**Problem 1:** Calculate φVn for each beam using ACI code requirements. Assume transverse reinforcement exceeds ACI minimums. For all beams: $ f_{yt} = 40,000 \, \text{psi} $ and $ f'_{c} = 4000 \, \text{psi} $.### Diagrams and Details:1. **T-Beam:** - **Rebar:** No. 3 @ 6 inches - **Dimensions:** - Width of flange: 10 inches - Depth: 17.5 inches2. **Rectangular Beam:** - **Rebar:** No. 4 @ 10 inches - **Dimensions:** - Width: 8 inches - Depth: 17.5 inches3. **Square Beam:** - **Rebar:** No. 4 @ 8 inches - **Dimensions:** - Width of square: 3'-0" - Clear span between rebar: 2'-2" - Depth: 21.5 inchesEach diagram provides a cross-sectional view of the respective beam showing the placement and specification of reinforcement bars in reference to the dimensions given.

Answered: Problem 1: Calculate V, for each beam…

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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**Problem 1:** Calculate φVn for each beam using ACI code requirements. Assume transverse reinforcement exceeds ACI minimums. For all beams: $ f_{yt} = 40,000 \, \text{psi} $ and $ f'_{c} = 4000 \, \text{psi} $.

### Diagrams and Details:

1. **T-Beam:**
- **Rebar:** No. 3 @ 6 inches
- **Dimensions:**
- Width of flange: 10 inches
- Depth: 17.5 inches

2. **Rectangular Beam:**
- **Rebar:** No. 4 @ 10 inches
- **Dimensions:**
- Width: 8 inches
- Depth: 17.5 inches

3. **Square Beam:**
- **Rebar:** No. 4 @ 8 inches
- **Dimensions:**
- Width of square: 3'-0"
- Clear span between rebar: 2'-2"
- Depth: 21.5 inches

Each diagram provides a cross-sectional view of the respective beam showing the placement and specification of reinforcement bars in reference to the dimensions given.

Expert Solution

Step 1: Introduce the problem statement

$f subscript y t end subscript equals 40 comma 000 space p s i f apostrophe subscript c equals 4000 space p s i bottom enclose bold italic T bold italic o bold space bold italic c bold italic a bold italic l bold italic c bold italic u bold italic l bold italic a bold italic t bold italic e bold colon end enclose ϕ V subscript n space f o r space a l l space t h r e e space b e a m s space$

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