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Theory of Structures

Theory of Structures
The ratio of the maximum deflections of a simply supported beam with a central load W and of a cantilever of same length and with a load W at its free end, is

1/8
1/10
1/16
1/12

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Theory of Structures
The shape factor of standard rolled beam section varies from

1.30 to 1.40
1.20 to 1.30
1.10 to 1.20
1.40 to 1.50

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Theory of Structures
A masonry dam (density = 20,000 N/m³) 6 m high, one metre wide at the top and 4 m wide at the base, has vertical water face. The minimum stress at the base of the dam when the reservoir is full, will be

7500 N/m²
75000 N/m²
75 N/m²
750 N/m²

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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

All of these
E = 2N (1 + 1/m)
(3/2)K (1 – 2/m) = N (1 + 1/m)
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
ML/2EI
ML²/2EI
ML/EI

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Theory of Structures
The ratio of maximum shear stress to average shear stress of a circular beam, is

4/7
2/3
4/3
3/2

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