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Theory of Structures

Theory of Structures
The area of the core of a column of cross sectional area A, is

(1/3) A
(1/12) A
(1/6) A
(1/18) A

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Theory of Structures
Total strain energy theory for the failure of a material at elastic limit, is known

Haig’s theory
Rankine’s theory
St. Venant’s theory
Guest’s or Trecas’ theory

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

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

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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

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

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Theory of Structures
A simply supported beam which carries a uniformly distributed load has two equal overhangs. To have maximum B.M. produced in the beam least possible, the ratio of the length of the overhang to the total length of the beam, is

0.307
0.407
0.508
0.207

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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

ML²/2EI
ML/2EI
ML/EI
ML²/3EI

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