**Beam Cross-Sections Analysis****Problem Statement:**Determine the value of \( \phi V_n \) for the beam cross-sections shown. It is given that \( f_{yt} = 60 \) ksi in all cases. Evaluate if the ties, where applicable, comply with ACI’s spacing limits (refer to ACI 9.7.6).**Cross-Section Details:****a) Pre-stressed Concrete Beam:**- Width (\( b \)): 32 inches- Depth (\( d \)): 12 inches- Pre-stressing ducts diameter (\( D \)): 6 inches (typical)- Concrete compressive strength (\( f'_c \)): 10,000 psi- Beams have hollow circular ducts typical in pre-stressed members to reduce weight.**b) Reinforced Concrete Beam:**- Width (\( b \)): 18 inches- Depth (\( d \)): 24 inches- Reinforcement bars: #4 bars located at 10 inches center-to-center- Concrete compressive strength (\( f'_c \)): 5,000 psi- This section uses vertical ties in a close spacing for structural reinforcement.**c) T-Beam:**- Flange width: 72 inches- Web depth (\( d \)): 54 inches- Web width: 18 inches- Flange thickness: 5 inches- Reinforcement bars: #5 bars are placed at 24-inch spacing- Concrete compressive strength (\( f'_c \)): 8,000 psiThese sections illustrate the different configurations and reinforcement provisions used in various types of concrete beams. Understanding the material properties and reinforcement patterns in these sections is crucial for the determination of their shear capacity and ensuring compliance with structural guidelines.

Find the value of QV for the beam cross-sections shown. fyt = 60 ksi in all cases. Determine whether the ties (if they exist) satisfy ACI's spacing limits (see ACI 9.7.6.) b = 32" D = 6"(typ) f'c=10,000 psi d = 12" c) #5 at 24' d=54" 72" 5"

Find the value of QV for the beam cross-sections shown. fyt = 60 ksi in all cases. Determine whether the ties (if they exist) satisfy ACI's spacing limits (see ACI 9.7.6.) b = 32" D = 6"(typ) f'c=10,000 psi d = 12" c) #5 at 24' d=54" 72" 5"

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

Load on Structures

Civil engineers primarily deal with beams in their day-to-day applications. A beam is a structural member that resists shear loadings. There are various types of beams such as cantilever beam, simply supported beam, and over the hanging beam. All these beams have a different end and loading conditions.

Question

**Beam Cross-Sections Analysis**

**Problem Statement:**

Determine the value of \( \phi V_n \) for the beam cross-sections shown. It is given that \( f_{yt} = 60 \) ksi in all cases. Evaluate if the ties, where applicable, comply with ACI’s spacing limits (refer to ACI 9.7.6).

**Cross-Section Details:**

**a) Pre-stressed Concrete Beam:**

- Width (\( b \)): 32 inches
- Depth (\( d \)): 12 inches
- Pre-stressing ducts diameter (\( D \)): 6 inches (typical)
- Concrete compressive strength (\( f'_c \)): 10,000 psi
- Beams have hollow circular ducts typical in pre-stressed members to reduce weight.

**b) Reinforced Concrete Beam:**

- Width (\( b \)): 18 inches
- Depth (\( d \)): 24 inches
- Reinforcement bars: #4 bars located at 10 inches center-to-center
- Concrete compressive strength (\( f'_c \)): 5,000 psi
- This section uses vertical ties in a close spacing for structural reinforcement.

**c) T-Beam:**

- Flange width: 72 inches
- Web depth (\( d \)): 54 inches
- Web width: 18 inches
- Flange thickness: 5 inches
- Reinforcement bars: #5 bars are placed at 24-inch spacing
- Concrete compressive strength (\( f'_c \)): 8,000 psi

These sections illustrate the different configurations and reinforcement provisions used in various types of concrete beams. Understanding the material properties and reinforcement patterns in these sections is crucial for the determination of their shear capacity and ensuring compliance with structural guidelines.

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