Probl Compute gage pressure at the center of pipe. For solution use: (a)British Unit, (b)Standard Industrial Unit? (a) + Specific gravity = 1.00 6 in 12 in 30 in Specific gravity = 2.00 (b)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Problem 1:** Compute the gage pressure at the center of the pipe. For the solution use: (a) British Units, (b) Standard Industrial Units.

### Diagram Explanation:
The diagram presents a U-tube manometer connected to a pipe. The manometer comprises two different fluids with distinct specific gravities. The setup and details are as follows:

#### Components of the Diagram:
1. **The Pipe:**
   - Horizontally oriented, connected to the manometer.
   
2. **Manometer:**
   - **Left Arm:** 
     - Filled with a fluid of specific gravity 1.00.
     - Fluid level is 6 inches higher than the point at where it's connected to the pipe.
   - **Right Arm:** 
     - Filled with a fluid of specific gravity 2.00.
     - The fluid level is 30 inches above the base where it meets the left arm.
 
3. **Dimensions:**
   - The vertical distance from the center of the pipe to the top of the left arm's fluid is 6 inches.
   - The vertical distance from the center of the pipe to the bottom of the right arm's fluid (lower fluid boundary) is 12 inches.
   - The total vertical height of fluid in the right arm is 30 inches.

### Solution Steps:
1. **Identify the fluids in the manometer:**
   - Fluid with specific gravity 1.00 is in the left arm.
   - Fluid with specific gravity 2.00 is in the right arm.

2. **Compute the pressure contributions due to the fluid columns in both arms of the manometer:**
   - Calculate the pressure difference based on the height and specific gravity of the fluids.
   
3. **Convert units if necessary:**
   - For British Units, measurements would be in PSI, feet, and inches.
   - For Standard Industrial Units, measurements may be in Pascals (Pa), meters, etc.

This setup will require the application of fluid mechanics principles, like hydrostatic pressure calculations, to determine the gauge pressure at the center of the pipe.

---

This constitutes the detailed problem description and diagram explanation which will be helpful for students to understand and solve the problem.
Transcribed Image Text:--- **Problem 1:** Compute the gage pressure at the center of the pipe. For the solution use: (a) British Units, (b) Standard Industrial Units. ### Diagram Explanation: The diagram presents a U-tube manometer connected to a pipe. The manometer comprises two different fluids with distinct specific gravities. The setup and details are as follows: #### Components of the Diagram: 1. **The Pipe:** - Horizontally oriented, connected to the manometer. 2. **Manometer:** - **Left Arm:** - Filled with a fluid of specific gravity 1.00. - Fluid level is 6 inches higher than the point at where it's connected to the pipe. - **Right Arm:** - Filled with a fluid of specific gravity 2.00. - The fluid level is 30 inches above the base where it meets the left arm. 3. **Dimensions:** - The vertical distance from the center of the pipe to the top of the left arm's fluid is 6 inches. - The vertical distance from the center of the pipe to the bottom of the right arm's fluid (lower fluid boundary) is 12 inches. - The total vertical height of fluid in the right arm is 30 inches. ### Solution Steps: 1. **Identify the fluids in the manometer:** - Fluid with specific gravity 1.00 is in the left arm. - Fluid with specific gravity 2.00 is in the right arm. 2. **Compute the pressure contributions due to the fluid columns in both arms of the manometer:** - Calculate the pressure difference based on the height and specific gravity of the fluids. 3. **Convert units if necessary:** - For British Units, measurements would be in PSI, feet, and inches. - For Standard Industrial Units, measurements may be in Pascals (Pa), meters, etc. This setup will require the application of fluid mechanics principles, like hydrostatic pressure calculations, to determine the gauge pressure at the center of the pipe. --- This constitutes the detailed problem description and diagram explanation which will be helpful for students to understand and solve the problem.
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