BOLT BEARING AT BEAM SIDE:
Vertical Shear Only Load Case:
ICR cordinate relative to CG = (1.09, -0.00)
At Row 1, At Column 1:
Ri1 = 20.81 kips
Ri vector at Beam = <12.32, 16.78>
Lcsbm at Beam spacing = 2.76 in.
Lcebm at Beam edge = 3.23 in.
1/omegaRnsbm at Beam spacing = 1/omega * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.76 * (0.20/1) * 65.00 = 21.55 kips/bolt
1/omegaRnebm at Beam edge = 1/omega * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 3.23 * (0.20/1) * 65.00 = 25.22 kips/bolt
1/omegaRndbm on Beam at Bolt Diameter = 1/omega * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 1.00 * (0.20/1) * 65.00 = 15.60 kips/bolt
Beam bearing capacity, 1/omegaRnbm = min(1/omegaRnsbm,1/omegaRnebm,1/omegaRndbm) = min(21.55, 25.22, 15.60) = 15.60 kips/bolt
Ri vector at Shear Plate = <-12.32, -16.78>
Lcsshpl at Shear Plate spacing = 2.67 in.
Lceshpl at Shear Plate edge = 8.65 in.
1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.67 * 1.00 * 58.00 = 93.08 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 8.65 * 1.00 * 58.00 = 300.89 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 1.00 * 1.00 * 58.00 = 69.60 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(93.08, 300.89, 69.60) = 69.60 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(15.600, 69.600) = 15.60 kips/bolt
Bolt Shear Demand to Bearing ratio = 15.60 / 20.81 = 0.75
At Row 1, At Column 2:
Ri1 = 19.80 kips
Ri vector at Beam = <18.62, 6.73>
Lcsbm at Beam spacing = 2.76 in.
Lcebm at Beam edge = 8.81 in.
1/omegaRnsbm at Beam spacing = 1/omega * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.76 * (0.20/1) * 65.00 = 21.55 kips/bolt
1/omegaRnebm at Beam edge = 1/omega * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 8.81 * (0.20/1) * 65.00 = 68.73 kips/bolt
1/omegaRndbm on Beam at Bolt Diameter = 1/omega * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 1.00 * (0.20/1) * 65.00 = 15.60 kips/bolt
Beam bearing capacity, 1/omegaRnbm = min(1/omegaRnsbm,1/omegaRnebm,1/omegaRndbm) = min(21.55, 68.73, 15.60) = 15.60 kips/bolt
Ri vector at Shear Plate = <-18.62, -6.73>
Lcsshpl at Shear Plate spacing = 2.67 in.
Lceshpl at Shear Plate edge = 13.39 in.
1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.67 * 1.00 * 58.00 = 93.08 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 13.39 * 1.00 * 58.00 = 466.05 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 1.00 * 1.00 * 58.00 = 69.60 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(93.08, 466.05, 69.60) = 69.60 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(15.600, 69.600) = 15.60 kips/bolt
Bolt Shear Demand to Bearing ratio = 15.60 / 19.80 = 0.79
At Row 1, At Column 3:
Ri1 = 20.11 kips
Ri vector at Beam = <16.95, -10.82>
Lcsbm at Beam spacing = 2.76 in.
Lcebm at Beam edge = 15.47 in.
1/omegaRnsbm at Beam spacing = 1/omega * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.76 * (0.20/1) * 65.00 = 21.55 kips/bolt
1/omegaRnebm at Beam edge = 1/omega * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 15.47 * (0.20/1) * 65.00 = 120.65 kips/bolt
1/omegaRndbm on Beam at Bolt Diameter = 1/omega * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 1.00 * (0.20/1) * 65.00 = 15.60 kips/bolt
Beam bearing capacity, 1/omegaRnbm = min(1/omegaRnsbm,1/omegaRnebm,1/omegaRndbm) = min(21.55, 120.65, 15.60) = 15.60 kips/bolt
Ri vector at Shear Plate = <-16.95, 10.82>
Lcsshpl at Shear Plate spacing = 2.67 in.
Lceshpl at Shear Plate edge = 2.01 in.
1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.67 * 1.00 * 58.00 = 93.08 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 2.01 * 1.00 * 58.00 = 69.93 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 1.00 * 1.00 * 58.00 = 69.60 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(93.08, 69.93, 69.60) = 69.60 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(15.600, 69.600) = 15.60 kips/bolt
Bolt Shear Demand to Bearing ratio = 15.60 / 20.11 = 0.78
At Row 2, At Column 1:
Ri1 = 20.44 kips
Ri vector at Beam = <0.00, 20.44>
Lcsbm at Beam spacing = 1.94 in.
