THEORY OF STRUCTURES QUIZ

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

M/I = R/E = F/Y

M/I = E/R = F/Y

I/M = R/E = F/Y

TRUE ANSWER : ?
YOUR ANSWER : ?

Pick up the correct statement from the following:

In a loaded beam, the moment at which the first yield occurs is called yield moment

In a loaded beam, the moment at which the entire section of the beam becomes fully plastic, is called plastic moment

All of these

In a fully plastic stage of the beam, the neutral axis divides the section in two sections of equal area

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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

H = 0

M = 0

V = 0

All of these

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YOUR ANSWER : ?

A compound truss may be formed by connecting two simple rigid frames, by

Two bars

Three bars intersecting at a point

three parallel bars

Three bars

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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

2/7

1/7

4/7

3/7

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The general expression for the B.M. of a beam of length l is the beam carries M = (wl/2) x – (wx²/2)

None of these

A load varying linearly from zero at one end to w at the other end

A uniformly distributed load w/unit length

An isolated load at mid span

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

St. Venant’s theory

Haig’s theory

Rankine’s theory

Guest’s or Trecas’ theory

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In case of a simply supported I-section 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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If Q is load factor, S is shape factor and F is factor of safety in elastic design, the following:

Q = F – S

Q = S + F

Q = S × F

Q = S – F

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A compound bar consists of two bars of equal length. Steel bar cross -section is 3500 mm²and that of brass bar is 3000 mm². These are subjected to a compressive load 100,000 N. If Eb = 0.2 MN/mm² and Eb = 0.1 MN/mm², the stresses developed are:

b = 6 N/mm² s = 12 N/mm²

b = 10 N/mm² s = 20 N/mm 2

b = 5 N/mm² s = 10 N/mm²

b = 8 N/mm² s = 16 N/mm²

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