### Practice Problem for Exam 1: Calculating Normal Stress**Objective:**Determine the normal stress throughout the bar.**Guidelines:**- Follow the steps covered in the lecture. Begin by identifying the normal forces in various sections defined by different x-ranges. Subsequently, compute the normal stresses.**Diagram Explanation:**The diagram illustrates a bar consisting of three distinct sections, each with different cross-sectional areas. The sections are marked by points A, B, C, D, and E.- **Section AB:** - Cross-sectional area \( A_1 = 1 \, \text{in}^2 \) - Normal force = 750 lbs- **Section CD:** - Cross-sectional area \( A_2 = 0.25 \, \text{in}^2 \) - Normal force = 500 lbs- **Section DE:** - Cross-sectional area \( A_3 = 0.75 \, \text{in}^2 \) - Normal force = 1000 lbs**Labels:**- \( L_1, L_2, L_3, \) and \( L_4 \) represent the lengths of the segments between points A to B, B to C, C to D, and D to E along the x-axis.**Instructions:**1. Calculate the normal force for each section.2. Use the formula for normal stress \( \sigma = \frac{F}{A} \), where \( F \) is the normal force and \( A \) is the cross-sectional area.3. Apply this to each section individually to find the stress values.This structured approach will enable you to find the distribution of stresses throughout the bar effectively.

Answered: Image /qna-images/answer/851167b3-a7df-415d-9181-63fe8299ce76.jpg

2. (practice problem for Exam 1) Find out the normal stress throughout the bar. - Hint: you should follow what we did in the lecture, find normal forces in different x ranges first, followed by finding the normal stresses. A, = cress-sec = I in? A, = crosi-sec. : 0.25 in? A,= oros-sec = 0.75 int

2. (practice problem for Exam 1) Find out the normal stress throughout the bar. - Hint: you should follow what we did in the lecture, find normal forces in different x ranges first, followed by finding the normal stresses. A, = cress-sec = I in? A, = crosi-sec. : 0.25 in? A,= oros-sec = 0.75 int

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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### Practice Problem for Exam 1: Calculating Normal Stress

**Objective:**
Determine the normal stress throughout the bar.

**Guidelines:**
- Follow the steps covered in the lecture. Begin by identifying the normal forces in various sections defined by different x-ranges. Subsequently, compute the normal stresses.

**Diagram Explanation:**
The diagram illustrates a bar consisting of three distinct sections, each with different cross-sectional areas. The sections are marked by points A, B, C, D, and E.

- **Section AB:**
- Cross-sectional area \( A_1 = 1 \, \text{in}^2 \)
- Normal force = 750 lbs

- **Section CD:**
- Cross-sectional area \( A_2 = 0.25 \, \text{in}^2 \)
- Normal force = 500 lbs

- **Section DE:**
- Cross-sectional area \( A_3 = 0.75 \, \text{in}^2 \)
- Normal force = 1000 lbs

**Labels:**
- \( L_1, L_2, L_3, \) and \( L_4 \) represent the lengths of the segments between points A to B, B to C, C to D, and D to E along the x-axis.

**Instructions:**
1. Calculate the normal force for each section.
2. Use the formula for normal stress \( \sigma = \frac{F}{A} \), where \( F \) is the normal force and \( A \) is the cross-sectional area.
3. Apply this to each section individually to find the stress values.

This structured approach will enable you to find the distribution of stresses throughout the bar effectively.

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