A steel cable of diameter in. is attached to an eyebolt and tensioned to 520 lb. Calculate the stress in the cable and express it in the dimensions psi, ksi, Pa, kPa, and MPa. (Express your answers using three significant figures.) psi ksi x107 Pa x105 kPa MPa
A steel cable of diameter in. is attached to an eyebolt and tensioned to 520 lb. Calculate the stress in the cable and express it in the dimensions psi, ksi, Pa, kPa, and MPa. (Express your answers using three significant figures.) psi ksi x107 Pa x105 kPa MPa
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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![### Calculating Stress in a Steel Cable
#### Problem Statement:
A steel cable of diameter \( \frac{3}{16} \) in. is attached to an eyebolt and tensioned to 520 lb. Calculate the stress in the cable and express it in the dimensions psi, ksi, Pa, kPa, and MPa.
#### Diagram Explanation:
The diagram shows a steel cable attached to an eyebolt. The force \( F \) is applied along the cable, indicating tension.
#### Stress Calculation:
The stress on a cable is defined as the force applied divided by the cross-sectional area of the cable.
\[ \sigma = \frac{F}{A} \]
Where:
- \( \sigma \) is the stress.
- \( F \) is the force applied (520 lb).
- \( A \) is the cross-sectional area of the cable.
**Converting Diameter to Radius:**
\[ d = \frac{3}{16} \text{ in} \]
\[ r = \frac{d}{2} \]
**Cross-Sectional Area:**
\[ A = \pi r^2 \]
#### Units of Stress:
1. **Psi**: Pounds per square inch.
2. **Ksi**: Thousand pounds per square inch.
3. **Pa**: Pascals (N/m²).
4. **kPa**: Kilopascals.
5. **MPa**: Megapascals.
#### Answer Expression:
(Express your answers using three significant figures.)
\[
\sigma = \_\_\_\_\_ \, \text{psi}
\]
\[
\sigma = \_\_\_\_\_ \, \text{ksi}
\]
\[
\sigma = \_\_\_\_\_ \times 10^7 \, \text{Pa}
\]
\[
\sigma = \_\_\_\_\_ \times 10^5 \, \text{kPa}
\]
\[
\sigma = \_\_\_\_\_ \, \text{MPa}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca543ba1-431b-41e8-8bdd-c0f65bf0b2e6%2F0cd71e46-aa9c-4b17-9717-bbeb7865406f%2Ffvyfuy_processed.png&w=3840&q=75)
Transcribed Image Text:### Calculating Stress in a Steel Cable
#### Problem Statement:
A steel cable of diameter \( \frac{3}{16} \) in. is attached to an eyebolt and tensioned to 520 lb. Calculate the stress in the cable and express it in the dimensions psi, ksi, Pa, kPa, and MPa.
#### Diagram Explanation:
The diagram shows a steel cable attached to an eyebolt. The force \( F \) is applied along the cable, indicating tension.
#### Stress Calculation:
The stress on a cable is defined as the force applied divided by the cross-sectional area of the cable.
\[ \sigma = \frac{F}{A} \]
Where:
- \( \sigma \) is the stress.
- \( F \) is the force applied (520 lb).
- \( A \) is the cross-sectional area of the cable.
**Converting Diameter to Radius:**
\[ d = \frac{3}{16} \text{ in} \]
\[ r = \frac{d}{2} \]
**Cross-Sectional Area:**
\[ A = \pi r^2 \]
#### Units of Stress:
1. **Psi**: Pounds per square inch.
2. **Ksi**: Thousand pounds per square inch.
3. **Pa**: Pascals (N/m²).
4. **kPa**: Kilopascals.
5. **MPa**: Megapascals.
#### Answer Expression:
(Express your answers using three significant figures.)
\[
\sigma = \_\_\_\_\_ \, \text{psi}
\]
\[
\sigma = \_\_\_\_\_ \, \text{ksi}
\]
\[
\sigma = \_\_\_\_\_ \times 10^7 \, \text{Pa}
\]
\[
\sigma = \_\_\_\_\_ \times 10^5 \, \text{kPa}
\]
\[
\sigma = \_\_\_\_\_ \, \text{MPa}
\]
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