1. A steel bar of 40 mm × 40 mm square cross-section is subjected to an axial compressive load of 200 kN. If the length of the bar is 2 m and E = 200 GPa, the elongation of the bar will be: (a) 1.25 mm (b) 2.70 mm (c) 4.05 mm (d) 5.40 mm

2. The relationship between Young's modulus (E), Bulk modulus (K) and Poisson's ratio (μ) is given by: (a) E = 3 K (1 − 2μ ) (b) K = 3 E (1 − 2μ ) (c) E = 3 K (1 − μ ) (d) K = 3 E (1 − μ )

3. A solid uniform metal bar of diameter D and length L is hanging vertically from its upper end. The elongation of the bar due to self weight is: (a) Proportional to L and inversely proportional to D2

(b) Proportional to L2 and inversely proportional to D2

(c) Proportional of L but independent of D(d) Proportional of U but independent of D

4. The deformation of a bar under its own weight as compared to that when subjected to a direct axial load equal to its own weight will be: (a) The same (b) One-fourth (c) Half (d) Double

5. A beam is said to be of uniform strength, if(a) The bending moment is the same throughout the beam(b) The shear stress is the same throughout the beam(c) The deflection is the same throughout the beam(d) The bending stress is the same at every section along its longitudinal axis

6. Two tapering bars of the same material are subjected to a tensile load P. The lengths of both the bars are the same. The larger diameter of each of the bars is D. The diameter of the bar A at its smaller end is D/2 and that of the bar B is D/3. What is the ratio of elongation of the bar A to that of the bar B?(a) 3 : 2 (b) 2: 3 (c) 4 : 9 (d) 1: 3

7. Which one of the following is correct in respect of Poisson's ratio (v) limits for an isotropic elastic solid? (a) −∞≤ν ≤∞ (b) 1 / 4≤ν ≤1 / 3 (c) −1≤ν ≤1 / 2 (d) −1 / 2≤ν ≤1 / 2

8. If the value of Poisson's ratio is zero, then it means that (a) The material is rigid.(b) The material is perfectly plastic.(c) There is no longitudinal strain in the material(d) The longitudinal strain in the material is infinite.

9. A 100 mm × 5 mm × 5 mm steel bar free to expand is heated from 15°C to 40°C.What shall be developed? (a) Tensile stress (b) Compressive stress (c) Shear stress (d) No stress

10. A steel rod 10 mm in diameter and 1m long is heated from 20°C to 120°C, E = 200GPa and α = 12 × 10-6 per °C. If the rod is not free to expand, the thermal stress developed is: (a) 120 MPa (tensile) (b) 240 MPa (tensile) (c) 120 MPa (compressive) (d) 240 MPa (compressive)

11. The reactions at the rigid supports at A and B for the bar loaded as shown in the figure are respectively.

(a) 20/3 kN, 10/3 kN (b) 10/3 kN, 20/3 kN (c) 5 kN, 5 kN (d) 6 kN, 4 kN

12. A rod of length L and diameter D is subjected to a tensile load P. Which of the following is sufficient to calculate the resulting change in diameter?(a) Young's modulus (b) Shear modulus (c) Poisson's ratio (d) Both Young's modulus and shear modulus

13. The figure below shows a steel rod of 25 mm2 cross sectional area. It is loaded

at four points, K, L, M and N.

Assume Esteel = 200 GPa. The total change in length of the rod due to loading is:(a) 1 μm (b) -10 μm (c) 16 μm (d) -20 μm

14. A bar having a cross-sectional area of 700mm2 is subjected to axial loads at thepositions indicated. The value of stress in the segment QR is:

P Q R S(a) 40 MPa (b) 50 MPa (c) 70 MPa (d) 120 MPa

15. A uniform, slender cylindrical rod is made of a homogeneous and isotropic material. The rod rests on a frictionless surface. The rod is heated uniformly. If the radial and longitudinal thermal stresses are represented by σr and σz, respectively, then (a) σr =0, σz =0 (b) 0, 0 (c) 0, σz = σ z = σ r ≠ σ z = σ r = σ z ≠ 0 (d) σ r ≠ 0,σ