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Theory of Structures

Q1:

Total strain energy theory for the failure of a material at elastic limit, is known

A Guest's or Trecas' theory

B St. Venant's theory

C Rankine's theory

D Haig's theory

E Von Mises's theory.

ANS:D - Haig's theory

Different Theories of Failure: These are five different theories of failures which are generally used.

(a) Maximum Principal stress theory (due to Rankine).
(b) Maximum shear stress theory (Guest - Tresca).
(c) Maximum Principal strain (Saint - Venant) Theory.
(d) Total strain energy per unit volume (Haigh) Theory.
(e) Shear strain energy per unit volume Theory (Von Mises & Hencky).



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