Mechanics of Materials - Forces, Equilibrium, and Truss Analysis Assignment

Assignment Task

1. Response to each assessed discussion topic from Modules. You will be marked based on your first response for each assessed discussion.

2. (a) For the pipe and the rope assembly shown in, determine the magnitude of the projected component of the force F along the pipe AO and the Moment of force F about point O. Take dimension a = 4.5 m.

(b) Take an example (three dimensional) from your home or neighbourhood to demonstrate the application of particle equilibrium in real life. Include a photo of it and sketch the same including the cables/ropes, cable/rope fixing points to any surface, relevant forces/weights and the potential xyz axes. Discuss the information needed to solve the problem. 

3. (a) Two blocks A and B have a weight of W = 47.2 kN and W = 30 kN respectively. They are connected together with a cable and placed on the inclined plane. If the angle θ is gradually increased, determine θ when both the blocks begin to slide. The coefficients of static friction are = 0.15 and = 0.25.

(b) If the cable CD is replaced by a spring with a stiffness k = 40 N/m, determine the angle θ for which both blocks begin to slide. Also find the required stretch or compression in the connecting spring for this to occur.

(c) With the same spring as in Question 3(b), determine the angle which will cause motion of one of the blocks. What is the friction force under each of the blocks when this occurs?

4. A roof truss is loaded and supported as shown in. The joints are all pinned. N.

(a) Determine the reaction forces at supports A and D.

(b) Using “Method of joints” find the forces in members AB, CD and CE of the truss. State whether each of these members is in tension or compression.

(c) Determine the force in members BC, FC and FE of the truss using “Method of sections”. State whether each of these members is in tension or compression.

This Engineering Assignment Help has been solved by our Engineering Experts at My Uni Paper.