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Theory of Structures

Theory of Structures
For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is

0.505
0.404
0.707
0.303

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

l
L
2 L
L/2

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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

ML/EI
ML²/2EI
ML²/3EI
ML/2EI

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Theory of Structures
A masonry dam (density = 20,000 N/m³) 6 m high, one metre wide at the top and 4 m wide at the base, has vertical water face. The minimum stress at the base of the dam when the reservoir is full, will be

750 N/m²
7500 N/m²
75 N/m²
75000 N/m²

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

2L
S
L
L/2

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Theory of Structures
Principal planes are subjected to

Normal stresses as well as tangential stresses
None of these
Tangential stresses only
Normal stresses only

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