(Solution Manual) Strength of Materials by Dr. R K Bansal (Fourth Edition)

The book Strength of Materials by Dr. R K Bansal(Fourth Edition) is very helpful in understanding the basic concepts of structure mechanics. It is highly recommended, to read, for all the Civil Engineering and Mechanical Engineering students mainly in India. The solutions to the unsolved problems from this book are presented here in very precise manner. Please note that problem numbers are the same as they appear in the fourth edition of the book.

Other Books Solutions:

Book Title: Mechanics of Materials, Author: R C Hibbeler (Eighth Edition)

Book Title: Structural Analysis (ninth edition,) Author: R C Hibbeler (Ninth Edition)

Chapter -3

Principal Stresses and Strains

Exercise 3 (B) Numerical Problems

Problem 15. A point in a strained material is subjected to the stresses shown in Fig. 3.33. 

Problem 16. An elemental cube is subjected to tensile stresses 60N/mm^2…Draw Mohr’s Circle of Stresses

Problem 19. A rectangular block of material is subjected to tensile stress… Draw Mohr’s Circle.

Chapter -5

Center of Gravity and Moment of Inertia

Exercise 5 (B) Numerical Problems

Problem 1. Center of Gravity of T-Section

Problem 2. Center of Gravity of I-Section

 Problem 3(a). Moment of Inertia of L-Section fig 5.41

Problem 3(b). Moment of Inertia of ISA 100*75*6 fig 5.41(b)

Problem 4. From a Rectangular lamina ABCD 10 cm*14 cm a..

Problem 5. For the T-section in fig 5.39, Find MOI about the centroidal X and Y axis

Problem 6. Moment of Inertia of I-Section fig 5.40

Chapter -6

Shear Force and Bending Moment

Exercise 6 (B) Numerical Problems

Problem 1. A cantilever beam of length 2 m carries a point load of 1 kN at free end.

Problem 2. A cantilever beam of length 4 m carries point loads of 1 kN, 2 kN and 3 kN at 1m

Problem 3. A cantilever of length 2 m carries a udl of 3 kN/m run over

Problem 4. A cantilever of length 5 m carries a uniformly distributed load of 2 kN/m run over the whole length

Problem 5. A cantilever of length 4 m carries udl of 1 kN/m run over the whole length 

Problem 6. A cantilever 2 m long is loaded with a uniformly distributed load of 2 kN/m run over a length of 1m from… draw S.F. and B.M. diagrams.

Problem 7. A cantilever of length 6 m carries two point loads of 2 kN and 3 kN at a distance of 1 m and 6 m

Problem 8. A cantilever of length 6 m carries a gradually varying load, zero at free end and 2 kN/m at the fixed end respectively. Draw S.F. and B.M. diagrams.

Problem 9. A simply supported beam of length 8 m carries point loads 4 kN and 6 kN, at distances 2 m and 4 m from left end… Draw S.F. and B.M. diagrams of the beam.  

Problem 10. A simply supported beam of length 10 m carries point loads of 30 kN and 50 kN, at points 3 m and 7 m from the left end. Draw S.F. and B.M. diagrams of the beam.

Problem 11. chapter – Shear Force and Bending Moment, SOM by Dr. R K Bansal – A simply supported beam of length 8 m carries point loads of 4 kN, 10 kN, and 7 kN at a distance of 1.5 m, 2.5 m and 2.0 m respectively from the left end A. Draw the S.F. and B.M. diagrams of the beam.

Problem 12. A simply supported beam of length 8 m carries point loads of 4 kN, 10 kN, and 7 kN at a distance of 1.5 m, 2.5 m and 2.0 m respectively from the left end A. Draw the S.F. and B.M. diagrams of the beam.

Problem 13. A beam of length 6 m is simply supported at the ends and carries a uniformly distributed load of 1.5 kN/m run over its whole length and three concentrated loads of 1 kN, 2 kN, and 3 kN acting at 1.5 m 3.0 m and 4.5 m respectively from the left end.

Problem 14. A beam of length 10 m is simply supported and carries point loads of 5 kN each at a distance of 3m and 7 m from left support and also a uniformly distributed load of 1 kN/m between the point loads. Draw the S.F. and B.M. diagrams for the beam.

Problem 15. A beam of length 6 m is simply supported at its ends. It is loaded with a gradually varying load of 750 N/m from left hand support to 1500 N/m to the right hand support. Construct the S.F. and B.M. diagrams and find the amount and position of the maximum B.M. over the beam.

Problem 16. A simply supported beam of length 8 m rests on supports 6 m apart, the right hand end is overhanging by 2 m. The beam carries a uniformly distributed load of 1500 N/m over the entire length. Draw S.F. and B.M. diagrams and find the point of contraflexure, if any.

Problem 17. A simply supported beam of length 8 m rests on supports 5 m apart, the right hand end is overhanging by 2 m and the left hand end is overhanging by 1 m. The beam carries a uniformly distributed load of 5 kN/m over the entire length.

Problem 18. A beam is loaded as shown in Fig. 6.46. Draw the S.F. and B.M. diagrams and find (i) maximum S.F. (ii) Maximum B.M. (iii) Point of inflexion.

Problem 20. A simply supported beam of length 5 m carries a uniformly distributed load of 100 N/m, extending from the left end to a point 2 m away. There is also a clockwise couple of 1500 N-m applied at the centre of the beam. Draw the SFD and BMD and find out the maximum bending moment, and it’s location.

Chapter – 12

Deflection of Beams [Strength of Material, by Dr. R K Bansal]

(B) NUMERICAL PROBLEMS

Problem 1. A wooden beam, 4 m long, simply supported at its ends, is carrying a point load of 7.25 kN at its centre. The cross section of the beam is 140 mm wide, and 240 mm deep. If E for the beam is 9 * 10^3 N/mm^2, find out the deflection of the beam at its centre.