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| Summary Reports: | Job Standard Summary | Job Sample Calcs Report | B+Op Comparison Report Job Preferences Report | No Connections Summary | No Connections Detailed | No Connections Reference Map | |||||||||
| Shear Plate Reports: | Specs | Strengths (Shear Only Connections) | Strengths (Shear & Axial Connections) | Welds | Doublers | |||||
| Single Angle Reports: | Specs | Strengths (Shear & Axial) | Welds | Doublers | ||||||
| Double Angle Reports: | Support Side Specs | Beam Side Specs | Strengths (Shear & Axial) | Welds | Doublers | |||||
| End Plate Reports: | Specs | Strengths (Shear & Axial) | Welds | |||||||
| Moment Reports: | Specs | Support Strengths | Support Reinforcement Strengths | Moment Plate Strengths | Welds | |||||
| Moment Group Reports: | Doubler Plate Specs | Doubler Plate Welds | Stiffener / Moment Plate Specs | Stiffener / Moment Plate Welds | ||||||
| Connection Number: |
bb.s.s.00080.00238 |
| Main Calcs: |
SHEAR PLATE CONNECTION SUMMARY Filler Beam profile: W21X44 Support Girder profile: W21X68 Slope: 0 deg. Skew: 68.1 Vertical Offset: -0.5 Horizontal Offset: 0.0112 Span: 40.9 ft. Reaction, V: 42 kips Shear Capacity, Rn: 42 kips Design/Reference according to AISC 14th Ed. - ASD Shear Plate: Conventional Configuration Beam material grade: A992 Support material grade: A992 Plate material grade: A36 Weld grade: E70 Shear Plate Size: 4.500 in. x 11.500 in. x 0.375 in. Configuration Geometry: Welds at shear plate to support: 4/16 FILLET, 7/16 FILLET Bolt: 4 rows x 1 columns 0.75 in. Diameter A325N_TC bolts Vertical spacing: 3 in. Horizontal spacing: 3 in. Shear plate edge setback = 0.938 in. Beam centerline setback = 1.16 in. Edge distance at vertical edge of plate: 1.5 in. Edge distance at top edge of plate: 1.25 in. Edge distance at bottom edge of plate: 1.25 in. Edge distance at vertical edge of beam: 2.06 in. Edge distance at top edge of beam: 2 in. Edge distance at bottom edge of beam: 7.45 in. Top cope depth: 1 in. Top cope length: 4 in. Bottom cope depth: 1.25 in. Bottom cope length: 4 in. Horizontal distance to first hole: 3 in. Down distance from top of filler beam flange: 3 in. Holes in beam web: STD diameter = 0.812 in. Holes in shear plate: SSL diameter = 0.812 in., slot width = 1 in. |
| Bolt Strength Calcs: |
BOLT STRENGTH BEAM SIDE: Bolt Strength: Using Instantaneous Center Of Rotation Method (AISC 7-1) ex = 1.575 in. Angle = 0.000 deg. C = 3.522 Using Table 7-1 to determine (1/omega) * rn: Rn = (1/omega) * rn * C = 11.93 * 3.52 = 42.01 kips |
| Bolt Bearing Calcs: |
BOLT BEARING AT BEAM SIDE: Vertical Shear Only Load Case: ICR cordinate relative to CG = (6.71, 0.00) At Row 1, At Column 1: Ri1 = 11.71 kips Ri vector at Beam = <6.52, 9.72> Lcsbm at Beam spacing = na Lcebm at Beam edge = 2.00 in. 1/omegaRnsbm at Beam spacing = 1/omega * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * na * (0.35/1) * 65.00 = na 1/omegaRnebm at Beam edge = 1/omega * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.00 * (0.35/1) * 65.00 = 27.32 kips/bolt 1/omegaRndbm on Beam at Bolt Diameter = 1/omega * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.75 * (0.35/1) * 65.00 = 20.47 kips/bolt Beam bearing capacity, 1/omegaRnbm = min(1/omegaRnsbm,1/omegaRnebm,1/omegaRndbm) = min(na, 