The shaft shown in figure supports two gears. The shaft is made 600 mm from high carbon steel (quenched and tempered AISI 1080) with = 380 MPa. It is to be designed with a 400 mm S, = 615 MPa and S, 200 mm safety factor of 2.0. The gears transmit a constant torque caused by the tangential force component Pa = 2000 N acting vertically Pc (in z-direction as shown. The shaft has a constant machined cross-section. Gear A (600 mm diam) Perform the following: Gear C (300 mm diam) PA (in y-direction) a) What is the transmitted load P. on gear C? b) Draw a free-body diagram with forces acting on the shaft c) What is the critical location in the shaft? d) Use the DE-Goodman to determine the shaft diameter, (Note: Ignore all endurance limit modification factors except the surface finish factor)

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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.