Answered: A cylindrical brass rod with a minimum…

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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A cylindrical brass rod with a minimum tensile strength of 450 MPa, a ductility of at least 13% EL (elongation), and a final diameter of 12.7mm is required. You have in your inventory some 19.0mm diameter brass stock that has been cold worked to 35%. Assuming that the cross section of the rod is still circular after being cold worked, and that brass experiences cracking at 65% CW, describe the necessary working steps in order to achieve the final product. Take the expression for % cold work to be = (Ao - Af)/ Ao x 100%, where Ao and Af are the original and final circular cross-sectional areas of the rod.

140
70
900
1040 Steel
60
120
800
50
700
100
40
Brass
Brass
30
500
20
400
Сорper
1040 Steel
300
10
40
Copper
200
30 40
10
30 40 50 60 70
10
20
50
60
70
20
Percent cold work
Percent cold work
()
Figures for Q2 (b) & (c) – Tensile Strength & Ductility against Percent of Cold Work for the Brass
Rod in Question. Adapted from Figure 7.19, pg 192, "An Introduction to Materials Science &
Engineering", 7th Ed, by W. D. Callister Jr., 2006
Tensile strength (MPa)
T
Tensile strength (ksi)
Ductility (%EL)

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