas + Ult/Malt + Uper/Maper ≤ 1.0

NOTE:Visual sagging of the glass will occur at the design loads.For longer glass spans sagging from dead loads may be visible.

Glass deflections assuming minimal end overhangs-For dead loads, L in inches∆ = (1-ν2)*5*7psf/12*L4 = (1-0.222)*5*7psf/12*L4 = 1.453*10-8*L4

384 Et3 384*10,400,000*0.3633

For 72” bracket spacing:∆ = 1.453*10-8*724 = 0.39”

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Allowable Uniform Load (U) in psf on 9/16” tempered laminated glass based on glass strength:

For laminated annealed glass divide allowable uniform loads by 4.

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Allowable uniform load (U) in psf with awning length in feet based on bracket strength:

GAB24 Bracket – 24” glass widthUniform Load Support Awning length Steel Concrete Wood

4 2141.5 520.4 437.66 1427.7 346.9 291.88 1070.8 260.2 218.810 856.6 208.2 175.112 713.8 173.5 145.916 535.4 130.1 109.4

GAB36 Bracket – 36” glass widthUniform Load Support Awning length Steel Concrete Wood

4 951.8 231.3 130.16 634.5 154.2 86.88 475.9 115.6 65.110 380.7 92.5 52.112 317.3 77.1 43.416 237.9 57.8 32.5

GAB48 Bracket – 48” glass widthUniform Load Support Awning length Steel Concrete Wood

4 535.4 130.1 109.46 356.9 86.8 72.98 267.7 65.1 54.710 214.2 52.1 43.812 178.5 43.4 36.516 133.8 32.5 27.3

Total loads are based on controlling load combination (use D = 14.8 psf):D+S or Sallowable = U-14.8D+W or Wallowable = U-14.8D+0.75(S+W) or Sallowable+Wallowable = 1.333U-19.30.6D+W (wind uplift case (ASD level)) Wallowable = U- 8.9The allowable load shall be the lesser of the allowable load on the bracket for the support type and the allowable load for the glass (graphs on page 10).

Wind (ASD level) loading shall be determined in accordance with ASCE/SEI 7-05 Chapter 6 for roof overhangs or as required by the applicable building code.

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RB50F fittings are connected together with 1/4” stainless steel threaded rods.

Vs = 0.65*40.5 ksi*0.049 in2/1.6 = 806#Ts = 0.75*67.5ksi*0.0318 in2/1.6 = 1,006#

Torsion strength of swivel when clamped: = 0.65*1,006#*13/16 = 531”#

Moment strength of swivel:Bending in rod to fixed fitting:rod diameter = 3/8”, A = 0.11 in2

Z = 0.3753/6 = 0.0088 in3

Fb = 65 ksi (longitudinal compression)Mn = 65 ksi*0.0088 in3 = 572#”

Service loads on swivel:Allowable load will be controlled by the bending strength of the connection rod:Ms = 0.9Mn/1.6 = (0.9*572#”/1.6) = 322#”

For lateral loading, M = V*2.25”V = 322#”/2.25 = 143# per swivel

For normal loads, M = H*0.75”H = 322#”/0.75” = 429#

Check strength of fixed bracket to support ( 1/4” threaded rod)Ms = R*Ts = 13/16”*1,006# = 1,584#”

For lateral loading, M = V*2.25”V = 1,584#”/2.25 = 704# per swivel (limited to 143# from connector rod strength)

For normal loads, M = H*2.5”H = 1,584#”/2.5” = 633.6# (limited to 429# by connector rod strength.

Maximum vertical load per fitting = 429#For 4’*16’ awning maximum load:U = 429#/(4’*16’/4brackets) = 26.8psfSnow or wind (ASD level) load limited to 20 psf for maximum awning size or add fittings.Maximum size for 25 psf imposed load and 6.3 psf dead load with 4 fittings:A = 429#/(25+6.3)*4 = 454.8 sf

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