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Theory of Structures

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

0.303
0.707
0.505
0.404

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Theory of Structures
The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is

WL3/3EI
WL²/3EI
WL²/2EI
WL3/2EI

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Theory of Structures
A body is said to be in equilibrium if

None of these
It moves vertically
It rotates about its C.G.
It moves horizontally

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Theory of Structures
The yield moment of a cross section is defined as the moment that will just produce the yield stress in

The outer most fibre of the section
The fibre everywhere
The inner most fibre of the section
The neutral fibre of the section

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Theory of Structures
The ratio of the length and diameter of a simply supported uniform circular beam which experiences maximum bending stress equal to tensile stress due to same load at its mid span, is

1/4
1/2
1/8
1/3

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Theory of Structures
A steel bar 5 m × 50 mm is loaded with 250,000 N. If the modulus of elasticity of the material is 0.2 MN/mm² and Poisson’s ratio is 0.25, the change in the volume of the bar is:

1.125 cm³
4.125 cm²
3.125 cm³
2.125 cm³

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