P,= ? P= ? The column shown is made of a W14x132 section of A992 steel. The column is pinned at the top and fixed at the base and has a span of 40 ft 18 ft On the weak axis, a pin support is provided at 18 ft from the top to strengthen the column. W 14x132 A992 40 ft Steel 22 ft Use theoretical k value based on the support conditions, determine the ultimate Strong Axis Weak Axis ↑ ↑ compression capacity of this column. P= ? P,= ?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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**Column Analysis: Ultimate Compression Capacity**

The given column is constructed using a W14x132 section of A992 steel. It is characterized by the following support conditions:

- **Pinned at the Top**: The top of the column allows for rotation but not for horizontal movement.
- **Fixed at the Base**: The base of the column is rigid, preventing both rotation and translation.
- **Span**: The total height of the column is 40 feet.

**Diagram Explanation**:

- The diagram illustrates a vertical steel column, with its strong and weak axes marked.
- Two downward arrows labeled \(P_u = ?\) represent the unknown ultimate load at both ends of the column.
- The strong and weak axes are shown, with indicators pointing to potential ultimate load calculations (\(P_u\)) for each axis.
- An additional pin support is introduced on the weak axis, positioned 18 feet from the column’s top, to enhance stability.

**Objective**:

To determine the ultimate compression capacity (\(P_u\)) of this column using the theoretical k-value. This calculation is based on the given support conditions and structural properties.
Transcribed Image Text:**Column Analysis: Ultimate Compression Capacity** The given column is constructed using a W14x132 section of A992 steel. It is characterized by the following support conditions: - **Pinned at the Top**: The top of the column allows for rotation but not for horizontal movement. - **Fixed at the Base**: The base of the column is rigid, preventing both rotation and translation. - **Span**: The total height of the column is 40 feet. **Diagram Explanation**: - The diagram illustrates a vertical steel column, with its strong and weak axes marked. - Two downward arrows labeled \(P_u = ?\) represent the unknown ultimate load at both ends of the column. - The strong and weak axes are shown, with indicators pointing to potential ultimate load calculations (\(P_u\)) for each axis. - An additional pin support is introduced on the weak axis, positioned 18 feet from the column’s top, to enhance stability. **Objective**: To determine the ultimate compression capacity (\(P_u\)) of this column using the theoretical k-value. This calculation is based on the given support conditions and structural properties.
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