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Theory of Structures

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

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

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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
wa²/27
w²a
wa/27

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Theory of Structures
The area of the core of a column of cross sectional area A, is

(1/6) A
(1/3) A
(1/12) A
(1/18) A

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

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

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Theory of Structures
For calculating the allowable stress of long columns σ0 = σy/n [1 - a (1/r)²]is the empirical formula, known as

Parabolic formula
Straight line formula
Rankine
Perry

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

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

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