Answered: Compound axial member ABC has a uniform…

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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Compound axial member ABC has a uniform diameter of d=1.45 in. Segment (1) is an aluminum [E1=10,000 ksi] alloy rod with a length of L1=88 in. Segment (2) is a copper [E2=17,000 ksi] alloy rod with a length of L2=128 in. When axial force P is applied, a strain gage attached to copper segment (2) measures a normal strain of ε2=2200 μin./in. in the longitudinal direction. What is the total elongation of member ABC?

answer is in inches

Expert Solution

Step 1

Given, A compound axial member made of Aluminum and copper

Diameter of the axial member, $d = 1.45 i n$ .

Youngs modulus, $E_{1} = 10000 k s i a n d E_{2} = 17000 k s i$

Length of segment, $L_{1} = 88 i n a n d L_{2} = 128 i n$ .

The area of cross section of both segments are same, $A_{1} = A_{2} = A$

$\begin{array}{rcl} A r e a, A & = & \frac{π}{4} d^{2} \\ = & \frac{π}{4} {(1.45)}^{2} \\ = & 1.6513 i n^{2} \end{array}$

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