Q1) Determine the force in each member of thetruss and state if the members are in tension orcompression. Set P1 = 10 kN, P2=15 KN​

Engineering · College · Thu Feb 04 2021

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Answer: To provide an accurate response, you need to provide me with the specifics of the truss you're referring to, such as its geometry and the locations where the loads P1 and P2 are applied. The analysis of a truss involves determining the forces in each member, subject to external loads, supports, and connections. Without the diagram or clear description of the truss, I can’t perform the actual calculations but I can guide you through the general steps to determine the forces in the members of a truss:

1. Calculate Support Reactions: First, you would need to determine the reactions at the supports using the equilibrium equations for the entire truss (sum of forces in horizontal and vertical directions, sum of moments).

2. Identify Zero-Force Members: Before calculating forces in the members, you can simplify the problem by identifying any members that carry no force, known as zero-force members. Members are considered zero-force if they meet specific conditions, such as non-loaded members in a truss where two non-collinear members meet at a joint with no external force or support.

3. Use the Method of Joints or the Method of Sections: To find the forces in each member, you would typically use either the method of joints or the method of sections.

- Method of Joints: Analyze each joint in the truss starting from the support where the reactions are known. At each joint, apply the equilibrium equations for a particle (the sum of forces in the x-direction and y-direction must be zero) to solve for the forces in the connected members, assuming all members are in tension. If you get a negative value, it means the member is in compression.

- Method of Sections: This method involves cutting the truss and considering the equilibrium of one of the resulting sections. You can take a "cut" through no more than three members whose forces are not yet known and apply the equilibrium equations to the entire section to solve for those forces.

4. Determine Tension or Compression: As you solve for the forces in each member, a positive result generally indicates tension, while a negative result indicates compression. Label each member accordingly.

5. Repeat Steps 3 and 4: Continue applying the method of joints or sections to each joint or section of the truss until all member forces are determined.

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