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Tuesday, 18 June 2019 07:45cat

Calculate the Maximum Shear Stress

Written by  TheStructuralEngineer.info

A steel bar with diameter d = 14 mm is subjected to a tensile load P = 10 kN (see figure). (a) What is the maximum normal stress σmax in the bar? (b) What is the maximum shear stress τmax?

Solution 

(a) Maximum normal stress

σx = P / A = 10KN / ((π /4) * (14mm)2) = 64.9MPa

(b) Maximum shear stress

The maximum shear stress is on a 45o plane and equals σx / 2.

τmax = σmax / 2 = 64.9MPa / 2 = 32.45MPa

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