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Theory of Structures - Engineering

Q1:

Maximum principal stress theory for the failure of a material at elastic point, 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:C - Rankine'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).