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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
1/16
1/10
1/12

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Theory of Structures
Maximum strain theory for the failure of a material at the elastic limit, is known as

Guest's or Trecas' theory
Haig's theory
Rankine's theory
St. Venant'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

5 mm
4 mm
3 mm
2 mm

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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:

3.125 cm³
1.125 cm³
2.125 cm³
4.125 cm²

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Theory of Structures
The moment of inertia of a triangular section (height h, base b) about its base, is

bh³/12
b³h/12
b²h/12
bh²/12

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Theory of Structures
A close coil helical spring of mean diameter D consists of n coils of diameter d. If it carries an axial load W, the energy stored in the spring, is

4W²D3n/d4N
4WD²n/d4N
4W²D3n²/d4N
4W²Dn/d4N

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