Solution: The shaft is supported by smooth journal bearings

Chapter 6, Problem 6-68

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QUESTION:

The shaft is supported by smooth journal bearings at A and B that only exert vertical reactions on the shaft. Determine its smallest diameter d if the allowable bending stress is \(\sigma_{\text {allow }}=180 \mathrm{MPa}\).

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Questions & Answers

QUESTION:

The shaft is supported by smooth journal bearings at A and B that only exert vertical reactions on the shaft. Determine its smallest diameter d if the allowable bending stress is \(\sigma_{\text {allow }}=180 \mathrm{MPa}\).

\

ANSWER:

Step 1 of 3

The free body diagram of the shaft is shown below,

Applying force balance in vertical direction,

                                           

The sum of moments about point A would be zero, and it can be written as,

           

The reaction force acting at point A will be,

                                                           

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