A bent pipe is connected by a thrust bearing and a cable as shown. If a Force, F = 184 lb, is applied, what are the reactions at the thrust bearing and in the cable. The dimensions shown are a = 8.7 ft, b = 6.4 ft, and c = 4.5 ft. %3D

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
Question
**Problem Statement**

A bent pipe is connected by a thrust bearing and a cable as shown in the diagram. If a force, \( F = 184 \) lb, is applied, determine the reactions at the thrust bearing and the cable. The dimensions are specified as follows: \( a = 8.7 \) ft, \( b = 6.4 \) ft, and \( c = 4.5 \) ft.

**Diagram Explanation**

The diagram illustrates a three-dimensional coordinate system with axes labeled \( x \), \( y \), and \( z \).

- **Pipe Structure**: The bent pipe is depicted as an angular structure lying in the \( xz \)-plane and extending into the \( y \)-direction at the end.

- **Thrust Bearing**: The thrust bearing is located at one intersection of the pipe, allowing rotation and translation along certain axes.

- **Cable**: A cable is indicated, maintaining structural stability.

- **Force Vector \( \vec{F} \)**: The external force \( \vec{F} \) acts diagonally, originating near the cable and thrust bearing, aligned primarily with the \( y \)-axis.

- **Dimensions**: 
  - **\( a \)**: The primary length along the \( z \)-axis and the bent part perpendicular to the \( z \)-axis.
  - **\( b \)**: Represents the length along the \( y \)-axis where the force vector acts.
  - **\( c \)**: The extension in the horizontal direction connecting the bent sections along the \( x \)-axis.

The goal of the problem is to analyze the mechanics to understand the effect of the applied force on different components of the structure, calculating the reactions at the thrust bearing and the cable.
Transcribed Image Text:**Problem Statement** A bent pipe is connected by a thrust bearing and a cable as shown in the diagram. If a force, \( F = 184 \) lb, is applied, determine the reactions at the thrust bearing and the cable. The dimensions are specified as follows: \( a = 8.7 \) ft, \( b = 6.4 \) ft, and \( c = 4.5 \) ft. **Diagram Explanation** The diagram illustrates a three-dimensional coordinate system with axes labeled \( x \), \( y \), and \( z \). - **Pipe Structure**: The bent pipe is depicted as an angular structure lying in the \( xz \)-plane and extending into the \( y \)-direction at the end. - **Thrust Bearing**: The thrust bearing is located at one intersection of the pipe, allowing rotation and translation along certain axes. - **Cable**: A cable is indicated, maintaining structural stability. - **Force Vector \( \vec{F} \)**: The external force \( \vec{F} \) acts diagonally, originating near the cable and thrust bearing, aligned primarily with the \( y \)-axis. - **Dimensions**: - **\( a \)**: The primary length along the \( z \)-axis and the bent part perpendicular to the \( z \)-axis. - **\( b \)**: Represents the length along the \( y \)-axis where the force vector acts. - **\( c \)**: The extension in the horizontal direction connecting the bent sections along the \( x \)-axis. The goal of the problem is to analyze the mechanics to understand the effect of the applied force on different components of the structure, calculating the reactions at the thrust bearing and the cable.
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