27.32, 20.47) = 20.47 kips/bolt Ri vector at Shear Plate = <-6.52, -9.72> Lcsshpl at Shear Plate spacing = na Lceshpl at Shear Plate edge = 4.90 in. 1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * na * 0.38 * 58.00 = na 1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 4.90 * 0.38 * 58.00 = 63.91 kips/bolt 1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 0.75 * 0.38 * 58.00 = 19.57 kips/bolt Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(na, 63.91, 19.57) = 19.57 kips/bolt 1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(20.475, 19.575) = 19.57 kips/bolt Bolt Shear Demand to Bearing ratio = 19.57 / 11.71 = 1.67 At Row 2, At Column 1: Ri1 = 11.56 kips Ri vector at Beam = <2.52, 11.28> Lcsbm at Beam spacing = 2.19 in. Lcebm at Beam edge = 4.72 in. 1/omegaRnsbm at Beam spacing = 1/omega * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.19 * (0.35/1) * 65.00 = 29.86 kips/bolt 1/omegaRnebm at Beam edge = 1/omega * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 4.72 * (0.35/1) * 65.00 = 64.39 kips/bolt 1/omegaRndbm on Beam at Bolt Diameter = 1/omega * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.75 * (0.35/1) * 65.00 = 20.47 kips/bolt Beam bearing capacity, 1/omegaRnbm = min(1/omegaRnsbm,1/omegaRnebm,1/omegaRndbm) = min(29.86, 64.39, 20.47) = 20.47 kips/bolt Ri vector at Shear Plate = <-2.52, -11.28> Lcsshpl at Shear Plate spacing = 2.19 in. Lceshpl at Shear Plate edge = 7.01 in. 1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.19 * 0.38 * 58.00 = 28.55 kips/bolt 1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 7.01 * 0.38 * 58.00 = 91.51 kips/bolt 1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 0.75 * 0.38 * 58.00 = 19.57 kips/bolt Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(28.55, 91.51, 19.57) = 19.57 kips/bolt 1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(20.475, 19.575) = 19.57 kips/bolt Bolt Shear Demand to Bearing ratio = 19.57 / 11.56 = 1.69 At Row 3, At Column 1: Ri1 = 11.56 kips Ri vector at Beam = <-2.52, 11.28> Lcsbm at Beam spacing = 2.19 in. Lcebm at Beam edge = 7.79 in. 1/omegaRnsbm at Beam spacing = 1/omega * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.19 * (0.35/1) * 65.00 = 29.86 kips/bolt 1/omegaRnebm at Beam edge = 1/omega * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 7.79 * (0.35/1) * 65.00 = 106.35 kips/bolt 1/omegaRndbm on Beam at Bolt Diameter = 1/omega * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.75 * (0.35/1) * 65.00 = 20.47 kips/bolt Beam bearing capacity, 1/omegaRnbm = min(1/omegaRnsbm,1/omegaRnebm,1/omegaRndbm) = min(29.86, 106.35, 20.47) = 20.47 kips/bolt Ri vector at Shear Plate = <2.52, -11.28> Lcsshpl at Shear Plate spacing = 2.19 in. Lceshpl at Shear Plate edge = 3.94 in. 1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.19 * 0.38 * 58.00 = 28.55 kips/bolt 1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 3.94 * 0.38 * 58.00 = 51.40 kips/bolt 1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 0.75 * 0.38 * 58.00 = 19.57 kips/bolt Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(28.55, 51.40, 19.57) = 19.57 kips/bolt 1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(20.475, 19.575) = 19.57 kips/bolt Bolt Shear Demand to Bearing ratio = 19.57 / 11.56 = 