4.1.5.SP Connection
4.1.5.SP Connection
4.1.5.SP Connection
Plate
Material A572 Gr 50
Tensile strength Fu = 44.8 kN/cm²
Yeild strength Fy = 34.5 kN/cm²
Beam, Girder
Material A572 Gr 50
Ultimate tensile strength Fu = 44.8 kN/cm²
Yeild strength Fy = 34.5 kN/cm²
Elastic module E= 20000 kN/cm²
III. DIMENSION
Beam section
Height h= 150 mm
Flange width bf = 49 mm
Web thickness tw = 6 mm
Flange thickness tf = 6 mm
Beam setback sb = 10 mm
Girder section
Flange width bf = 212 mm
Web thickness tw = 8 mm
Plate
Thickness tp = 6 mm
Height Lp = 220 mm
Bolt
Type M12
Bolt rows n= 2
Bolt columns nc = 1
Gage - transverse spacing g= 100 mm
Pitch - longitudinal spacing s= 100 mm
Vertical edge distance Lev = 60 mm
Horizontal edge distance Leh = 50 mm
Distance between weld and bolts a= 162 mm
Eccentric distance e= 162 mm
PROJECT CODE : 719002
Calculation Sheet for DOCUMENT NO. : CAL-1-004-C-0001
Dryer Offgas Cleaning System
DATE : 30/08/2023
- Main Structure
REV :1
SINGLE PLATE CONNECTION - J1, J2 TO BEAM
IV. CALCULATING
1. Plate (beam side)
Bolt shear
∅𝑅 = ∅𝐶𝐹 𝐴 = 61.07 kN AISC J3-1
Φ= 0.75
C= 2.00
Demand shear Va = 26.37 kN
Ratio demand/capacity D/C = 0.43 OK
Flexure yielding
𝑀 = ∅𝐹 𝑍 = 22.53 kNm
𝑡 𝐿
𝑍 = = 72600 mm3
4
Φ= 0.9
Demand moment 𝑀 = 𝑉𝑒 = 3.318894 kNm
Ratio demand/capacity D/C = 0.15 OK
Φ= 0.75
𝑟 = 1.2𝑙 𝑡𝐹 = 171.02 kN
𝑟 = 1.2𝑙 𝑡𝐹 = 277.50 kN
𝑟 ( ) = 2.4𝑑𝑡𝐹 = 77.44 kN
𝑙 = 𝐿 − 𝑑 /2 = 53.00 mm
𝑙 =𝑠−𝑑 = 86.00 mm
C= 2.00 Tables (7-1..14)
Demand shear Va = 20.49 kN
Ratio demand/capacity D/C = 0.18 OK
Shear yielding
∅𝑅 = ∅0.6𝐹 𝐴 = 273 kN AISC J4-3
Φ= 1
𝐴 =𝐿 𝑡 = 1320 mm² Sec. D3-1
Demand shear Va = 20.487 kN
Ratio demand/capacity D/C = 0.08 OK
Shear rupture
∅𝑅 = ∅0.6𝐹 𝐴 = 228.45 kN AISC J4-4
Φ= 0.75
𝐴 = [L − n( d + 1.6)]𝑡 = 1132.80 mm² Sec. J4-2
Demand shear Va = 20.487 kN
Ratio demand/capacity D/C = 0.09 OK
PROJECT CODE : 719002
Calculation Sheet for DOCUMENT NO. : CAL-1-004-C-0001
Dryer Offgas Cleaning System
DATE : 30/08/2023
- Main Structure
REV :1
SINGLE PLATE CONNECTION - J1, J2 TO BEAM
Block shear rupture
Flexure rupture
𝑡
𝑍 = [L − 𝑠 𝑛(𝑛 − 1)(d + 1.6)/𝐿 ] = 66223 mm3
4
Φ= 0.75
Demand moment 𝑀 =𝑉𝑎= 3.318894 kNm
Ratio demand/capacity D/C = 0.15 OK
Tension yielding
∅𝑅 = ∅𝐹 𝐴 = 410 kN AISC J4-1
Φ= 0.9
𝐴 =𝐿 𝑡 = 1320 mm²
Demand tensile load Pa = 26.37 kN
Ratio demand/capacity D/C = 0.06 OK
Tension rupture
∅𝑅 = ∅𝐹 𝐴 = 377.13 kN AISC J4-2
Φ= 0.75
𝐴 = [L − n( d + 1.6)]𝑡 = 1132.80 mm Sec. D3-2
