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pports a compressive load of P = 45 kN. A top view of the own. The cross-sectional dimensions of the post are b = 2: mm and zp = 47 mm from the centroid of the post. Deterr P

pports a compressive load of P = 45 kN. A top view of the own. The cross-sectional dimensions of the post are b = 2: mm and zp = 47 mm from the centroid of the post. Deterr P

Elements Of Electromagnetics
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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A short rectangular post supports a compressive load of \( P = 45 \, \text{kN} \). The image shows a top view of the post indicating where the load \( P \) is applied. The cross-sectional dimensions of the post are \( b = 210 \, \text{mm} \) and \( d = 140 \, \text{mm} \). The load \( P \) is applied at offset distances of \( y_p = 53 \, \text{mm} \) and \( z_p = 47 \, \text{mm} \) from the centroid of the post. The task is to determine the normal stresses at corners \( A \), \( B \), \( C \), and \( D \) of the post. **Diagram Explanation:** - On the left, a 3D view of the post is depicted with load \( P \) applied from the top. - The \( x \)-axis extends horizontally, and the \( y \)-axis extends perpendicularly along the depth of the post. The \( z \)-axis runs vertically. - The corners \( A \), \( B \), \( C \), and \( D \) are labeled on the base of the post. - On the right, a 2D top-view diagram illustrates the placement of load \( P \) relative to the centroid. - Offset distances \( y_p \) and \( z_p \) indicate the location of load \( P \) from the centroid.
Transcribed Image Text:A short rectangular post supports a compressive load of \( P = 45 \, \text{kN} \). The image shows a top view of the post indicating where the load \( P \) is applied. The cross-sectional dimensions of the post are \( b = 210 \, \text{mm} \) and \( d = 140 \, \text{mm} \). The load \( P \) is applied at offset distances of \( y_p = 53 \, \text{mm} \) and \( z_p = 47 \, \text{mm} \) from the centroid of the post. The task is to determine the normal stresses at corners \( A \), \( B \), \( C \), and \( D \) of the post. **Diagram Explanation:** - On the left, a 3D view of the post is depicted with load \( P \) applied from the top. - The \( x \)-axis extends horizontally, and the \( y \)-axis extends perpendicularly along the depth of the post. The \( z \)-axis runs vertically. - The corners \( A \), \( B \), \( C \), and \( D \) are labeled on the base of the post. - On the right, a 2D top-view diagram illustrates the placement of load \( P \) relative to the centroid. - Offset distances \( y_p \) and \( z_p \) indicate the location of load \( P \) from the centroid.
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