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Theory of Structures

Theory of Structures
The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is

WL3/3EI
WL²/3EI
WL²/2EI
WL3/2EI

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Theory of Structures
In the truss, the force in the member AC is

t compressive
6.25 t compressive
8.75 t tensile
t tensile

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Theory of Structures
A bar L metre long and having its area of cross-section A, is subjected to a gradually applied tensile load W. The strain energy stored in the bar is

WL/2AE
W²L/2AE
W²L/AE
WL/AE

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Theory of Structures
If Q is load factor, S is shape factor and F is factor of safety in elastic design, the following:

Q = S × F
Q = S – F
Q = S + F
Q = F – S

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

Guest’s or Trecas’ theory
Haig’s theory
Rankine’s theory
St. Venant’s theory

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Theory of Structures
The maximum deflection of a simply supported beam of span L, carrying an isolated load at the centre of the span; flexural rigidity being EI, is

WL3/3EL
WL3/8EL
WL3/48EL
WL3/24EL

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