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Theory of Structures

Theory of Structures
In case of a simply supported I-section beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is

L/3
L/4
L/5
L/2

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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

75000 N/m²
750 N/m²
7500 N/m²
75 N/m²

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Theory of Structures
Maximum shear stress theory for the failure of a material at the elastic limit, is known

Rankine's theory
Haig's theory
St. Venant's theory
Guest's or Trecas' theory

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Theory of Structures
For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is

0.303
0.505
0.404
0.707

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Theory of Structures
A square column carries a load P at the centroid of one of the quarters of the square. If a is the side of the main square, the combined bending stress will be

p/a²
2p/a²
3p/a²
4p/a²

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Theory of Structures
A short column (30 cm × 20 cm) carries a load P 1 at 4 cm on one side and another load P2at 8 cm on the other side along a principal section parallel to longer dimension. If the extreme intensity on either side is same, the ratio of P1 to P2 will be

5/8
2/3
8/5
3/2

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