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THEORY OF STRUCTURES

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

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

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Theory of Structures
A two hinged parabolic arch of span l and rise h carries a load varying from zero at the left end to ? per unit run at the right end. The horizontal thrust is

ωl²/16h
ωl²/4h
ωl²/12h
ωl²/8h

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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

WL²/2EI
WL3/3EI
WL²/3EI
WL3/2EI

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Theory of Structures
The ratio of moments of inertia of a triangular section about its base and about a centroidal axis parallel to its base, is

2
3
1.5
1

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Theory of Structures
Inertia of a rectangular section of width and depth about an axis passing the moment of through C.G. and parallel to its width is

BD²/6
B²D/6
BD³/6
BD³/12

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