### Axial Compressive Design Strength Calculation#### Problem Statement:Determine the axial compressive design strength of a 24-ft HSS 14 x 10 x 1/4 column section. The base of the column is considered to be fixed while the upper end is assumed to be pinned. The yield strength, \(Fy\), is 46 ksi.#### Diagram Explanation:The diagram on the right consists of two key illustrations:1. **Column Representation**: A vertical column is depicted with its length marked as 24 feet. The end conditions are labeled with one end fixed (base) and the other end pinned (top).2. **Cross-Section of the Column**: An oblong rectangular section is shown with the dimensions labeled as 14 inches (height) and 10 inches (width). These illustrations help in visualizing the geometry and support conditions of the column which are essential for determining its compressive design strength.### Steps to Determine Compressive Strength:1. **Identify Material Properties**: - Yield Strength (\(Fy\)): 46 ksi 2. **Column Specifications**: - Length: 24 feet - Section type: HSS 14 x 10 x 1/43. **Support Conditions**: - Base: Fixed - Top: Pinned### Formula and Calculations:For axially loaded columns with given end conditions, use the appropriate design codes (e.g., AISC Manual) to find the effective length factor, \(K\), and other required parameters. The process usually involves:1. Calculating the slenderness ratio.2. Determining the critical buckling stress.3. Applying the appropriate column design formula.> **Note**: Specific formulas and detailed steps would be derived based on the relevant structural engineering codes and principles, which typically include checks for local buckling, overall column stability, and yielding.This understanding is crucial for students learning about the design and analysis of structural members under axial loads.

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Determine the axial compressive design strength of a 24-ft HSS 14 x 10x 1/4 column section. The base of the column is considered to be fixed while the upper end is assumed to be pinned. Fy= 46 ksi 24' X

Determine the axial compressive design strength of a 24-ft HSS 14 x 10x 1/4 column section. The base of the column is considered to be fixed while the upper end is assumed to be pinned. Fy= 46 ksi 24' X

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

### Axial Compressive Design Strength Calculation

#### Problem Statement:
Determine the axial compressive design strength of a 24-ft HSS 14 x 10 x 1/4 column section. The base of the column is considered to be fixed while the upper end is assumed to be pinned. The yield strength, \(Fy\), is 46 ksi.

#### Diagram Explanation:
The diagram on the right consists of two key illustrations:
1. **Column Representation**: A vertical column is depicted with its length marked as 24 feet. The end conditions are labeled with one end fixed (base) and the other end pinned (top).
2. **Cross-Section of the Column**: An oblong rectangular section is shown with the dimensions labeled as 14 inches (height) and 10 inches (width).

These illustrations help in visualizing the geometry and support conditions of the column which are essential for determining its compressive design strength.

### Steps to Determine Compressive Strength:
1. **Identify Material Properties**:
- Yield Strength (\(Fy\)): 46 ksi

2. **Column Specifications**:
- Length: 24 feet
- Section type: HSS 14 x 10 x 1/4

3. **Support Conditions**:
- Base: Fixed
- Top: Pinned

### Formula and Calculations:
For axially loaded columns with given end conditions, use the appropriate design codes (e.g., AISC Manual) to find the effective length factor, \(K\), and other required parameters. The process usually involves:
1. Calculating the slenderness ratio.
2. Determining the critical buckling stress.
3. Applying the appropriate column design formula.

> **Note**: Specific formulas and detailed steps would be derived based on the relevant structural engineering codes and principles, which typically include checks for local buckling, overall column stability, and yielding.

This understanding is crucial for students learning about the design and analysis of structural members under axial loads.

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