BOLT BEARING AT BEAM AND SHEAR PLATE SIDE
Vertical Shear Only Load Case:
ICR cordinate relative to CG = (1.40, -0.00)
At Row 1, At Column 1:
Ribolt = 39.32 kips
Ri vector at Beam = <35.41, 17.09>
Lcsbm at Beam spacing = 2.76 in.
Lcebm at Beam edge = 6.37 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 2.76 * (0.41/1) * 65.00 = 67.06 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 6.37 * (0.41/1) * 65.00 = 154.67 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 1.00 * (0.41/1) * 65.00 = 48.56 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(67.06, 154.67, 48.56) = 48.56 kips/bolt
Ri vector at Shear Plate = <-35.41, -17.09>
Lcsshpl at Shear Plate spacing = 2.67 in.
Lceshpl at Shear Plate edge = 12.32 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 2.67 * 0.75 * 65.00 = 117.35 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 12.32 * 0.75 * 65.00 = 540.48 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 1.00 * 0.75 * 65.00 = 87.75 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(117.35, 540.48, 87.75) = 87.75 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(48.56, 87.75) = 48.56 kips/bolt
Bolt Shear Demand to Bearing ratio = 48.56 / 39.32 = 1.24
At Row 1, At Column 2:
Ribolt = 39.01 kips
Ri vector at Beam = <39.01, -0.68>
Lcsbm at Beam spacing = 1.94 in.
Lcebm at Beam edge = 875.46 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 1.94 * (0.41/1) * 65.00 = 47.04 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 875.46 * (0.41/1) * 65.00 = 21254.61 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 1.00 * (0.41/1) * 65.00 = 48.56 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(47.04, 21254.61, 48.56) = 47.04 kips/bolt
Ri vector at Shear Plate = <-39.01, 0.68>
Lcsshpl at Shear Plate spacing = 1.69 in.
Lceshpl at Shear Plate edge = 14.10 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 1.69 * 0.75 * 65.00 = 74.04 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 14.10 * 0.75 * 65.00 = 618.47 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 1.00 * 0.75 * 65.00 = 87.75 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(74.04, 618.47, 87.75) = 74.04 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(47.04, 74.04) = 47.04 kips/bolt
Bolt Shear Demand to Bearing ratio = 47.04 / 39.01 = 1.21
At Row 2, At Column 1:
Ribolt = 37.36 kips
Ri vector at Beam = <26.88, 25.95>
Lcsbm at Beam spacing = 2.76 in.
Lcebm at Beam edge = 8.11 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 2.76 * (0.41/1) * 65.00 = 67.06 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 8.11 * (0.41/1) * 65.00 = 196.85 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 1.00 * (0.41/1) * 65.00 = 48.56 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(67.06, 196.85, 48.56) = 48.56 kips/bolt
Ri vector at Shear Plate = <-26.88, -25.95>
Lcsshpl at Shear Plate spacing = 2.67 in.
Lceshpl at Shear Plate edge = 14.35 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 2.67 * 0.75 * 65.00 = 117.35 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 14.35 * 0.75 * 65.00 = 629.78 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 1.00 * 0.75 * 65.00 = 87.75 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(117.35, 629.78, 87.75) = 87.75 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(48.56, 87.75) = 48.56 kips/bolt
Bolt Shear Demand to Bearing ratio = 48.56 / 37.36 = 1.30
At Row 2, At Column 2:
Ribolt = 35.04 kips
Ri vector at Beam = <35.01, -1.22>
Lcsbm at Beam spacing = 1.94 in.
Lcebm at Beam edge = 351.18 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 1.94 * (0.41/1) * 65.00 = 47.04 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 351.18 * (0.41/1) * 65.00 = 8525.94 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 1.00 * (0.41/1) * 65.00 = 48.56 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(47.04, 8525.94, 48.56) = 47.04 kips/bolt
Ri vector at Shear Plate = <-35.01, 1.22>
Lcsshpl at Shear Plate spacing = 1.69 in.
Lceshpl at Shear Plate edge = 14.10 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 1.69 * 0.75 * 65.00 = 74.04 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 14.10 * 0.75 * 65.00 = 618.75 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 1.00 * 0.75 * 65.00 = 87.75 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(74.04, 618.75, 87.75) = 74.04 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(47.04, 74.04) = 47.04 kips/bolt
Bolt Shear Demand to Bearing ratio = 47.04 / 35.04 = 1.34
At Row 3, At Column 1:
Ribolt = 34.74 kips
Ri vector at Beam = <0.00, 34.74>
Lcsbm at Beam spacing = 1.94 in.
Lcebm at Beam edge = 8.47 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 1.94 * (0.41/1) * 65.00 = 47.04 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 8.47 * (0.41/1) * 65.00 = 205.61 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 1.00 * (0.41/1) * 65.00 = 48.56 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(47.04, 205.61, 48.56) = 47.04 kips/bolt
Ri vector at Shear Plate = <-0.00, -34.74>
Lcsshpl at Shear Plate spacing = 1.94 in.
Lceshpl at Shear Plate edge = 6.97 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 1.94 * 0.75 * 65.00 = 85.01 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 6.97 * 0.75 * 65.00 = 305.76 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 1.00 * 0.75 * 65.00 = 87.75 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(85.01, 305.76, 87.75) = 85.01 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(47.04, 85.01) = 47.04 kips/bolt
Bolt Shear Demand to Bearing ratio = 47.04 / 34.74 = 1.35
At Row 3, At Column 2:
Ribolt = 7.86 kips
Ri vector at Beam = <0.00, -7.86>
Lcsbm at Beam spacing = 1.94 in.
