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QM, is calculated for the final design

QM, is calculated for the final design

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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### Designing a Rectangular Beam To design a rectangular beam for a 22-ft simple span, considering a dead load of 1 k/ft (excluding the beam's weight) and a live load of 2 k/ft, follow these steps. Use a concrete compressive strength \( f'_c = 4000 \) psi and a yield strength of reinforcing steel \( f_y = 60,000 \) psi. #### Approach: 1. **Assume Beam Dimensions:** - The depth \( h \) is assumed to equal approximately one-tenth of the beam span. - The width \( b \) is assumed to equal approximately half the depth, \( \frac{1}{2}h \). 2. **Determine Reinforcing Percentage:** - Calculate the percentage of reinforcing needed based on structural requirements and material properties. 3. **Select Reinforcing Bars:** - Choose reinforcing bars that satisfy the calculated percentage and ensure they meet strength and spacing criteria. 4. **Calculate Nominal Moment Capacity:** - Finally, calculate \( \phi M_n \) (the design moment strength) for the final beam design to ensure it can support the specified loads. By following these steps, you can appropriately design a rectangular beam that meets the required load conditions and material specifications.
Transcribed Image Text:### Designing a Rectangular Beam To design a rectangular beam for a 22-ft simple span, considering a dead load of 1 k/ft (excluding the beam's weight) and a live load of 2 k/ft, follow these steps. Use a concrete compressive strength \( f'_c = 4000 \) psi and a yield strength of reinforcing steel \( f_y = 60,000 \) psi. #### Approach: 1. **Assume Beam Dimensions:** - The depth \( h \) is assumed to equal approximately one-tenth of the beam span. - The width \( b \) is assumed to equal approximately half the depth, \( \frac{1}{2}h \). 2. **Determine Reinforcing Percentage:** - Calculate the percentage of reinforcing needed based on structural requirements and material properties. 3. **Select Reinforcing Bars:** - Choose reinforcing bars that satisfy the calculated percentage and ensure they meet strength and spacing criteria. 4. **Calculate Nominal Moment Capacity:** - Finally, calculate \( \phi M_n \) (the design moment strength) for the final beam design to ensure it can support the specified loads. By following these steps, you can appropriately design a rectangular beam that meets the required load conditions and material specifications.
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