BOLT BEARING AT BEAM AND SHEAR PLATE SIDE
Vertical Shear Only Load Case:
ICR cordinate relative to CG = (1.14, -0.00)
At Row 1, At Column 1:
Ribolt = 15.94 kips
Ri vector at Beam = <9.36, 12.90>
Lcsbm at Beam spacing = 2.94 in.
Lcebm at Beam edge = 3.24 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.94 * (0.20/1) * 65.00 = 22.92 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 3.24 * (0.20/1) * 65.00 = 25.25 kips/bolt
(1/omega)Rndbm on Beam at Bolt Diameter = (1/omega) * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.88 * (0.20/1) * 65.00 = 13.65 kips/bolt
Beam bearing capacity, (1/omega)Rnbm = min((1/omega)Rnsbm,(1/omega)Rnebm,(1/omega)Rndbm) = min(22.92, 25.25, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <-9.36, -12.90>
Lcsshpl at Shear Plate spacing = 2.87 in.
Lceshpl at Shear Plate edge = 8.38 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.87 * 0.75 * 65.00 = 84.03 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 8.38 * 0.75 * 65.00 = 245.05 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.75 * 65.00 = 51.19 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(84.03, 245.05, 51.19) = 51.19 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 51.188) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 15.94 = 0.86
At Row 1, At Column 2:
Ribolt = 15.15 kips
Ri vector at Beam = <14.17, 5.36>
Lcsbm at Beam spacing = 2.94 in.
Lcebm at Beam edge = 8.01 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.94 * (0.20/1) * 65.00 = 22.92 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 8.01 * (0.20/1) * 65.00 = 62.46 kips/bolt
(1/omega)Rndbm on Beam at Bolt Diameter = (1/omega) * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.88 * (0.20/1) * 65.00 = 13.65 kips/bolt
Beam bearing capacity, (1/omega)Rnbm = min((1/omega)Rnsbm,(1/omega)Rnebm,(1/omega)Rndbm) = min(22.92, 62.46, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <-14.17, -5.36>
Lcsshpl at Shear Plate spacing = 2.87 in.
Lceshpl at Shear Plate edge = 13.03 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.87 * 0.75 * 65.00 = 84.03 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 13.03 * 0.75 * 65.00 = 381.15 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.75 * 65.00 = 51.19 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(84.03, 381.15, 51.19) = 51.19 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 51.188) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 15.15 = 0.90
At Row 1, At Column 3:
Ribolt = 15.37 kips
Ri vector at Beam = <13.05, -8.11>
Lcsbm at Beam spacing = 2.94 in.
Lcebm at Beam edge = 16.39 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.94 * (0.20/1) * 65.00 = 22.92 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 16.39 * (0.20/1) * 65.00 = 127.84 kips/bolt
(1/omega)Rndbm on Beam at Bolt Diameter = (1/omega) * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.88 * (0.20/1) * 65.00 = 13.65 kips/bolt
Beam bearing capacity, (1/omega)Rnbm = min((1/omega)Rnsbm,(1/omega)Rnebm,(1/omega)Rndbm) = min(22.92, 127.84, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <-13.05, 8.11>
Lcsshpl at Shear Plate spacing = 2.87 in.
Lceshpl at Shear Plate edge = 1.71 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.87 * 0.75 * 65.00 = 84.03 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 1.71 * 0.75 * 65.00 = 49.89 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.75 * 65.00 = 51.19 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(84.03, 49.89, 51.19) = 49.89 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 49.886) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 15.37 = 0.89
At Row 2, At Column 1:
Ribolt = 15.66 kips
Ri vector at Beam = <0.00, 15.66>
Lcsbm at Beam spacing = 2.06 in.
Lcebm at Beam edge = 5.53 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.06 * (0.20/1) * 65.00 = 16.09 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 5.53 * (0.20/1) * 65.00 = 43.14 kips/bolt
(1/omega)Rndbm on Beam at Bolt Diameter = (1/omega) * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.88 * (0.20/1) * 65.00 = 13.65 kips/bolt
Beam bearing capacity, (1/omega)Rnbm = min((1/omega)Rnsbm,(1/omega)Rnebm,(1/omega)Rndbm) = min(16.09, 43.14, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <-0.00, -15.66>
Lcsshpl at Shear Plate spacing = 2.06 in.
Lceshpl at Shear Plate edge = 3.78 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.06 * 0.75 * 65.00 = 60.33 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 3.78 * 0.75 * 65.00 = 110.60 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.75 * 65.00 = 51.19 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(60.33, 110.60, 51.19) = 51.19 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 51.188) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 15.66 = 0.87
At Row 2, At Column 2:
Ribolt = 11.45 kips
Ri vector at Beam = <0.00, 11.45>
Lcsbm at Beam spacing = 2.06 in.
Lcebm at Beam edge = 5.53 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.06 * (0.20/1) * 65.00 = 16.09 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 5.53 * (0.20/1) * 65.00 = 43.14 kips/bolt
(1/omega)Rndbm on Beam at Bolt Diameter = (1/omega) * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.88 * (0.20/1) * 65.00 = 13.65 kips/bolt
Beam bearing capacity, (1/omega)Rnbm = min((1/omega)Rnsbm,(1/omega)Rnebm,(1/omega)Rndbm) = min(16.09, 43.14, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <-0.00, -11.45>
Lcsshpl at Shear Plate spacing = 2.06 in.
