I need to find the forces in each tube but I keep getting stuck. I have been getting really long equations to do algibra onwhich I suspect might be where the error was comming from.

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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I need to find the forces in each tube but I keep getting stuck. I have been getting really long equations to do algibra onwhich I suspect might be where the error was comming from.

The values I have tried are

F2 = -0.97786, and -4.889 kips

**Part 1**

**Correct**

A hollow steel \([E = 30,000\text{ ksi}]\) tube (1) with an outside diameter of 3.25 in. and a wall thickness of 0.225 in. is fastened to a solid 1.75-in.-diameter aluminum \([E = 10,000\text{ ksi}]\) rod. The assembly is attached to unyielding supports at the left and right ends and is loaded as shown. Assume \(P = 18\) kips, \(Q = 10\) kips, \(L_1 = 4\) ft, \(L_2 = 6\) ft, and \(L_3 = 6\) ft. Determine:

(a) the stresses in all parts of the axial structure.  
(b) the deflections of joints \(B\) and \(C\).

**Diagram Explanation:**

The diagram illustrates an axial structure consisting of a hollow steel tube (1) and two aluminum rods (2 and 3), with the following features:
- Tube and rods are aligned horizontally with points \(A\), \(B\), \(C\), and \(D\) marked for joints.
- Forces \(P\) and \(Q\) are applied as indicated by arrows.
- Lengths \(L_1\), \(L_2\), and \(L_3\) represent the sections of the assembly.

**Calculate the cross-sectional area of steel tube (1), \(A_1\), and the cross-sectional area of the aluminum rods (2) and (3).**

**Answers:**

\(A_1 = 2.138 \, \text{in.}^2\)

\(A_2 = A_3 = 2.405 \, \text{in.}^2\)

**Additional Information:**

Links are provided for further reference, such as an eTextbook and media resources.  

**Attempts:** 1 of 6 used
Transcribed Image Text:**Part 1** **Correct** A hollow steel \([E = 30,000\text{ ksi}]\) tube (1) with an outside diameter of 3.25 in. and a wall thickness of 0.225 in. is fastened to a solid 1.75-in.-diameter aluminum \([E = 10,000\text{ ksi}]\) rod. The assembly is attached to unyielding supports at the left and right ends and is loaded as shown. Assume \(P = 18\) kips, \(Q = 10\) kips, \(L_1 = 4\) ft, \(L_2 = 6\) ft, and \(L_3 = 6\) ft. Determine: (a) the stresses in all parts of the axial structure. (b) the deflections of joints \(B\) and \(C\). **Diagram Explanation:** The diagram illustrates an axial structure consisting of a hollow steel tube (1) and two aluminum rods (2 and 3), with the following features: - Tube and rods are aligned horizontally with points \(A\), \(B\), \(C\), and \(D\) marked for joints. - Forces \(P\) and \(Q\) are applied as indicated by arrows. - Lengths \(L_1\), \(L_2\), and \(L_3\) represent the sections of the assembly. **Calculate the cross-sectional area of steel tube (1), \(A_1\), and the cross-sectional area of the aluminum rods (2) and (3).** **Answers:** \(A_1 = 2.138 \, \text{in.}^2\) \(A_2 = A_3 = 2.405 \, \text{in.}^2\) **Additional Information:** Links are provided for further reference, such as an eTextbook and media resources. **Attempts:** 1 of 6 used
Expert Solution
Step 1: Write the given data and what is to find

Given:

table row cell E subscript s end cell equals cell 30000 space k s i end cell row cell D subscript s end cell equals cell 3.25 space i n end cell row cell t subscript s end cell equals cell 0.225 space i n end cell row cell d subscript a l end subscript end cell equals cell 1.75 space i n end cell row cell E subscript a l end subscript end cell equals cell 10000 space k s i end cell row P equals cell 18 space k i p s end cell row Q equals cell 10 space k i p s end cell row cell L subscript 1 end cell equals cell 4 space f t end cell row cell L subscript 2 end cell equals cell 6 space f t end cell row cell L subscript 3 end cell equals cell 6 space f t end cell end table


To find:

Force in each tube.

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