𝐴 = min( 0.85𝐴 , 𝐴 ) = 1122.00 mm Sec. J4-1
Demand tensile load Pa = 26.37 kN
Ratio demand/capacity D/C = 0.07 OK
PROJECT CODE : 719002
Calculation Sheet for DOCUMENT NO. : CAL-1-004-C-0001
Dryer Offgas Cleaning System
DATE : 30/08/2023
- Main Structure
REV :1
SINGLE PLATE CONNECTION - J1, J2 TO BEAM
Tear out under axial load
2. Beam
Bolt bearing under shear load
Shear yielding
∅𝑅 = ∅0.6𝐹 𝐴 = 186.16 kN AISC J4-3
Φ= 1
𝐴 = ℎ𝑡 = 900 mm² Sec. D3-1
Demand shear Va = 20.487 kN
Ratio demand/capacity D/C = 0.11 OK
Shear rupture
∅𝑅 = ∅0.6𝐹 𝐴 = 143.75 kN
Φ= 0.75
𝐴 = [ℎ − n( d + 1.6)]𝑡 = 712.80 mm²
Demand shear Va = 20.487 kN
Ratio demand/capacity D/C = 0.14 OK
Ubs = 1.00
𝐴 = [(𝑛 − 1)𝑠 + 𝐿 − (𝑛 − 0.5)(𝑑 + 1.6)] t = 609.60 mm²
𝐴 = [𝐿 + (𝑛 − 1) g − (𝑛 − 0.5)(𝑑 + 1.6)]𝑡 = 253.20 mm²
𝐴 = [(𝑛 − 1)𝑠 + 𝐿]𝑡 = 750 mm²
Φ= 0.75
Demand shear Va = 20.487 kN
Ratio demand/capacity D/C = 0.10 OK
Plate
Material A572 Gr 50
Tensile strength Fu = 44.8 kN/cm²
Yeild strength Fy = 34.5 kN/cm²
Beam, Girder
Material A572 Gr 50
Ultimate tensile strength Fu = 44.8 kN/cm²
Yeild strength Fy = 34.5 kN/cm²
Elastic module E= 20000 kN/cm²
III. DIMENSION
Beam section
Height h= 388 mm
Flange width bf = 164 mm
Web thickness tw = 6 mm
Flange thickness tf = 8 mm
Beam setback sb = 10 mm
Girder section
Flange width bf = 212 mm
Web thickness tw = 8 mm
Plate
Thickness tp = 14 mm
Height Lp = 320 mm
Bolt
Type M20
Bolt rows n= 3
Bolt columns nc = 1
Gage - transverse spacing g= 100 mm
Pitch - longitudinal spacing s= 100 mm
Vertical edge distance Lev = 60 mm
Horizontal edge distance Leh = 50 mm
Distance between weld and bolts a= 162 mm
Eccentric distance e= 162 mm
PROJECT CODE : 719002
Calculation Sheet for DOCUMENT NO. : CAL-1-004-C-0001
Dryer Offgas Cleaning System
DATE : 30/08/2023
- Main Structure
REV :1
SINGLE PLATE CONNECTION - J3 TO BEAM
IV. CALCULATING
1. Plate (beam side)
Bolt shear
∅𝑅 = ∅𝐶𝐹 𝐴 = 254.47 kN AISC J3-1
Φ= 0.75
C= 3.00
Demand shear Va = 66.30 kN
Ratio demand/capacity D/C = 0.26 OK
Flexure yielding
𝑀 = ∅𝐹 𝑍 = 111.20 kNm
𝑡 𝐿
𝑍 = = 358400 mm3
4
Φ= 0.9
Demand moment 𝑀 = 𝑉𝑒 = 10.740924 kNm
Ratio demand/capacity D/C = 0.10 OK
Φ= 0.75
𝑟 = 1.2𝑙 𝑡𝐹 = 368.93 kN
𝑟 = 1.2𝑙 𝑡𝐹 = 587.27 kN
𝑟 ( ) = 2.4𝑑𝑡𝐹 = 301.16 kN
𝑙 = 𝐿 − 𝑑 /2 = 49.00 mm
𝑙 =𝑠−𝑑 = 78.00 mm
C= 3.00 Tables (7-1..14)
Demand shear Va = 66.30 kN
Ratio demand/capacity D/C = 0.10 OK
Shear yielding
∅𝑅 = ∅0.6𝐹 𝐴 = 927 kN AISC J4-3
Φ= 1
𝐴 =𝐿 𝑡 = 4480 mm² Sec. D3-1
Demand shear Va = 66.302 kN
