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Find the force and the status of tension or compression in members AB, AF, DE and CG

Find the force and the status of tension or compression in members AB, AF, DE and CG

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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Find the force and the status of tension or compression in members AB, AF,

DE and CG. 

The diagram is a structural truss system with a series of connected beams and applied forces, typically used in engineering and physics education to demonstrate principles of static equilibrium. ### Description of the Truss System: - **Points and Members**: - The truss consists of five main joints labeled A, B, C, D, and E. - The members between these joints are connected as follows: AB, BC, CD, and DE. Additional supporting members are BF, CF, DG, and EG, where F and G are extra nodes for support. - **Dimensions**: - Each member AB, BC, CD, and DE is 10 meters long. - The horizontal spans for members BF, CF, DG, and EG are also 10 meters each. - **Angles**: - The angles between members AB and BF, and between CD and DG, are each 30°. - The connecting points B and D form 90° angles with the vertical member lines below them (BF and DG). - **External Forces**: - A downward force of 10 kN is applied at point B. - A downward force of 5 kN at point C. - An upward force of 4 kN is applied at point C. - A downward force of 8 kN is applied at point D. ### Explanation of the Diagram: This truss is loaded with forces at different joints, showcasing how external loads affect the structural integrity of the system. The forces applied can represent weight or external pressure which the structure must withstand. The angles and symmetric distribution of forces suggest this is an exercise in understanding how these variables impact forces within each truss member. Understanding this setup helps in analyzing load distribution, angle effects, and resultant forces in truss structures.
Transcribed Image Text:The diagram is a structural truss system with a series of connected beams and applied forces, typically used in engineering and physics education to demonstrate principles of static equilibrium. ### Description of the Truss System: - **Points and Members**: - The truss consists of five main joints labeled A, B, C, D, and E. - The members between these joints are connected as follows: AB, BC, CD, and DE. Additional supporting members are BF, CF, DG, and EG, where F and G are extra nodes for support. - **Dimensions**: - Each member AB, BC, CD, and DE is 10 meters long. - The horizontal spans for members BF, CF, DG, and EG are also 10 meters each. - **Angles**: - The angles between members AB and BF, and between CD and DG, are each 30°. - The connecting points B and D form 90° angles with the vertical member lines below them (BF and DG). - **External Forces**: - A downward force of 10 kN is applied at point B. - A downward force of 5 kN at point C. - An upward force of 4 kN is applied at point C. - A downward force of 8 kN is applied at point D. ### Explanation of the Diagram: This truss is loaded with forces at different joints, showcasing how external loads affect the structural integrity of the system. The forces applied can represent weight or external pressure which the structure must withstand. The angles and symmetric distribution of forces suggest this is an exercise in understanding how these variables impact forces within each truss member. Understanding this setup helps in analyzing load distribution, angle effects, and resultant forces in truss structures.
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