BOLT BEARING AT BEAM SIDE:
Vertical Shear Only Load Case:
ICR cordinate relative to CG = (1.16, -0.00)
At Row 1, At Column 1:
Ri1 = 11.71 kips
Ri vector at Beam = <6.85, 9.50>
Lcsbm at Beam spacing = 3.12 in.
Lcebm at Beam edge = 3.29 in.
1/omegaRnsbm at Beam spacing = 1/omega * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 3.12 * (0.22/1) * 65.00 = 26.73 kips/bolt
1/omegaRnebm at Beam edge = 1/omega * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 3.29 * (0.22/1) * 65.00 = 28.25 kips/bolt
1/omegaRndbm on Beam at Bolt Diameter = 1/omega * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.75 * (0.22/1) * 65.00 = 12.87 kips/bolt
Beam bearing capacity, 1/omegaRnbm = min(1/omegaRnsbm,1/omegaRnebm,1/omegaRndbm) = min(26.73, 28.25, 12.87) = 12.87 kips/bolt
Ri vector at Shear Plate = <-6.85, -9.50>
Lcsshpl at Shear Plate spacing = 3.05 in.
Lceshpl at Shear Plate edge = 8.44 in.
1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 3.05 * 1.00 * 58.00 = 106.13 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 8.44 * 1.00 * 58.00 = 293.60 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 0.75 * 1.00 * 58.00 = 52.20 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(106.13, 293.60, 52.20) = 52.20 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(12.870, 52.200) = 12.87 kips/bolt
Bolt Shear Demand to Bearing ratio = 12.87 / 11.71 = 1.10
At Row 1, At Column 2:
Ri1 = 11.13 kips
Ri vector at Beam = <10.38, 4.02>
Lcsbm at Beam spacing = 3.12 in.
Lcebm at Beam edge = 7.90 in.
1/omegaRnsbm at Beam spacing = 1/omega * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 3.12 * (0.22/1) * 65.00 = 26.73 kips/bolt
1/omegaRnebm at Beam edge = 1/omega * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 7.90 * (0.22/1) * 65.00 = 67.80 kips/bolt
1/omegaRndbm on Beam at Bolt Diameter = 1/omega * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.75 * (0.22/1) * 65.00 = 12.87 kips/bolt
Beam bearing capacity, 1/omegaRnbm = min(1/omegaRnsbm,1/omegaRnebm,1/omegaRndbm) = min(26.73, 67.80, 12.87) = 12.87 kips/bolt
Ri vector at Shear Plate = <-10.38, -4.02>
Lcsshpl at Shear Plate spacing = 3.05 in.
Lceshpl at Shear Plate edge = 12.87 in.
1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 3.05 * 1.00 * 58.00 = 106.13 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 12.87 * 1.00 * 58.00 = 447.81 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 0.75 * 1.00 * 58.00 = 52.20 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(106.13, 447.81, 52.20) = 52.20 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(12.870, 52.200) = 12.87 kips/bolt
Bolt Shear Demand to Bearing ratio = 12.87 / 11.13 = 1.16
At Row 1, At Column 3:
Ri1 = 11.28 kips
Ri vector at Beam = <9.62, -5.89>
Lcsbm at Beam spacing = 3.12 in.
Lcebm at Beam edge = 16.82 in.
1/omegaRnsbm at Beam spacing = 1/omega * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 3.12 * (0.22/1) * 65.00 = 26.73 kips/bolt
1/omegaRnebm at Beam edge = 1/omega * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 16.82 * (0.22/1) * 65.00 = 144.32 kips/bolt
1/omegaRndbm on Beam at Bolt Diameter = 1/omega * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.75 * (0.22/1) * 65.00 = 12.87 kips/bolt
Beam bearing capacity, 1/omegaRnbm = min(1/omegaRnsbm,1/omegaRnebm,1/omegaRndbm) = min(26.73, 144.32, 12.87) = 12.87 kips/bolt
Ri vector at Shear Plate = <-9.62, 5.89>
Lcsshpl at Shear Plate spacing = 3.05 in.
Lceshpl at Shear Plate edge = 1.81 in.
1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 3.05 * 1.00 * 58.00 = 106.13 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 1.81 * 1.00 * 58.00 = 62.85 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 0.75 * 1.00 * 58.00 = 52.20 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(106.13, 62.85, 52.20) = 52.20 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(12.870, 52.200) = 12.87 kips/bolt
Bolt Shear Demand to Bearing ratio = 12.87 / 11.28 = 1.14
At Row 2, At Column 1:
Ri1 = 11.51 kips
Ri vector at Beam = <0.00, 11.51>
Lcsbm at Beam spacing = 2.19 in.
