1. For the frame and the loading shown to the right: a) Draw the free body diagram of the entire frame and the free body diagrams for all the components of the frame. Identify any two-force members and use this information in your calculations. Draw and label all forces. b) Find all the forces in member ABC. Ans: A, = 4.5 kips , Ay = 5 kips , B = 2.25 kips , Cx 2.25 kips →, Cy = 5 kips ↑ (By the way, F, = 5 kips T and FBE = 2.25kips (T)) 4.5 kips 6 ft D B 6 ft 6 ft A F 10.8 ft

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**1. For the frame and the loading shown:**

a) Draw the free body diagram of the entire frame and the free body diagrams for all the components of the frame. Identify any two-force members and use this information in your calculations. Draw and label all forces.

b) Find all the forces in member \( ABC \).

**Answer:**

- \( A_x = 4.5 \) kips ←
- \( A_y = 5 \) kips ↓
- \( B_x = 2.25 \) kips →
- \( C_x = 2.25 \) kips →
- \( C_y = 5 \) kips ↑

(By the way, \( F_y = 5 \) kips ↑ and \( F_{BE} = 2.25 \) kips (T))

**Diagram Explanation:**

The diagram depicts a triangular frame structure with points labeled A, B, C, D, E, and F. The dimensions given are:

- The horizontal base (AF) is 10.8 feet.
- Vertical sections DC and EF are 6 feet each.
  
At point C, there is a horizontal force of 4.5 kips directed to the right. 

This structure is supported on a horizontal surface at point F.
Transcribed Image Text:**1. For the frame and the loading shown:** a) Draw the free body diagram of the entire frame and the free body diagrams for all the components of the frame. Identify any two-force members and use this information in your calculations. Draw and label all forces. b) Find all the forces in member \( ABC \). **Answer:** - \( A_x = 4.5 \) kips ← - \( A_y = 5 \) kips ↓ - \( B_x = 2.25 \) kips → - \( C_x = 2.25 \) kips → - \( C_y = 5 \) kips ↑ (By the way, \( F_y = 5 \) kips ↑ and \( F_{BE} = 2.25 \) kips (T)) **Diagram Explanation:** The diagram depicts a triangular frame structure with points labeled A, B, C, D, E, and F. The dimensions given are: - The horizontal base (AF) is 10.8 feet. - Vertical sections DC and EF are 6 feet each. At point C, there is a horizontal force of 4.5 kips directed to the right. This structure is supported on a horizontal surface at point F.
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