Science And Technology

## Mechanics of Solids

I am glad to present the Second Edition of the book entitled, ‘Mechanics of Solids’ to the engineering students of U.P. Technical University, lucknow. The course contents have been planned in such a way that the book covers the complete course of second year of B. Tech. Mech. Engg./Production Engineering/Industrial and Production Engineering/Mechanical and Industrial Engineering/Manufacturing Technology/Automobile Engineering and Aeronautical Engineering students of U.P. Technical University, Lucknow. During my long experience of teaching, I have observed that the students face difficulty in understanding clearly the basic principles, fundamental concepts and theory without adequate solved problems along with the text. To meet this very basic requirement of the students, a large number of the questions taken from different Universities have been solved along with the text in S.I. units at proper places.
• Publisher: Laxmi Publications
• Language: English
• ISBN : 978-81-318-0891-7
• Chapter 1

Contents

• Chapter 2

Preface

• Chapter 3

### Chapter 1 - Compound Stress and Strains Price 0.11  |  0.11 Rewards Points

In 1st and 2nd semesters, the concept and definition of stress, strain, types of stresses (i.e., tensile, compressive and simple shear) and types of strain (i.e., tensile, compressive, shear and volumetric strains etc.) were explained. These stresses were acting in a plane, which was at right angles to the line of action of the force. In many engineering problems both direct (tensile or compressive stress) and shear stresses are acting at the same time. In such situation the resultant stress across any section will be neither normal nor tangential to the plane. In this chapter the stresses, acting on an inclined plane (or oblique section) will be analysed.

• Chapter 4

### Chapter 2 - 3-D Stresses Theory of Failure Equilibrium Equations and Impact Load Price 0.11  |  0.11 Rewards Points

3-D Stresses, Theory of Failure, Equilibrium Equations and Impact Load.

• Chapter 5

### Chapter 3 - Stresses in Beams Price 0.11  |  0.11 Rewards Points

When some external load acts on a beam, the shear force and bending moments are set up at all sections of the beam. Due to the shear force and bending moment, the beam undergoes certain deformation. The material of the beam will offer resistance or stresses against these deformations. These stresses with certain assumptions can be calculated. The stresses introduced by bending moment are known as bending stresses and the stresses due to shear force are known as shear stresses. In this chapter, the theory of pure bending, expression for bending stresses, bending stress in symmetrical and unsymmetrical sections, strength of a beam and composite beams will be discussed.

• Chapter 6

### Chapter 4 - Deflection of Beams Price 0.11  |  0.11 Rewards Points

If a beam carries uniformly distributed load or a point load, the beam is deflected from its original position. In this chapter, we shall study the amount by which a beam is deflected from its position. Due to the loads acting on the beam, it will be subjected to bending moment.

• Chapter 7

### Chapter 5 - Torsion Price 0.11  |  0.11 Rewards Points

A shaft is said to be in torsion, when equal and opposite torques are applied at the two ends of the shaft. The torque is equal to the product of the force applied (tangentially to the ends of a shaft) and radius of the shaft. Due to the application of the torques at the two ends, the shaft is subjected to a twisting moment. This causes the shear stresses and shear strains in the material of the shaft.

• Chapter 8

### Chapter 6 - Helical and Leaf Springs Price 0.11  |  0.11 Rewards Points

Springs are the elastic bodies which absorb energy due to resilience. The absorbed energy may be released as and when required. A spring which is capable of absorbing the greatest amount of energy for the given stress, without getting permanently distorted, is known as the best spring.

• Chapter 9

### Chapter 7 - Columns and Struts Price 0.11  |  0.11 Rewards Points

If a long column fixed at both ends, is subjected to an axial compressive load, compressive stress will be produced. If the compressive load is gradually increased, a stage will reach when the column starts bending (also known buckling). This process is known as buckling. The load at which the column just buckles, is known as buckling load. Buckling takes about the axis having minimum radius of gyration or least moment of inertia.

• Chapter 10

### Chapter 8 - Thin Cylinders and Spheres Price 0.11  |  0.11 Rewards Points

The vessels such as boilers, compressed air receivers etc., are of cylindrical and spherical forms. These vessels are generally used for storing fluids (liquid or gas) under pressure. The walls of such vessels are thin as compared to their diameters.

• Chapter 11

### Chapter 9 - Thick Cylinders Price 0.11  |  0.11 Rewards Points

In the last chapter, we have mentioned that if the ratio of thickness to internal diameter of a cylindrical shell is less than about 1/20, the cylindrical shell is known as thin cylinders. For them it may be assumed with reasonable accuracy that the hoop and longitudinal stresses are constant over the thickness and the radial stress is small and can be neglected. If the ratio of thickness to internal diameter is more than 1/20, then cylindrical shell is known as thick cylinders.

• Chapter 12

### Chapter 10 - Curved Beams Price 0.11  |  0.11 Rewards Points

Generally, if the radius of curvature is more than 5 times the depth of the beam, the beam is said to be having small initial curvature. But if radius of curvature is less than 5 times the depth, the beam is said to be having large initial curvature. Hence for large initial curvature, the radius of curvature is small. Also for curved beams, the neutral and centroidal axes do not coincide.

• Chapter 13

### Chapter 11 - Unsymmetrical Bending Price 0.11  |  0.11 Rewards Points

In the chapter of bending stresses, it is assumed that neutral axis of the cross-section of the beam is perpendicular to the plane of loading. This means that the plane of loading is parallel to the plane containing the principal centroidal axis of the inertia of cross-section of the beam. This type of bending is known symmetrical bending.

• Chapter 14

### Question Papers

Question Papers