Select the lightest rectangular (not square) HSS for a column to support a service dead load of 33 kips and a service live load of 82 kips. The member is 27 feet long and is pinned at the ends. It is supported in the weak direction at a point 12 feet from the top. Use Fy=46ksi .(Tables can't be used directly for design since Fy is not 50 ksi. However, they can serve as starting point) 27' x-axis 12' 15' X y-axis

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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### Column Selection Problem for Hollow Structural Section (HSS)

**Problem Statement:**
Select the lightest rectangular (not square) Hollow Structural Section (HSS) for a column to support a service dead load of 33 kips and a service live load of 82 kips. The member is 27 feet long and is pinned at the ends. It is supported in the weak direction at a point 12 feet from the top. Use Fy = 46 ksi. (Note: Tables can’t be used directly for design since Fy is not 50 ksi. However, they can serve as a starting point).

#### Load and Support Conditions:
- **Service Dead Load (D)**: 33 kips
- **Service Live Load (L)**: 82 kips
- **Total Service Load (P)**: 33 kips + 82 kips = 115 kips
- **HSS Length (L)**: 27 feet
- **Pinned Ends**
- **Intermediate Support**: In the weak direction, 12 feet from the top

#### Material Properties:
- **Yield Strength (Fy)**: 46 ksi

#### Graphical Representation:

The diagram provided illustrates the column with the following details:
1. **Overall Length**: Indicated as 27 feet.
2. **Intermediate Support Point**: Located 12 feet from the top along the weak direction.
3. Two axes are indicated:
   - **x-axis** (vertical): Represents the overall length of the column.
   - **y-axis** (horizontal): Represents the weak direction support 15 feet from the bottom.

This scenario sets up the design requirements for selecting an appropriate HSS column, considering both the load conditions and the material properties.
Transcribed Image Text:### Column Selection Problem for Hollow Structural Section (HSS) **Problem Statement:** Select the lightest rectangular (not square) Hollow Structural Section (HSS) for a column to support a service dead load of 33 kips and a service live load of 82 kips. The member is 27 feet long and is pinned at the ends. It is supported in the weak direction at a point 12 feet from the top. Use Fy = 46 ksi. (Note: Tables can’t be used directly for design since Fy is not 50 ksi. However, they can serve as a starting point). #### Load and Support Conditions: - **Service Dead Load (D)**: 33 kips - **Service Live Load (L)**: 82 kips - **Total Service Load (P)**: 33 kips + 82 kips = 115 kips - **HSS Length (L)**: 27 feet - **Pinned Ends** - **Intermediate Support**: In the weak direction, 12 feet from the top #### Material Properties: - **Yield Strength (Fy)**: 46 ksi #### Graphical Representation: The diagram provided illustrates the column with the following details: 1. **Overall Length**: Indicated as 27 feet. 2. **Intermediate Support Point**: Located 12 feet from the top along the weak direction. 3. Two axes are indicated: - **x-axis** (vertical): Represents the overall length of the column. - **y-axis** (horizontal): Represents the weak direction support 15 feet from the bottom. This scenario sets up the design requirements for selecting an appropriate HSS column, considering both the load conditions and the material properties.
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