### Diagram Description The image presents an engineering problem involving the determination of the best outside diameter for structural components. The setup includes two sections: a circular pipe (SECT. 1) and square tubing (SECT. 2). #### Diagram Elements 1. **Load Specifications:** - **D = 875 kN** - **L = 1450 kN** - Length: **4.8 meters** - Yield strength \( F_y = 290 \, \text{MPa} \) 2. **Section 1: Pipe** - Depicted as a cylindrical section with outer diameter \( D_o \) - Wall thickness: \( t = 12 \, \text{mm} \) 3. **Section 2: Square Tubing** - Depicted as a square section with outer dimension \( S_o \) - Wall thickness: \( t = 12 \, \text{mm} \) #### Question The task is to determine which of the given diameters provides the best outside diameter in increments of 2 mm. #### Options - 318 mm - 400 mm - 330 mm - 322 mm Each option represents a potential solution for the structure's outside diameter based on the constraints and specifications given.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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### Diagram Description

The image presents an engineering problem involving the determination of the best outside diameter for structural components. The setup includes two sections: a circular pipe (SECT. 1) and square tubing (SECT. 2).

#### Diagram Elements

1. **Load Specifications:**
   - **D = 875 kN**
   - **L = 1450 kN**
   - Length: **4.8 meters**
   - Yield strength \( F_y = 290 \, \text{MPa} \)

2. **Section 1: Pipe**
   - Depicted as a cylindrical section with outer diameter \( D_o \)
   - Wall thickness: \( t = 12 \, \text{mm} \)

3. **Section 2: Square Tubing**
   - Depicted as a square section with outer dimension \( S_o \)
   - Wall thickness: \( t = 12 \, \text{mm} \)

#### Question

The task is to determine which of the given diameters provides the best outside diameter in increments of 2 mm.

#### Options

- 318 mm
- 400 mm
- 330 mm
- 322 mm

Each option represents a potential solution for the structure's outside diameter based on the constraints and specifications given.
Transcribed Image Text:### Diagram Description The image presents an engineering problem involving the determination of the best outside diameter for structural components. The setup includes two sections: a circular pipe (SECT. 1) and square tubing (SECT. 2). #### Diagram Elements 1. **Load Specifications:** - **D = 875 kN** - **L = 1450 kN** - Length: **4.8 meters** - Yield strength \( F_y = 290 \, \text{MPa} \) 2. **Section 1: Pipe** - Depicted as a cylindrical section with outer diameter \( D_o \) - Wall thickness: \( t = 12 \, \text{mm} \) 3. **Section 2: Square Tubing** - Depicted as a square section with outer dimension \( S_o \) - Wall thickness: \( t = 12 \, \text{mm} \) #### Question The task is to determine which of the given diameters provides the best outside diameter in increments of 2 mm. #### Options - 318 mm - 400 mm - 330 mm - 322 mm Each option represents a potential solution for the structure's outside diameter based on the constraints and specifications given.
Expert Solution
Step 1

Given:

D = 875 kN

L = 1450 kN

Fy = 290 MPa

Thickness of the pipe, t = 12 mm

Length of the column. L = 4.8 m

Support condition of the column: One end is fixed and other end hinged

To find:

The best outside diameter (So) of steel pipe section

steps

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