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Theory of Structures

Theory of Structures
The ratio of the area of cross-section of a circular section to the area of its core, is

11
16
15
14

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Theory of Structures
A steel plate d × b is sandwiched rigidly between two timber joists each D × B/2 in section. The steel will be (where Young’s modulus of steel is m times that of the timber).

BD² + mbd²)/6D]
BD³ + mbd³)/6D]
BD² + mbd²)/4D]
BD² + mbd³)/4D]

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Theory of Structures
The ratio of moments of inertia of a triangular section about its base and about a centroidal axis parallel to its base, is

3
1.5
1
2

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Theory of Structures
section modulus of a square section of side B and that of a circular section of the ratio of the diameter D, is

2 /15
/16
3 /8
3 /16

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Theory of Structures
At any point of a beam, the section modulus may be obtained by dividing the moment of inertia of the section by

Depth of the neutral axis
Maximum tensile stress at the section
Depth of the section
Maximum compressive stress at the section

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Theory of Structures
A simply supported beam which carries a uniformly distributed load has two equal overhangs. To have maximum B.M. produced in the beam least possible, the ratio of the length of the overhang to the total length of the beam, is

0.207
0.508
0.307
0.407

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