Assume if the shear stress in steel exceeds about 4.00

deiteresfp

deiteresfp

Answered question

2022-01-03

Assume if the shear stress in steel exceeds about 4.00×108 Nm2, the steel ruptures. Determine the shearing force necessary to (a) shear a steel bolt 1.00 cm in diameter and (b) punch a 1.00-cm-diameter hole in a steel plate 0.500 cm thick.

Answer & Explanation

Ben Owens

Ben Owens

Beginner2022-01-04Added 27 answers

a) It is required to determine the shearing force necessary to shear a bolt.
τ=FA
F=τ×A
=τ×π4d2
=(4×108Nm2)×[π4×(1 cm×1 m100 cm)2]
=3.14×104 N
b) It is required to determine the shearing force necessary to punch a hole.
Here, a hole is punished, thus the area is taken as circumference of hole thickness
τ=FA
F=τ×A
=τ×2πrt
=(4×108Nm2)×2π(12cm×1 m100 cm)(0.5 cm×1 m100 cm)
=6.28×104 N

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