The crank in the slider-crank mechanism shown in Fig. 12.27 rotates at a constant clockwise angular speed of \(1000 \mathrm{rpm}\). Find the stresses in the connecting rod and the crank when the pressure acting on the piston is \(1 \mathrm{MPa}\) and \(\theta=30^{\circ}\). The diameter of the piston is \(0.3 \mathrm{~m}\) and the material of the mechanism is steel. Model the connecting rod and the crank by one beam element each. The lengths of the crank and connecting rod are \(0.3 \mathrm{~m}\) and \(1.2 \mathrm{~m}\), respectively.

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X I 0.02 m 0.08 m -0.06 m 0.02 m Section X-X FIGURE 12.27 A slider-crank mechanism.