How to cut the middle member in a k truss (>|<) by method of sections??
To cut the middle member in a truss using the method of sections, follow these steps:
1. Draw a free body diagram of the truss, clearly labeling all the external forces and supports.
2. Identify the middle member that you want to cut. Let's assume it is member AB.
3. Choose a section of the truss that includes member AB and divides the truss into two parts. The section should have at least three members.
4. Cut the truss along the chosen section. This will create a section of the truss that is separated from the rest.
5. Assume the forces acting on the cut members are in tension. Label the forces on the cut members as T1, T2, T3, etc., where T represents tension.
6. Apply the equations of equilibrium to the separated truss section. This involves analyzing the forces and moments acting on the section to determine the unknown forces.
7. Resolve any unknown forces by using the equilibrium equations. By solving the equations, you will be able to determine the forces in the cut members.
8. Once you have determined the forces in the cut members, check if the middle member (AB) has any tension force. If it does, then it is most likely an active member. If it has no tension force (or has compression), it is a zero-force member and can be cut.
By following these steps and analyzing the forces using the equations of equilibrium, you can determine whether it is possible to cut the middle member in a truss using the method of sections.