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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

WL²/2EI
WL3/2EI
WL²/3EI
WL3/3EI

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Theory of Structures
The ratio of the length and diameter of a simply supported uniform circular beam which experiences maximum bending stress equal to tensile stress due to same load at its mid span, is

1/3
1/4
1/2
1/8

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Theory of Structures
For determining the support reactions at A and B of a three hinged arch, points B and Care joined and produced to intersect the load line at D and a line parallel to the load line through A at D’. Distances AD, DD’ and AD’ when measured were 4 cm, 3 cm and 5 cm respectively. The angle between the reactions at A and B is

30°
45°
60°
90°

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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
In a shaft, the shear stress is not directly proportional to

Length of the shaft
Radius of the shaft
Angle of twist
Modulus of rigidity

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Theory of Structures
Principal planes are subjected to

Normal stresses as well as tangential stresses
None of these
Tangential stresses only
Normal stresses only

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