Answered: Nominal or engineering strain in the…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

To determine the nominal or engineering stress and strain experienced by a specimen of a material while it is subjected to a tension test, and to be able to read important values from a conventional stress-strain diagram obtained from the test.
A tension test is being conducted on a steel-rod specimen with a gauge length of L0=2 in and initial diameter of d0=0.5 in. Data were collected to form the conventional stress-strain diagram as shown. From the diagram, f = 73.0 ksi , e = 101.0 ksi g=83.0ksi, and h=0.15in/in

Part A - Nominal or engineering strain in the rod

Assuming that the strain remains constant throughout the region between the gauge points, determine the nominal strain ε experienced by the rod if it is elongated to L = 2.5 in .

Express the nominal strain in inches per inch to three significant figures.

Part B - Nominal or engineering stress in the specimen

Assuming that the stress is constant over the cross-sectional area and if the tension force used is P = 8.0 kips , find the nominal stress experienced by the rod.

Express the nominal stress in kilopounds per square inch to three significant figures.

Part C - Force needed to reach the ultimate stress

Determine the force P needed to reach the ultimate stress in the steel-rod specimen.

Express the force in kips to three significant figures.

σ (ksi)
100
90
80-
70
60-
50
40
30
20
10
--o=f
σ=e
-Lo
do
σ=8
.02.04 .06.08.10 .12 .14 .16.18 20 22 24
E = h
& (in /in.)

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