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Theory of Structures

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

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

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Theory of Structures
For the close coil helical spring of the maximum deflection is

4W²D3n/d4N
2WD3n/d4N
WD3n/d4N
8WD3n/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

ωl²/8h
ωl²/16h
ωl²/12h
ωl²/4h

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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

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

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Theory of Structures
For calculating the allowable stress of long columns σ0 = σy/n [1 - a (1/r)²]is the empirical formula, known as

Rankine
Straight line formula
Parabolic formula
Perry

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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

WL3/3EI
WL3/2EI
WL²/3EI
WL²/2EI

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