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3. For the truss shown below, the force P is 320 N. Find the support reactions at A and C. Using method of joints, find the forces in all the members. Specify (C) or (T). Ans: Ax = 0, Ay = 240 N 1, Cy = 80 N ↑, FAD = 300N (C), FAB = 180N (T), FBD = 100 N (C), FDE = 120 N (C), FBE= 100 N (T), FBC = 60 N (T), FCE = 100 N (C) 3 m 6 m 3 m E D 4 m A B

3. For the truss shown below, the force P is 320 N. Find the support reactions at A and C. Using method of joints, find the forces in all the members. Specify (C) or (T). Ans: Ax = 0, Ay = 240 N 1, Cy = 80 N ↑, FAD = 300N (C), FAB = 180N (T), FBD = 100 N (C), FDE = 120 N (C), FBE= 100 N (T), FBC = 60 N (T), FCE = 100 N (C) 3 m 6 m 3 m E D 4 m A B

Elements Of Electromagnetics
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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**Problem Statement:** For the truss shown below, the force \( P \) is 320 N. Find the support reactions at \( A \) and \( C \). Using the method of joints, find the forces in all the members. Specify whether the member is in Compression (C) or Tension (T). **Solution:** - \( A_x = 0 \) - \( A_y = 240 \, \text{N} \uparrow \) - \( C_y = 80 \, \text{N} \uparrow \) **Member Forces:** - \( F_{AD} = 300 \, \text{N} \, \text{(C)} \) - \( F_{AB} = 180 \, \text{N} \, \text{(T)} \) - \( F_{BD} = 100 \, \text{N} \, \text{(C)} \) - \( F_{DE} = 120 \, \text{N} \, \text{(C)} \) - \( F_{BE} = 100 \, \text{N} \, \text{(T)} \) - \( F_{BC} = 60 \, \text{N} \, \text{(T)} \) - \( F_{CE} = 100 \, \text{N} \, \text{(C)} \) **Diagram Explanation:** The truss consists of horizontal and diagonal members connected at joints \( A\), \( B\), \( C\), \( D\), and \( E \): - Distance between \( A \) and \( D \) is 3 m, \( D \) and \( E \) is 6 m, and \( E \) and \( C \) is 3 m. - Vertical height from joint \( B \) to \( D \) and \( E \) to \( C \) is 4 m. - Force \( P \) of 320 N acts downward at joint \( D \). The support at \( A \) is a pin support and at \( C \) is a roller support.
Transcribed Image Text:**Problem Statement:** For the truss shown below, the force \( P \) is 320 N. Find the support reactions at \( A \) and \( C \). Using the method of joints, find the forces in all the members. Specify whether the member is in Compression (C) or Tension (T). **Solution:** - \( A_x = 0 \) - \( A_y = 240 \, \text{N} \uparrow \) - \( C_y = 80 \, \text{N} \uparrow \) **Member Forces:** - \( F_{AD} = 300 \, \text{N} \, \text{(C)} \) - \( F_{AB} = 180 \, \text{N} \, \text{(T)} \) - \( F_{BD} = 100 \, \text{N} \, \text{(C)} \) - \( F_{DE} = 120 \, \text{N} \, \text{(C)} \) - \( F_{BE} = 100 \, \text{N} \, \text{(T)} \) - \( F_{BC} = 60 \, \text{N} \, \text{(T)} \) - \( F_{CE} = 100 \, \text{N} \, \text{(C)} \) **Diagram Explanation:** The truss consists of horizontal and diagonal members connected at joints \( A\), \( B\), \( C\), \( D\), and \( E \): - Distance between \( A \) and \( D \) is 3 m, \( D \) and \( E \) is 6 m, and \( E \) and \( C \) is 3 m. - Vertical height from joint \( B \) to \( D \) and \( E \) to \( C \) is 4 m. - Force \( P \) of 320 N acts downward at joint \( D \). The support at \( A \) is a pin support and at \( C \) is a roller support.
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