Trusses Ex 08: Determine the force in members EF, AF, and DF of the space truss.
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- เผยแพร่เมื่อ 8 ก.พ. 2025
- To determine the forces in members EF, AF, and DF of the space truss and check whether they are in tension or compression, you would typically proceed by:
Identify the structure: First, observe the geometry and configuration of the truss. Determine the joints and members, paying attention to how the supports are provided at points A, B, D, and E (since they are short links, they will resist forces along their axis).
Analyze external reactions: Use equilibrium equations for the entire truss to calculate the reaction forces at the supports. Apply the three equilibrium equations:
∑F x=0 (sum of forces in the horizontal direction)
∑F y=0 (sum of forces in the vertical direction)
∑M=0 (sum of moments around a point)
Method of joints: Break the truss down into individual joints and apply equilibrium equations at each joint. You can assume that:
If the member force pulls the joint, it's in tension. If the member force pushes the joint, it's in compression. For each joint, apply:
∑F x=0
∑F y=0
∑F z=0 (since this is a space truss)
Solve for the forces in members EF, AF, and DF: After finding the reaction forces and solving equilibrium equations at the relevant joints, you will determine the forces in these members.
Reference Book: Hibbeler engineering mechanics statics 14th edition
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