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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
2 L

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Theory of Structures
The strain energy due to volumetric strain

Is directly proportional to the square of exerted pressure
Is directly proportional to the volume
Is inversely proportional to Bulk modulus
All of these

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

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Theory of Structures
A cantilever of length 2 cm and depth 10 cm tapers in plan from a width 24 cm to zero at its free end. If the modulus of elasticity of the material is 0.2 × 106 N/mm², the deflection of the free end, is

3 mm
4 mm
2 mm
5 mm

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Theory of Structures
An isolated load W is acting at a distance a from the left hand support, of a three hinged arch of span 2l and rise h hinged at the crown, the horizontal reaction at the support, is

Wa/2h
2h/Wa
Wa/h
2W/ha

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Theory of Structures
For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is

0.404
0.303
0.707
0.505

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