**Part B - Normal Strain, Cross-Sectional Area, Load, and Poisson’s Ratio**Four axially loaded members are shown below. All members have the same value for \( E \) (Young’s modulus).**Task:** Rank the members from largest to smallest absolute value of the average normal strain perpendicular to the applied load at cross section a-a shown in the figure.*Note: Refer to the accompanying diagram for a visual representation of the axially loaded members to complete the ranking task.* The diagram illustrates four horizontal cylinders subjected to axial forces. The cylinders vary in area and are labeled with their respective Poisson's ratios.1. **First Cylinder**: - **Forces**: \( \frac{P}{2} \) applied on both sides. - **Area**: \( \frac{A}{2} \) - **Poisson's Ratio**: \( \frac{\nu}{3} \)2. **Second Cylinder**: - **Forces**: \( P \) applied on both sides. - **Area**: \( A \) - **Poisson's Ratio**: \( \nu \)3. **Third Cylinder**: - **Forces**: \( 2P \) applied on both sides. - **Area**: \( 2A \) - **Poisson's Ratio**: \( 2\nu \)4. **Fourth Cylinder**: - **Forces**: \( 3P \) applied on both sides. - **Area**: \( 3A \) - **Poisson's Ratio**: \( \frac{\nu}{2} \)Below the cylinders, there is a row labeled from "Largest" to "Smallest", pointing towards a possible task or activity, possibly organizing or comparing these properties in order of magnitude.

There are four cases in which all the components have different cross sectional areas and load and…

Part B - Normal strain, cross-sectional area, load, and Poisson's ratio Four axially loaded members are shown below. All members have the same value for E (Young's modulus). Rank the members from largest to smallest absolute value of the average normal strain perpendicular to the applied load at cross section a-a shown in the figure.

Part B - Normal strain, cross-sectional area, load, and Poisson's ratio Four axially loaded members are shown below. All members have the same value for E (Young's modulus). Rank the members from largest to smallest absolute value of the average normal strain perpendicular to the applied load at cross section a-a shown in the figure.

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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Question

**Part B - Normal Strain, Cross-Sectional Area, Load, and Poisson’s Ratio**

Four axially loaded members are shown below. All members have the same value for \( E \) (Young’s modulus).

**Task:** Rank the members from largest to smallest absolute value of the average normal strain perpendicular to the applied load at cross section a-a shown in the figure.

*Note: Refer to the accompanying diagram for a visual representation of the axially loaded members to complete the ranking task.*

The diagram illustrates four horizontal cylinders subjected to axial forces. The cylinders vary in area and are labeled with their respective Poisson's ratios.

1. **First Cylinder**:
- **Forces**: \( \frac{P}{2} \) applied on both sides.
- **Area**: \( \frac{A}{2} \)
- **Poisson's Ratio**: \( \frac{\nu}{3} \)

2. **Second Cylinder**:
- **Forces**: \( P \) applied on both sides.
- **Area**: \( A \)
- **Poisson's Ratio**: \( \nu \)

3. **Third Cylinder**:
- **Forces**: \( 2P \) applied on both sides.
- **Area**: \( 2A \)
- **Poisson's Ratio**: \( 2\nu \)

4. **Fourth Cylinder**:
- **Forces**: \( 3P \) applied on both sides.
- **Area**: \( 3A \)
- **Poisson's Ratio**: \( \frac{\nu}{2} \)

Below the cylinders, there is a row labeled from "Largest" to "Smallest", pointing towards a possible task or activity, possibly organizing or comparing these properties in order of magnitude.

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