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Theory of Structures

Theory of Structures
The ratio of maximum shear stress to average shear stress of a circular beam, is

3/2
2/3
4/7
4/3

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Theory of Structures
The locus of the moment of inertia about inclined axes to the principal axis, is

Ellipse
Straight line
Parabola
Circle

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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

wa²
w²a
wa²/27
wa/27

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Theory of Structures
A three hinged arch is generally hinged at its supports and

At one quarter span
Anywhere in the rib
At the crown
None of these

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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).

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

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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
75000 N/m²
75 N/m²

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