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Mechanics of Materials. SIXTH EDITION. James M. Gere. Professor Emeritus, Stanford University. Australia • Canada • Mexico • Singapore •. Because of that, the Strength of Materials relies on the experience as well as the theory and is a science in development. • Basic concepts. Strength is the ability. All the chapters of this book, “A Textbook of Strength of Materials” have been written by in such a simple and easy-to-follow language such that .

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ence—the dark night of the soul, the call for help, the responding voice, the.. clashes with any other item, Rumi wa strength-of-material-by-r-k-bansal. PDF | 50 minutes read | This book is about Strength of Materials. It is not a handbook rather intended as a textbook for the present and hopefully. Osama Mohammed Elmardi Suleiman Khayal. Laminated composite beams and plates are commonly used in automotive, naval, aircraft, light weight structure, aerospace exploration and civil and mechanical engineering applications. Strength of Materials - Lecture

BT-1 Remember 4 Define i modulus of elasticity ii modulus of rigidity.. BT-4 Analyze 5 Define i factor of safety ii stability. BT-4 Analyze 6 State bulk modulus. BT-1 Remember 7 What is mean by strain energy density? BT-2 Understand 8 Draw the stress strain curve for mild steel. BT-3 Application 10 What do you Understand by a compound bar? BT-1 Remember 11 What are the type of elastic constants BT-1 Remember 12 Write two equations used to find the forces in compound bars made of two materials subjected to tension.

Using equation 1. In general, it varies from 0. The stress-strain relationship in elastic region need not be linear and can be non-linear as in rubber like materials. The maximum stress value below which the strain is fully recoverable is called the elastic limit. It is represented by point A in figure 1. When the stress in the material exceeds the elastic limit, the material enters into plastic phase where the strain can no longer be completely removed.

To ascertain that the material has reached the plastic region, after each load increment, it is unloaded and checked for residual strain.

Presence of residual strain is the indication that the material has entered into plastic phase. If the material has crossed elastic limit, during unloading it follows a path that is parallel to the initial elastic loading path with the same proportionality constant E.

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The strain present in the material after unloading is called the residual strain or plastic strain and the strain disappears during unloading is termed as recoverable or elastic strain. They are represented by OC and CD, respectively in figure.

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If the material is reloaded from point C, it will follow the previous unloading path and line CB becomes its new elastic region with elastic limit defined by point B. Sivakumar Though the new elastic region CB resembles that of the initial elastic region OA, the internal structure of the material in the new state has changed. The change in the microstructure of the material is clear from the fact that the ductility of the material has come down due to strain hardening.

When the material is reloaded, it follows the same path as that of a virgin material and fails on reaching the ultimate strength which remains unaltered due to the intermediate loading and unloading process. However, the materials undergo additional plastic deformation with time even though the load on the material is unaltered.

Mechanics and Strength of Materials

Consider a bar under a constant axial tensile load as shown in figure 1. Figure 1. Though the material is not brought under additional loads, it experiences further plastic deformation with time as shown in the graph in figure 1. This phenomenon is called creep. Neglect the effect of spokes. Calculate the hoop stress in a thin rim, 0. A mild steel thin ring is 1m in diameter.

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Neglecting the effect of spokes, find the maximum speed in r. Figure 2. If the ring rotates at r.

Find the limiting peripheral speed of a cast iron wheel if the allowable stress in cast iron is 6. A composite ring is made of an inner copper ring and outer steel ring. The diameter of the surface of contact of the two rings is mm. If the composite ring rotates at r. Both the rings are rectangular cross section 15 mm in the radial direction and 20 mm in the direction perpendicular to the plane of the ring.

The ring has a mean diameter of mm.

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What will be the change in diameter? Determine the intensities of principal stresses in a flat steel disc of uniform thickness having a diameter of 1 m and rotating at r.

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What will be stresses if the disc has a central hole of 0. A steel disc of uniform thickness and of diameter mm is rotating about its axis at r. Determine the variations of circumferential and radial stresses. A disc of uniform thickness having inner and outer diameters mm and mm respectively is rotating at r. Determine the stress variations along the radius of the disc. Determine the greatest values of radial and hoop stresses for a rotating disc in which the outer and inner radii are 0.

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Take Poissons ratio as 0. Solve problem 12 if it were a long cylinder. A thin uniform disc of inner radius 25 mm and outer diameter mm is rotating at rpm Calculate the maximum and minimum values of circumferential and radial stresses. A steam turbine rotor to run at a speed of r.