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Theory of Structures

Theory of Structures
A truss containing j joints and m members, will be a simple truss if

j = 3m – 2
j = 2m – 3
m = 3j – 2
m = 2j – 3

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

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

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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

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

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Theory of Structures
The load on a spring per unit deflection, is called

Proof resilience
Stiffness
Proof stress
Proof load

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

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

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

Guest's or Trecas' theory
Von Mises' theory
Rankine's theory
St. Venant's theory

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