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?
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)
7th Edition
ISBN:9781285165738
Author:Alan Jefferis, David A. Madsen, David P. Madsen
Publisher:Alan Jefferis, David A. Madsen, David P. Madsen
Chapter29: Design Criteria For Structural Loading
Section: Chapter Questions
Problem 29.5Q
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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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