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Theory of Structures

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
5.0 mm
4.5 mm
4.0 mm

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Theory of Structures
If a solid shaft (diameter 20 cm, length 400 cm, N = 0.8 × 105 N/mm²) when subjected to a twisting moment, produces maximum shear stress of 50 N/mm 2, the angle of twist in radians, is

0.0025
0.003
0.002
0.001

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Theory of Structures
A cantilever of length ‘L’ is subjected to a bending moment ‘M’ at its free end. If EI is the flexural rigidity of the section, the deflection of the free end, is

ML²/3EI
ML/EI
ML²/2EI
ML/2EI

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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
2/7
1/7
3/7

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Theory of Structures
A material is said to be perfectly elastic if

It does not regain its original shape at all
It regains its original shape partially on removal of the load
None of these
It regains its original shape on removal of the load

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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

14
16
15
11

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