Civil Engineering MCQJE Level Civil Engineering
In pure shear, if the shear stress on a plane is τ, the principal stresses are:
Strength of MaterialsStrength of MaterialsMEDIUM
Choose the correct answer
A
+τ and 0
B
+τ and −τ
C
0 and −τ
D
+2τ and −2τ
Correct Answer
B. +τ and −τ
Why is this the answer?
For pure shear state: normal stress on both planes = 0. Using Mohr''s circle, the centre is at (0,0) and radius = τ. Principal stresses: σ1 = +τ (tensile) and σ2 = −τ (compressive). They act on planes inclined at 45° to the shear planes. This is why tension cracks in shafts appear at 45°.
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