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Theory of Structures

Theory of Structures
The ratio of the deflections of the free end of a cantilever due to an isolated load at 1/3rd and 2/3rd of the span, is

4/7
2/7
1/7
3/7

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

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

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Theory of Structures
The load on a spring per unit deflection, is called

Proof resilience
Proof load
Proof stress
Stiffness

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Theory of Structures
parabolic arch of span and rise , is given by The equation of a

y = h/l² × (1 – x )
y = 4h/l² × (1 – x)
y = 3h/l² × (1 – x)
y = 2h/l² × (1 – x)

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Theory of Structures
In the truss, the force in the member AC is

t tensile
8.75 t tensile
6.25 t compressive
t compressive

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

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

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