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• <br /> GRAVITEC <br /> SYSTEMS INC' <br /> Bending(Fin)-Strong Direction <br /> Fy = 36 ksi Yield Strength <br /> w = 3.0 In Fin Width <br /> t = 0.625 in Fin Thickness <br /> I = 2.25 In Moment Arm <br /> S = 0.938 ins = tw2/6 Section Modulus <br /> Z = 1.41 ins = tw2/4 Plastic Section Modulus <br /> 1.41 < 1.50 = Z<1.65 <br /> E = 29000 ksi Modulus of Elasticity <br /> Lb = 2.25 in = <br /> 17.28 < 64.4 Lbw/t2<0.08E/Fy Laterial Torsional Buckling does not apply <br /> Mm,w: = 4.38 k-In = PbyI Maximum Moment(z-z) <br /> M,/C! = 25.31 k-in = FyZ/C2 Allowable Moment <br /> MID > Mom 17%Capacity <br /> Bending(Fin)-Weak Direction <br /> Z = 0.29 ins = wt2/4 Plastic Section Modulus <br /> Mm,xy = 1.53 k-in = Pb=I Maximum Moment(y-y) <br /> M,/C1 = 5.27 k-In = FyZ/C) Allowable Moment <br /> Mfa > Mm„ 29%Capacity <br /> Block Shear <br /> F„ = 58 ksi Tensile Strength <br /> h = 0.5625 in Hole Diameter <br /> e = 0.75 In Edge Distance(Center of hole to edge of fin) <br /> As, = 0.469 in2 = to Gross ShearArea <br /> A„w = 0.293 In2 = t(e-h/2) Net Shear Area <br /> AM = 1.70 in2 = t(w-h/2) Net Tensile Area <br /> Ups = 1.0 Constant,See MSC 16.1-138 <br /> R„/CZ = 54.4 k = (0.6FUAm,+Uj„A,t)/C2 Allowable strength(controlling) <br /> Rijn = 54.3 k = (0.6F,A„+UbsF„A„t)/C) Allowable strength(upper limit) <br /> R„ O > Pb 8%Capacity <br /> Weld <br /> Mm,;. = 4.38 k-in = Pbyl Max Moment(z-z) <br /> Mm,xy = 1.53 k-in = Pb=I Max Moment(y-y) <br /> V2 = 0.68 k = Pb2 Shear Force(z-z) <br /> Vy = 1.95 k = Pby Shear Force(y-y) <br /> P = 3.75 k = Pbx Tension Force <br /> D = 5 Sixteenths-off-an-inch in fillet weld size <br /> d = 3 in = w Fin Width <br /> b = 0.625 in = t Fin Thickness(Distance between welds) <br /> L w = 7.3 in = 2 b+2d Weld Design Length <br /> Sw, = 4.88 in2 = bd+d2/3 Section Modulus <br /> fwr = 0.09 k/In = VJLN, Shear Force per inch <br /> ivy = 0.27 k/in = V/!M, Shear Force per inch <br /> fw„ = 0.52 k/in = P/L,w Tension Force per inch <br /> fm = 1.21 k/in = (Mm,w=�Mm,xyi/Sw Tension per inch(from applied moments) <br /> Ftoai = 1.35 k/in = fws2+fwy2+(fa12+fm2)►'/2 Design Stress per inch <br /> R„/C) = 4.64 k/in = 0.928D Allowable Stress per inch <br /> R„/A > Ftot,i 29%Capacity <br /> B3. Intermediate Anchor(Al-Case 3-Fall at Inter.) <br /> *Assume 2 people fail simultaneously at intermediate anchor(Controlling) <br /> 21291 Urdahl Road NW•Poulsbo,WA 98370•206.780.2898•www.gravitec.com 6/16/2023 <br />