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?Homework 2 Problem 3.5 Determine the approximate amount of elastic recovery Exp

ID: 1839088 • Letter: #

Question

?Homework 2 Problem 3.5 Determine the approximate amount of elastic recovery Express your answer to three significant figures and include appropriate units The stress-strain dagram for a steel alloy having an original diameter of 0.7 in and a gage length of 4 in is shown in the figure below(Figure 1). The specimen is loaded until it is stressed to 70 ksi Amount of Elastic recovery in Submit Figure 1 of1 Incorrect; Try Again; 2 attempts remaining (kai) Part B 70 Determine the increase in the gage length after it is unloaded Express your answer to three significant figures and include appropriate units. so 30 20 10 (im /in) ongation- 0.1565 0 004 008 012 916 020 024 0.2 Permanent oel in x.

Explanation / Answer

PART A:

Strain at yield point (i.e. at stress value of 40 psi where linear region ends) = 0.001

Elastic recovery = gauge length x yield strain

Elastic recovery = 4 x 0.001 = 0.004 inch

PART B:

Strain at failure = 0.26 ( approximately in between 0.24 & 0.28)

Elastic recovery strain = 0.001

Permanent set strain = strain at failure - elastic recovery strain

Permanent set strain = 0.26 - 0.001 = 0.259

Increase in gauge length = gauge length x permanent set strain

Increase in gauge length = 4 x 0.259= 1.036 inch

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