1. Determine the buckling strength of column C1 shown below and check the inelastic column buckling for A572 grade 345 steel material. Use the sections and details shown in the table below for the frame components. The frame is un braced in both directions (i.e. side sway is not prevented). Member C1, C2 & C3 B1 B2 B3 2.4 m 2.4 m B3 B1 B3 B3 B2 Section W460x 177 W530x 85 W410x 100 W360x 122 C2 B1 B2 4.8 m Length (m) 4.80 5.00 5.40 5.20

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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### Understanding Buckling Strength in Steel Frames

#### Problem Statement:
Determine the buckling strength of column C1 as shown in the diagram. Check the inelastic column buckling for A572 grade 345 steel material. Use the sections and details provided in the table below for the frame components. The frame is unbraced in both directions, meaning side sway is not prevented.

#### Frame Components

| Member | Section    | Length (m) |
|--------|------------|------------|
| C1, C2 & C3 | W460x177  | 4.80       |
| B1     | W530x85   | 5.00       |
| B2     | W410x100  | 5.40       |
| B3     | W360x122  | 5.20       |

#### Diagram Description:
The diagram below illustrates the column and beam assembly:

- **Columns (C1, C2, C3):** These are vertical members with a section size of W460x177, each with a length of 4.8 meters.
- **Beams (B1, B2, B3):** 
  - Beam B1 has a section size of W530x85 and spans 5.0 meters.
  - Beam B2 is W410x100 with a span of 5.4 meters.
  - Beam B3 is W360x122, with a span of 5.2 meters.

The structural frame is shown as a vertical central column with attached beams, illustrating the connections and dimensions for each component. Heights separate the beams at intervals of 2.4 meters for B3, and a total height for C1, from bottom to top, of 4.8 meters is indicated. The configuration emphasizes that the overall frame is unbraced laterally, requiring detailed buckling analysis to ensure structural integrity.
Transcribed Image Text:### Understanding Buckling Strength in Steel Frames #### Problem Statement: Determine the buckling strength of column C1 as shown in the diagram. Check the inelastic column buckling for A572 grade 345 steel material. Use the sections and details provided in the table below for the frame components. The frame is unbraced in both directions, meaning side sway is not prevented. #### Frame Components | Member | Section | Length (m) | |--------|------------|------------| | C1, C2 & C3 | W460x177 | 4.80 | | B1 | W530x85 | 5.00 | | B2 | W410x100 | 5.40 | | B3 | W360x122 | 5.20 | #### Diagram Description: The diagram below illustrates the column and beam assembly: - **Columns (C1, C2, C3):** These are vertical members with a section size of W460x177, each with a length of 4.8 meters. - **Beams (B1, B2, B3):** - Beam B1 has a section size of W530x85 and spans 5.0 meters. - Beam B2 is W410x100 with a span of 5.4 meters. - Beam B3 is W360x122, with a span of 5.2 meters. The structural frame is shown as a vertical central column with attached beams, illustrating the connections and dimensions for each component. Heights separate the beams at intervals of 2.4 meters for B3, and a total height for C1, from bottom to top, of 4.8 meters is indicated. The configuration emphasizes that the overall frame is unbraced laterally, requiring detailed buckling analysis to ensure structural integrity.
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