BOLT BEARING AT BEAM AND SHEAR PLATE SIDE
Vertical Shear Only Load Case:
ICR cordinate relative to CG = (2.02, 0.00)
At Row 1, At Column 1:
Ribolt = 17.56 kips
Ri vector at Beam = <11.90, 12.92>
Lcsbm at Beam spacing = 3.12 in.
Lcebm at Beam edge = 3.67 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 3.12 * (0.41/1) * 65.00 = 75.64 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 3.67 * (0.41/1) * 65.00 = 89.15 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 0.75 * (0.41/1) * 65.00 = 36.42 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(75.64, 89.15, 36.42) = 36.42 kips/bolt
Ri vector at Shear Plate = <-11.90, -12.92>
Lcsshpl at Shear Plate spacing = 3.05 in.
Lceshpl at Shear Plate edge = 16.06 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 3.05 * 0.75 * 65.00 = 133.81 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 16.06 * 0.75 * 65.00 = 704.45 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 0.75 * 0.75 * 65.00 = 65.81 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(133.81, 704.45, 65.81) = 65.81 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(36.42, 65.81) = 36.42 kips/bolt
Bolt Shear Demand to Bearing ratio = 36.42 / 17.56 = 2.07
At Row 1, At Column 2:
Ribolt = 17.20 kips
Ri vector at Beam = <14.84, 8.70>
Lcsbm at Beam spacing = 3.12 in.
Lcebm at Beam edge = 5.53 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 3.12 * (0.41/1) * 65.00 = 75.64 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 5.53 * (0.41/1) * 65.00 = 134.21 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 0.75 * (0.41/1) * 65.00 = 36.42 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(75.64, 134.21, 36.42) = 36.42 kips/bolt
Ri vector at Shear Plate = <-14.84, -8.70>
Lcsshpl at Shear Plate spacing = 3.05 in.
Lceshpl at Shear Plate edge = 15.94 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 3.05 * 0.75 * 65.00 = 133.81 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 15.94 * 0.75 * 65.00 = 699.23 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 0.75 * 0.75 * 65.00 = 65.81 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(133.81, 699.23, 65.81) = 65.81 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(36.42, 65.81) = 36.42 kips/bolt
Bolt Shear Demand to Bearing ratio = 36.42 / 17.20 = 2.12
At Row 1, At Column 3:
Ribolt = 16.89 kips
Ri vector at Beam = <16.83, 1.45>
Lcsbm at Beam spacing = 2.19 in.
Lcebm at Beam edge = 34.63 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 2.19 * (0.41/1) * 65.00 = 53.11 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 34.63 * (0.41/1) * 65.00 = 840.70 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 0.75 * (0.41/1) * 65.00 = 36.42 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(53.11, 840.70, 36.42) = 36.42 kips/bolt
Ri vector at Shear Plate = <-16.83, -1.45>
Lcsshpl at Shear Plate spacing = 2.00 in.
Lceshpl at Shear Plate edge = 16.81 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 2.00 * 0.75 * 65.00 = 87.75 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 16.81 * 0.75 * 65.00 = 737.63 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 0.75 * 0.75 * 65.00 = 65.81 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(87.75, 737.63, 65.81) = 65.81 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(36.42, 65.81) = 36.42 kips/bolt
Bolt Shear Demand to Bearing ratio = 36.42 / 16.89 = 2.16
At Row 1, At Column 4:
Ribolt = 17.06 kips
Ri vector at Beam = <15.77, -6.53>
Lcsbm at Beam spacing = 3.12 in.
Lcebm at Beam edge = 39.33 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 3.12 * (0.41/1) * 65.00 = 75.64 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 39.33 * (0.41/1) * 65.00 = 954.77 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 0.75 * (0.41/1) * 65.00 = 36.42 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(75.64, 954.77, 36.42) = 36.42 kips/bolt
Ri vector at Shear Plate = <-15.77, 6.53>
Lcsshpl at Shear Plate spacing = 3.05 in.
Lceshpl at Shear Plate edge = 2.73 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 3.05 * 0.75 * 65.00 = 133.81 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 2.73 * 0.75 * 65.00 = 119.62 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 0.75 * 0.75 * 65.00 = 65.81 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(133.81, 119.62, 65.81) = 65.81 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(36.42, 65.81) = 36.42 kips/bolt
Bolt Shear Demand to Bearing ratio = 36.42 / 17.06 = 2.13
At Row 2, At Column 1:
Ribolt = 17.26 kips
Ri vector at Beam = <7.22, 15.67>
Lcsbm at Beam spacing = 3.12 in.
