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Theory of Structures

Theory of Structures
In case of a simply supported rectangular beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is

L/3
L/5
L/4
L/2

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Theory of Structures
The vertical reaction for the arch is

wa/2l
wl/a
wa²/2l
wa/l

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Theory of Structures
If E, N, K and 1/m are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good

E = 3K (1 – 2/m)
All of these
(3/2)K (1 – 2/m) = N (1 + 1/m)
E = 2N (1 + 1/m)

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Theory of Structures
Shear strain energy theory for the failure of a material at elastic limit, is due to

Von Mises
St. Venant
Rankine
Guest or Trecas

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Theory of Structures
For beams breadth is constant,

Depth d M
Depth d
Depth d 3
Depth d 1/M

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Theory of Structures
A shaft subjected to a bending moment M and a torque T, experiences

Both A and B
Maximum bending stress = 32M/πd³
Neither A nor B
Maximum shear stress = 16 T/πd³

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