A detailed view is shown for the connection Bin the concrete trough. The tension in cable B is 450 lb. Determine the shear stress acting in the shackle's 3/8 in. bolt.
A detailed view is shown for the connection Bin the concrete trough. The tension in cable B is 450 lb. Determine the shear stress acting in the shackle's 3/8 in. bolt.
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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![### Educational Material: Analyzing Shear Stress in Mechanical Connections
**Problem Statement:**
A detailed view is shown for the connection **B** in the concrete trough. The tension in cable **B** is 450 lb. Determine the shear stress acting in the shackle's **3/8 in.** bolt.
**Instructions:**
Express your answer using three significant figures.
**Diagram Explanation:**
- The diagram illustrates a mechanical system involving a shackle connected to a concrete trough.
- The trough is suspended by two cables, forming a V-shape, which indicates the connection point **B**.
- There is an enlarged view of the shackle, showing the bolt in question.
**Key Data:**
- **Tension in cable B:** 450 lb
- **Bolt diameter:** 3/8 in.
**Task:**
Calculate the shear stress, denoted by \( \tau \), in ksi (kilopound per square inch), acting on the shackle's bolt.
- **Formula for Shear Stress:**
\[
\tau = \frac{F}{A}
\]
where \( F \) is the force (tension in cable) and \( A \) is the cross-sectional area of the bolt.
- Determine the cross-sectional area \( A \) of the bolt:
\[
A = \pi \left(\frac{d}{2}\right)^2
\]
where \( d \) is the diameter of the bolt.
### Solution:
Substitute the given values into the equations to find the shear stress. Ensure all units are compatible, and express the final answer in ksi using three significant figures.
- \(\tau = \_\_\_\) ksi
This exercise aids in understanding the concepts of tension, shear stress, and application in engineering mechanics.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca543ba1-431b-41e8-8bdd-c0f65bf0b2e6%2F1422bccb-ab2c-4b41-bf86-8bce3cb69a73%2F3meyapb_processed.png&w=3840&q=75)
Transcribed Image Text:### Educational Material: Analyzing Shear Stress in Mechanical Connections
**Problem Statement:**
A detailed view is shown for the connection **B** in the concrete trough. The tension in cable **B** is 450 lb. Determine the shear stress acting in the shackle's **3/8 in.** bolt.
**Instructions:**
Express your answer using three significant figures.
**Diagram Explanation:**
- The diagram illustrates a mechanical system involving a shackle connected to a concrete trough.
- The trough is suspended by two cables, forming a V-shape, which indicates the connection point **B**.
- There is an enlarged view of the shackle, showing the bolt in question.
**Key Data:**
- **Tension in cable B:** 450 lb
- **Bolt diameter:** 3/8 in.
**Task:**
Calculate the shear stress, denoted by \( \tau \), in ksi (kilopound per square inch), acting on the shackle's bolt.
- **Formula for Shear Stress:**
\[
\tau = \frac{F}{A}
\]
where \( F \) is the force (tension in cable) and \( A \) is the cross-sectional area of the bolt.
- Determine the cross-sectional area \( A \) of the bolt:
\[
A = \pi \left(\frac{d}{2}\right)^2
\]
where \( d \) is the diameter of the bolt.
### Solution:
Substitute the given values into the equations to find the shear stress. Ensure all units are compatible, and express the final answer in ksi using three significant figures.
- \(\tau = \_\_\_\) ksi
This exercise aids in understanding the concepts of tension, shear stress, and application in engineering mechanics.
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