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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