Lcebm at Beam edge = 6.20 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 3.12 * (0.41/1) * 65.00 = 75.64 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 6.20 * (0.41/1) * 65.00 = 150.50 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 0.75 * (0.41/1) * 65.00 = 36.42 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(75.64, 150.50, 36.42) = 36.42 kips/bolt
Ri vector at Shear Plate = <-7.22, -15.67>
Lcsshpl at Shear Plate spacing = 3.05 in.
Lceshpl at Shear Plate edge = 10.84 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 3.05 * 0.75 * 65.00 = 133.81 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 10.84 * 0.75 * 65.00 = 475.49 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 0.75 * 0.75 * 65.00 = 65.81 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(133.81, 475.49, 65.81) = 65.81 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(36.42, 65.81) = 36.42 kips/bolt
Bolt Shear Demand to Bearing ratio = 36.42 / 17.26 = 2.11
At Row 2, At Column 2:
Ribolt = 16.15 kips
Ri vector at Beam = <10.49, 12.29>
Lcsbm at Beam spacing = 3.12 in.
Lcebm at Beam edge = 7.48 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 3.12 * (0.41/1) * 65.00 = 75.64 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 7.48 * (0.41/1) * 65.00 = 181.63 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 0.75 * (0.41/1) * 65.00 = 36.42 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(75.64, 181.63, 36.42) = 36.42 kips/bolt
Ri vector at Shear Plate = <-10.49, -12.29>
Lcsshpl at Shear Plate spacing = 3.05 in.
Lceshpl at Shear Plate edge = 12.94 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 3.05 * 0.75 * 65.00 = 133.81 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 12.94 * 0.75 * 65.00 = 567.78 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 0.75 * 0.75 * 65.00 = 65.81 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(133.81, 567.78, 65.81) = 65.81 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(36.42, 65.81) = 36.42 kips/bolt
Bolt Shear Demand to Bearing ratio = 36.42 / 16.15 = 2.25
At Row 2, At Column 3:
Ribolt = 14.58 kips
Ri vector at Beam = <14.37, 2.47>
Lcsbm at Beam spacing = 2.19 in.
Lcebm at Beam edge = 35.01 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 2.19 * (0.41/1) * 65.00 = 53.11 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 35.01 * (0.41/1) * 65.00 = 850.00 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 0.75 * (0.41/1) * 65.00 = 36.42 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(53.11, 850.00, 36.42) = 36.42 kips/bolt
Ri vector at Shear Plate = <-14.37, -2.47>
Lcsshpl at Shear Plate spacing = 2.00 in.
Lceshpl at Shear Plate edge = 17.00 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 2.00 * 0.75 * 65.00 = 87.75 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 17.00 * 0.75 * 65.00 = 745.70 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 0.75 * 0.75 * 65.00 = 65.81 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(87.75, 745.70, 65.81) = 65.81 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(36.42, 65.81) = 36.42 kips/bolt
Bolt Shear Demand to Bearing ratio = 36.42 / 14.58 = 2.50
At Row 2, At Column 4:
Ribolt = 15.56 kips
Ri vector at Beam = <11.99, -9.92>
Lcsbm at Beam spacing = 3.12 in.
Lcebm at Beam edge = 18.72 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 3.12 * (0.41/1) * 65.00 = 75.64 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 18.72 * (0.41/1) * 65.00 = 454.53 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 0.75 * (0.41/1) * 65.00 = 36.42 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(75.64, 454.53, 36.42) = 36.42 kips/bolt
Ri vector at Shear Plate = <-11.99, 9.92>
Lcsshpl at Shear Plate spacing = 3.05 in.
Lceshpl at Shear Plate edge = 6.03 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 3.05 * 0.75 * 65.00 = 133.81 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 6.03 * 0.75 * 65.00 = 264.42 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 0.75 * 0.75 * 65.00 = 65.81 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(133.81, 264.42, 65.81) = 65.81 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(36.42, 65.81) = 36.42 kips/bolt
Bolt Shear Demand to Bearing ratio = 36.42 / 15.56 = 2.34
At Row 3, At Column 1:
Ribolt = 17.07 kips
Ri vector at Beam = <-0.00, 17.07>
Lcsbm at Beam spacing = 2.19 in.
