A 12 mm thick plate is connected through a 20 mm diameter bolt as shown in figure. Assuming the safe stress on the connection to be 120 N/mm2. The strength of the connection (in kN) will be ________.Correct answer is between '288,297'. Can you explain this answer?

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A 12 mm thick plate is connected through a 20 mm diameter bolt as shown in figure. Assuming the safe stress on the connection to be 120 N/mm². The strength of the connection (in kN) will be ________.

Correct answer is between '288,297'. Can you explain this answer?

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A 12 mm thick plate is connected through a 20 mm diameter bolt as show...

Given

Bolt diameter = 20 mm

Bolt hole diameter, d_h = 22 mm

Safe stress on connection = 120 N/mm²

Thickness of plate = 12 mm

Also, Staggered pitch, S = 50 mm

Gauge length, g = 60 mm

Net width of the plate, corresponding to ABCD

= Total width of plate – (number of bolts × d_h)

= (40 + 3 × 60 + 40) – 2 × 22

= 216 mm

Net width of the plate corresponding to ABECFG

Where b = width of the plate.

n = total numbers of bolt whole in the path considered

S₁, S₂, and S₃ are the staggered pitch between bolts BE, EC and CF respectively.

g = gauge length

= 203.25 mm

The net width of the plate corresponding ABECFG

= 204.42 mm

The net width of the plate corresponding to ABEFG

= 214.83 mm

Therefore, minimum width for net effective area = 203.25 mm

Strength of the plate = (203.25 × 12) × 120 × 10^-3 kN

= 292.68 kN

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A 12 mm thick plate is connected through a 20 mm diameter bolt as shown in figure. Assuming the safe stress on the connection to be 120 N/mm2. The strength of the connection (in kN) will be ________.Correct answer is between '288,297'. Can you explain this answer?

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