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Theory of Structures

Theory of Structures
A three hinged arch is generally hinged at its supports and

At the crown
None of these
Anywhere in the rib
At one quarter span

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Theory of Structures
A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be

wa²/27
wa²
w²a
wa/27

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Theory of Structures
parabolic arch of span and rise , is given by The equation of a

y = 4h/l² × (1 – x)
y = 3h/l² × (1 – x)
y = h/l² × (1 – x )
y = 2h/l² × (1 – x)

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Theory of Structures
For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is

0.303
0.404
0.505
0.707

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Theory of Structures
The stiffness of the close coil helical spring is

d4N/8D3n
d4N/4D3n
8D3N/d4n
4D3N/d4n

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Theory of Structures
The equivalent length of a column of length L having one end fixed and the other end free, is

L
L
2L
L/2

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