### 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.

Answered: (1) 2/" 3" 4#9 bood 14" (1) Ec = ? (2)…

(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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Bars

In civil engineering, bars refer to steel reinforcement bars or rebars. These are structural members primarily used for reinforcement purposes in masonry works. A bar is characterized by its cross-sectional area, which is negligible compared to its length. Bars are usually manufactured by steel which is uniform throughout the length, or by meshing multiple steel wires. Other materials of the bar include carbon steel, glass fiber, carbon fiber, and basalt fiber. The reinforcing bars are coated with epoxy resins and other materials to enhance some of their properties including corrosion resistance.

Question

### 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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