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Type 4: Problems on Bending Formula(flexural formula)

1. A Circular beam 500 mm dia is simply supported over span of 6m. It carries point load of 81 KN at center. Find bending stress induced.

(Ans f= 9.92 N/)

2. A simply supported beam of span 4m carries UDL of 2 Kn/m over the entire span. if the bending stresses is not to exceed 165 N/mm2, find the value of section modulus for the beam and diameter of beam when it is circular.

(Ans d= )

3. A rectangular beam 200 x 450 mm is fixed at one end as a cantilever beam of span 4m it carries udl of 100 N/m over entire span. Find bending stress

(Ans f= )

4. A rectangular beam 300 mm deep is simply supported over span of 4m. Find what udl beam can carry is bending stresses is limited to 120 MPa.

(Ans W = 90 N/mm)

5. A rectangular beam 60 mm wide and 150 mm deep is simply supported over a span of m. if the beam is subjected to audl of 4.5 KN/M and max. bending stress is limited to 40 MPa Find span of beam.

(Ans x= 4008 mm)

6. A rectangular beam 60 mm wide and 150 mm depth is simply supported over 6m. If beam has point load of 12KN at center. Find max. bending stress include.

(Ans F= )

7. A beam is rectangular section supports A load of 20 kn at center of beam span 3.6 m. If depth is twice width and stress is limited to 7 mpa find dimension of beam.

(Ans x = 156.82 mm)

8. A simply supported beam 150mm wide and 300mm deep carries an uniformly distributed load over a span of 4m If the safe stresses are 28 MPa in bending and 2MPa in shear find the maximum uniformly distributed load that can be safely supported by the beam

 

9. Calculate max stress induced in a CI pipe of ext. dia 40 mm and internal dia 25 mm length of pipe is 4 m and simply supported and carries pt load of 80 kN at center.

(Ans f =)

10. A beam of rectangular c/s has depth 150 mm is supported at one end as cantilever is bending stress is limited to 30 mpa find max. udl it can carry take I = m

(Ans W = 1.5 N/mm)

11. A cantilever beam 80 mm x 120 mm carried pt load of 6 kn at end, It bending stress is limited to 40 mpa find span.

(Ans L = 1280 mm)

12. A rectangular beam simply supported over span 4m, carries UDL of 50 Kn/m over span. It depth of section is 2:5 width find dimension of bending stress is limited to 60 mpa.

(Ans b = 117.02 mm, d = 292.55 mm)