A schematic of a clutch-testing machine is shown. The steel shaft (E=207 GPa, G= 80 GPa) with a 60 cm length rotates at a constant speed n = 1000 + 10X rpm. When the clutch is engaged, an axial load, P = 10,000 - 50X N is applied to the shaft to make contact between the friction pad and the clutch plate and H = 150 kW of power is transmitted. Here X is the last two digits of your student number. 1. Find the torque applied to the shaft when the clutch is engaged. [3] 2. Locate/Indicate the position (axial and radial) of the critical stress element on the shaft. Draw this element with the applied stresses indicated. [4] 3. Determine the maximum principle stress and the maximum shear stress. experienced by the critical stress element. [3] 4. 5. 6. Draw a complete Mohr Circle Diagram showing the rotations towards the maximum principle stress and maximum shear stress. [3] Draw two stress elements corresponding to these transformations with stresses and angles indicated. [4] Determine the angle of twist (in degrees) due to the generated torque when the clutch is engaged. [3] For example, if your student number is 442233564 then X = 64, and as per the question n = 1000+ 10(64) = 1640 rpm and P = 10000 - 50(64) = 6800 N. Hint: Considering this is only a static analysis, and for a ductile material, you can ignore the effect of stress concentrations. d = 4 cm T P Friction pad D = 25 cm