Lcebm at Beam edge = 8.59 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 2.19 * (0.41/1) * 65.00 = 53.11 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 8.59 * (0.41/1) * 65.00 = 208.64 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 0.75 * (0.41/1) * 65.00 = 36.42 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(53.11, 208.64, 36.42) = 36.42 kips/bolt
Ri vector at Shear Plate = <0.00, -17.07>
Lcsshpl at Shear Plate spacing = 2.19 in.
Lceshpl at Shear Plate edge = 6.84 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 2.19 * 0.75 * 65.00 = 95.98 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 6.84 * 0.75 * 65.00 = 300.28 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 0.75 * 0.75 * 65.00 = 65.81 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(95.98, 300.28, 65.81) = 65.81 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(36.42, 65.81) = 36.42 kips/bolt
Bolt Shear Demand to Bearing ratio = 36.42 / 17.07 = 2.13
At Row 3, At Column 2:
Ribolt = 15.17 kips
Ri vector at Beam = <-0.00, 15.17>
Lcsbm at Beam spacing = 2.19 in.
Lcebm at Beam edge = 8.59 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 2.19 * (0.41/1) * 65.00 = 53.11 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 8.59 * (0.41/1) * 65.00 = 208.64 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 0.75 * (0.41/1) * 65.00 = 36.42 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(53.11, 208.64, 36.42) = 36.42 kips/bolt
Ri vector at Shear Plate = <0.00, -15.17>
Lcsshpl at Shear Plate spacing = 2.19 in.
Lceshpl at Shear Plate edge = 6.84 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 2.19 * 0.75 * 65.00 = 95.98 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 6.84 * 0.75 * 65.00 = 300.28 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 0.75 * 0.75 * 65.00 = 65.81 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(95.98, 300.28, 65.81) = 65.81 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(36.42, 65.81) = 36.42 kips/bolt
Bolt Shear Demand to Bearing ratio = 36.42 / 15.17 = 2.40
At Row 3, At Column 3:
Ribolt = 6.96 kips
Ri vector at Beam = <-0.00, 6.96>
Lcsbm at Beam spacing = 2.19 in.
Lcebm at Beam edge = 8.59 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 2.19 * (0.41/1) * 65.00 = 53.11 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 8.59 * (0.41/1) * 65.00 = 208.64 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 0.75 * (0.41/1) * 65.00 = 36.42 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(53.11, 208.64, 36.42) = 36.42 kips/bolt
Ri vector at Shear Plate = <0.00, -6.96>
Lcsshpl at Shear Plate spacing = 2.19 in.
Lceshpl at Shear Plate edge = 6.84 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 2.19 * 0.75 * 65.00 = 95.98 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 6.84 * 0.75 * 65.00 = 300.28 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 0.75 * 0.75 * 65.00 = 65.81 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(95.98, 300.28, 65.81) = 65.81 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(36.42, 65.81) = 36.42 kips/bolt
Bolt Shear Demand to Bearing ratio = 36.42 / 6.96 = 5.23
At Row 3, At Column 4:
Ribolt = 13.69 kips
Ri vector at Beam = <-0.00, -13.69>
Lcsbm at Beam spacing = 2.19 in.
Lcebm at Beam edge = 8.79 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 2.19 * (0.41/1) * 65.00 = 53.11 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 8.79 * (0.41/1) * 65.00 = 213.50 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 0.75 * (0.41/1) * 65.00 = 36.42 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(53.11, 213.50, 36.42) = 36.42 kips/bolt
Ri vector at Shear Plate = <0.00, 13.69>
Lcsshpl at Shear Plate spacing = 2.19 in.
Lceshpl at Shear Plate edge = 6.84 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 2.19 * 0.75 * 65.00 = 95.98 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 6.84 * 0.75 * 65.00 = 300.28 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 0.75 * 0.75 * 65.00 = 65.81 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(95.98, 300.28, 65.81) = 65.81 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(36.42, 65.81) = 36.42 kips/bolt
Bolt Shear Demand to Bearing ratio = 36.42 / 13.69 = 2.66
At Row 4, At Column 1:
Ribolt = 17.26 kips
Ri vector at Beam = <-7.22, 15.67>
Lcsbm at Beam spacing = 3.12 in.