1.69 At Row 4, At Column 1: Ri1 = 11.71 kips Ri vector at Beam = <-6.52, 9.72> Lcsbm at Beam spacing = na Lcebm at Beam edge = 3.30 in. 1/omegaRnsbm at Beam spacing = 1/omega * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * na * (0.35/1) * 65.00 = na 1/omegaRnebm at Beam edge = 1/omega * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 3.30 * (0.35/1) * 65.00 = 45.00 kips/bolt 1/omegaRndbm on Beam at Bolt Diameter = 1/omega * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.75 * (0.35/1) * 65.00 = 20.47 kips/bolt Beam bearing capacity, 1/omegaRnbm = min(1/omegaRnsbm,1/omegaRnebm,1/omegaRndbm) = min(na, 45.00, 20.47) = 20.47 kips/bolt Ri vector at Shear Plate = <6.52, -9.72> Lcsshpl at Shear Plate spacing = na Lceshpl at Shear Plate edge = 1.02 in. 1/omegaRnsshpl at Shear Plate spacing = 1/omega * hf1 * Lcs * t * Fu = 0.50 * 1.20 * na * 0.38 * 58.00 = na 1/omegaRneshpl at Shear Plate edge = 1/omega * hf1 * Lce * t * Fu = 0.50 * 1.20 * 1.02 * 0.38 * 58.00 = 13.26 kips/bolt 1/omegaRndshpl on Shear Plate at Bolt Diameter = 1/omega * hf2 * db * t * Fu = 0.50 * 2.40 * 0.75 * 0.38 * 58.00 = 19.57 kips/bolt Shear Plate bearing capacity, 1/omegaRnshpl = min(1/omegaRnsshpl,1/omegaRneshpl,1/omegaRndshpl) = min(na, 13.26, 19.57) = 13.26 kips/bolt 1/omegaRn = min(1/omegaRnbm, 1/omegaRnshpl) = min(20.475, 13.258) = 13.26 kips/bolt Bolt Shear Demand to Bearing ratio = 13.26 / 11.71 = 1.13 Min Bolt Shear Demand to Bearing ratio for vertical shear only = min(1.0, 1.672, 1.69331, 1.69331, 1.13246) = 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 * 42.01 = 42.01 kips |
| Beam Strength Calcs: |
Web Depth = d - [Top Cope Depth] - [Bottom Cope Depth] = 20.7 - 1 - 1.25 = 18.45 in.
Gross Area (Shear) = [Web Depth] * tw = 18.45 * 0.35 = 6.46 in^2
Net Shear Area (Shear) = ([Web Depth] - ([# rows] * [Diameter + 0.0625])) * tw
= (18.45 - (4 * 0.88)) * 0.35 = 5.23 in^2
Using Eq.J4-3:
Shear Yielding = (1/omega) * 0.6 * Fybeam * [Gross Area] = 0.67 * 0.6 * 50.00 * 6.46 = 129.15 kips
Using Eq.J4-4:
Shear Rupture = (1/omega) * 0.6 * Fubeam * [Net Area] = 0.50 * 0.6 * 65.00 * 5.23 = 102.03 kips
Block Shear
Using Eq.J4-5:
Block Shear = {(1/omega) * ((0.6 * Fu * Anv) + (Ubs * Fu * Ant))} <= {(1/omega) * ((0.6 * Fy * Agv) + (Ubs * Fu * Ant))}
Block Shear (1)
Gross Shear Length = [edge dist. at beam edge] + ([# rows - 1] * [spacing]) = 2 + 9 = 11.00 in.
Net Shear Length = Gross Shear Length - (# rows - 0.5) * (hole size + 0.0625) = 11 - (4 - 0.5) * 0.875 = 7.94 in.
Gross Tension Length = [edge dist. at beam edge] + ([# cols - 1] * [spacing]) = 2.06 + (1 - 1) * 3 = 2.06 in.
Net Tension Length = Gross Tension Length - (# cols - 0.5) * (hole size + 0.0625) = 2.06 - (1 - 0.5) * 0.875 = 1.62 in.
1. (1/omega) * [material thickness] * ((0.60 * Fubeam* [net shear length]) + (Ubs * Fubeam * [net tension length]))
= 0.50 * 0.35 * ((0.60 * 65.00 * 7.94) + (1.00 * 65.00 * 1.62)) = 72.66 kips
2. (1/omega) * [material thickness] * ((0.60 * Fybeam * [gross shear length]) + (Ubs * Fubeam * [net tension length]))
= 0.50 * 0.35 * ((0.60 * 50.00 * 11.00) + (1.00 * 65.00 * 1.62)) = 76.23 kips
Block Shear = 72.66 kips
Block Shear (1) Total = Block Shear (1) = 72.66 kips
Buckling and Flexure at Longest Cope (Top and Bottom Copes at Section)
Eccentricity at Section, e = 5.24 in.
