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Theory of Structures

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

L
2L
L
L/2

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Theory of Structures
A shaft is subjected to bending moment M and a torque T simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in the shaft, is

M/T
2T/M
2M/ T
T/M

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Theory of Structures
A masonry dam (density = 20,000 N/m³) 6 m high, one metre wide at the top and 4 m wide at the base, has vertical water face. The minimum stress at the base of the dam when the reservoir is full, will be

7500 N/m²
750 N/m²
75 N/m²
75000 N/m²

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Theory of Structures
The vertical reaction for the arch is

wl/a
wa/2l
wa²/2l
wa/l

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Theory of Structures
A truss containing j joints and m members, will be a simple truss if

m = 3j – 2
m = 2j – 3
j = 3m – 2
j = 2m – 3

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Theory of Structures
The assumption in the theory of bending of beams is:

Material is isotropic
Material is homogeneous
All of these
Young’s modulus is same in tension as well as in compression

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