Lceshpl at Shear Plate edge = 3.78 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.06 * 0.75 * 65.00 = 60.33 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 3.78 * 0.75 * 65.00 = 110.60 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.75 * 65.00 = 51.19 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(60.33, 110.60, 51.19) = 51.19 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 51.188) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 11.45 = 1.19
At Row 2, At Column 3:
Ribolt = 13.46 kips
Ri vector at Beam = <0.00, -13.46>
Lcsbm at Beam spacing = 2.06 in.
Lcebm at Beam edge = 5.43 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.06 * (0.20/1) * 65.00 = 16.09 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 5.43 * (0.20/1) * 65.00 = 42.36 kips/bolt
(1/omega)Rndbm on Beam at Bolt Diameter = (1/omega) * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.88 * (0.20/1) * 65.00 = 13.65 kips/bolt
Beam bearing capacity, (1/omega)Rnbm = min((1/omega)Rnsbm,(1/omega)Rnebm,(1/omega)Rndbm) = min(16.09, 42.36, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <-0.00, 13.46>
Lcsshpl at Shear Plate spacing = 2.06 in.
Lceshpl at Shear Plate edge = 3.78 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.06 * 0.75 * 65.00 = 60.33 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 3.78 * 0.75 * 65.00 = 110.60 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.75 * 65.00 = 51.19 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(60.33, 110.60, 51.19) = 51.19 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 51.188) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 13.46 = 1.01
At Row 3, At Column 1:
Ribolt = 15.94 kips
Ri vector at Beam = <-9.36, 12.90>
Lcsbm at Beam spacing = 2.94 in.
Lcebm at Beam edge = 2.51 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.94 * (0.20/1) * 65.00 = 22.92 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.51 * (0.20/1) * 65.00 = 19.59 kips/bolt
(1/omega)Rndbm on Beam at Bolt Diameter = (1/omega) * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.88 * (0.20/1) * 65.00 = 13.65 kips/bolt
Beam bearing capacity, (1/omega)Rnbm = min((1/omega)Rnsbm,(1/omega)Rnebm,(1/omega)Rndbm) = min(22.92, 19.59, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <9.36, -12.90>
Lcsshpl at Shear Plate spacing = 2.87 in.
Lceshpl at Shear Plate edge = 0.97 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.87 * 0.75 * 65.00 = 84.03 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 0.97 * 0.75 * 65.00 = 28.23 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.75 * 65.00 = 51.19 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(84.03, 28.23, 51.19) = 28.23 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 28.232) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 15.94 = 0.86
At Row 3, At Column 2:
Ribolt = 15.15 kips
Ri vector at Beam = <-14.17, 5.36>
Lcsbm at Beam spacing = 2.94 in.
Lcebm at Beam edge = 4.61 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.94 * (0.20/1) * 65.00 = 22.92 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 4.61 * (0.20/1) * 65.00 = 35.96 kips/bolt
(1/omega)Rndbm on Beam at Bolt Diameter = (1/omega) * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.88 * (0.20/1) * 65.00 = 13.65 kips/bolt
Beam bearing capacity, (1/omega)Rnbm = min((1/omega)Rnsbm,(1/omega)Rnebm,(1/omega)Rndbm) = min(22.92, 35.96, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <14.17, -5.36>
Lcsshpl at Shear Plate spacing = 2.87 in.
Lceshpl at Shear Plate edge = 2.93 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.87 * 0.75 * 65.00 = 84.03 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 2.93 * 0.75 * 65.00 = 85.72 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.75 * 65.00 = 51.19 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(84.03, 85.72, 51.19) = 51.19 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 51.188) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 15.15 = 0.90
At Row 3, At Column 3:
Ribolt = 15.37 kips
Ri vector at Beam = <-13.05, -8.11>
Lcsbm at Beam spacing = 2.94 in.
Lcebm at Beam edge = 5.02 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.94 * (0.20/1) * 65.00 = 22.92 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 5.02 * (0.20/1) * 65.00 = 39.19 kips/bolt
(1/omega)Rndbm on Beam at Bolt Diameter = (1/omega) * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.88 * (0.20/1) * 65.00 = 13.65 kips/bolt
Beam bearing capacity, (1/omega)Rnbm = min((1/omega)Rnsbm,(1/omega)Rnebm,(1/omega)Rndbm) = min(22.92, 39.19, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <13.05, 8.11>
Lcsshpl at Shear Plate spacing = 2.87 in.
Lceshpl at Shear Plate edge = 1.40 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.87 * 0.75 * 65.00 = 84.03 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 1.40 * 0.75 * 65.00 = 40.90 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.75 * 65.00 = 51.19 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(84.03, 40.90, 51.19) = 40.90 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 40.898) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 15.37 = 0.89
Min Bolt Shear Demand to Bearing ratio Beam and Shear Plate for vertical shear only
= min(1.00, 0.86, 0.90, 0.89, 0.87, 1.19, 1.01, 0.86, 0.90, 0.89) = 0.86
BEARING AT BEAM AND SHEAR PLATE SIDE SUMMARY:
Bearing Capacity at Vertical Shear Load Only, Rbv = Min Bolt Shear Demand to Bearing Ratio * Bolt Shear = 0.86 * 33.95 = 29.08 kips
Rbv = 29.08 kips >= V = 25.00 kips (OK) |