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Theory of Structures

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

0.707
0.303
0.404
0.505

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Theory of Structures
A load of 1960 N is raised at the end of a steel wire. The minimum diameter of the wire so that stress in the wire does not exceed 100 N/mm² is:

5.5 mm
4.5 mm
4.0 mm
5.0 mm

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Theory of Structures
In plastic analysis, the shape factor for a triangular section, is

2.5
1.5
2.34
1.34

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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
75 N/m²
7500 N/m²

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Theory of Structures
The area of the core of a column of cross sectional area A, is

(1/18) A
(1/3) A
(1/12) A
(1/6) A

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Theory of Structures
A simply supported rolled steel joist 8 m long carries a uniformly distributed load over it span so that the maximum bending stress is 75 N/mm². If the slope at the ends is 0.005 radian and the value of E = 0.2 × 106 N/mm², the depth of the joist, is

300 mm
200 mm
250 mm
400 mm

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