2) The flooring system shown is composed of slab panels measuring 20 X 25 ft in plan, supported by shallow column-line beams, as shown in the figure. The slab is pre-cast and resting on the beams. The panels carry a service live load of 144 psf in addition to the self-weight of the floor. a) Calculate the factored load on beam CD as per the tributary area shown. Assume a slab thickness of 7 in and the density of the concrete used to be 150 pcf. Use the load combinations from the ASCE 7-10 load combinations for Strength Design (2.3.2). b) Sketch the bending moment diagram (BMD) for the beam using the factored load calculated in step (a). c) Calculate Mu for the trapezoidal load distribution.

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Chapter18: Device Installation
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The image is a technical drawing of a building section, focusing on the layout of exterior panels. Below is the transcription and explanation of the diagram:

### Diagram Description

- **Orientation and Dimensions:**
  - The drawing features a grid layout labeled with letters and dimensions.
  - The horizontal dimension across the top is marked as 25 feet, divided into a 12.5-foot section (right).

- **Labels and Sections:**
  - The grid intersects at points labeled A, B, C, D, E, and F.
  - Vertical sections AB and CD each measure 20 feet.

- **Panel Details:**
  - A "Typical exterior panel" is marked in the central area between sections C and D.
  - The panel sits between two dashed horizontal lines representing structural supports at levels C to D and E to F.

- **Structural Indicators:**
  - Red diagonal lines forming an X-pattern connect points A, B, C, and D, indicating reinforcement or design detail.
  - An area with red diagonal shading indicates a specific structural or design treatment.

- **Directional Markings:**
  - "Building CL" is noted beside the right section of the drawing, suggesting the building centerline.
  - Arrows marked X and Y show directional orientation in both vertical and horizontal planes.

### Explanation for Educational Context

This architectural diagram illustrates the arrangement and specifications of a building's exterior panels. Key elements include grid points for precision, detailed structural supports, and reinforcement patterns (marked in red). Such diagrams are pivotal in construction planning, ensuring accurate alignment and installation of panels, ultimately contributing to the building's structural integrity. Understanding these components is crucial for students learning about architectural drafting, civil engineering, or construction management.
Transcribed Image Text:The image is a technical drawing of a building section, focusing on the layout of exterior panels. Below is the transcription and explanation of the diagram: ### Diagram Description - **Orientation and Dimensions:** - The drawing features a grid layout labeled with letters and dimensions. - The horizontal dimension across the top is marked as 25 feet, divided into a 12.5-foot section (right). - **Labels and Sections:** - The grid intersects at points labeled A, B, C, D, E, and F. - Vertical sections AB and CD each measure 20 feet. - **Panel Details:** - A "Typical exterior panel" is marked in the central area between sections C and D. - The panel sits between two dashed horizontal lines representing structural supports at levels C to D and E to F. - **Structural Indicators:** - Red diagonal lines forming an X-pattern connect points A, B, C, and D, indicating reinforcement or design detail. - An area with red diagonal shading indicates a specific structural or design treatment. - **Directional Markings:** - "Building CL" is noted beside the right section of the drawing, suggesting the building centerline. - Arrows marked X and Y show directional orientation in both vertical and horizontal planes. ### Explanation for Educational Context This architectural diagram illustrates the arrangement and specifications of a building's exterior panels. Key elements include grid points for precision, detailed structural supports, and reinforcement patterns (marked in red). Such diagrams are pivotal in construction planning, ensuring accurate alignment and installation of panels, ultimately contributing to the building's structural integrity. Understanding these components is crucial for students learning about architectural drafting, civil engineering, or construction management.
**Transcription for Educational Website:**

---

**Problem Statement:**

The flooring system illustrated consists of slab panels measuring 20 x 25 ft in plan, supported by shallow column-line beams, as demonstrated in the accompanying figure. The slab is pre-cast and rests on the beams. These panels support a service live load of 144 psf, in addition to the self-weight of the floor.

**Tasks:**

a) **Calculate the Factored Load:**
   - Determine the factored load on beam CD using the tributary area depicted.
   - Assume a slab thickness of 7 inches and a concrete density of 150 pcf.
   - Refer to the ASCE 7-10 load combinations for Strength Design (Section 2.3.2).

b) **Bending Moment Diagram (BMD):**
   - Sketch the bending moment diagram for the beam based on the factored load calculated in part (a).

c) **Calculate Mu:**
   - Compute Mu considering the trapezoidal load distribution.

d) **Design a Reinforced Concrete Beam:**
   - Using a rectangular section, design a beam to support the Mu determined in part (c).
   - Incorporate design guides while elucidating each step.
   - Use concrete with \( f'c = 4000 \) psi and steel with \( fy = 60000 \) psi.

**Note:** There are no graphs or diagrams included with the text.

--- 

This transcription provides a detailed explanation of the problem and tasks associated with designing a flooring system in a structural engineering context.
Transcribed Image Text:**Transcription for Educational Website:** --- **Problem Statement:** The flooring system illustrated consists of slab panels measuring 20 x 25 ft in plan, supported by shallow column-line beams, as demonstrated in the accompanying figure. The slab is pre-cast and rests on the beams. These panels support a service live load of 144 psf, in addition to the self-weight of the floor. **Tasks:** a) **Calculate the Factored Load:** - Determine the factored load on beam CD using the tributary area depicted. - Assume a slab thickness of 7 inches and a concrete density of 150 pcf. - Refer to the ASCE 7-10 load combinations for Strength Design (Section 2.3.2). b) **Bending Moment Diagram (BMD):** - Sketch the bending moment diagram for the beam based on the factored load calculated in part (a). c) **Calculate Mu:** - Compute Mu considering the trapezoidal load distribution. d) **Design a Reinforced Concrete Beam:** - Using a rectangular section, design a beam to support the Mu determined in part (c). - Incorporate design guides while elucidating each step. - Use concrete with \( f'c = 4000 \) psi and steel with \( fy = 60000 \) psi. **Note:** There are no graphs or diagrams included with the text. --- This transcription provides a detailed explanation of the problem and tasks associated with designing a flooring system in a structural engineering context.
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