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Theory of Structures

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

0.707
0.404
0.505
0.303

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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

wa/27
w²a
wa²/27
wa²

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

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Theory of Structures
The eccentricity (e) of a hollow circular column, external diameter 25 cm, internal diameter 15 cm for an eccentric load 100 t for non-development of tension, is

3.00 cm
4.25 cm
2.75 cm
3.50 cm

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

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

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Theory of Structures
A simply supported rolled steel joist 8 m long carries a uniformly distributed load over it span so that the maximum bending stress is 75 N/mm². If the slope at the ends is 0.005 radian and the value of E = 0.2 × 106 N/mm², the depth of the joist, is

400 mm
300 mm
250 mm
200 mm

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