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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

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

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Theory of Structures
P = 4π² EI/L² is the equation of Euler's crippling load if

Both the ends are hinged
One end is fixed and other end is free
Both the ends are fixed
One end is fixed and other end is hinged

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

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Theory of Structures
The ratio of the deflections of the free end of a cantilever due to an isolated load at 1/3rd and 2/3rd of the span, is

3/7
2/7
4/7
1/7

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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

2 mm
3 mm
4 mm
5 mm

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Theory of Structures
a uniform circular bar of diameter d and length , which extends by an The deflection of amount under a tensile pull , when it carries the same load at its mid-span, is

e²l²/3d²
el/2d
el²/3d²
ee²l/3d²

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