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_________________?

Related Mcqs:

1. 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___________________?

   A. b = 10 N/mm2 s = 20 N/mm 2
   B. b = 8 N/mm2 s = 16 N/mm2
   C. b = 6 N/mm2 s = 12 N/mm2
   D. b = 5 N/mm2 s = 10 N/mm2

2. If E, N, K and 1/m are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good_______________?

   A. E = 3K (1 – 2/m)
   B. E = 2N (1 + 1/m)
   C. (3/2)K (1 – 2/m) = N (1 + 1/m)
   D. All the above

3. A steel bar 20 mm in diameter simply-supported at its ends over a total span of 40 cm carries a load at its centre. If the maximum stress induced in the bar is limited to N/mm2, the bending strain energy stored in the bar, is___________________?

   A. 411 N mm
   B. 511 N mm=
   C. 611 N mm
   D. 711 N mm

4. A steel rod of sectional area 250 sq. mm connects two parallel walls 5 m apart. The nuts at the ends were tightened when the rod was heated to 100°C. If steel = 0.000012/C°, Esteel = 0.2 MN/mm2, the tensile force developed at a temperature of 50°C, is_________________?

   A. 80 N/mm2
   B. 100 N/mm 2
   C. 120 N/mm2
   D. 150 N/mm2

5. A cantilever of length 2 cm and depth 10 cm tapers in plan from a width 24 cm to zero at its free end. If the modulus of elasticity of the material is 0.2 × 106 N/mm2, the deflection of the free end, is________________?

   A. 2 mm
   B. 3 mm
   C. 4 mm
   D. 5 mm

6. If a concrete column 200 × 200 mm in cross-section is reinforced with four steel bars of 1200 mm2 total cross-sectional area. Calculate the safe load for the column if permissible stress in concrete is 5 N/mm2 and Es is 15 Ec________________?

   A. 264 MN
   B. 274 MN
   C. 284 MN
   D. 294 MN

7. A steel plate d × b is sandwiched rigidly between two timber joists each D × B/2 in section. The steel will be (where Young’s modulus of steel is m times that of the timber)_________________?

   A. BD² + mbd²)/6D]
   B. BD3 + mbd3)/6D]
   C. BD² + mbd3)/4D]
   D. BD² + mbd²)/4D]

8. A bar L metre long and having its area of cross-section A, is subjected to a gradually applied tensile load W. The strain energy stored in the bar is_________________?

   A. WL/2AE
   B. WL/AE
   C. W²L/AE
   D. W²L/2AE

9. A simply supported uniform rectangular bar breadth b, depth d and length L carries an isolated load W at its mid-span. The same bar experiences an extension e under same tensile load. The ratio of the maximum deflection to the elongation, is________________?

   A. L/d
   B. L/2d
   C. (L/2d)²
   D. (L/3d)²

10. 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________________?

    A. M/I = R/E = F/Y
    B. I/M = R/E = F/Y
    C. M/I = E/R = E/Y
    D. M/I = E/R = Y/F