# Diploma Strength of Materials Important Questions Unit 5

### Diploma Strength of Materials Important Questions

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Subject : Strength of Materials   Scheme : N

Unit,5 – SF AND BM DIAGRAMS OF BEAMS AND THEORY OF BENDING.

NOTE :

1. The highlighted Questions are asked more than two times in the Board Exam

2. These Questions are collected from Board Examination Question Papers. (M Scheme)

3 marks questions

1. Write down the relationship between load, shear force and bending moment.
2. Write down the assumptions made in theory of simple bending.
4. Define shear force and bending moment.
5. Define neutral axis.
6. Write sign conversions for shear force and bending moment.
7. Define section modulus. Write down the expression for rectangular & circular section.
8. Define support. List the various types of loads.
9. What is beam?
10. What is cantilever beam and simply supported beam?
11. What is UDL and UVL?
12. What is sagging moment?
13. What are the types of beams according to the support conditions?

14 marks questions

1. A simply supported beam of span 6m carries three points loads of 30kN, 25kN, and 40kN, at 1m, 3m, and 4.5m respectively from the left support. Draw the SFD and BMD and indicates the maximum value of bending moment.
2. A cantilever beam of span 2m carries a point load of 600N at its free end. If the beam is rectangular section of 100mm wide and 150mm deep, find the maximum bending stress induced. (5 marks)
3. Derive an expression for section modulus of a rectangular section. ( 5marks)
4. A simply supported beam of length 6m carries an udl of 20kN/m throughout its length and a point load of 30kN at 2m from the right support. Draw cantilever aw the SFD and BMD. Find the position and magnitude of maximum bending moment.
5. A cantilever beam of 4m long carries an udl of 20kN/m over half of its length from the free end. Draw the SF and BM diagrams (5 marks)
6. A rectangular beam of 300mm deep is simply supported over a span of 4m. what udl the beam may carry, if the bending stress is not to exceed 120N/mm^2 take l= 8×10^6 mm^4.
7. A beam is freely supported over a span of 8m. it carries point load of 3kN at 2m from the left hand support and an udl of 2kN/m run from the center to the right hand support. Construct SFD and BMD.
8. A cast iron water main 450mm bore and 20mm thick is supported at intervals of 6m. assuming each span as simply supported, find the maximum stress in metal when (i)pipe is running full and (ii) the pipe is empty. Specific weight of cast iron is 70kN/m^3 and specific weight of water is 9.81 kN/m^3.
9. Write down the expression for section modulus of rectangular and circular beam.
10. A simply supported beam of span 10m carries an udl of 20kN/m over the left half of the span and a point load of 30kN at the mid span. Draw SFD and BMD. Find also the position and magnitude of maximum bending moment.
11. Draw the SFD and BMD for a simply supported beam subjected to a point load ‘W’ at its mid point.
12. A wooden beam of rectangular section 100mm x 200mm is simply supported over a span of 6m. determine the UDL it may carry, if the bending stress is not to exceed 7.5 N/mm^2. Estimate the concentrated load it may carry at the center of the beam with the same permissible stress.
13. A simply supported horizontal beam of span 5m long concentrated loads of 70kN, 90kN, and 50kN, at 1m, 3m, 4m and 4.5m respectively from the left hand support. Find the reactions ans Draw the SFD and BMD.
14. A test beam of aquare section 25mm x 25 mm is broken by a transverse load of 750N applied at the center of the span of 1m. using the factor of safety of 4. Calculate the safe udl for a beam of 120mm width and 300mm deep, freely supported over a span of 5m 