Machine Design

1- Consider the shaft below. This shaft is rotating with a rotational rate of 500 rpm. All the dimensions shown are in millimeters. All the shoulders have fillets with a 2 mm radius. Assume the material used to make the shaft is cold-drawn AISI 1020. Assume the keyseats have dimensions of r/d = 0.02 at points A and B. The loads applied to the shaft from the gears are shown in the 3D image. Points O and C are supported by bearings. (50 points) a. Calculate the radial support forces on the bearings, assuming a simply supported beam. b. Plot the shear force and moment diagrams for this shaft. c. Determine the critical points on this shaft. d. Determine the midrange and alternating components of the bending moment and torque on critical points. e. Determine the endurance limit for this shaft. Assume 0.99 reliability. (Make reasonable assumptions for other correction factors) f. Focusing on the critical points calculate the minimum factor of safety using goodman's. criteria for infinite life. Does this shaft break?

Determine the power output. (You must provide part.)an answer before moving on to the next The power output is_______kW.

A system of four non-coplanar weights is arranged on a shaft (the angles and lengths on the figure are arbitrary), as shown in Figure 1. The shaft rotates at 200 rpm, LB =1200 (mm.) Assume the following data: For the unbalanced System, Figure 1 (Without the Two counterweights(ma and mB, at planes A & B respectively), calculate the magnitudes and relative angular orientations of the bearing reaction at C & D, Fill your answers in the following table Determine the masses (ma and mg) and angles of the counterweights incorrection planes A and B needed to dynamically balance the system, at RA400 mm., and Rg = 500mm. The correction planes are Lg =1200 (mm.)apart. Fill your answers in the following table:

Determine the exit pressure of the air. The exit pressure of the air is________kPa. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.Steam flows steadily through an adiabatic turbine. The inlet conditions of the steam are 4 MPa, 500°C, and 80 m/s and the exit conditions are 30 kPa, 92 percent quality, and 50 m/s. The mass flow rate of the steam is 11.8 kg/s. The properties of the steam are v1 = 0.086442 \mathrm{~m}^{3} / \mathrm{kg}, h_{1}=3446 \mathrm{~kJ} / \mathrm{kg}, \text { and } h_{2}=2437.7 \mathrm{~kJ} / \mathrm{kg} .

A mass-damper-spring system has equation of Ax + Bx + Cx = D (A in kg, B i n Ns/m,C in N/cm and D is external force in Newton). 1- Calculate the natural frequency and damping ratio of the system? 2- Describe the type of this vibrational system based on its damping ratio? 3- If we want to have a critical damped case, find the corresponding spring constant C. 4- If we would like to double the damping ratio, how much we should change mass A? 5- Clearly describe the resonance phenomena in excited mechanical vibration systems in your own wordings? (8 pts) 6- Explain in detail if there is a way in the current example that by changing force D, we can create resonance? If yes, what value of force D results resonance? (10 pts)

Below are two sets of position feature control frames, one of them is composite position and the other one is simply a two position call out. The upper entries of the two specifications are identical. However, there is a difference in the lower segments. In the space provided explain the meanings of these two lower segments. [10 pts.]

A 1-in-diameter solid round bar is made of AISI 1040 CD steel (sy= 71 kpsi, su = 85 kpsi ). It is operating at a temperature of 300°F, and is subjected to a purely reversing torque of 2000 lbf.in. Estimate the number of cycles to failure if the expected reliability is 99%. Redo the solution for a reversing torque of 8500 lbf.in. Note: The Von Mises stress for pure torsion would be o' = √37²

Determine the change in kinetic energy. (You must provide to the next part.)an answer before moving on The change in kinetic energy is_______kJ/kg.

Steam enters the turbine of an ideal Rankine cycle power plant with a pressure of 12.5 MPa and a temperature of 600°C and expands adiabatically to condenser pressure equal to 30 kPa. Please answer the following: a. Represent the cycle on a T-s diagram, indicate the values of the isobars and temperature and entropy on the axes. b. Compute the thermal efficiency for this cycle.

Design a compound, spur gear train for a ratio of -80:1 and diametral pitch of 12. Specify pitch diameters and numbers of teeth. Sketch the train to scale.