Lcebm at Beam edge = 5.47 in.
1/omegaRnsbm at Beam spacing = 1/omega * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 1.94 * (0.20/1) * 65.00 = 15.11 kips/bolt
1/omegaRnebm at Beam edge = 1/omega * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 5.47 * (0.20/1) * 65.00 = 42.66 kips/bolt
1/omegaRndbm on Beam at Bolt Diameter = 1/omega * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 1.00 * (0.20/1) * 65.00 = 15.60 kips/bolt
Beam bearing capacity, 1/omegaRnbm = min(1/omegaRnsbm,1/omegaRnebm,1/omegaRndbm) = min(15.11, 42.66, 15.60) = 15.11 kips/bolt
Ri vector at Shear Plate = <-0.00, -20.44>
Lcsshpl at Shear Plate spacing = 1.94 in.
Lceshpl at Shear Plate edge = 3.97 in.
1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 1.94 * 1.00 * 58.00 = 67.42 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 3.97 * 1.00 * 58.00 = 138.11 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 1.00 * 1.00 * 58.00 = 69.60 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(67.42, 138.11, 69.60) = 67.42 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(15.112, 67.425) = 15.11 kips/bolt
Bolt Shear Demand to Bearing ratio = 15.11 / 20.44 = 0.74
At Row 2, At Column 2:
Ri1 = 14.75 kips
Ri vector at Beam = <0.00, 14.75>
Lcsbm at Beam spacing = 1.94 in.
Lcebm at Beam edge = 5.51 in.
1/omegaRnsbm at Beam spacing = 1/omega * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 1.94 * (0.20/1) * 65.00 = 15.11 kips/bolt
1/omegaRnebm at Beam edge = 1/omega * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 5.51 * (0.20/1) * 65.00 = 43.01 kips/bolt
1/omegaRndbm on Beam at Bolt Diameter = 1/omega * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 1.00 * (0.20/1) * 65.00 = 15.60 kips/bolt
Beam bearing capacity, 1/omegaRnbm = min(1/omegaRnsbm,1/omegaRnebm,1/omegaRndbm) = min(15.11, 43.01, 15.60) = 15.11 kips/bolt
Ri vector at Shear Plate = <-0.00, -14.75>
Lcsshpl at Shear Plate spacing = 1.94 in.
Lceshpl at Shear Plate edge = 3.97 in.
1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 1.94 * 1.00 * 58.00 = 67.42 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 3.97 * 1.00 * 58.00 = 138.11 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 1.00 * 1.00 * 58.00 = 69.60 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(67.42, 138.11, 69.60) = 67.42 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(15.112, 67.425) = 15.11 kips/bolt
Bolt Shear Demand to Bearing ratio = 15.11 / 14.75 = 1.02
At Row 2, At Column 3:
Ri1 = 17.74 kips
Ri vector at Beam = <0.00, -17.74>
Lcsbm at Beam spacing = 1.94 in.
Lcebm at Beam edge = 5.28 in.
1/omegaRnsbm at Beam spacing = 1/omega * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 1.94 * (0.20/1) * 65.00 = 15.11 kips/bolt
1/omegaRnebm at Beam edge = 1/omega * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 5.28 * (0.20/1) * 65.00 = 41.18 kips/bolt
1/omegaRndbm on Beam at Bolt Diameter = 1/omega * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 1.00 * (0.20/1) * 65.00 = 15.60 kips/bolt
Beam bearing capacity, 1/omegaRnbm = min(1/omegaRnsbm,1/omegaRnebm,1/omegaRndbm) = min(15.11, 41.18, 15.60) = 15.11 kips/bolt
Ri vector at Shear Plate = <-0.00, 17.74>
Lcsshpl at Shear Plate spacing = 1.94 in.
Lceshpl at Shear Plate edge = 3.97 in.
1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 1.94 * 1.00 * 58.00 = 67.42 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 3.97 * 1.00 * 58.00 = 138.11 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 1.00 * 1.00 * 58.00 = 69.60 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(67.42, 138.11, 69.60) = 67.42 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(15.112, 67.425) = 15.11 kips/bolt
Bolt Shear Demand to Bearing ratio = 15.11 / 17.74 = 0.85
At Row 3, At Column 1:
Ri1 = 20.81 kips
Ri vector at Beam = <-12.32, 16.78>
Lcsbm at Beam spacing = 2.76 in.
Lcebm at Beam edge = 3.22 in.
