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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
WL3/2EI
WL²/2EI
WL²/3EI

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Theory of Structures
The assumption in the theory of bending of beams is:

Material is homogeneous
Material is isotropic
All of these
Young’s modulus is same in tension as well as in compression

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Theory of Structures
A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be

wa²/27
w²a
wa²
wa/27

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Theory of Structures
At yield point of a test piece, the material

Regains its original shape on removal of the load
Undergoes plastic deformation
Obeys Hooke’s law
Behaves in an elastic manner

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Theory of Structures
Maximum shear stress theory for the failure of a material at the elastic limit, is known

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

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Theory of Structures
In plastic analysis, the shape factor for a triangular section, is

2.5
1.34
2.34
1.5

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