a) Sketch a stress-strain diagram for a metal indicating the proportional limit, yield point, tensile strength including the regions of elastic deformation and plastic deformation. b) A tensile stress is being applied along the axial direction of a cylindrical rod. The rod has a diameter of 8 mm and Young's modulus of 120 GPa. If the axial strain and the elongation of the rod are 4.13 x 10-3 and 7 x 10-5 m, respectively, compute: - į. The initial length of the rod ii. The reduction of diameter if the final diameter of the rod is 7.996 mm iii. The lateral strain iv. The Poisson's ratio v. The cross-sectional area of the rod vi. The applied stress vii. The load required to produce the mentioned deformation viii. The percentage of elongation

a) Sketch a stress-strain diagram for a metal indicating the proportional limit, yield point, tensile strength including the regions of elastic deformation and plastic deformation. b) A tensile stress is being applied along the axial direction of a cylindrical rod. The rod has a diameter of 8 mm and Young's modulus of 120 GPa. If the axial strain and the elongation of the rod are 4.13 x 10-3 and 7 x 10-5 m, respectively, compute: - į. The initial length of the rod ii. The reduction of diameter if the final diameter of the rod is 7.996 mm iii. The lateral strain iv. The Poisson's ratio v. The cross-sectional area of the rod vi. The applied stress vii. The load required to produce the mentioned deformation viii. The percentage of elongation

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).

Question

a) Sketch a stress-strain diagram for a metal indicating the proportional limit, yield point,
tensile strength including the regions of elastic deformation and plastic deformation.
b) A tensile stress is being applied along the axial direction of a cylindrical rod. The rod has
a diameter of 8 mm and Young's modulus of 120 GPa. If the axial strain and the
elongation of the rod are 4.13 x 103 and 7 x 10-5 m, respectively, compute: -
į. The initial length of the rod
ii. The reduction of diameter if the final diameter of the rod is 7.996 mm
iii. The lateral strain
iv. The Poisson's ratio
v. The cross-sectional area of the rod
vi. The applied stress
vii. The load required to produce the mentioned deformation
viii. The percentage of elongation

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