Determine the force in members BC, HC, and HG. After the truss is sectioned use a single equation of equilibrium for the calculation of each force. State if these members are in tension or compression. Determine the force in members CD, CF, and CG and state if these members are in tension or compression.
The Correct Answer and Explanation is :
Here’s a step-by-step explanation of how you would generally proceed:
- Analyze the Truss:
- Break down the truss into smaller sections. Identify all the joints and members.
- For static equilibrium, use the conditions that the sum of forces in the horizontal and vertical directions must be zero at each joint.
- Section the Truss:
- You will typically cut through the truss at the locations where you need to determine the forces. In your case, you need to find the forces in members BC, HC, HG, CD, CF, and CG.
- Apply the Equilibrium Conditions:
- For each section, apply the equilibrium equations:
- (\Sigma F_x = 0) (sum of forces in the x-direction).
- (\Sigma F_y = 0) (sum of forces in the y-direction).
- These equations will allow you to solve for the unknown forces in each member.
- Determine Tension or Compression:
- If the force in the member is pulling away from the joint, the member is in tension.
- If the force in the member is pushing toward the joint, the member is in compression.
Example:
Assume you section the truss and consider joint C, where you want to find the forces in BC, HC, and HG.
- From the equilibrium equations, solve for the force in BC (tension or compression), then move to HG and HC by considering their contributions to the equilibrium of joint C.
- The same method applies for the forces in members CD, CF, and CG—calculate their contributions to the equilibrium of the corresponding joints.
If you can upload the image or provide more details about the structure of the truss, I can help you analyze it further or even generate a similar image of a truss for illustration.