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Theory of Structures

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

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

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Theory of Structures
A steel bar 20 mm in diameter simply-supported at its ends over a total span of 40 cm carries a load at its centre. If the maximum stress induced in the bar is limited to N/mm², the bending strain energy stored in the bar, is

611 N mm
711 N mm
411 N mm
511 N mm

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Theory of Structures
The equivalent length of a column of length L having one end fixed and the other end free, is

L/2
2L
L
L

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Theory of Structures
The ratio of the deflections of the free end of a cantilever due to an isolated load at 1/3rd and 2/3rd of the span, is

4/7
3/7
2/7
1/7

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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).

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

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Theory of Structures
For the close coil helical spring of the maximum deflection is

8WD3n/d4N
WD3n/d4N
2WD3n/d4N
4W²D3n/d4N

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