Theory of Structures Objective Questions and Answers - ObjectiveBooks
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# Practice Test: Question Set - 12

1. A material which obeys Hook's law is subjected to direct stress σ0. At its elastic limit, the following statement is true,
(A) Strain is equal to σ0/E
(B) Maximum shear stress = σ0/2
(C) Strain energy = σ0²/2E × volume
(D) All the above

2. A truss containing j joints and m members, will be a simple truss if
(A) m = 2j - 3
(B) j = 2m - 3
(C) m = 3j - 2
(D) j = 3m - 2

3. In plastic analysis, the shape factor for a triangular section, is
(A) 1.5
(B) 1.34
(C) 2.34
(D) 2.5

4. A three hinged arch is generally hinged at its supports and
(A) At one quarter span
(B) At the crown
(C) Anywhere in the rib
(D) None of these

5. 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:
(A) 1.125 cm3
(B) 2.125 cm3
(C) 3.125 cm3
(D) 4.125 cm2

6. Stress may be defined as
(A) Force per unit length
(B) Force per unit volume
(C) Force per unit area
(D) None of these

7. A steel rod 1 metre long having square cross section is pulled under a tensile load of 8 tonnes. The extension in the rod was 1 mm only. If Esteel = 2 × 106 kg/cm2, the side of the rod, is
(A) 1 cm
(B) 1.5 cm
(C) 2 cm
(D) 2.5 cm

8. The equivalent length of a column of length L, having both the ends hinged, is
(A) 2L
(B) L
(C) L/2
(D) L/√2

9. Pick up the correct statement from the following:
(A) The bending stress in a section is zero at its neutral axis and maximum at the outer fibres
(B) The shear stress is zero at the outer fibres and maximum at the neutral axis
(C) The bending stress at the outer fibres, is known as principal stress
(D) All the above

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

11. There are two hinged semicircular arches A, B and C of radii 5 m, 7.5 m and 10 m respectively and each carries a concentrated load W at their crowns. The horizontal thrust at their supports will be in the ratio of
(A) 1 : 1½ : 2
(B) 2 : 1½ : 1
(C) 1 : 1 : 2
(D) None of these

12. 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).
(A) 50/EIc
(B) 100/EIc
(C) 150/EIc
(D) 200/EIc

13. For beams of uniform strength, if depth is constant,
(A) Width b ∝ M
(B) Width b ∝ √M
(C) Width b ∝ 3 √M
(D) Width b ∝ 1/M

14. Stress may be expressed in Newtons
(A) Per millimeter square (N/mm2)
(B) Per centimeter square (N/cm2)
(C) Per meter square (N/m2)
(D) None of these

15. The maximum magnitude of shear stress due to shear force F on a rectangular section of area A at the neutral axis, is
(A) F/A
(B) F/2A
(C) 3F/2A
(D) 2F/3A

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