Ratio demand/capacity D/C = 0.07 OK
Shear rupture
∅𝑅 = ∅0.6𝐹 𝐴 = 703.59 kN AISC J4-4
Φ= 0.75
𝐴 = [L − n( d + 1.6)]𝑡 = 3488.80 mm² Sec. J4-2
Demand shear Va = 66.302 kN
Ratio demand/capacity D/C = 0.09 OK
PROJECT CODE : 719002
Calculation Sheet for DOCUMENT NO. : CAL-1-004-C-0001
Dryer Offgas Cleaning System
DATE : 30/08/2023
- Main Structure
REV :1
SINGLE PLATE CONNECTION - J3 TO BEAM
Block shear rupture
Flexure rupture
𝑡
𝑍 = [L − 𝑠 𝑛(𝑛 − 1)(d + 1.6)/𝐿 ] = 296483 mm3
4
Φ= 0.75
Demand moment 𝑀 =𝑉𝑎= 10.740924 kNm
Ratio demand/capacity D/C = 0.11 OK
Tension yielding
∅𝑅 = ∅𝐹 𝐴 = 1390 kN AISC J4-1
Φ= 0.9
𝐴 =𝐿 𝑡 = 4480 mm²
Demand tensile load Pa = 22.39 kN
Ratio demand/capacity D/C = 0.02 OK
Tension rupture
∅𝑅 = ∅𝐹 𝐴 = 1172.66 kN AISC J4-2
Φ= 0.75
𝐴 = [L − n( d + 1.6)]𝑡 = 3488.80 mm Sec. D3-2
𝐴 = min( 0.85𝐴 , 𝐴 ) = 3488.80 mm Sec. J4-1
Demand tensile load Pa = 22.39 kN
Ratio demand/capacity D/C = 0.02 OK
PROJECT CODE : 719002
Calculation Sheet for DOCUMENT NO. : CAL-1-004-C-0001
Dryer Offgas Cleaning System
DATE : 30/08/2023
- Main Structure
REV :1
SINGLE PLATE CONNECTION - J3 TO BEAM
Tear out under axial load
2. Beam
Bolt bearing under shear load
Shear yielding
∅𝑅 = ∅0.6𝐹 𝐴 = 481.53 kN AISC J4-3
Φ= 1
𝐴 = ℎ𝑡 = 2328 mm² Sec. D3-1
Demand shear Va = 66.302 kN
Ratio demand/capacity D/C = 0.14 OK
Shear rupture
∅𝑅 = ∅0.6𝐹 𝐴 = 383.82 kN
Φ= 0.75
𝐴 = [ℎ − n( d + 1.6)]𝑡 = 1903.20 mm²
Demand shear Va = 66.302 kN
Ratio demand/capacity D/C = 0.17 OK
Ubs = 1.00
𝐴 = [(𝑛 − 1)𝑠 + 𝐿 − (𝑛 − 0.5)(𝑑 + 1.6)] t = 1410.00 mm²
𝐴 = [𝐿 + (𝑛 − 1) g − (𝑛 − 0.5)(𝑑 + 1.6)]𝑡 = 229.20 mm²
𝐴 = [(𝑛 − 1)𝑠 + 𝐿]𝑡 = 1764 mm²
Φ= 0.75
Demand shear Va = 66.302 kN
Ratio demand/capacity D/C = 0.19 OK
Plate
Material A572 Gr 50
Tensile strength Fu = 44.8 kN/cm²
Yeild strength Fy = 34.5 kN/cm²
Beam, Girder
Material A572 Gr 50
Ultimate tensile strength Fu = 44.8 kN/cm²
Yeild strength Fy = 34.5 kN/cm²
Elastic module E= 20000 kN/cm²
III. DIMENSION
Beam section
Height h= 150 mm
Flange width bf = 75 mm
Web thickness tw = 5 mm
Flange thickness tf = 7 mm
Beam setback sb = 10 mm
Girder section
Flange width bf = 164 mm
Web thickness tw = 6 mm
Plate
Thickness tp = 12 mm
Height Lp = 110 mm
Bolt
Type M20
Bolt rows n= 2
Bolt columns nc = 1
Gage - transverse spacing g= 0 mm
Pitch - longitudinal spacing s= 50 mm
Vertical edge distance Lev = 30 mm
Horizontal edge distance Leh = 50 mm
Distance between weld and bolts a= 139 mm
Eccentric distance e= 139 mm
PROJECT CODE : 719002
