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Theory of Structures

Theory of Structures
Shear strain energy theory for the failure of a material at elastic limit, is due to

Guest or Trecas
Von Mises
St. Venant
Rankine

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Theory of Structures
The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is

WL3/2EI
WL3/3EI
WL²/3EI
WL²/2EI

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Theory of Structures
The locus of the moment of inertia about inclined axes to the principal axis, is

Ellipse
Parabola
Straight line
Circle

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Theory of Structures
At any point of a beam, the section modulus may be obtained by dividing the moment of inertia of the section by

Depth of the section
Depth of the neutral axis
Maximum compressive stress at the section
Maximum tensile stress at the section

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Theory of Structures
The ratio of maximum shear stress to average shear stress of a circular beam, is

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

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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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