Lcebm at Beam edge = 5.59 in.
1/omegaRnsbm at Beam spacing = 1/omega * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.19 * (0.22/1) * 65.00 = 18.77 kips/bolt
1/omegaRnebm at Beam edge = 1/omega * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 5.59 * (0.22/1) * 65.00 = 47.99 kips/bolt
1/omegaRndbm on Beam at Bolt Diameter = 1/omega * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.75 * (0.22/1) * 65.00 = 12.87 kips/bolt
Beam bearing capacity, 1/omegaRnbm = min(1/omegaRnsbm,1/omegaRnebm,1/omegaRndbm) = min(18.77, 47.99, 12.87) = 12.87 kips/bolt
Ri vector at Shear Plate = <-0.00, -11.51>
Lcsshpl at Shear Plate spacing = 2.19 in.
Lceshpl at Shear Plate edge = 3.84 in.
1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.19 * 1.00 * 58.00 = 76.12 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 3.84 * 1.00 * 58.00 = 133.76 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 0.75 * 1.00 * 58.00 = 52.20 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(76.12, 133.76, 52.20) = 52.20 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(12.870, 52.200) = 12.87 kips/bolt
Bolt Shear Demand to Bearing ratio = 12.87 / 11.51 = 1.12
At Row 2, At Column 2:
Ri1 = 8.47 kips
Ri vector at Beam = <0.00, 8.47>
Lcsbm at Beam spacing = 2.19 in.
Lcebm at Beam edge = 5.59 in.
1/omegaRnsbm at Beam spacing = 1/omega * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.19 * (0.22/1) * 65.00 = 18.77 kips/bolt
1/omegaRnebm at Beam edge = 1/omega * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 5.59 * (0.22/1) * 65.00 = 47.99 kips/bolt
1/omegaRndbm on Beam at Bolt Diameter = 1/omega * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.75 * (0.22/1) * 65.00 = 12.87 kips/bolt
Beam bearing capacity, 1/omegaRnbm = min(1/omegaRnsbm,1/omegaRnebm,1/omegaRndbm) = min(18.77, 47.99, 12.87) = 12.87 kips/bolt
Ri vector at Shear Plate = <-0.00, -8.47>
Lcsshpl at Shear Plate spacing = 2.19 in.
Lceshpl at Shear Plate edge = 3.84 in.
1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.19 * 1.00 * 58.00 = 76.12 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 3.84 * 1.00 * 58.00 = 133.76 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 0.75 * 1.00 * 58.00 = 52.20 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(76.12, 133.76, 52.20) = 52.20 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(12.870, 52.200) = 12.87 kips/bolt
Bolt Shear Demand to Bearing ratio = 12.87 / 8.47 = 1.52
At Row 2, At Column 3:
Ri1 = 9.84 kips
Ri vector at Beam = <0.00, -9.84>
Lcsbm at Beam spacing = 2.19 in.
Lcebm at Beam edge = 5.59 in.
1/omegaRnsbm at Beam spacing = 1/omega * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.19 * (0.22/1) * 65.00 = 18.77 kips/bolt
1/omegaRnebm at Beam edge = 1/omega * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 5.59 * (0.22/1) * 65.00 = 47.99 kips/bolt
1/omegaRndbm on Beam at Bolt Diameter = 1/omega * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.75 * (0.22/1) * 65.00 = 12.87 kips/bolt
Beam bearing capacity, 1/omegaRnbm = min(1/omegaRnsbm,1/omegaRnebm,1/omegaRndbm) = min(18.77, 47.99, 12.87) = 12.87 kips/bolt
Ri vector at Shear Plate = <-0.00, 9.84>
Lcsshpl at Shear Plate spacing = 2.19 in.
Lceshpl at Shear Plate edge = 3.84 in.
1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.19 * 1.00 * 58.00 = 76.12 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 3.84 * 1.00 * 58.00 = 133.76 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 0.75 * 1.00 * 58.00 = 52.20 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(76.12, 133.76, 52.20) = 52.20 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(12.870, 52.200) = 12.87 kips/bolt
Bolt Shear Demand to Bearing ratio = 12.87 / 9.84 = 1.31
At Row 3, At Column 1:
Ri1 = 11.71 kips
Ri vector at Beam = <-6.85, 9.50>
Lcsbm at Beam spacing = 3.12 in.
Lcebm at Beam edge = 2.27 in.
