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Theory of Structures

Theory of Structures
If Q is load factor, S is shape factor and F is factor of safety in elastic design, the following:

Q = F – S
Q = S × F
Q = S – F
Q = S + F

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

L
S
2L
L/2

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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

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

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Theory of Structures
A body is said to be in equilibrium if

It moves vertically
None of these
It rotates about its C.G.
It moves horizontally

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

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

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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
wa/27
w²a
wa²/27

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