BOLT BEARING AT BEAM SIDE:
Vertical Shear Only Load Case:
ICR cordinate relative to CG = (1.14, -0.00)
At Row 1, At Column 1:
Ri1 = 20.81 kips
Ri vector at Beam = <12.22, 16.85>
Lcsbm at Beam spacing = 2.76 in.
Lcebm at Beam edge = 3.18 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 * 3.18 * (0.20/1) * 65.00 = 24.77 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, 24.77, 15.60) = 15.60 kips/bolt
Ri vector at Shear Plate = <-12.22, -16.85>
Lcsshpl at Shear Plate spacing = 2.67 in.
Lceshpl at Shear Plate edge = 8.61 in.
1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.67 * 0.88 * 58.00 = 81.44 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 8.61 * 0.88 * 58.00 = 262.17 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 1.00 * 0.88 * 58.00 = 60.90 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(81.44, 262.17, 60.90) = 60.90 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(15.600, 60.900) = 15.60 kips/bolt
Bolt Shear Demand to Bearing ratio = 15.60 / 20.81 = 0.75
At Row 1, At Column 2:
Ri1 = 19.79 kips
Ri vector at Beam = <18.51, 7.00>
Lcsbm at Beam spacing = 2.76 in.
Lcebm at Beam edge = 7.95 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 * 7.95 * (0.20/1) * 65.00 = 61.98 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, 61.98, 15.60) = 15.60 kips/bolt
Ri vector at Shear Plate = <-18.51, -7.00>
Lcsshpl at Shear Plate spacing = 2.67 in.
Lceshpl at Shear Plate edge = 12.93 in.
1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.67 * 0.88 * 58.00 = 81.44 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 12.93 * 0.88 * 58.00 = 393.73 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 1.00 * 0.88 * 58.00 = 60.90 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(81.44, 393.73, 60.90) = 60.90 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(15.600, 60.900) = 15.60 kips/bolt
Bolt Shear Demand to Bearing ratio = 15.60 / 19.79 = 0.79
At Row 1, At Column 3:
Ri1 = 20.07 kips
Ri vector at Beam = <17.05, -10.59>
Lcsbm at Beam spacing = 2.76 in.
Lcebm at Beam edge = 16.33 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 * 16.33 * (0.20/1) * 65.00 = 127.36 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, 127.36, 15.60) = 15.60 kips/bolt
Ri vector at Shear Plate = <-17.05, 10.59>
Lcsshpl at Shear Plate spacing = 2.67 in.
Lceshpl at Shear Plate edge = 2.07 in.
1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.67 * 0.88 * 58.00 = 81.44 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 2.07 * 0.88 * 58.00 = 62.99 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 1.00 * 0.88 * 58.00 = 60.90 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(81.44, 62.99, 60.90) = 60.90 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(15.600, 60.900) = 15.60 kips/bolt
Bolt Shear Demand to Bearing ratio = 15.60 / 20.07 = 0.78
At Row 2, At Column 1:
Ri1 = 20.45 kips
Ri vector at Beam = <0.00, 20.45>
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, -20.45>
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 * 0.88 * 58.00 = 59.00 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 3.97 * 0.88 * 58.00 = 120.85 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 1.00 * 0.88 * 58.00 = 60.90 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(59.00, 120.85, 60.90) = 59.00 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(15.112, 58.997) = 15.11 kips/bolt
Bolt Shear Demand to Bearing ratio = 15.11 / 20.45 = 0.74
At Row 2, At Column 2:
Ri1 = 14.96 kips
Ri vector at Beam = <0.00, 14.96>
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, -14.96>
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 * 0.88 * 58.00 = 59.00 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 3.97 * 0.88 * 58.00 = 120.85 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 1.00 * 0.88 * 58.00 = 60.90 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(59.00, 120.85, 60.90) = 59.00 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(15.112, 58.997) = 15.11 kips/bolt
Bolt Shear Demand to Bearing ratio = 15.11 / 14.96 = 1.01
At Row 2, At Column 3:
Ri1 = 17.58 kips
Ri vector at Beam = <0.00, -17.58>
Lcsbm at Beam spacing = 1.94 in.
Lcebm at Beam edge = 5.37 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 * 5.37 * (0.20/1) * 65.00 = 41.88 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, 41.88, 15.60) = 15.11 kips/bolt
Ri vector at Shear Plate = <-0.00, 17.58>
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 * 0.88 * 58.00 = 59.00 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 3.97 * 0.88 * 58.00 = 120.85 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 1.00 * 0.88 * 58.00 = 60.90 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(59.00, 120.85, 60.90) = 59.00 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(15.112, 58.997) = 15.11 kips/bolt
Bolt Shear Demand to Bearing ratio = 15.11 / 17.58 = 0.86
At Row 3, At Column 1:
Ri1 = 20.81 kips
Ri vector at Beam = <-12.22, 16.85>
Lcsbm at Beam spacing = 2.76 in.
Lcebm at Beam edge = 3.19 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 * 3.19 * (0.20/1) * 65.00 = 24.91 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, 24.91, 15.60) = 15.60 kips/bolt
Ri vector at Shear Plate = <12.22, -16.85>
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 * 0.88 * 58.00 = 81.44 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 1.20 * 0.88 * 58.00 = 36.44 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 1.00 * 0.88 * 58.00 = 60.90 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(81.44, 36.44, 60.90) = 36.44 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(15.600, 36.443) = 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 = <-18.51, 7.00>
Lcsbm at Beam spacing = 2.76 in.
Lcebm at Beam edge = 5.02 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 * 5.02 * (0.20/1) * 65.00 = 39.12 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, 39.12, 15.60) = 15.60 kips/bolt
Ri vector at Shear Plate = <18.51, -7.00>
Lcsshpl at Shear Plate spacing = 2.67 in.
Lceshpl at Shear Plate edge = 3.54 in.
1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.67 * 0.88 * 58.00 = 81.44 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 3.54 * 0.88 * 58.00 = 107.69 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 1.00 * 0.88 * 58.00 = 60.90 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(81.44, 107.69, 60.90) = 60.90 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(15.600, 60.900) = 15.60 kips/bolt
Bolt Shear Demand to Bearing ratio = 15.60 / 19.79 = 0.79
At Row 3, At Column 3:
Ri1 = 20.07 kips
Ri vector at Beam = <-17.04, -10.60>
Lcsbm at Beam spacing = 2.76 in.
Lcebm at Beam edge = 4.96 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 * 4.96 * (0.20/1) * 65.00 = 38.70 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, 38.70, 15.60) = 15.60 kips/bolt
Ri vector at Shear Plate = <17.04, 10.60>
Lcsshpl at Shear Plate spacing = 2.67 in.
Lceshpl at Shear Plate edge = 1.58 in.
1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.67 * 0.88 * 58.00 = 81.44 kips/bolt
1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 1.58 * 0.88 * 58.00 = 48.18 kips/bolt
1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 1.00 * 0.88 * 58.00 = 60.90 kips/bolt
Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(81.44, 48.18, 60.90) = 48.18 kips/bolt
1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(15.600, 48.180) = 15.60 kips/bolt
Bolt Shear Demand to Bearing ratio = 15.60 / 20.07 = 0.78
Min Bolt Shear Demand to Bearing ratio for vertical shear only = min(1.0, 0.749512, 0.788379, 0.777298, 0.738977, 1.01028, 0.859765, 0.749515, 0.788399, 0.777312) = 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 * 44.34 = 32.77 kips |