F5-2. Determine the horizontal and vertical components of reaction at the pin A and the reaction on the beam at C. 4 kN 1.5 m- -1.5 m- В 1.5 m Prob. F5-2

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Problem F5–2:**

Determine the horizontal and vertical components of reaction at the pin \( A \) and the reaction on the beam at \( C \).

**Diagram Explanation:**

The diagram depicts a structural setup consisting of a beam supported by a pin at \( A \) and a member connecting to the beam at point \( C \). The beam is horizontal, with a length divided into three equal sections of 1.5 meters each. 

- **Distances and Points:**
  - The horizontal beam \( AB \) is 3 meters in total, divided into two segments of 1.5 meters between points \( A \), \( C \), and \( B \).
  - A vertical member extends downward from \( D \) to the connection at point \( C \), creating a right triangle with \( AC \), \( CD \), and the vertical line from \( A \) to \( D \).

- **Forces:**
  - A vertical force of 4 kN acts downward at point \( B \).

- **Supports:**
  - Point \( A \) has a pin support, providing both horizontal and vertical reactions.
  - Another reaction exists at point \( C \), where the inclined member connects with the horizontal beam.

This problem requires calculating the reactions at the supports, considering equilibrium of the entire structure.
Transcribed Image Text:**Problem F5–2:** Determine the horizontal and vertical components of reaction at the pin \( A \) and the reaction on the beam at \( C \). **Diagram Explanation:** The diagram depicts a structural setup consisting of a beam supported by a pin at \( A \) and a member connecting to the beam at point \( C \). The beam is horizontal, with a length divided into three equal sections of 1.5 meters each. - **Distances and Points:** - The horizontal beam \( AB \) is 3 meters in total, divided into two segments of 1.5 meters between points \( A \), \( C \), and \( B \). - A vertical member extends downward from \( D \) to the connection at point \( C \), creating a right triangle with \( AC \), \( CD \), and the vertical line from \( A \) to \( D \). - **Forces:** - A vertical force of 4 kN acts downward at point \( B \). - **Supports:** - Point \( A \) has a pin support, providing both horizontal and vertical reactions. - Another reaction exists at point \( C \), where the inclined member connects with the horizontal beam. This problem requires calculating the reactions at the supports, considering equilibrium of the entire structure.
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