Lcebm at Beam edge = 3.18 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 3.12 * (0.41/1) * 65.00 = 75.64 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 3.18 * (0.41/1) * 65.00 = 77.21 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 0.75 * (0.41/1) * 65.00 = 36.42 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(75.64, 77.21, 36.42) = 36.42 kips/bolt
Ri vector at Shear Plate = <7.22, -15.67>
Lcsshpl at Shear Plate spacing = 3.05 in.
Lceshpl at Shear Plate edge = 4.23 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 3.05 * 0.75 * 65.00 = 133.81 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 4.23 * 0.75 * 65.00 = 185.67 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 0.75 * 0.75 * 65.00 = 65.81 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(133.81, 185.67, 65.81) = 65.81 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(36.42, 65.81) = 36.42 kips/bolt
Bolt Shear Demand to Bearing ratio = 36.42 / 17.26 = 2.11
At Row 4, At Column 2:
Ribolt = 16.15 kips
Ri vector at Beam = <-10.49, 12.29>
Lcsbm at Beam spacing = 3.12 in.
Lcebm at Beam edge = 6.53 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 3.12 * (0.41/1) * 65.00 = 75.64 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 6.53 * (0.41/1) * 65.00 = 158.45 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 0.75 * (0.41/1) * 65.00 = 36.42 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(75.64, 158.45, 36.42) = 36.42 kips/bolt
Ri vector at Shear Plate = <10.49, -12.29>
Lcsshpl at Shear Plate spacing = 3.05 in.
Lceshpl at Shear Plate edge = 5.05 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 3.05 * 0.75 * 65.00 = 133.81 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 5.05 * 0.75 * 65.00 = 221.70 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 0.75 * 0.75 * 65.00 = 65.81 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(133.81, 221.70, 65.81) = 65.81 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(36.42, 65.81) = 36.42 kips/bolt
Bolt Shear Demand to Bearing ratio = 36.42 / 16.15 = 2.25
At Row 4, At Column 3:
Ribolt = 14.58 kips
Ri vector at Beam = <-14.37, 2.47>
Lcsbm at Beam spacing = 2.19 in.
Lcebm at Beam edge = 7.20 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 2.19 * (0.41/1) * 65.00 = 53.11 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 7.20 * (0.41/1) * 65.00 = 174.89 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 0.75 * (0.41/1) * 65.00 = 36.42 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(53.11, 174.89, 36.42) = 36.42 kips/bolt
Ri vector at Shear Plate = <14.37, -2.47>
Lcsshpl at Shear Plate spacing = 2.00 in.
Lceshpl at Shear Plate edge = 4.06 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 2.00 * 0.75 * 65.00 = 87.75 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 4.06 * 0.75 * 65.00 = 178.08 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 0.75 * 0.75 * 65.00 = 65.81 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(87.75, 178.08, 65.81) = 65.81 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(36.42, 65.81) = 36.42 kips/bolt
Bolt Shear Demand to Bearing ratio = 36.42 / 14.58 = 2.50
At Row 4, At Column 4:
Ribolt = 15.56 kips
Ri vector at Beam = <-11.99, -9.92>
Lcsbm at Beam spacing = 3.12 in.
Lcebm at Beam edge = 9.31 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 3.12 * (0.41/1) * 65.00 = 75.64 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 9.31 * (0.41/1) * 65.00 = 226.14 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 0.75 * (0.41/1) * 65.00 = 36.42 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(75.64, 226.14, 36.42) = 36.42 kips/bolt
Ri vector at Shear Plate = <11.99, 9.92>
Lcsshpl at Shear Plate spacing = 3.05 in.
Lceshpl at Shear Plate edge = 1.31 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 3.05 * 0.75 * 65.00 = 133.81 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 1.31 * 0.75 * 65.00 = 57.50 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 0.75 * 0.75 * 65.00 = 65.81 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(133.81, 57.50, 65.81) = 57.50 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(36.42, 57.50) = 36.42 kips/bolt
Bolt Shear Demand to Bearing ratio = 36.42 / 15.56 = 2.34
At Row 5, At Column 1:
Ribolt = 17.56 kips
Ri vector at Beam = <-11.90, 12.92>
Lcsbm at Beam spacing = 3.12 in.