If beam is coped at both top and bottom flanges,
Using Eq. 9-14 through 9-18, Fcr = Fy * Q
tw = 0.35 in.
ho = 18.45 in.
c = 4.00 in.
lambda = (ho * Fy ^ 0.5) / ( 10 * tw * ( 475.00 + 280.00 * (ho / c)^2 ) ^0.5 ) =
= 18.45 * 50.00^0.5 / (10 * 0.35 * (475.00 + 280.00 * (18.45/4.00)^2 )^0.5) = 0.46
When lambda <= 0.70, Q=1
Q = 1.00
Fcrmin =1/omega * Fcr = 0.60 * 50.00 * 1.00 = 30.00 ksi
Snet1 (bolt holes not applicable) = 19.86 in^3
Snet2 (bolt holes applicable) = 19.86 in^3
Znet = 29.79 in^3
Using Eq. 9-6
Buckling = Fcr * Snet1 / e = 30.00 * 19.86 / 5.24 = 113.58 kips
Using Eq. 9-19
Flexural Yielding = (1/omega) * Fy * Snet1 / e = 0.60 * 50.00 * 19.86 / 5.24 = 113.58 kips
Using Eq. 9-4
Flexural Rupture = (1/omega) * Fu * Znet / e = 0.50 * 65.00 * 29.79 / 5.24 = 184.57 kips
Buckling and Flexure at Furthest Bolt Line within Cope (Top and Bottom Copes at Section)
Eccentricity at Section, e = 3.31 in.
If beam is coped at both top and bottom flanges,
Using Eq. 9-14 through 9-18, Fcr = Fy * Q
tw = 0.35 in.
ho = 18.45 in.
c = 4.00 in.
lambda = (ho * Fy ^ 0.5) / ( 10 * tw * ( 475.00 + 280.00 * (ho / c)^2 ) ^0.5 ) =
= 18.45 * 50.00^0.5 / (10 * 0.35 * (475.00 + 280.00 * (18.45/4.00)^2 )^0.5) = 0.46
When lambda <= 0.70, Q=1
Q = 1.00
Fcrmin =1/omega * Fcr = 0.60 * 50.00 * 1.00 = 30.00 ksi
Snet1 (bolt holes not applicable) = 19.86 in^3
Snet2 (bolt holes applicable) = 16.03 in^3
Znet = 25.09 in^3
Using Eq. 9-6
Buckling = Fcr * Snet1 / e = 30.00 * 19.86 / 3.31 = 180.13 kips
Using Eq. 9-19
Flexural Yielding = (1/omega) * Fy * Snet1 / e = 0.60 * 50.00 * 19.86 / 3.31 = 180.13 kips
Using Eq. 9-4
Flexural Rupture = (1/omega) * Fu * Znet / e = 0.50 * 65.00 * 25.09 / 3.31 = 246.59 kips
Section Bending Strength Calculations Summary:
Coped Beam Buckling and Flexure at Longest Cope (Top and Bottom Copes at Section)
Buckling : 113.58 >= 42.00 kips (OK)
Flexural Yielding : 113.58 >= 42.00 kips (OK)
Flexural Rupture : 184.57 >= 42.00 kips (OK)
Coped Beam Buckling and Flexure at Furthest Bolt Line within Cope (Top and Bottom Copes at Section)
Buckling : 180.13 >= 42.00 kips (OK)
Flexural Yielding : 180.13 >= 42.00 kips (OK)
Flexural Rupture : 246.59 >= 42.00 kips (OK) |
| Shear Plate Calcs: |
Gross Area = 0.38 * 11.50 = 4.31 in^2
Net Area = (11.50 - (4 *(0.81 + 1/16))) * 0.38 = 3.00 in^2
Using Eq.J4-3:
Shear Yielding = (1/omega) * 0.6 * Fypl * [Gross Area] = 0.67 * 0.6 * 36.00 * 4.31 = 62.10 kips
Using Eq.J4-4:
Shear Rupture = (1/omega) * 0.6 * Fupl * [Net Area] = 0.50 * 0.6 * 58.00 * 3.00 = 52.20 kips
Block Shear
Using Eq.J4-5:
Block Shear = {(1/omega) * ((0.6 * Fu * Anv) + (Ubs * Fu * Ant))} <= {(1/omega) * ((0.6 * Fy * Agv) + (Ubs * Fu * Ant))}
Block 1 (Shear):
Gross Shear Length = (11.5 - 1.25) = 10.25 in.
Net Shear Length = 10.2 - (3.5 * (0.812 + 0.0625)) = 7.19 in.
Gross Tension Length = (0 + 1.5) = 1.50 in.
Net Tension Length = 1.5 - (0.5 * (1 + 0.0625)) = 0.97 in.
