A steel rod, circular in cross-section, tapers from 30 mm diameter to 15 mm diameter over a length of 600 mm. Find how much its length will increase under a pull of 20 kN if Young's modulus of elasticity = 200 kN/mm?. Derive the formula used.

A steel rod, circular in cross-section, tapers from 30 mm diameter to 15 mm diameter over a length of 600 mm. Find how much its length will increase under a pull of 20 kN if Young's modulus of elasticity = 200 kN/mm?. Derive the formula used.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter10: Force And Force-related Variables In Engineering

Section: Chapter Questions

Problem 29P: A structural member with a rectangular cross section as shown in the accompanying figure is used to...

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Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

A steel rod, circular in cross-section, tapers from 30 mm diameter to 15 mm diameter over a length
of 600 mm. Find how much its length will increase under a pull of 20 kN if Young's modulus of
elasticity
= 200 kN/mm2. Derive the formula used.

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