Problem 1

Your manufacturing company has been contracted to manufacture 10,000 custom cotter pins that secure the PTO to external attachments for a new tractor model. The delivered outer diameter of the pins must be \(0.625\pm0.01"\). Your quality control team has run some test batches of the pins and have found that the manufacturing process produces a mean diameter of 0.621" with a standard deviation of 0.004". How many more pins will you have to make to ensure you deliver 10,000 pins that meet the criteria?

Problem 2

Part 1

Determine the internal loads and the maximum normal stress at section C-C (symbolic form).

Part 2

It has been determined that the design factor for this part is to be 3 with respect to yielding. If the material is 1018 steel, will a cross section width of \(w=1cm\) of the square bar be able to meet this design factor if only the maximum normal stress is considered with \(P=60N\), \(a=6cm\), and \(b=5cm\)? Compute the actual factor of saftey to show this.

Problem 3

Draw the shear and moment diagrams for the beam shown in the figure.