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Theory of Structures

Theory of Structures
The maximum bending moment for a simply supported beam with a uniformly distributed load w/unit length, is

WI²/8
WI/2
WI²/4
WI²/12

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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
2.125 cm³
3.125 cm³

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Theory of Structures
If E, N, K and 1/m are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good

E = 2N (1 + 1/m)
(3/2)K (1 – 2/m) = N (1 + 1/m)
All of these
E = 3K (1 – 2/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

ML²/3EI
ML²/2EI
ML/EI
ML/2EI

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Theory of Structures
The locus of the end point of the resultant of the normal and tangential components of the stress on an inclined plane, is

Straight line
Parabola
Ellipse
Circle

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Theory of Structures
A bar L metre long and having its area of cross-section A, is subjected to a gradually applied tensile load W. The strain energy stored in the bar is

W²L/AE
W²L/2AE
WL/2AE
WL/AE

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