1. (1/omega) * [material thickness] * ((0.60 * Fupl* [net shear length]) + (Ubs * Fupl * [net tension length]))
= 0.50 * 0.38 * ((0.60 * 58.00 * 7.19) + (1.00 * 58.00 * 0.97)) = 57.43 kips
2. (1/omega) * [material thickness] * ((0.60 * Fypl * [gross shear length]) + (Ubs * Fupl * [net tension length]))
= 0.50 * 0.38 * ((0.60 * 36.00 * 10.25) + (1.00 * 58.00 * 0.97)) = 52.05 kips
Block Shear = 52.05 kips
Interaction Check of Flexural Yielding, Per AISC 10-5:
Eccentricity due to Conventional Config. (e = a/2), e = 1.58 in.
Zgross = 12.40
Znet = 8.46
Mr = Vr * e = 42.00 * 1.58 = 66.17 kips-in
Mc = 1/omega * Mn = 1/omega * Fy * Zgross = 0.60 * 36.00 * 12.40 = 267.81 kips-in
Vr = 42.00 kips
Vc = 1/omega * Vn = 1/omega * 0.60 * Fy * Ag = 0.67 * 0.60 * 36.00 * 4.31 = 62.10 kips
Interaction due to moment and shear, (Vr/Vc)^2 + (Mr/Mc)^2 <= 1.0
(Vr/Vc)^2 + (Mr/Mc)^2 = (42.00 / 62.10)^2 + (66.17 / 267.81)^2 = 0.52 <= 1 (OK)
Note: Mn <= 1.6My by inspection
MAXIMUM PLATE THICKNESS:
No of columns = 1
Distance cl top to cl bot bolts <= 12" (Equivalent depth of n = 1 to 5 at 3", AISC Table 10-9)
Slot shape = SSL
tmax = Unlimited
Maximum Plate Thickness is Not a Limiting Criteria. |
| Weld Calcs: |
WELD: Weld Requirements: At shear only case: Weld Length for shear, Lv = 11.500 in. Shear Load per inch per weld, fv = R/Lv/2 = 42.000 / 11.500 / 2 = 1.826 kips/in/ weld theta = 0 deg. cPhi = 1.0 + 0.5 * sin(0)^1.5 = 1.000 Weld Coefficient = 0.6 * 70.000 * 1.000 * 1.000 * (2^0.5/2)*(1/16) = 1.856 Required weld size, Dv = fv/ (1/omega * coeff) = 1.826 / (0.500 * 1.856) = 1.968/16 Minimum fillet weld size : At shear only load case = 0.12 in. per Table J2.4 = 0.19 in. 5/8(tp) = 0.23 in. user preference = 0.25 in. Dmax1 (using eqn 9-3) = tshpl * Fushpl / ( Fexx * C1 * 0.088) = 0.375 * 58.000 / ( 70.000 * 1.000 * 0.088 ) = 3.515 Dmax2 (using eqn 9-3) = twsupport * Fusupport / ( Fexx * C1 * 0.088 ) = 0.430 * 65.000 / ( 70.000 * 1.000 * 0.088 ) = 4.517 Dmax3 = project max fillet weld = 12.000 Dmax=min(Dmax1, Dmax2, Dmax3) = min(3.515, 4.517, 12.000) = 3.515 Dihedral Angle, DA = 68.10 deg. Gap on Obtuse Angle Side = 0.14 in. Use weld size Acute Side D1 = 4.00 Obtuse Side D2 = 7.00 Weld Strength : Vertical weld capacity during shear only load, 1/omega * Rnv1 = 0.50 * 1.86 * 11.50 * (3.52 + 3.52) = 75.04 kips Check Effective Throat: Acute Side Effect throat = (D1/sin(DA)) * cos(DA/2) = (0.25/ sin( 68.10)) * cos( 34.05) = 0.22 in. Obtuse Side Effect throat = ((D2/sin(DA)-tshpl/tan(DA))*sin((180-(180-DA))/2))= ((0.44 / sin(68.10) -0.38 / tan(68.10)) * sin((180 - (180 - 68.10)) / 2)) = 0.18 in. Total Effective Throat = 0.22 + 0.18 = 0.40 in. Total Effective Throat of Square Case = D1 * 2^0.5 = 0.25 * 2^0.5 = 0.35 in. 0.35 in. <= 0.40 in. (OK) |