QUESTION 2
Figure 2 shows a design of one gear train on a shaft with a diameter of 50mm. Gear W and W2 are designed to be located and supported between two rigid bearings at R and R. Gear W and W are designed to overhang on the shaft after bearing R. The design speed of the shaft was limited to be operated below 5,000 RPM, and the shaft was made from stainless AISI 302 with a Young's modulus of 180x10^9 N/m. Ignore the self-weight of the shaft.
a) Draw a free body diagram and determine the value of R1 and R2 and their direction.
b) Draw the force and moment diagram and then obtain the location of the maximum bending moment.
c) Using Macaulay's method for the deflection of beams, determine the deflection at four points of pulleys W1, W2, W3, and W4.
d) Determine the critical speed of the shaft in RPM. Explain whether the critical speed is safe compared to the design speed. Justify your answer.
= 0.15m
42 = 0.15m
= 0.24m
0.2m
IXI
130N W
R.
300 W2
R, 250N W3
100N Wa
Figure 2