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.
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F919fc4f8-bc37-4123-8b2a-9ca8cd02385f%2F64b33448-cbd1-482b-9d8b-59d7cb8b0ed7%2Ftvk6w3r_processed.png&w=3840&q=75)
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:
To find:
Force in each tube.
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