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Theory of Structures

Theory of Structures
The equivalent length is of a column of length having both the ends fixed, is

l
2 L
L
L/2

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Theory of Structures
The general expression for the B.M. of a beam of length l is the beam carries M = (wl/2) x – (wx²/2)

None of these
An isolated load at mid span
A uniformly distributed load w/unit length
A load varying linearly from zero at one end to w at the other end

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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

Straight line formula
Parabolic formula
Rankine
Perry

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Theory of Structures
A short column (30 cm × 20 cm) carries a load P 1 at 4 cm on one side and another load P2at 8 cm on the other side along a principal section parallel to longer dimension. If the extreme intensity on either side is same, the ratio of P1 to P2 will be

2/3
5/8
8/5
3/2

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Theory of Structures
The point of contraflexure is the point where

M. is minimum
M. changes sign
M. is maximum
S.F. is zero

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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
Rankine's theory
Guest's or Trecas' theory
Haig's theory

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