Question
Download Solution PDFWhen a member is subjected to a direct stress in one plane, then the normal stresses on an oblique plane are given by:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Member subjected to direct stress in one plane:
When a member is subjected to direct stress (σ) in one plane, the normal and shear stress on an oblique plane at an angle ϕ to the direction perpendicular of the direction of force is:
Normal stress, σn = σcos2ϕ
Tangential or shear stress, τ = \(\frac{σ}{2}\sin{2ϕ}\)
Where, σ = \(\frac{P}{A}\)
P is the normal force due to stress and A is the area of cross-section of the member.
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