Consider the system shown in figure below
Assume that and . Determine
1. Reaction forces
2. Moment diagrams
3. Assuming a circular cross-section with a diameter of , draw a normal stress diagram.
4. Assuming a square cross-section with the side equal to , draw a normal stress diagram.
5. On the basis of the stress diagram, identify the critical cross-sections in 3 and 4.
6. Choose material and factor of safety, and determine cross-section dimensions in 3 and 4.
7. Model the system in Fusion 360 for square cross-section. Assign boundary conditions.
8. Compute the reaction forces and the normal stress distribution.
9. Compare the results in 8. with 1. and 3. What is a relative error between Fusion 360 simulation and analytical computation?
10. Compute the displacement distribution?
11. What is the von Mises stress?
12. What are principal stresses?
13. Identify a cross-section where the structure will fail when the force is increased (Fusion 360).
14. Optimize the shape of the cross-section such that the mass is reduced while at the same time the strength and integrity of the structure are preserved (Fusion 360).
Use your Statics book and Internet as your literature.
Submission date: November 26, 2020.