Summary: Equiiibrium "With a Twist" (Structures) Figure 3 shows a simple truss with three applied loads. It is supported by a pin joint at A and a roller at E. You will notice that A = 0 "by inspection" because of symmetry A, = E, = 60 kN. It is (hopefully?) clear from the diagram that all horizontal spans are 5 m long and all vertical spans are 4 m tall. (a) Briefly (in 1-2 phrases, diagrams or equations) describe how you know this is a simple truss as opposed to a "frame" or "machine" C Figure 3 4 m E 5 m 5 m 5 m 5 m H. G (b) Find the magnitude of the force BC acting on member BC and state whether it is in tension or compression. Make sure the method you use is clear and that you include as many FBDS as necessary to justify your answer 30 kN 60 kN 30 kN

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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.