Calculation Sheet for DOCUMENT NO. : CAL-1-004-C-0001
Dryer Offgas Cleaning System
DATE : 30/08/2023
- Main Structure
REV :1
SINGLE PLATE CONNECTION - J4 TO BEAM
IV. CALCULATING
1. Plate (beam side)
Bolt shear
∅𝑅 = ∅𝐶𝐹 𝐴 = 169.65 kN AISC J3-1
Φ= 0.75
C= 2.00
Demand shear Va = 15.36 kN
Ratio demand/capacity D/C = 0.09 OK
Flexure yielding
𝑀 = ∅𝐹 𝑍 = 11.26 kNm
𝑡 𝐿
𝑍 = = 36300 mm3
4
Φ= 0.9
Demand moment 𝑀 = 𝑉𝑒 = 2.134762 kNm
Ratio demand/capacity D/C = 0.19 OK
Φ= 0.75
𝑟 = 1.2𝑙 𝑡𝐹 = 122.62 kN
𝑟 = 1.2𝑙 𝑡𝐹 = 180.70 kN
𝑟 ( ) = 2.4𝑑𝑡𝐹 = 258.14 kN
𝑙 = 𝐿 − 𝑑 /2 = 19.00 mm
𝑙 =𝑠−𝑑 = 28.00 mm
C= 2.00 Tables (7-1..14)
Demand shear Va = 15.36 kN
Ratio demand/capacity D/C = 0.08 OK
Shear yielding
∅𝑅 = ∅0.6𝐹 𝐴 = 273 kN AISC J4-3
Φ= 1
𝐴 =𝐿 𝑡 = 1320 mm² Sec. D3-1
Demand shear Va = 15.358 kN
Ratio demand/capacity D/C = 0.06 OK
Shear rupture
∅𝑅 = ∅0.6𝐹 𝐴 = 151.98 kN AISC J4-4
Φ= 0.75
𝐴 = [L − n( d + 1.6)]𝑡 = 753.60 mm² Sec. J4-2
Demand shear Va = 15.358 kN
Ratio demand/capacity D/C = 0.10 OK
PROJECT CODE : 719002
Calculation Sheet for DOCUMENT NO. : CAL-1-004-C-0001
Dryer Offgas Cleaning System
DATE : 30/08/2023
- Main Structure
REV :1
SINGLE PLATE CONNECTION - J4 TO BEAM
Block shear rupture
Flexure rupture
𝑡
𝑍 = [L − 𝑠 𝑛(𝑛 − 1)(d + 1.6)/𝐿 ] = 26651 mm3
4
Φ= 0.75
Demand moment 𝑀 =𝑉𝑎= 2.134762 kNm
Ratio demand/capacity D/C = 0.24 OK
Tension yielding
∅𝑅 = ∅𝐹 𝐴 = 410 kN AISC J4-1
Φ= 0.9
𝐴 =𝐿 𝑡 = 1320 mm²
Demand tensile load Pa = 5.99 kN
Ratio demand/capacity D/C = 0.01 OK
Tension rupture
∅𝑅 = ∅𝐹 𝐴 = 253.30 kN AISC J4-2
Φ= 0.75
𝐴 = [L − n( d + 1.6)]𝑡 = 753.60 mm Sec. D3-2
𝐴 = min( 0.85𝐴 , 𝐴 ) = 753.60 mm Sec. J4-1
Demand tensile load Pa = 5.99 kN
Ratio demand/capacity D/C = 0.02 OK
PROJECT CODE : 719002
Calculation Sheet for DOCUMENT NO. : CAL-1-004-C-0001
Dryer Offgas Cleaning System
DATE : 30/08/2023
- Main Structure
REV :1
SINGLE PLATE CONNECTION - J4 TO BEAM
Tear out under axial load
2. Beam
Bolt bearing under shear load
Shear yielding
∅𝑅 = ∅0.6𝐹 𝐴 = 155.13 kN AISC J4-3
Φ= 1
𝐴 = ℎ𝑡 = 750 mm² Sec. D3-1
Demand shear Va = 15.358 kN
Ratio demand/capacity D/C = 0.10 OK
Shear rupture
∅𝑅 = ∅0.6𝐹 𝐴 = 103.66 kN
Φ= 0.75
𝐴 = [ℎ − n( d + 1.6)]𝑡 = 514.00 mm²
Demand shear Va = 15.358 kN
Ratio demand/capacity D/C = 0.15 OK
Ubs = 1.00
𝐴 = [(𝑛 − 1)𝑠 + 𝐿 − (𝑛 − 0.5)(𝑑 + 1.6)] t = 323.00 mm²
𝐴 = [𝐿 + (𝑛 − 1) g − (𝑛 − 0.5)(𝑑 + 1.6)]𝑡 = 191.00 mm²
𝐴 = [(𝑛 − 1)𝑠 + 𝐿]𝑡 = 500 mm²
Φ= 0.75
Demand shear Va = 15.358 kN
Ratio demand/capacity D/C = 0.12 OK
