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Theory of Structures

Theory of Structures
The equivalent length is of a column of length having both the ends fixed, is

L/2
L
2 L
l

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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

2
1
3
1.5

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Theory of Structures
For beams of uniform strength, if depth is constant,

Width b M 2
Width b 3 M
Width b 1/M
Width b M

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Theory of Structures
A spring of mean radius 40 mm contains 8 action coils of steel (N = 80000 N/mm²), 4 mm in diameter. The clearance between the coils being 1 mm when unloaded, the minimum compressive load to remove the clearance, is

25 N
35 N
40 N
30 N

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Theory of Structures
A simply supported beam A carries a point load at its mid span. Another identical beam B carries the same load but uniformly distributed over the entire span. The ratio of the maximum deflections of the beams A and B, will be

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

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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
L/2
2L
L

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