Member ABC, which is supported by a pin and bracket at C and a cable BD, was designed to support the 20-kN load P as shown. The pin at C has 20 mm diameter. a)  Draw complete free body diagram of member ABC and determine all forces acting upon it b)  If pin at C was made from steel with ultimate shear stress 300 MPa, calculate its factor of safety c)  Knowing that rope BD made of a material has allowable stress of 50 MPa, calculate its diameter d)  Use the information in part c, find the Young’s modulus of the rope material knowing that its length is 0.5 m and stretched by 0.5 mm upon the shown loading.

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Q: 1. Knowing that the ultimate load for cable BD (diameter is 20 mm) is 110 kN and that a factor of…

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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.