Plate
Material A572 Gr 50
Tensile strength Fu = 44.8 kN/cm²
Yeild strength Fy = 34.5 kN/cm²
Beam, Girder
Material A572 Gr 50
Ultimate tensile strength Fu = 44.8 kN/cm²
Yeild strength Fy = 34.5 kN/cm²
Elastic module E= 20000 kN/cm²
III. DIMENSION
Beam section
Height h= 400 mm
Flange width bf = 184 mm
Web thickness tw = 8 mm
Flange thickness tf = 14 mm
Beam setback sb = 10 mm
Girder section
Flange width bf = 212 mm
Web thickness tw = 8 mm
Plate
Thickness tp = 14 mm
Height Lp = 320 mm
Bolt
Type M20
Bolt rows n= 3
Bolt columns nc = 1
Gage - transverse spacing g= 100 mm
Pitch - longitudinal spacing s= 100 mm
Vertical edge distance Lev = 60 mm
Horizontal edge distance Leh = 50 mm
Distance between weld and bolts a= 162 mm
Eccentric distance e= 162 mm
PROJECT CODE : 719002
Calculation Sheet for DOCUMENT NO. : CAL-1-004-C-0001
Dryer Offgas Cleaning System
DATE : 30/08/2023
- Main Structure
REV :1
SINGLE PLATE CONNECTION - B1 TO BEAM
IV. CALCULATING
1. Plate (beam side)
Bolt shear
∅𝑅 = ∅𝐶𝐹 𝐴 = 254.47 kN AISC J3-1
Φ= 0.75
C= 3.00
Demand shear Va = 182.07 kN
Ratio demand/capacity D/C = 0.72 OK
Flexure yielding
𝑀 = ∅𝐹 𝑍 = 111.20 kNm
𝑡 𝐿
𝑍 = = 358400 mm3
4
Φ= 0.9
Demand moment 𝑀 = 𝑉𝑒 = 29.486106 kNm
Ratio demand/capacity D/C = 0.27 OK
Φ= 0.75
𝑟 = 1.2𝑙 𝑡𝐹 = 368.93 kN
𝑟 = 1.2𝑙 𝑡𝐹 = 587.27 kN
𝑟 ( ) = 2.4𝑑𝑡𝐹 = 301.16 kN
𝑙 = 𝐿 − 𝑑 /2 = 49.00 mm
𝑙 =𝑠−𝑑 = 78.00 mm
C= 3.00 Tables (7-1..14)
Demand shear Va = 182.01 kN
Ratio demand/capacity D/C = 0.27 OK
Shear yielding
∅𝑅 = ∅0.6𝐹 𝐴 = 927 kN AISC J4-3
Φ= 1
𝐴 =𝐿 𝑡 = 4480 mm² Sec. D3-1
Demand shear Va = 182.013 kN
Ratio demand/capacity D/C = 0.20 OK
Shear rupture
∅𝑅 = ∅0.6𝐹 𝐴 = 703.59 kN AISC J4-4
Φ= 0.75
𝐴 = [L − n( d + 1.6)]𝑡 = 3488.80 mm² Sec. J4-2
Demand shear Va = 182.013 kN
Ratio demand/capacity D/C = 0.26 OK
PROJECT CODE : 719002
Calculation Sheet for DOCUMENT NO. : CAL-1-004-C-0001
Dryer Offgas Cleaning System
DATE : 30/08/2023
- Main Structure
REV :1
SINGLE PLATE CONNECTION - B1 TO BEAM
Block shear rupture
Flexure rupture
𝑡
𝑍 = [L − 𝑠 𝑛(𝑛 − 1)(d + 1.6)/𝐿 ] = 296483 mm3
4
Φ= 0.75
Demand moment 𝑀 =𝑉𝑎= 29.486106 kNm
Ratio demand/capacity D/C = 0.30 OK
Tension yielding
∅𝑅 = ∅𝐹 𝐴 = 1390 kN AISC J4-1
Φ= 0.9
𝐴 =𝐿 𝑡 = 4480 mm²
Demand tensile load Pa = 67.57 kN
Ratio demand/capacity D/C = 0.05 OK
Tension rupture
∅𝑅 = ∅𝐹 𝐴 = 1172.66 kN AISC J4-2
Φ= 0.75
𝐴 = [L − n( d + 1.6)]𝑡 = 3488.80 mm Sec. D3-2
𝐴 = min( 0.85𝐴 , 𝐴 ) = 3488.80 mm Sec. J4-1
