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Theory of Structures

Theory of Structures
In case of a simply supported rectangular beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is

L/3
L/5
L/2
L/4

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

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

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

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Theory of Structures
A steel rod of sectional area 250 sq. mm connects two parallel walls 5 m apart. The nuts at the ends were tightened when the rod was heated to 100°C. If steel = 0.000012/C°, Esteel = 0.2 MN/mm², the tensile force developed at a temperature of 50°C, is

80 N/mm²
120 N/mm²
150 N/mm²
100 N/mm 2

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Theory of Structures
Principal planes are subjected to

None of these
Normal stresses only
Normal stresses as well as tangential stresses
Tangential stresses only

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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
4.125 cm²
1.125 cm³
2.125 cm³

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