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Theory of Structures

Theory of Structures
The vertical reaction for the arch is

wa/l
wl/a
wa²/2l
wa/2l

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Theory of Structures
A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be

wa²
wa²/27
w²a
wa/27

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Theory of Structures
For the close coil helical spring of the maximum deflection is

4W²D3n/d4N
2WD3n/d4N
8WD3n/d4N
WD3n/d4N

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

(1/12) A
(1/3) A
(1/18) A
(1/6) 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
Guest’s or Trecas’ theory
Rankine’s theory
St. Venant’s theory

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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
0.303
0.707
0.505

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