B 60 mm 15 mm- 50 mm E 500 mm 8.31 A pipe of diameter 60 mm is gripped by the Stillson wrench shown. Portions AB and DE of the wrench are rigidly attached to each other, and portion CF is connected by a pin at D. If the wrench is to grip the pipe and be self-locking, determine the required minimum coefficients of friction at A and C. F Fig. P8.31

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Figure P8.31: Analysis of a Stillson Wrench**

**Description:**

The figure illustrates a Stillson wrench gripping a pipe with a diameter of 60 mm. The wrench is depicted with several key dimensions and labeled points relevant to the problem.

- **AB and DE:** These portions of the wrench are rigidly attached to each other.
- **CF:** This portion is connected by a pin at point D.
- **Points A, B, C, D, E, F:** These are specified locations on the wrench and pipe setup.
- The top jaw of the wrench (point A) is 15 mm from point B.
- Points C and B are 50 mm apart vertically.
- The total vertical distance from point E to F is 500 mm. 
- The diameter of the pipe is 60 mm.
  
**Objective:**
Determine the required minimum coefficients of friction at points A and C to ensure the wrench grips the pipe and remains self-locking.

**Problem Statement (8.31):**

"A pipe of diameter 60 mm is gripped by the Stillson wrench shown. Portions AB and DE of the wrench are rigidly attached to each other, and portion CF is connected by a pin at D. If the wrench is to grip the pipe and be self-locking, determine the required minimum coefficients of friction at A and C."
Transcribed Image Text:**Figure P8.31: Analysis of a Stillson Wrench** **Description:** The figure illustrates a Stillson wrench gripping a pipe with a diameter of 60 mm. The wrench is depicted with several key dimensions and labeled points relevant to the problem. - **AB and DE:** These portions of the wrench are rigidly attached to each other. - **CF:** This portion is connected by a pin at point D. - **Points A, B, C, D, E, F:** These are specified locations on the wrench and pipe setup. - The top jaw of the wrench (point A) is 15 mm from point B. - Points C and B are 50 mm apart vertically. - The total vertical distance from point E to F is 500 mm. - The diameter of the pipe is 60 mm. **Objective:** Determine the required minimum coefficients of friction at points A and C to ensure the wrench grips the pipe and remains self-locking. **Problem Statement (8.31):** "A pipe of diameter 60 mm is gripped by the Stillson wrench shown. Portions AB and DE of the wrench are rigidly attached to each other, and portion CF is connected by a pin at D. If the wrench is to grip the pipe and be self-locking, determine the required minimum coefficients of friction at A and C."
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