Steel · Connections: bolts & welds

Double angle web cleat calculator

Two angle cleats bolted to the beam web (double shear, eccentric) and to the support (single shear), with angle shear yield.

Standard: AS 4100 Cl 9.3, 9.1.9 (simplified)

Inputs in the worked example

The live calculator starts with these values; change any of them and every result, check and diagram updates instantly.

Input	Value	Unit
Design shear V*	220	kN
Bolt rows	3
Pitch	70	mm
Gauge to beam-web bolts from heel	55	mm
End distance	35	mm
Bolt size	M20
Bolt category	8.8/S
Angle grade	Grade 300 plate
Angle thickness	8	mm
Beam web thickness	7.8	mm
Beam web fu	440	MPa

Result	Value	Unit
Bolt diameter df	20.00	mm
Bolt tensile strength fuf	830.0	MPa
Tensile stress area As	245.0	mm²
Core area Ac (threads)	225.0	mm²
Shank area Ao	314.0	mm²
Plate yield stress fy (AS/NZS 3678)	320.0	MPa
Plate tensile strength fu	430.0	MPa
Cleat length	210.0	mm
Σy²	9,800	mm²
Beam-web bolt resultant (double shear)	113.3	kN
Beam-web bolt capacity min(2 φVf, φVb web)	185.3	kN
Support bolt force V/(2n)	36.67	kN
Support bolt capacity min(φVf, φVb angle)	92.63	kN
Two angles shear yield 2·0.9·0.6 fy La ta	580.6	kN

Diagram for the worked example

Bolt diameter df = CHOOSE(3,12,16,20,24,30,36) = 20 mm
Bolt tensile strength fuf = IF(2=1,400,830) = 830 MPa
Tensile stress area As = CHOOSE(3,84.3,157,245,353,561,817) = 245 mm²
Core area Ac (threads) = CHOOSE(3,76.2,144,225,324,519,759) = 225 mm²
Shank area Ao = CHOOSE(3,113,201,314,452,707,1018) = 314 mm²
Plate yield stress fy (AS/NZS 3678) = CHOOSE(2,IF(8<=8,280,IF(8<=12,260,250)),IF(8<=8,320,IF(8<=12,310,IF(8<=20,300,280))),IF(8<=12,360,IF(8<=20,350,340))) = 320 MPa
Plate tensile strength fu = CHOOSE(2,410,430,450) = 430 MPa
Cleat length = (3-1)*70+2*35 = 210 mm
Σy² = 70^2*(3-1)*3*(3+1)/12 = 9800 mm²
Beam-web bolt resultant (double shear) = SQRT((220/3)^2+(220*55*(3-1)*70/2/9800)^2) = 113.35 kN
Beam-web bolt capacity min(2 φVf, φVb web) = MIN(2*0.8*0.62*830*225/1000,0.9*3.2*20*7.8*440/1000) = 185.26 kN
Support bolt force V/(2n) = 220/(2*3) = 36.667 kN
Support bolt capacity min(φVf, φVb angle) = MIN(0.8*0.62*830*225/1000,0.9*3.2*20*8*430/1000) = 92.628 kN
Two angles shear yield 2·0.9·0.6 fy La ta = 2*0.9*0.6*320*210*8/1000 = 580.61 kN

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For preliminary design and education. Check every result against the current standard and your own engineering judgement before use.