Lcebm at Beam edge = 1.81 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 3.12 * (0.41/1) * 65.00 = 75.64 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 1.81 * (0.41/1) * 65.00 = 43.90 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 0.75 * (0.41/1) * 65.00 = 36.42 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(75.64, 43.90, 36.42) = 36.42 kips/bolt
Ri vector at Shear Plate = <11.90, -12.92>
Lcsshpl at Shear Plate spacing = 3.05 in.
Lceshpl at Shear Plate edge = 1.15 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 3.05 * 0.75 * 65.00 = 133.81 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 1.15 * 0.75 * 65.00 = 50.33 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 0.75 * 0.75 * 65.00 = 65.81 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(133.81, 50.33, 65.81) = 50.33 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(36.42, 50.33) = 36.42 kips/bolt
Bolt Shear Demand to Bearing ratio = 36.42 / 17.56 = 2.07
At Row 5, At Column 2:
Ribolt = 17.20 kips
Ri vector at Beam = <-14.84, 8.70>
Lcsbm at Beam spacing = 3.12 in.
Lcebm at Beam edge = 4.81 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 3.12 * (0.41/1) * 65.00 = 75.64 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 4.81 * (0.41/1) * 65.00 = 116.76 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 0.75 * (0.41/1) * 65.00 = 36.42 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(75.64, 116.76, 36.42) = 36.42 kips/bolt
Ri vector at Shear Plate = <14.84, -8.70>
Lcsshpl at Shear Plate spacing = 3.05 in.
Lceshpl at Shear Plate edge = 1.89 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 3.05 * 0.75 * 65.00 = 133.81 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 1.89 * 0.75 * 65.00 = 83.06 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 0.75 * 0.75 * 65.00 = 65.81 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(133.81, 83.06, 65.81) = 65.81 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(36.42, 65.81) = 36.42 kips/bolt
Bolt Shear Demand to Bearing ratio = 36.42 / 17.20 = 2.12
At Row 5, At Column 3:
Ribolt = 16.89 kips
Ri vector at Beam = <-16.83, 1.45>
Lcsbm at Beam spacing = 2.19 in.
Lcebm at Beam edge = 7.12 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 2.19 * (0.41/1) * 65.00 = 53.11 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 7.12 * (0.41/1) * 65.00 = 172.89 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 0.75 * (0.41/1) * 65.00 = 36.42 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(53.11, 172.89, 36.42) = 36.42 kips/bolt
Ri vector at Shear Plate = <16.83, -1.45>
Lcsshpl at Shear Plate spacing = 2.00 in.
Lceshpl at Shear Plate edge = 4.01 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 2.00 * 0.75 * 65.00 = 87.75 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 4.01 * 0.75 * 65.00 = 176.15 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 0.75 * 0.75 * 65.00 = 65.81 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(87.75, 176.15, 65.81) = 65.81 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(36.42, 65.81) = 36.42 kips/bolt
Bolt Shear Demand to Bearing ratio = 36.42 / 16.89 = 2.16
At Row 5, At Column 4:
Ribolt = 17.06 kips
Ri vector at Beam = <-15.77, -6.53>
Lcsbm at Beam spacing = 3.12 in.
Lcebm at Beam edge = 7.96 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 3.12 * (0.41/1) * 65.00 = 75.64 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 7.96 * (0.41/1) * 65.00 = 193.22 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 0.75 * (0.41/1) * 65.00 = 36.42 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(75.64, 193.22, 36.42) = 36.42 kips/bolt
Ri vector at Shear Plate = <15.77, 6.53>
Lcsshpl at Shear Plate spacing = 3.05 in.
Lceshpl at Shear Plate edge = 1.08 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 3.05 * 0.75 * 65.00 = 133.81 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 1.08 * 0.75 * 65.00 = 47.49 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 0.75 * 0.75 * 65.00 = 65.81 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(133.81, 47.49, 65.81) = 47.49 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(36.42, 47.49) = 36.42 kips/bolt
Bolt Shear Demand to Bearing ratio = 36.42 / 17.06 = 2.13
Min Bolt Shear Demand to Bearing ratio Beam and Shear Plate for vertical shear only
= min(1.00, 2.07, 2.12, 2.16, 2.13, 2.11, 2.25, 2.50, 2.34, 2.13,
2.40, 5.23, 2.66, 2.11, 2.25, 2.50, 2.34, 2.07, 2.12, 2.16,
2.13) = 1.00
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 = 1.00 * 99.59 = 99.59 kips
Rbv = 99.59 kips >= Reaction V = 85.50 kips (OK) |