Demand tensile load Pa = 67.57 kN
Ratio demand/capacity D/C = 0.06 OK
PROJECT CODE : 719002
Calculation Sheet for DOCUMENT NO. : CAL-1-004-C-0001
Dryer Offgas Cleaning System
DATE : 30/08/2023
- Main Structure
REV :1
SINGLE PLATE CONNECTION - B1 TO BEAM
Tear out under axial load
2. Beam
Bolt bearing under shear load
Shear yielding
∅𝑅 = ∅0.6𝐹 𝐴 = 661.90 kN AISC J4-3
Φ= 1
𝐴 = ℎ𝑡 = 3200 mm² Sec. D3-1
Demand shear Va = 182.013 kN
Ratio demand/capacity D/C = 0.27 OK
Shear rupture
∅𝑅 = ∅0.6𝐹 𝐴 = 531.12 kN
Φ= 0.75
𝐴 = [ℎ − n( d + 1.6)]𝑡 = 2633.60 mm²
Demand shear Va = 182.013 kN
Ratio demand/capacity D/C = 0.34 OK
Ubs = 1.00
𝐴 = [(𝑛 − 1)𝑠 + 𝐿 − (𝑛 − 0.5)(𝑑 + 1.6)] t = 1928.00 mm²
𝐴 = [𝐿 + (𝑛 − 1) g − (𝑛 − 0.5)(𝑑 + 1.6)]𝑡 = 305.60 mm²
𝐴 = [(𝑛 − 1)𝑠 + 𝐿]𝑡 = 2400 mm²
Φ= 0.75
Demand shear Va = 182.013 kN
Ratio demand/capacity D/C = 0.38 OK
Plate
Material A572 Gr 50
Tensile strength Fu = 44.8 kN/cm²
Yeild strength Fy = 34.5 kN/cm²
Beam, Girder
Material A572 Gr 50
Ultimate tensile strength Fu = 44.8 kN/cm²
Yeild strength Fy = 34.5 kN/cm²
Elastic module E= 20000 kN/cm²
III. DIMENSION
Beam section
Height h= 314 mm
Flange width bf = 148 mm
Web thickness tw = 6 mm
Flange thickness tf = 8 mm
Beam setback sb = 10 mm
Girder section
Flange width bf = 212 mm
Web thickness tw = 8 mm
Plate
Thickness tp = 14 mm
Height Lp = 220 mm
Bolt
Type M20
Bolt rows n= 2
Bolt columns nc = 2
Gage - transverse spacing g= 100 mm
Pitch - longitudinal spacing s= 100 mm
Vertical edge distance Lev = 60 mm
Horizontal edge distance Leh = 50 mm
Distance between weld and bolts a= 162 mm
Eccentric distance e= 212 mm
PROJECT CODE : 719002
Calculation Sheet for DOCUMENT NO. : CAL-1-004-C-0001
Dryer Offgas Cleaning System
DATE : 30/08/2023
- Main Structure
REV :1
SINGLE PLATE CONNECTION - B2 TO BEAM
IV. CALCULATING
1. Plate (beam side)
Bolt shear
∅𝑅 = ∅𝐶𝐹 𝐴 = 331.67 kN AISC J3-1
Φ= 0.75
C= 3.91
Demand shear Va = 175.82 kN
Ratio demand/capacity D/C = 0.53 OK
Flexure yielding
𝑀 = ∅𝐹 𝑍 = 52.56 kNm
𝑡 𝐿
𝑍 = = 169400 mm3
4
Φ= 0.9
Demand moment 𝑀 = 𝑉𝑒 = 11.477468 kNm
Ratio demand/capacity D/C = 0.22 OK
Φ= 0.75
𝑟 = 1.2𝑙 𝑡𝐹 = 368.93 kN
𝑟 = 1.2𝑙 𝑡𝐹 = 587.27 kN
𝑟 ( ) = 2.4𝑑𝑡𝐹 = 301.16 kN
𝑙 = 𝐿 − 𝑑 /2 = 49.00 mm
𝑙 =𝑠−𝑑 = 78.00 mm
C= 3.91 Tables (7-1..14)
Demand shear Va = 54.14 kN
Ratio demand/capacity D/C = 0.06 OK
Shear yielding
∅𝑅 = ∅0.6𝐹 𝐴 = 637 kN AISC J4-3
Φ= 1
𝐴 =𝐿 𝑡 = 3080 mm² Sec. D3-1
Demand shear Va = 54.139 kN
Ratio demand/capacity D/C = 0.08 OK
Shear rupture
