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(1) 2/" 3" 4#9 bood 14" (1) Ec = ? (2) fr=? (3) Mer=? #4 fé = 5 ksi Grade 60 Steel NWC. b=14", h=24" #4 tied stirrups. 4 #9 Rebars. Please write down units properly in the final answers.

(1) 2/" 3" 4#9 bood 14" (1) Ec = ? (2) fr=? (3) Mer=? #4 fé = 5 ksi Grade 60 Steel NWC. b=14", h=24" #4 tied stirrups. 4 #9 Rebars. Please write down units properly in the final answers.

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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### Concrete Beam Design Problem #### Specifications: - **Concrete Strength (`fc`):** 5 ksi - **Steel Grade:** 60 Steel - **Concrete Type:** Normal Weight Concrete (NWC) - **Beam Dimensions:** - **Width (`b`):** 14 inches - **Height (`h`):** 24 inches - **Reinforcement Details:** - #4 tied stirrups - 4 #9 rebars **Notes:** Ensure proper units are used in the final answers. #### Diagram Explanation: The diagram shows a rectangular beam cross-section with the following details: - The overall height of the beam is 24 inches. - The width at the bottom is 14 inches. - Stirrups labeled as #4 are indicated around the perimeter. - Four #9 rebars are positioned inside the stirrups. #### Questions: 1. \( E_c = ? \) Calculate the modulus of elasticity for the concrete. 2. \( f_r = ? \) Determine the modulus of rupture. 3. \( M_{cr} = ? \) Find the cracking moment. 4. When \( M = 70 \, \text{ft-k} \), solve for: - \( f_c = ? \) The compressive stress in the concrete. - \( f_s = ? \) The stress in the steel. 5. \( \phi M_n = ? \) Calculate the nominal moment capacity. Each question involves calculations based on given material properties and dimensions, fundamental in structural engineering design.
Transcribed Image Text:### Concrete Beam Design Problem #### Specifications: - **Concrete Strength (`fc`):** 5 ksi - **Steel Grade:** 60 Steel - **Concrete Type:** Normal Weight Concrete (NWC) - **Beam Dimensions:** - **Width (`b`):** 14 inches - **Height (`h`):** 24 inches - **Reinforcement Details:** - #4 tied stirrups - 4 #9 rebars **Notes:** Ensure proper units are used in the final answers. #### Diagram Explanation: The diagram shows a rectangular beam cross-section with the following details: - The overall height of the beam is 24 inches. - The width at the bottom is 14 inches. - Stirrups labeled as #4 are indicated around the perimeter. - Four #9 rebars are positioned inside the stirrups. #### Questions: 1. \( E_c = ? \) Calculate the modulus of elasticity for the concrete. 2. \( f_r = ? \) Determine the modulus of rupture. 3. \( M_{cr} = ? \) Find the cracking moment. 4. When \( M = 70 \, \text{ft-k} \), solve for: - \( f_c = ? \) The compressive stress in the concrete. - \( f_s = ? \) The stress in the steel. 5. \( \phi M_n = ? \) Calculate the nominal moment capacity. Each question involves calculations based on given material properties and dimensions, fundamental in structural engineering design.
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