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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
L
L/2
2 L

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Theory of Structures
A cantilever of length 2 cm and depth 10 cm tapers in plan from a width 24 cm to zero at its free end. If the modulus of elasticity of the material is 0.2 × 106 N/mm², the deflection of the free end, is

4 mm
5 mm
2 mm
3 mm

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

15
14
16
11

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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

0.404
0.707
0.303
0.505

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Theory of Structures
A steel bar 5 m × 50 mm is loaded with 250,000 N. If the modulus of elasticity of the material is 0.2 MN/mm² and Poisson’s ratio is 0.25, the change in the volume of the bar is:

3.125 cm³
4.125 cm²
2.125 cm³
1.125 cm³

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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

30 N
25 N
35 N
40 N

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