Gear-4 Out-Put Gear-1 CW rotation in-put 600 mm 200 mm 200 mm Shaft-2 Support-A Gear-3 Support-B Gear-2 Design and construct shaft (2) only as shown in the Figure Use the following data: Diameter of gear-1= 150 mm, Diameter of gear-2 = 450 mm, Diameter of gear-3 = 300 mm, and Diameter of gear-4 = 600 mm, use gears' pressure angle = 20° Step (1): 1. Calculate Torque (T₁) and (T2) in (N.m.) at Shaft-1 and shaft-2 respectively. 2. Calculate the tangent and radial components on gears (2 and 3) in (N) name them as follows; (F12), (F12) for tangent and radial components respectively for the effect of gear-lon gear-2 and (F43)', (F43)' for tangent and radial components respectively for the effect of gear 4 on 3. 3. Draw 2-D force analysis in the two different planes for shaft-2. 4. Get the reactions at supports (A and B) for both planes. Step (2): 5. Get Maximum moment value at each plane (Mmax)x and (Mmax)y in (N.m), Check if both at same point on the shaft. 6. Get the values of flexural stresses σ, and σy in (MPa). 7. Get the value of torsional stress Txy in (MPa). 8. Get the principle stresses σ and σ2 in (MPa). 9. Use both the distortion energy and the Maximum shear stress theory to get the save shaft diameter. (Use AISI 1020 CD for the shaft-2 material and design factor = 3) Ultimate tensile strength = 470 MPa, yield strength = 390 MPa, HBn = 111 10. Get the standard shaft diameter (d)st. in (mm) to nearest 5 mm. Step (3): 11. Construct the shaft, use free hand schematic drawing and consider assembled element. Show dimensions in mm. 12. Get the critical cross-section and show how did you identify it? Then, calculate its endurance fatigue strength value (σ, in MPa). Assume machined, 99.9% reliability and working at room temperature or below 250°C. 13. Check for first cycle yielding. Show ny value and indicate what does it mean? 14. Get the fatigue factor of safety (nf) and the fatigue stresses (of) based on the following criteria: 1. Soderberg, 2. mod-Goodman, 3. Gerber and 4. ASME-elliptic. 15. Calculate the life-time of the shaft in (years) according to each criterion.