Lcebm at Beam edge = 8.67 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 1.94 * (0.41/1) * 65.00 = 47.04 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 8.67 * (0.41/1) * 65.00 = 210.46 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 1.00 * (0.41/1) * 65.00 = 48.56 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(47.04, 210.46, 48.56) = 47.04 kips/bolt
Ri vector at Shear Plate = <-0.00, 7.86>
Lcsshpl at Shear Plate spacing = 1.94 in.
Lceshpl at Shear Plate edge = 6.97 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 1.94 * 0.75 * 65.00 = 85.01 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 6.97 * 0.75 * 65.00 = 305.76 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 1.00 * 0.75 * 65.00 = 87.75 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(85.01, 305.76, 87.75) = 85.01 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(47.04, 85.01) = 47.04 kips/bolt
Bolt Shear Demand to Bearing ratio = 47.04 / 7.86 = 5.99
At Row 4, At Column 1:
Ribolt = 37.36 kips
Ri vector at Beam = <-26.88, 25.95>
Lcsbm at Beam spacing = 2.76 in.
Lcebm at Beam edge = 2.25 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 2.76 * (0.41/1) * 65.00 = 67.06 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 2.25 * (0.41/1) * 65.00 = 54.59 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 1.00 * (0.41/1) * 65.00 = 48.56 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(67.06, 54.59, 48.56) = 48.56 kips/bolt
Ri vector at Shear Plate = <26.88, -25.95>
Lcsshpl at Shear Plate spacing = 2.67 in.
Lceshpl at Shear Plate edge = 5.71 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 2.67 * 0.75 * 65.00 = 117.35 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 5.71 * 0.75 * 65.00 = 250.73 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 1.00 * 0.75 * 65.00 = 87.75 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(117.35, 250.73, 87.75) = 87.75 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(48.56, 87.75) = 48.56 kips/bolt
Bolt Shear Demand to Bearing ratio = 48.56 / 37.36 = 1.30
At Row 4, At Column 2:
Ribolt = 35.04 kips
Ri vector at Beam = <-35.01, -1.22>
Lcsbm at Beam spacing = 1.94 in.
Lcebm at Beam edge = 4.47 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 1.94 * (0.41/1) * 65.00 = 47.04 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 4.47 * (0.41/1) * 65.00 = 108.57 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 1.00 * (0.41/1) * 65.00 = 48.56 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(47.04, 108.57, 48.56) = 47.04 kips/bolt
Ri vector at Shear Plate = <35.01, 1.22>
Lcsshpl at Shear Plate spacing = 1.69 in.
Lceshpl at Shear Plate edge = 1.34 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 1.69 * 0.75 * 65.00 = 74.04 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 1.34 * 0.75 * 65.00 = 58.99 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 1.00 * 0.75 * 65.00 = 87.75 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(74.04, 58.99, 87.75) = 58.99 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(47.04, 58.99) = 47.04 kips/bolt
Bolt Shear Demand to Bearing ratio = 47.04 / 35.04 = 1.34
At Row 5, At Column 1:
Ribolt = 39.32 kips
Ri vector at Beam = <-35.41, 17.09>
Lcsbm at Beam spacing = 2.76 in.
Lcebm at Beam edge = 1.69 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 2.76 * (0.41/1) * 65.00 = 67.06 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 1.69 * (0.41/1) * 65.00 = 41.02 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 1.00 * (0.41/1) * 65.00 = 48.56 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(67.06, 41.02, 48.56) = 41.02 kips/bolt
Ri vector at Shear Plate = <35.41, -17.09>
Lcsshpl at Shear Plate spacing = 2.67 in.
Lceshpl at Shear Plate edge = 2.72 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 2.67 * 0.75 * 65.00 = 117.35 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 2.72 * 0.75 * 65.00 = 119.44 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 1.00 * 0.75 * 65.00 = 87.75 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(117.35, 119.44, 87.75) = 87.75 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(41.02, 87.75) = 41.02 kips/bolt
Bolt Shear Demand to Bearing ratio = 41.02 / 39.32 = 1.04
At Row 5, At Column 2:
Ribolt = 39.01 kips
Ri vector at Beam = <-39.01, -0.68>
Lcsbm at Beam spacing = 1.94 in.
Lcebm at Beam edge = 4.47 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 1.94 * (0.41/1) * 65.00 = 47.04 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 4.47 * (0.41/1) * 65.00 = 108.51 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 1.00 * (0.41/1) * 65.00 = 48.56 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(47.04, 108.51, 48.56) = 47.04 kips/bolt
Ri vector at Shear Plate = <39.01, 0.68>
Lcsshpl at Shear Plate spacing = 1.69 in.
Lceshpl at Shear Plate edge = 1.34 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 1.69 * 0.75 * 65.00 = 74.04 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 1.34 * 0.75 * 65.00 = 58.97 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 1.00 * 0.75 * 65.00 = 87.75 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(74.04, 58.97, 87.75) = 58.97 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(47.04, 58.97) = 47.04 kips/bolt
Bolt Shear Demand to Bearing ratio = 47.04 / 39.01 = 1.21
Min Bolt Shear Demand to Bearing ratio Beam and Shear Plate for vertical shear only
= min(1.00, 1.24, 1.21, 1.30, 1.34, 1.35, 5.99, 1.30, 1.34, 1.04,
1.21) = 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 * 109.17 = 109.17 kips
Rbv = 109.17 kips >= Reaction V = 85.50 kips (OK) |