An axial load P is applied to a 150"-long continuous bar with the cross-sectional areas (4) shown in the figure below. The stress-strain relation of the material used to make this bar obtained during a tension test can be expressed as follows: P € = A = 1 in² 50"- 0 16000 where o is the normal stress in ksi. a) Determine the axial elongation (in inches) and strain (in %) of the bar when P = 5 kips. b) Find the permanent elongation (in inches) and strain (in %) of the bar after removal of P in a). + 3 (165)³ A=¹in² 100"- P Note: You can assume that the elastic modulus (E) of material of the bar is equal, at all times, to the slope of the stress-strain curve at the origin.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.6.7P: A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The...
icon
Related questions
Question
100%
An axial load P is applied to a 150"-long continuous bar with the cross-sectional areas (4) shown
in the figure below. The stress-strain relation of the material used to make this bar obtained during
a tension test can be expressed as follows:
P
€ =
A = 1 in²
-50"-
O
16000
where o is the normal stress in ksi.
a) Determine the axial elongation (in inches) and strain (in %) of the bar when P = 5 kips.
b) Find the permanent elongation (in inches) and strain (in %) of the bar after removal of P in
a).
+
(165)³
A = ¹in²
100"-
P
Note: You can assume that the elastic modulus (E) of material of the bar is equal, at all
times, to the slope of the stress-strain curve at the origin.
Transcribed Image Text:An axial load P is applied to a 150"-long continuous bar with the cross-sectional areas (4) shown in the figure below. The stress-strain relation of the material used to make this bar obtained during a tension test can be expressed as follows: P € = A = 1 in² -50"- O 16000 where o is the normal stress in ksi. a) Determine the axial elongation (in inches) and strain (in %) of the bar when P = 5 kips. b) Find the permanent elongation (in inches) and strain (in %) of the bar after removal of P in a). + (165)³ A = ¹in² 100"- P Note: You can assume that the elastic modulus (E) of material of the bar is equal, at all times, to the slope of the stress-strain curve at the origin.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 5 images

Blurred answer
Knowledge Booster
Types of Properties of Engineering Materials
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning