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Theory of Structures

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

WL²/3EI
WL3/2EI
WL3/3EI
WL²/2EI

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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

300 mm
250 mm
400 mm
200 mm

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Theory of Structures
If a three hinged parabolic arch, (span l, rise h) is carrying a uniformly distributed load w/unit length over the entire span,

B.M. will be zero throughout
S.F. will be zero throughout
Horizontal thrust is wl2/8h
All of these

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Theory of Structures
The ratio of maximum and average shear stresses on a rectangular section, is

1
1.5
1.25
2.5

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Theory of Structures
The ratio of crippling loads of a column having both the ends fixed to the column having both the ends hinged, is

1
3
2
4

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Theory of Structures
The horizontal deflection of a parabolic curved beam of span 10 m and rise 3 m when loaded with a uniformly distributed load l t per horizontal length is (where Ic is the M.I. at the crown, which varies as the slope of the arch).

100/EIc
150/EIc
50/EIc
200/EIc

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