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Theory of Structures

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

14
15
16
11

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Theory of Structures
Maximum principal stress theory for the failure of a material at elastic point, is known

Rankine's theory
Guest's or Trecas' theory
St. Venant's theory
Von Mises' theory

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Theory of Structures
A close coil helical spring of mean diameter D consists of n coils of diameter d. If it carries an axial load W, the energy stored in the spring, is

4W²D3n/d4N
4WD²n/d4N
4W²D3n²/d4N
4W²Dn/d4N

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Theory of Structures
An isolated load W is acting at a distance a from the left hand support, of a three hinged arch of span 2l and rise h hinged at the crown, the horizontal reaction at the support, is

Wa/2h
Wa/h
2W/ha
2h/Wa

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Theory of Structures
A steel plate d × b is sandwiched rigidly between two timber joists each D × B/2 in section. The steel will be (where Young’s modulus of steel is m times that of the timber).

BD² + mbd²)/4D]
BD² + mbd²)/6D]
BD² + mbd³)/4D]
BD³ + mbd³)/6D]

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Theory of Structures
Y are the bending moment, moment of inertia, radius of curvature, modulus of If M, I, R, E, F, and elasticity stress and the depth of the neutral axis at section, then

I/M = R/E = F/Y
M/I = E/R = Y/F
M/I = R/E = F/Y
M/I = E/R = F/Y

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