The steelwork framing plan for a floor system shows decks as D1-D12, beams and girders as M1 M20 and columns as C1-C9. The unit load on the system is 75-psf dead and 45-psf live. What is the total load going into column C2?

Architectural Drafting and Design (MindTap Course List)
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Chapter29: Design Criteria For Structural Loading
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Problem 29.5Q
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### Structural Engineering Example: Floor System Load Calculation

**Problem Statement:**

The steelwork framing plan for a floor system shows decks as D1-D12, beams and girders as M1-M20, and columns as C1-C9. The unit load on the system is 75-psf dead and 45-psf live. 

**Question:** What is the total load going into column C2?

**Diagrams Explanation:**

The diagram provided is a plan view of a steel framing system. Here's a detailed description:

1. **Columns (C1-C9):** These are the vertical bearings marked as C1 to C9.
2. **Beams and Girders (M1-M20):** Horizontal supports marked as M1 to M20.
3. **Decks (D1-D12):** Decking material indicated by D1 to D12.
4. **Dimensions:**
   - The vertical height is labeled as 40 feet.
   - The horizontal lengths are divided into sections of 16 feet and 24 feet, totaling 40 feet horizontally as well. 

**Calculation Process:**

To calculate the load going into column C2, follow these steps:

1. **Identify Tributary Area for Column C2:**
   - The tributary area is the area of the floor system that contributes to the load on C2. 
   - The tributary area is determined by the midpoint spacing between adjacent columns and beams.

2. **Determine Dimensions:**
   - When considering tributation, let's assume C2's tributary area extends halfway to adjacent columns and beams.
   - The tributary area for column C2 will span half the distance to adjacent columns and beams, covering an area defined by:
     - Horizontally: 16 feet + 16 feet / 2 = 24 feet.
     - Vertically: 36 feet / 2.

3. **Convert the loading units to total area:**
   - Dead load: 75 psf (pounds per square foot).
   - Live load: 45 psf.
   
4. **Calculate the Total Load:**
   - Total area contributing to load on C2 = 24 feet x 20 feet.
   - Dead Load Contribution = Total Area x Dead Load.
   - Live Load Contribution = Total Area x Live Load.
   - Total Load = Dead Load Contribution + Live Load Contribution.

5. **Summar
Transcribed Image Text:### Structural Engineering Example: Floor System Load Calculation **Problem Statement:** The steelwork framing plan for a floor system shows decks as D1-D12, beams and girders as M1-M20, and columns as C1-C9. The unit load on the system is 75-psf dead and 45-psf live. **Question:** What is the total load going into column C2? **Diagrams Explanation:** The diagram provided is a plan view of a steel framing system. Here's a detailed description: 1. **Columns (C1-C9):** These are the vertical bearings marked as C1 to C9. 2. **Beams and Girders (M1-M20):** Horizontal supports marked as M1 to M20. 3. **Decks (D1-D12):** Decking material indicated by D1 to D12. 4. **Dimensions:** - The vertical height is labeled as 40 feet. - The horizontal lengths are divided into sections of 16 feet and 24 feet, totaling 40 feet horizontally as well. **Calculation Process:** To calculate the load going into column C2, follow these steps: 1. **Identify Tributary Area for Column C2:** - The tributary area is the area of the floor system that contributes to the load on C2. - The tributary area is determined by the midpoint spacing between adjacent columns and beams. 2. **Determine Dimensions:** - When considering tributation, let's assume C2's tributary area extends halfway to adjacent columns and beams. - The tributary area for column C2 will span half the distance to adjacent columns and beams, covering an area defined by: - Horizontally: 16 feet + 16 feet / 2 = 24 feet. - Vertically: 36 feet / 2. 3. **Convert the loading units to total area:** - Dead load: 75 psf (pounds per square foot). - Live load: 45 psf. 4. **Calculate the Total Load:** - Total area contributing to load on C2 = 24 feet x 20 feet. - Dead Load Contribution = Total Area x Dead Load. - Live Load Contribution = Total Area x Live Load. - Total Load = Dead Load Contribution + Live Load Contribution. 5. **Summar
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