1/omegaRnsbm at Beam spacing = 1/omega * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 3.12 * (0.22/1) * 65.00 = 26.73 kips/bolt
1/omegaRnebm at Beam edge = 1/omega * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.27 * (0.22/1) * 65.00 = 19.44 kips/bolt
1/omegaRndbm on Beam at Bolt Diameter = 1/omega * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.75 * (0.22/1) * 65.00 = 12.87 kips/bolt
Beam bearing capacity, 1/omegaRnbm = min(1/omegaRnsbm,1/omegaRnebm,1/omegaRndbm) = min(26.73, 19.44, 12.87) = 12.87 kips/bolt
Ri vector at Shear Plate = <6.85, -9.50>
Lcsshpl at Shear Plate spacing = 3.05 in.
Lceshpl at Shear Plate edge = 1.04 in.
1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 3.05 * 1.00 * 58.00 = 106.13 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 1.04 * 1.00 * 58.00 = 36.20 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 0.75 * 1.00 * 58.00 = 52.20 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(106.13, 36.20, 52.20) = 36.20 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(12.870, 36.196) = 12.87 kips/bolt
Bolt Shear Demand to Bearing ratio = 12.87 / 11.71 = 1.10
At Row 3, At Column 2:
Ri1 = 11.13 kips
Ri vector at Beam = <-10.38, 4.02>
Lcsbm at Beam spacing = 3.12 in.
Lcebm at Beam edge = 4.49 in.
1/omegaRnsbm at Beam spacing = 1/omega * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 3.12 * (0.22/1) * 65.00 = 26.73 kips/bolt
1/omegaRnebm at Beam edge = 1/omega * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 4.49 * (0.22/1) * 65.00 = 38.49 kips/bolt
1/omegaRndbm on Beam at Bolt Diameter = 1/omega * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.75 * (0.22/1) * 65.00 = 12.87 kips/bolt
Beam bearing capacity, 1/omegaRnbm = min(1/omegaRnsbm,1/omegaRnebm,1/omegaRndbm) = min(26.73, 38.49, 12.87) = 12.87 kips/bolt
Ri vector at Shear Plate = <10.38, -4.02>
Lcsshpl at Shear Plate spacing = 3.05 in.
Lceshpl at Shear Plate edge = 2.93 in.
1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 3.05 * 1.00 * 58.00 = 106.13 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 2.93 * 1.00 * 58.00 = 101.80 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 0.75 * 1.00 * 58.00 = 52.20 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(106.13, 101.80, 52.20) = 52.20 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(12.870, 52.200) = 12.87 kips/bolt
Bolt Shear Demand to Bearing ratio = 12.87 / 11.13 = 1.16
At Row 3, At Column 3:
Ri1 = 11.28 kips
Ri vector at Beam = <-9.61, -5.89>
Lcsbm at Beam spacing = 3.12 in.
Lcebm at Beam edge = 5.34 in.
1/omegaRnsbm at Beam spacing = 1/omega * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 3.12 * (0.22/1) * 65.00 = 26.73 kips/bolt
1/omegaRnebm at Beam edge = 1/omega * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 5.34 * (0.22/1) * 65.00 = 45.78 kips/bolt
1/omegaRndbm on Beam at Bolt Diameter = 1/omega * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.75 * (0.22/1) * 65.00 = 12.87 kips/bolt
Beam bearing capacity, 1/omegaRnbm = min(1/omegaRnsbm,1/omegaRnebm,1/omegaRndbm) = min(26.73, 45.78, 12.87) = 12.87 kips/bolt
Ri vector at Shear Plate = <9.61, 5.89>
Lcsshpl at Shear Plate spacing = 3.05 in.
Lceshpl at Shear Plate edge = 1.17 in.
1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 3.05 * 1.00 * 58.00 = 106.13 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 1.17 * 1.00 * 58.00 = 40.81 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 0.75 * 1.00 * 58.00 = 52.20 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(106.13, 40.81, 52.20) = 40.81 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(12.870, 40.814) = 12.87 kips/bolt
Bolt Shear Demand to Bearing ratio = 12.87 / 11.28 = 1.14
Min Bolt Shear Demand to Bearing ratio for vertical shear only = min(1.0, 1.09928, 1.15652, 1.14132, 1.11854, 1.51896, 1.30843, 1.09929, 1.15654, 1.14133) = 1.00
Bearing Capacity at Beam and Shear Plate at Vertical Shear Load Only, Rbv1 = Min Bolt Shear Demand to Bearing Ratio * Bolt Shear = 1.00 * 25.39 = 25.39 kips |