1/omegaRnsbm at Beam spacing = 1/omega * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.76 * (0.20/1) * 65.00 = 21.55 kips/bolt
1/omegaRnebm at Beam edge = 1/omega * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 3.22 * (0.20/1) * 65.00 = 25.15 kips/bolt
1/omegaRndbm on Beam at Bolt Diameter = 1/omega * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 1.00 * (0.20/1) * 65.00 = 15.60 kips/bolt
Beam bearing capacity, 1/omegaRnbm = min(1/omegaRnsbm,1/omegaRnebm,1/omegaRndbm) = min(21.55, 25.15, 15.60) = 15.60 kips/bolt
Ri vector at Shear Plate = <12.32, -16.78>
Lcsshpl at Shear Plate spacing = 2.67 in.
Lceshpl at Shear Plate edge = 1.20 in.
1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.67 * 1.00 * 58.00 = 93.08 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 1.20 * 1.00 * 58.00 = 41.83 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 1.00 * 1.00 * 58.00 = 69.60 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(93.08, 41.83, 69.60) = 41.83 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(15.600, 41.826) = 15.60 kips/bolt
Bolt Shear Demand to Bearing ratio = 15.60 / 20.81 = 0.75
At Row 3, At Column 2:
Ri1 = 19.79 kips
Ri vector at Beam = <-18.61, 6.73>
Lcsbm at Beam spacing = 2.76 in.
Lcebm at Beam edge = 5.00 in.
1/omegaRnsbm at Beam spacing = 1/omega * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.76 * (0.20/1) * 65.00 = 21.55 kips/bolt
1/omegaRnebm at Beam edge = 1/omega * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 5.00 * (0.20/1) * 65.00 = 39.04 kips/bolt
1/omegaRndbm on Beam at Bolt Diameter = 1/omega * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 1.00 * (0.20/1) * 65.00 = 15.60 kips/bolt
Beam bearing capacity, 1/omegaRnbm = min(1/omegaRnsbm,1/omegaRnebm,1/omegaRndbm) = min(21.55, 39.04, 15.60) = 15.60 kips/bolt
Ri vector at Shear Plate = <18.61, -6.73>
Lcsshpl at Shear Plate spacing = 2.67 in.
Lceshpl at Shear Plate edge = 3.71 in.
1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.67 * 1.00 * 58.00 = 93.08 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 3.71 * 1.00 * 58.00 = 129.18 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 1.00 * 1.00 * 58.00 = 69.60 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(93.08, 129.18, 69.60) = 69.60 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(15.600, 69.600) = 15.60 kips/bolt
Bolt Shear Demand to Bearing ratio = 15.60 / 19.79 = 0.79
At Row 3, At Column 3:
Ri1 = 20.11 kips
Ri vector at Beam = <-16.95, -10.82>
Lcsbm at Beam spacing = 2.76 in.
Lcebm at Beam edge = 4.82 in.
1/omegaRnsbm at Beam spacing = 1/omega * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.76 * (0.20/1) * 65.00 = 21.55 kips/bolt
1/omegaRnebm at Beam edge = 1/omega * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 4.82 * (0.20/1) * 65.00 = 37.59 kips/bolt
1/omegaRndbm on Beam at Bolt Diameter = 1/omega * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 1.00 * (0.20/1) * 65.00 = 15.60 kips/bolt
Beam bearing capacity, 1/omegaRnbm = min(1/omegaRnsbm,1/omegaRnebm,1/omegaRndbm) = min(21.55, 37.59, 15.60) = 15.60 kips/bolt
Ri vector at Shear Plate = <16.95, 10.82>
Lcsshpl at Shear Plate spacing = 2.67 in.
Lceshpl at Shear Plate edge = 1.59 in.
1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.67 * 1.00 * 58.00 = 93.08 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 1.59 * 1.00 * 58.00 = 55.48 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 1.00 * 1.00 * 58.00 = 69.60 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(93.08, 55.48, 69.60) = 55.48 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(15.600, 55.478) = 15.60 kips/bolt
Bolt Shear Demand to Bearing ratio = 15.60 / 20.11 = 0.78
Min Bolt Shear Demand to Bearing ratio for vertical shear only = min(1.0, 0.749512, 0.788071, 0.775684, 0.739299, 1.02431, 0.851682, 0.749513, 0.788078, 0.775688) = 0.74
Bearing Capacity at Beam and Shear Plate at Vertical Shear Load Only, Rbv1 = Min Bolt Shear Demand to Bearing Ratio * Bolt Shear = 0.74 * 42.83 = 31.66 kips |