In each of the load-tracing problems below, construct a se- ries of FBDS and show the propagation of loads through the various structural elements. 4.1 Determine the column loads assuming: DL (decking, flooring, etc.) = 1pst 15 psf - 40 psf 50 pot 55 psf LL (occupancy) Total Beam B-2 spans between girder G-3 and column B-2 and beam B-3 spans between girder G-3 and column C-2.
In each of the load-tracing problems below, construct a se- ries of FBDS and show the propagation of loads through the various structural elements. 4.1 Determine the column loads assuming: DL (decking, flooring, etc.) = 1pst 15 psf - 40 psf 50 pot 55 psf LL (occupancy) Total Beam B-2 spans between girder G-3 and column B-2 and beam B-3 spans between girder G-3 and column C-2.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Problem 4.1
![### Typical Floor Framing
#### Diagram Explanation
The diagram provided illustrates a typical floor framing system. It is composed of several panels and girder sections which are identified as A, B, C, and D for vertical sections and G-1, G-2, and G-3 for horizontal sections. Each section measures 10 feet by 10 feet, and various regions are coded with different colors to signify tributary areas:
- Blue (upper right roof panel)
- Green (upper left roof panel)
- Purple (lower left roof panel)
- Red (lower right roof panel)
The significant elements in the diagram include the open area, decking areas, and loaded panels.
#### Guidance
1. **Total Load Distribution**
- The total load is 55 psf (pounds per square foot), which is comprised of a 15 psf dead load and a 40 psf live load.
2. **Load Transfer for Roof Panels**
- For the upper right and upper left roof panels (blue and green panels), transfer the loads to G-1, B-2, and B-3.
- **Note:** Ignore the direction of the decking arrows for these panels.
3. **Load Transfer for Lower Roof Panel**
- For the lower roof panel (purple and red panels), transfer the loads to B-2, B-3, B-4, and G-2.
4. **Development of Free-Body Diagrams (FBDs)**
- Develop the FBDs of G-1, B-2, B-3, B-4, G-2, and G-3 (left and right).
- Include the point loads from girders G-3 (left and right) from B-2 and B-3 on the respective FBDs.
5. **Calculation of Point Loads**
- Calculate the point loads on the columns, noting that at the intersection of girders and beams, the respective loads are transferred to the columns.
This guidance aims to facilitate solving structural loading problems on floor framing and ensure the correct distribution and calculation of loads.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ec45086-8540-448a-8175-f3c58b1b51d8%2F94e353f1-b6bb-4b1c-8055-508330951406%2Fn484htq_processed.png&w=3840&q=75)
Transcribed Image Text:### Typical Floor Framing
#### Diagram Explanation
The diagram provided illustrates a typical floor framing system. It is composed of several panels and girder sections which are identified as A, B, C, and D for vertical sections and G-1, G-2, and G-3 for horizontal sections. Each section measures 10 feet by 10 feet, and various regions are coded with different colors to signify tributary areas:
- Blue (upper right roof panel)
- Green (upper left roof panel)
- Purple (lower left roof panel)
- Red (lower right roof panel)
The significant elements in the diagram include the open area, decking areas, and loaded panels.
#### Guidance
1. **Total Load Distribution**
- The total load is 55 psf (pounds per square foot), which is comprised of a 15 psf dead load and a 40 psf live load.
2. **Load Transfer for Roof Panels**
- For the upper right and upper left roof panels (blue and green panels), transfer the loads to G-1, B-2, and B-3.
- **Note:** Ignore the direction of the decking arrows for these panels.
3. **Load Transfer for Lower Roof Panel**
- For the lower roof panel (purple and red panels), transfer the loads to B-2, B-3, B-4, and G-2.
4. **Development of Free-Body Diagrams (FBDs)**
- Develop the FBDs of G-1, B-2, B-3, B-4, G-2, and G-3 (left and right).
- Include the point loads from girders G-3 (left and right) from B-2 and B-3 on the respective FBDs.
