"Prob. 3.3-10. A 12-ft beam AB that weighs W, 180 lb supports an air conditioner that weighs W, = 1000 lb. The beam, in turn, is supported by hanger rods (1) and (2), as shown in Fig. P3.3-10. (a) If the diameter of rod (1) is in.. what is the stress, or, in the rod? (b) If the stress in rod (2) is to be the same as the stress in rod (1), what should the diameter of rod (2) be (to the nearest in.)? (c) If the two support rods are sized as determined in Part (b). their lengths are L₁ L₂ = 6 ft, and they are made of steel with E 30 x 10 ksi, what will be the downward displacements A and us of the ends of the beam? 4₁ (1) W₁ = 1000 lb 4 ft 6 ft W₁ = 180 lb -6 ft B

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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.