∅𝑅 = ∅0.6𝐹 𝐴 = 487.88 kN AISC J4-4
Φ= 0.75
𝐴 = [L − n( d + 1.6)]𝑡 = 2419.20 mm² Sec. J4-2
Demand shear Va = 54.139 kN
Ratio demand/capacity D/C = 0.11 OK
PROJECT CODE : 719002
Calculation Sheet for DOCUMENT NO. : CAL-1-004-C-0001
Dryer Offgas Cleaning System
DATE : 30/08/2023
- Main Structure
REV :1
SINGLE PLATE CONNECTION - B2 TO BEAM
Block shear rupture
Flexure rupture
𝑡
𝑍 = [L − 𝑠 𝑛(𝑛 − 1)(d + 1.6)/𝐿 ] = 146885 mm3
4
Φ= 0.75
Demand moment 𝑀 =𝑉𝑎= 8.770518 kNm
Ratio demand/capacity D/C = 0.18 OK
Tension yielding
∅𝑅 = ∅𝐹 𝐴 = 956 kN AISC J4-1
Φ= 0.9
𝐴 =𝐿 𝑡 = 3080 mm²
Demand tensile load Pa = 175.64 kN
Ratio demand/capacity D/C = 0.18 OK
Tension rupture
∅𝑅 = ∅𝐹 𝐴 = 813.14 kN AISC J4-2
Φ= 0.75
𝐴 = [L − n( d + 1.6)]𝑡 = 2419.20 mm Sec. D3-2
𝐴 = min( 0.85𝐴 , 𝐴 ) = 2419.20 mm Sec. J4-1
Demand tensile load Pa = 175.64 kN
Ratio demand/capacity D/C = 0.22 OK
PROJECT CODE : 719002
Calculation Sheet for DOCUMENT NO. : CAL-1-004-C-0001
Dryer Offgas Cleaning System
DATE : 30/08/2023
- Main Structure
REV :1
SINGLE PLATE CONNECTION - B2 TO BEAM
Tear out under axial load
2. Beam
Bolt bearing under shear load
Shear yielding
∅𝑅 = ∅0.6𝐹 𝐴 = 389.69 kN AISC J4-3
Φ= 1
𝐴 = ℎ𝑡 = 1884 mm² Sec. D3-1
Demand shear Va = 54.139 kN
Ratio demand/capacity D/C = 0.14 OK
Shear rupture
∅𝑅 = ∅0.6𝐹 𝐴 = 322.84 kN
Φ= 0.75
𝐴 = [ℎ − n( d + 1.6)]𝑡 = 1600.80 mm²
Demand shear Va = 54.139 kN
Ratio demand/capacity D/C = 0.17 OK
Ubs = 0.50
𝐴 = [(𝑛 − 1)𝑠 + 𝐿 − (𝑛 − 0.5)(𝑑 + 1.6)] t = 1029.60 mm²
𝐴 = [𝐿 + (𝑛 − 1) g − (𝑛 − 0.5)(𝑑 + 1.6)]𝑡 = 687.60 mm²
𝐴 = [(𝑛 − 1)𝑠 + 𝐿]𝑡 = 1242 mm²
Φ= 0.75
Demand shear Va = 54.139 kN
Ratio demand/capacity D/C = 0.18 OK
Plate
Material A572 Gr 50
Tensile strength Fu = 44.8 kN/cm²
Yeild strength Fy = 34.5 kN/cm²
Beam, Girder
Material A572 Gr 50
Ultimate tensile strength Fu = 44.8 kN/cm²
Yeild strength Fy = 34.5 kN/cm²
Elastic module E= 20000 kN/cm²
III. DIMENSION
Beam section
Height h= 392 mm
Flange width bf = 164 mm
Web thickness tw = 6 mm
Flange thickness tf = 10 mm
Beam setback sb = 10 mm
Girder section
Flange width bf = 212 mm
Web thickness tw = 8 mm
Plate
Thickness tp = 14 mm
Height Lp = 320 mm
Bolt
Type M20
Bolt rows n= 3
Bolt columns nc = 1
Gage - transverse spacing g= 100 mm
Pitch - longitudinal spacing s= 100 mm
Vertical edge distance Lev = 60 mm
Horizontal edge distance Leh = 50 mm
Distance between weld and bolts a= 162 mm
Eccentric distance e= 162 mm
PROJECT CODE : 719002
