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Determine the forces in members DE and DL. The forces are positive if in tension, negative if in compression. Assume F = 6.5 kN, a = 1.4 m, b = 0.7 m, d = 2.6 m, h = 2.8 m. h h h D DL = O B Answers: DE= i i d E L M d F K d G KN kN d H F 7

Determine the forces in members DE and DL. The forces are positive if in tension, negative if in compression. Assume F = 6.5 kN, a = 1.4 m, b = 0.7 m, d = 2.6 m, h = 2.8 m. h h h D DL = O B Answers: DE= i i d E L M d F K d G KN kN d H F 7

Structural Analysis
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 Statement **Determine the forces in members DE and DL.** The forces are positive if in tension, negative if in compression. Assume: \( F = 6.5\, \text{kN} \), \( a = 1.4\, \text{m} \), \( b = 0.7\, \text{m} \), \( d = 2.6\, \text{m} \), \( h = 2.8\, \text{m} \). ### Truss Diagram Description The truss system depicted in the diagram consists of multiple members connecting various joints labeled \( A \) through \( N \). The base of the truss is supported by a pin at \( A \) and a roller at \( N \). A vertical load \( F \) (6.5 kN) is applied downwards at joint \( I \). - The horizontal distance between vertical members is \( d = 2.6 \, \text{m} \). - The vertical distance between horizontal members \( A \) to \( B \), \( B \) to \( C \), and \( C \) to \( D \) is \( h = 2.8 \, \text{m} \). - The vertical distance between adjacent members at the top right (from \( I \) to \( H \)) is divided into \( a = 1.4 \, \text{m} \) and \( b = 0.7 \, \text{m} \). ### Truss Analysis To determine the forces in members DE and DL, typically a method of joints or method of sections would be used: 1. **Method of Joints**: - Calculate support reactions at A and N. - Analyze forces at joints to find member forces by solving equilibrium equations (\(\sum F_x = 0\) and \(\sum F_y = 0\)). 2. **Method of Sections**: - Cut the truss through members DE and DL. - Solve equilibrium equations for the section to determine forces in members DE and DL. ### Answers Enter the numerical value of the forces (in kN) for members DE and DL in the boxes provided. **DE =** (Input Box) **kN** **DL =** (Input Box) **kN** > Note: The correct values for the forces in members DE
Transcribed Image Text:### Problem Statement **Determine the forces in members DE and DL.** The forces are positive if in tension, negative if in compression. Assume: \( F = 6.5\, \text{kN} \), \( a = 1.4\, \text{m} \), \( b = 0.7\, \text{m} \), \( d = 2.6\, \text{m} \), \( h = 2.8\, \text{m} \). ### Truss Diagram Description The truss system depicted in the diagram consists of multiple members connecting various joints labeled \( A \) through \( N \). The base of the truss is supported by a pin at \( A \) and a roller at \( N \). A vertical load \( F \) (6.5 kN) is applied downwards at joint \( I \). - The horizontal distance between vertical members is \( d = 2.6 \, \text{m} \). - The vertical distance between horizontal members \( A \) to \( B \), \( B \) to \( C \), and \( C \) to \( D \) is \( h = 2.8 \, \text{m} \). - The vertical distance between adjacent members at the top right (from \( I \) to \( H \)) is divided into \( a = 1.4 \, \text{m} \) and \( b = 0.7 \, \text{m} \). ### Truss Analysis To determine the forces in members DE and DL, typically a method of joints or method of sections would be used: 1. **Method of Joints**: - Calculate support reactions at A and N. - Analyze forces at joints to find member forces by solving equilibrium equations (\(\sum F_x = 0\) and \(\sum F_y = 0\)). 2. **Method of Sections**: - Cut the truss through members DE and DL. - Solve equilibrium equations for the section to determine forces in members DE and DL. ### Answers Enter the numerical value of the forces (in kN) for members DE and DL in the boxes provided. **DE =** (Input Box) **kN** **DL =** (Input Box) **kN** > Note: The correct values for the forces in members DE
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