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Theory of Structures

Theory of Structures
The ratio of the maximum deflections of a simply supported beam with a central load W and of a cantilever of same length and with a load W at its free end, is

1/16
1/12
1/8
1/10

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Theory of Structures
In case of principal axes of a section

Product of moment of inertia is zero
Difference of moment inertia is zero
Sum of moment of inertia is zero
None of these

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Theory of Structures
Y are the bending moment, moment of inertia, radius of curvature, modulus of If M, I, R, E, F, and elasticity stress and the depth of the neutral axis at section, then

M/I = E/R = Y/F
M/I = R/E = F/Y
M/I = E/R = F/Y
I/M = R/E = F/Y

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Theory of Structures
A cantilever of length 2 cm and depth 10 cm tapers in plan from a width 24 cm to zero at its free end. If the modulus of elasticity of the material is 0.2 × 106 N/mm², the deflection of the free end, is

2 mm
4 mm
3 mm
5 mm

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Theory of Structures
The vertical reaction for the arch is

wl/a
wa/l
wa²/2l
wa/2l

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Theory of Structures
A steel rod 1 metre long having square cross section is pulled under a tensile load of 8 tonnes. The extension in the rod was 1 mm only. If Esteel = 2 × 106 kg/cm², the side of the rod, is

2.5 cm
2 cm
1.5 cm
1 cm

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