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Theory of Structures

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

L
S
L/2
2L

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Theory of Structures
The horizontal deflection of a parabolic curved beam of span 10 m and rise 3 m when loaded with a uniformly distributed load l t per horizontal length is (where Ic is the M.I. at the crown, which varies as the slope of the arch).

100/EIc
200/EIc
150/EIc
50/EIc

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Theory of Structures
A rolled steel joist is simply supported at its ends and carries a uniformly distributed load which causes a maximum deflection of 10 mm and slope at the ends of 0.002 radian. The length of the joist will be,

15 M
16 m
13 M
14 M

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Theory of Structures
For calculating the allowable stress of long columns σ0 = σy/n [1 - a (1/r)²]is the empirical formula, known as

Perry
Rankine
Straight line formula
Parabolic formula

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

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

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

Proof resilience
Stiffness
Proof load
Proof stress

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