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___________________?

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. A simply supported rolled steel joist 8 m long carries a uniformly distributed load over it span so that the maximum bending stress is 75 N/mm². If the slope at the ends is 0.005 radian and the value of E = 0.2 × 106 N/mm2, the depth of the joist, is________________?

   A. 200 mm
   B. 250 mm
   C. 300 mm
   D. 400 mm

3. A simply supported beam A carries a point load at its mid span. Another identical beam B carries the same load but uniformly distributed over the entire span. The ratio of the maximum deflections of the beams A and B, will be________________?

   A. 2/3
   B. 3/2
   C. 5/8
   D. 8/5

4. 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

5. 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

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 rolled steel joist is simply supported at its ends and carries a uniformly distributed load which causes a maximum deflection of 10 mm and slope at the ends of 0.002 radian. The length of the joist will be________________?

   A. 10 m
   B. 12 m
   C. 14 m
   D. 16 m

8. The ratio of the length and depth of a simply supported rectangular beam which experiences maximum bending stress equal to tensile stress, due to same load at its mid span, is_______________?

   A. 1/2
   B. 2/3
   C. 1/4
   D. 1/3

9. The ratio of the length and diameter of a simply supported uniform circular beam which experiences maximum bending stress equal to tensile stress due to same load at its mid span, is___________________?

   A. 1/8
   B. 1/4
   C. 1/2
   D. 1/3

10. A shaft is subjected to bending moment M and a torque T simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in the shaft, is____________________?

    A. M/T
    B. T/M
    C. 2M/ T
    D. 2T/M