5. **Calculation of Point Loads**
- Calculate the point loads on the columns, noting that at the intersection of girders and beams, the respective loads are transferred to the columns.
This guidance aims to facilitate solving structural loading problems on floor framing and ensure the correct distribution and calculation of loads.
![### Load-Tracing Problem: Column Load Determination
#### Problem Statement:
In this load-tracing problem, we are given a floor framing plan and asked to determine the column loads for a specific structural element. The steps involve constructing a series of Free Body Diagrams (FBDs) and showing the propagation of loads through the various structural elements. This process ensures that we accurately reflect the load distribution within the structural framework.
#### Given Data:
- **DL (Dead Load):** Decking, flooring, etc., are given as \( 15 \, \text{psf} \). This value has been revised from an initial value of \( 40 \, \text{psf} \).
- **LL (Live Load):** Occupancy load is given as \( 40 \, \text{psf} \).
- **Total Load:** The sum of DL and LL is \( 55 \, \text{psf} \) (revised from \( 80 \, \text{psf} \)).
#### Framing Plan:
The framing plan shows:
- **Girders (G1, G2, G3):**
- Girder G1 spans from columns B-1 to B-4.
- Girder G2 spans from columns A-1 to D-1.
- Girder G3 spans from columns A-4 to D-4.
- The girders are placed 10 feet apart from each other.
- **Beams (B-2, B-3):**
- Beam B-2 spans between girder G-3 and column B-2.
- Beam B-3 spans between girder G-3 and column C-2.
The load propagation will be traced through these beams and girders to determine the resultant column loads.
##### Floor Framing Diagram:
Below is the typical floor framing diagram. It illustrates the arrangement of beams and girders within a grid defined by columns marked as A-1, A-2, A-3, A-4, B-1, B-2, B-3, B-4, C-1, C-2, C-3, C-4, D-1, D-2, D-3, and D-4.
(Refer to actual image for the detailed diagram)
The highlighted point B-4 shows one of the critical junctures between Beam B-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ec45086-8540-448a-8175-f3c58b1b51d8%2F94e353f1-b6bb-4b1c-8055-508330951406%2Fjjhp5gl_processed.png&w=3840&q=75)
Transcribed Image Text:### Load-Tracing Problem: Column Load Determination
#### Problem Statement:
In this load-tracing problem, we are given a floor framing plan and asked to determine the column loads for a specific structural element. The steps involve constructing a series of Free Body Diagrams (FBDs) and showing the propagation of loads through the various structural elements. This process ensures that we accurately reflect the load distribution within the structural framework.
#### Given Data:
- **DL (Dead Load):** Decking, flooring, etc., are given as \( 15 \, \text{psf} \). This value has been revised from an initial value of \( 40 \, \text{psf} \).
- **LL (Live Load):** Occupancy load is given as \( 40 \, \text{psf} \).
- **Total Load:** The sum of DL and LL is \( 55 \, \text{psf} \) (revised from \( 80 \, \text{psf} \)).
#### Framing Plan:
The framing plan shows:
- **Girders (G1, G2, G3):**
- Girder G1 spans from columns B-1 to B-4.
- Girder G2 spans from columns A-1 to D-1.
- Girder G3 spans from columns A-4 to D-4.
- The girders are placed 10 feet apart from each other.
- **Beams (B-2, B-3):**
- Beam B-2 spans between girder G-3 and column B-2.
- Beam B-3 spans between girder G-3 and column C-2.
The load propagation will be traced through these beams and girders to determine the resultant column loads.
##### Floor Framing Diagram:
Below is the typical floor framing diagram. It illustrates the arrangement of beams and girders within a grid defined by columns marked as A-1, A-2, A-3, A-4, B-1, B-2, B-3, B-4, C-1, C-2, C-3, C-4, D-1, D-2, D-3, and D-4.
(Refer to actual image for the detailed diagram)
The highlighted point B-4 shows one of the critical junctures between Beam B-
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