Calculation Sheet for DOCUMENT NO. : CAL-1-004-C-0001
Dryer Offgas Cleaning System
DATE : 30/08/2023
- Main Structure
REV :1
SINGLE PLATE CONNECTION - B3 TO BEAM
IV. CALCULATING
1. Plate (beam side)
Bolt shear
∅𝑅 = ∅𝐶𝐹 𝐴 = 254.47 kN AISC J3-1
Φ= 0.75
C= 3.00
Demand shear Va = 68.61 kN
Ratio demand/capacity D/C = 0.27 OK
Flexure yielding
𝑀 = ∅𝐹 𝑍 = 111.20 kNm
𝑡 𝐿
𝑍 = = 358400 mm3
4
Φ= 0.9
Demand moment 𝑀 = 𝑉𝑒 = 7.47225 kNm
Ratio demand/capacity D/C = 0.07 OK
Φ= 0.75
𝑟 = 1.2𝑙 𝑡𝐹 = 368.93 kN
𝑟 = 1.2𝑙 𝑡𝐹 = 587.27 kN
𝑟 ( ) = 2.4𝑑𝑡𝐹 = 301.16 kN
𝑙 = 𝐿 − 𝑑 /2 = 49.00 mm
𝑙 =𝑠−𝑑 = 78.00 mm
C= 3.00 Tables (7-1..14)
Demand shear Va = 46.13 kN
Ratio demand/capacity D/C = 0.07 OK
Shear yielding
∅𝑅 = ∅0.6𝐹 𝐴 = 927 kN AISC J4-3
Φ= 1
𝐴 =𝐿 𝑡 = 4480 mm² Sec. D3-1
Demand shear Va = 46.125 kN
Ratio demand/capacity D/C = 0.05 OK
Shear rupture
∅𝑅 = ∅0.6𝐹 𝐴 = 703.59 kN AISC J4-4
Φ= 0.75
𝐴 = [L − n( d + 1.6)]𝑡 = 3488.80 mm² Sec. J4-2
Demand shear Va = 46.125 kN
Ratio demand/capacity D/C = 0.07 OK
PROJECT CODE : 719002
Calculation Sheet for DOCUMENT NO. : CAL-1-004-C-0001
Dryer Offgas Cleaning System
DATE : 30/08/2023
- Main Structure
REV :1
SINGLE PLATE CONNECTION - B3 TO BEAM
Block shear rupture
Flexure rupture
𝑡
𝑍 = [L − 𝑠 𝑛(𝑛 − 1)(d + 1.6)/𝐿 ] = 296483 mm3
4
Φ= 0.75
Demand moment 𝑀 =𝑉𝑎= 7.47225 kNm
Ratio demand/capacity D/C = 0.07 OK
Tension yielding
∅𝑅 = ∅𝐹 𝐴 = 1390 kN AISC J4-1
Φ= 0.9
𝐴 =𝐿 𝑡 = 4480 mm²
Demand tensile load Pa = 57.46 kN
Ratio demand/capacity D/C = 0.04 OK
Tension rupture
∅𝑅 = ∅𝐹 𝐴 = 1172.66 kN AISC J4-2
Φ= 0.75
𝐴 = [L − n( d + 1.6)]𝑡 = 3488.80 mm Sec. D3-2
𝐴 = min( 0.85𝐴 , 𝐴 ) = 3488.80 mm Sec. J4-1
Demand tensile load Pa = 57.46 kN
Ratio demand/capacity D/C = 0.05 OK
PROJECT CODE : 719002
Calculation Sheet for DOCUMENT NO. : CAL-1-004-C-0001
Dryer Offgas Cleaning System
DATE : 30/08/2023
- Main Structure
REV :1
SINGLE PLATE CONNECTION - B3 TO BEAM
Tear out under axial load
2. Beam
Bolt bearing under shear load
Shear yielding
∅𝑅 = ∅0.6𝐹 𝐴 = 486.50 kN AISC J4-3
Φ= 1
𝐴 = ℎ𝑡 = 2352 mm² Sec. D3-1
Demand shear Va = 46.125 kN
Ratio demand/capacity D/C = 0.09 OK
Shear rupture
∅𝑅 = ∅0.6𝐹 𝐴 = 388.66 kN
Φ= 0.75
𝐴 = [ℎ − n( d + 1.6)]𝑡 = 1927.20 mm²
Demand shear Va = 46.125 kN
Ratio demand/capacity D/C = 0.12 OK
Ubs = 1.00
𝐴 = [(𝑛 − 1)𝑠 + 𝐿 − (𝑛 − 0.5)(𝑑 + 1.6)] t = 1422.00 mm²
𝐴 = [𝐿 + (𝑛 − 1) g − (𝑛 − 0.5)(𝑑 + 1.6)]𝑡 = 229.20 mm²
𝐴 = [(𝑛 − 1)𝑠 + 𝐿]𝑡 = 1776 mm²
Φ= 0.75
Demand shear Va = 46.125 kN
Ratio demand/capacity D/C = 0.13 OK