Problem 1: Determine the allowable service live load, PL assume the dead load is due to the beam weight fc = 3 ksi, fy = 60 ksi, Dc = 150 pcf. 25" 5" 4-#8 10" 10" PL 10" PL 10"

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Subject is Reinforced Concrete Design
**Problem 1: Determine the Allowable Service Live Load (P_L)**

**Given:**
- Assume the dead load is due to the beam weight.
- \( f_c = 3 \text{ ksi} \)
- \( f_y = 60 \text{ ksi} \)
- \( D_c = 150 \text{ pcf} \)

### Diagram Details

**Cross-Section View:**
- Rectangular cross-section of the beam with dimensions:
  - Height: 25 inches
  - Width: 10 inches
  - The reinforcement consists of 4 bars, each labeled as \#8.
  - Distance from the top of the rectangle to the reinforcement line: 5 inches.

**Beam Span:**
- The total span of the beam is segmented into three equal parts, each 10 inches long, summing up to 30 inches in total length.
- The beam is supported at both ends and two live load forces \( P_L \) are applied evenly spaced along the beam.
- Distance from each support to the first live load point ( \( P_L \) ): 10 inches.
- Distance between the two live load points ( \( P_L \) ): 10 inches.

**Note:** The dimensions and reinforcement details are crucial for calculating the capacities and allowable loads for the beam. Ensure proper conversion and unit consistency during calculations.
Transcribed Image Text:**Problem 1: Determine the Allowable Service Live Load (P_L)** **Given:** - Assume the dead load is due to the beam weight. - \( f_c = 3 \text{ ksi} \) - \( f_y = 60 \text{ ksi} \) - \( D_c = 150 \text{ pcf} \) ### Diagram Details **Cross-Section View:** - Rectangular cross-section of the beam with dimensions: - Height: 25 inches - Width: 10 inches - The reinforcement consists of 4 bars, each labeled as \#8. - Distance from the top of the rectangle to the reinforcement line: 5 inches. **Beam Span:** - The total span of the beam is segmented into three equal parts, each 10 inches long, summing up to 30 inches in total length. - The beam is supported at both ends and two live load forces \( P_L \) are applied evenly spaced along the beam. - Distance from each support to the first live load point ( \( P_L \) ): 10 inches. - Distance between the two live load points ( \( P_L \) ): 10 inches. **Note:** The dimensions and reinforcement details are crucial for calculating the capacities and allowable loads for the beam. Ensure proper conversion and unit consistency during calculations.
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