Theory of Structures Objective Practice Test - Set 01

Practice Test: Question Set - 01


1. P = 4π² EI/ is the equation of Euler's crippling load if
    (A) Both the ends are fixed
    (B) Both the ends are hinged
    (C) One end is fixed and other end is free
    (D) One end is fixed and other end is hinged

2. Pick up the correct statement from the following:
    (A) The structural member subjected to compression and whose dimensions are small as compared to its length, is called a stmt
    (B) The vertical compression members are generally known as columns or stanchions
    (C) Deflection in lateral direction of a long column, is generally known as buckling
    (D) All the above

3. For calculating the allowable stress of long columns σ0 = σy/n [1 - a (1/r)²]is the empirical formula, known as
    (A) Straight line formula
    (B) Parabolic formula
    (C) Perry's formula
    (D) Rankine's formula

4. Maximum principal stress theory for the failure of a material at elastic point, is known
    (A) Guest's or Trecas' theory
    (B) St. Venant's theory
    (C) Rankine's theory
    (D) Von Mises' theory

5. Pick up the correct statement from the following:
    (A) The moment of inertia is calculated about the axis about which bending takes place
    (B) If tensile stress is less than axial stress, the section experiences compressive stress
    (C) If tensile stress is equal to axial stress, the section experiences compressive stress
    (D) All the above

6. A composite beam is composed of two equal strips one of brass and other of steel. If the temperature is raised
    (A) Steel experiences tensile force
    (B) Brass experiences compressive force
    (C) Composite beam gets subjected to a couple
    (D) All the above

7. A shaft subjected to a bending moment M and a torque T, experiences
    (A) Maximum bending stress = 32Md3
    (B) Maximum shear stress = 16 Td3
    (C) Both (a) and (b)
    (D) Neither (a) nor (b)

8. A two hinged parabolic arch of span l and rise h carries a load varying from zero at the left end to ω per unit run at the right end. The horizontal thrust is
    (A) ωl²/4h
    (B) ωl²/8h
    (C) ωl²/12h
    (D) ωl²/16h

9. The horizontal thrust on the ends of a two hinged semicircular arch of radius ‘R’ carrying
    (A) A uniformly distributed load ω per unit run over its right half span, is ⅔ ωR/π
    (B) A uniformly distributed load ω per unit run over its entire span is 4/3 ωR/π
    (C) A distributed load varying from zero at the left end to ω per unit horizontal run at the right end, is ⅔ ωR/π
    (D) All the above

10. Maximum strain theory for the failure of a material at the elastic limit, is known as
    (A) Guest's or Trecas' theory
    (B) St. Venant's theory
    (C) Rankine's theory
    (D) Haig's theory

11. Slenderness ratio of a long column, is
    (A) Area of cross-section divided by radius of gyration
    (B) Area of cross-section divided by least radius of gyration
    (C) Radius of gyration divided by area of cross-section
    (D) Length of column divided by least radius of gyration

12. A close coil helical spring when subjected to a moment M having its axis along the axis of the helix
    (A) It is subjected to pure bending
    (B) Its mean diameter will decrease
    (C) Its number of coils will increase
    (D) All the above

13. The ratio of the stresses produced by a suddenly applied load and by a gradually applied load on a bar, is
    (A) 1/4
    (B) 1/2
    (C) 1
    (D) 2

14. Maximum shear stress theory for the failure of a material at the elastic limit, is known
    (A) Guest's or Trecas' theory
    (B) St. Venant's theory
    (C) Rankine's theory
    (D) Haig's theory

15. A cantilever of length ‘L’ is subjected to a bending moment ‘M’ at its free end. If EI is the flexural rigidity of the section, the deflection of the free end, is
    (A) ML/EI
    (B) ML/2EI
    (C) ML²/2EI
    (D) ML²/3EI

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