Question 1 The 150 kg bucket is suspended from a cable on the wooden frame. The frame is supported by a pin at E (which is connected in double-shear) and reinforced by a strut BD and a steel cable CF as shown in Figure 1 (attachment). The effect of friction at joints and support, the self-weight of the frames, and the deformation of the cable are neglected. (a) Sketch the free body diagram.  (b) Determine the internal force in cable CF and reaction forces at joint E.  (c) Determine the resultant internal loadings acting on section a-a.  (d) Determine the diameter of the pins at E if the allowable shear stress is τallow = 72 MPa. The pin is subjected to double shear.

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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.