Question #2: Pressure acts on a wall below as shown. The pressure varies with z-position on the wall by P = (z/100)2, where P has units of Ib/ft2. The wall width is 100 ft, while the wall height is 100 ft. Determine the magnitude and position of the resultant pressure on the wall. Give position in terms of both z and y axis. zA Figure P b. y h lb/ft 100 %3D

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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**Question #2:** Pressure acts on a wall below as shown. The pressure varies with z-position on the wall by \( P = \left(\frac{z}{100}\right)^2 \), where \( P \) has units of lb/ft\(^2\). The wall width is 100 ft, while the wall height is 100 ft. Determine the magnitude and position of the resultant pressure on the wall. Give position in terms of both z and y axis.

**Diagram Explanation:**

The diagram illustrates a three-dimensional view of a wall labeled with coordinates x, y, and z. The origin is marked as \( O \), and the wall extends in the height (h) direction along the z-axis and in the width direction along the y-axis. 

- The dotted lines on the wall face represent the distribution of pressure, which varies according to the formula \( p = \left(\frac{z}{100}\right)^2 \) lb/ft\(^2\) as a function of the z-position. 
- The pressure increases as the position moves upwards along the z-axis, and is depicted by arrows whose length increases with height.
- The orientation is clearly marked with the z-axis pointing upward and the y-axis pointing outwards to the right side.
Transcribed Image Text:**Question #2:** Pressure acts on a wall below as shown. The pressure varies with z-position on the wall by \( P = \left(\frac{z}{100}\right)^2 \), where \( P \) has units of lb/ft\(^2\). The wall width is 100 ft, while the wall height is 100 ft. Determine the magnitude and position of the resultant pressure on the wall. Give position in terms of both z and y axis. **Diagram Explanation:** The diagram illustrates a three-dimensional view of a wall labeled with coordinates x, y, and z. The origin is marked as \( O \), and the wall extends in the height (h) direction along the z-axis and in the width direction along the y-axis. - The dotted lines on the wall face represent the distribution of pressure, which varies according to the formula \( p = \left(\frac{z}{100}\right)^2 \) lb/ft\(^2\) as a function of the z-position. - The pressure increases as the position moves upwards along the z-axis, and is depicted by arrows whose length increases with height. - The orientation is clearly marked with the z-axis pointing upward and the y-axis pointing outwards to the right side.
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