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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
l
2 L
L/2

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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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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
3/2
5/8
8/5

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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)

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

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Theory of Structures
A rolled steel joist is simply supported at its ends and carries a uniformly distributed load which causes a maximum deflection of 10 mm and slope at the ends of 0.002 radian. The length of the joist will be,

14 M
16 m
15 M
13 M

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Theory of Structures
A cantilever of length ‘L’ is subjected to a bending moment ‘M’ at its free end. If EI is the flexural rigidity of the section, the deflection of the free end, is

ML²/2EI
ML/2EI
ML/EI
ML²/3EI

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