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Theory of Structures

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

WL²/3EI
WL3/2EI
WL²/2EI
WL3/3EI

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Theory of Structures
H V are the algebraic sums of the forces resolved horizontally and vertically respectively, M is the algebraic sum of the moments of forces about any point, for the equilibrium of the body acted upon

V = 0
M = 0
All of these
H = 0

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Theory of Structures
The strain energy due to volumetric strain

Is directly proportional to the volume
Is inversely proportional to Bulk modulus
Is directly proportional to the square of exerted pressure
All of these

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Theory of Structures
A shaft rotating N.R.M. under a torque T, transmits a power

/60 Newton metres/sec
/30 Newton metres/min
/30 Newton metres/sec
/60 Newton metres/min

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

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Theory of Structures
A steel bar 5 m × 50 mm is loaded with 250,000 N. If the modulus of elasticity of the material is 0.2 MN/mm² and Poisson’s ratio is 0.25, the change in the volume of the bar is:

3.125 cm³
2.125 cm³
4.125 cm²
1.125 cm³

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