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- Figure below shows a portion of a pump that is gear-driven at uniform load and speed. The 25 mm diameter solod shaft supported by the bearings is to be made of machined AISI 1045 CD steel. The helical gear is subjected to the axial force F =499 y a radial load F = 741 N and a tangential load of F=2,006 N. Assume the component is operating at room temperature of 70°F and the material has 50% reliability factor. 25-mm solid Bending K, = 2.0 round shaft Fillet Torsional K = 1.5 F. F, Axial K, = 1.8 F Pump Helical spur gear 50 mm -250-mm dia.- FIGURE 1. Identify the critical location(s) of stress and show it clearly in a diagram. 2. Identify cleary, all the components of stresses (at the critical point) that will be calculated (by drawing and clearly showing the XYZ axes) and show it in a matrix form. Show which components of stresses will have a value zero or non-zero. 3. Calculate the principal stresses and principal directions. Show the principal stresses clearly in a stress element…Figure below shows a portion of a pump that is gear-driven at uniform load and speed. The 25 mm diameter solod shaft supported by the bearings is to be made of machined AISI 1045 CD steel. The helical gear is subjected to the axial force F-498 y a radial load F- 750 N and a tangential load of F-1.995 N. Assume the component is g at room temperature of 70F and the material has s0s reliability factor. Hint: Be careful when you calculate the bending moment at the fillet, as all the three forces on the helical gear cause bending moment at the fillet. Calculate resultant bedina moment from all the three forces. Bending moment is completely reversed loading.) 25-mm solid round shaft Fillet Bending K, = 2.0 Torsional k, = 1.5 Axial K,18 F. F, F Pump Helical spur gear -50 mm -250-mm dia FIGURE 1. Identify the critical locations) of stress and show it clearly in a diagram. 2 Identity cleary, all the components of stresses (at the critical point) that will be calcurated (by drawing and clearty…The chain drive is mounted in the center for the system shown in figure.It can transmit 15 hp at a speed of 400 rpm and the sprocket has a pitch diameter of 6 inches. The shaft is made of ASTM-A 709 Grade 50 steel. A factor of safety of 2.5 is required. Is the design acceptable? Hint: You need to calculate torsion and bending stresses during solution.
- In a particular application, the radial load acting on a ball bearing is 5 kN and the expected life for 90% of the hearings is 8000 Calculate the dynamic load carrying capacity of the bearing, when the shaft rotates at 1450 rpm.6. Design a clamp coupling for transmitting 36 kW, at 200 rpm. Allowable shear stress in shaft is 45 MPa, allowable shear stress in key is 40 MPa, and allowable crushing stress in key is 90 MPa. The number of bolts joining the two halves is 4. The permissible tensile stress in bolts is 60 MPa. The coefficient of friction between the muff and shaft can be taken as 0.25The value of curvature correction factor k, will be if the spring index is 6. O a. 1.33 O b. 1.08 O c. 0.92 O d. 4.00 The figure below shows the components of normal forces, the value of radial force on the gear wheel due to a tangential force of 642 N is N, Take pressure angle as 14½0. at Pitch P. point Gear driven to 02 The radial force is
- The pedal system shown in the figure is exerted by both an up and down mechanism. These forces are Fmax=350*SN/10 N, Fmin=-150*SN/10 N. It is desired that h/b = 5 seen in the figure. This piece is AISI 1040 and has a maximum tensile stress of 670Mpa and a yield stress of 540Mpa. Known weakening factors are known as kb=ky=kd=0.8. The notch factor for all stresses is assumed to be Kç=1.5. It is desired to last up to its minimum indefinite life at the cross-section measurement point (bxh) shown in the figure. According to Goodman theory, what should be the minimum size (b and h value) of this section in order to meet this condition. SN=89A cylinder with a nominal 2.5 in ID, a 4.0 in OD, and a 3.0 in length is to be mated with a solid shaft with a nominal 2.5 in diameter. A medium drive fit is desired (as defined in Table 7-9). The cylinder and shaft are made from steel, with Sy = 100 kpsi and E = 30 Mpsi. The coefficient of friction for the steel interface is 0.7. a. Specify the maximum and minimum allowable diameters for both the cylinder hole and the shaft. b. Determine the torque that can be transmitted through this joint, assuming the shaft and cylinder are both manufactured within their tolerances such that the minimum interference is achieved. c. Suppose the shaft and cylinder are both manufactured within their tolerances such that the maximum interference is achieved. Check for yielding of the cylinder at its inner radius by finding the following: i. The pressure at the interface ii. The tangential and radial stresses in the cylinder, at its inner radius. iii. The factor of safety for static yielding of the…10-23 Problem 10-23 Clamping fixture. A holding fixture for a workpiece 37.5 mm thick at the clamp locations is being designed. The detail of one of the clamps is shown in the figure. A spring is required to drive the clamp upward when removing the workpiece with a starting force of 45 N. The clamp screw has an M10 X 1.25 thread. Allow a diametral clearance of 1.25 mm between it and the uncompressed spring. It is further specified that the free length of the spring should be Lo ≤ 48 mm, the solid height L, 31.5 mm, and the safety factor when closed solid should be n, 1.2. Starting with d = 2 mm, design a suitable helical coil compression spring for this fixture. For A227 HD steel, wire diameters are available in 0.2-mm increments between 0.2 to 3.2 mm. Clamp screw Spherical washer Slot Workpiece Clamp Groove Pin
- A 20° 20-tooth cast-iron spur pinion having a module of 4 mm drives a 32-tooth cast-iron gear. Find the contact stress if the pinion speed is 1020 rev/min, the face width is 50 mm, and 10 kW of power is transmitted. Refer to table number 14-8 for elastic coefficient. The contact stress is MPa.Required information A helical coil compression spring is needed for food service machinery. The load varies from a minimum of Fmin 4 lbf to a maximum of Fmax 16 lbf. The spring rate k is to be 9.5 Ibf/in. The outside diameter of the spring cannot exceed 2.5 in. The spring maker has available suitable dies for drawing 0.08-in-diameter wire. Use a fatigue design factor nf of 1.5 and the Gerber-Zimmerli fatigue-failure criterion. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Determine the values for each of the following for a value of 0.08 in: The torsional modulus of rupture, Ssu, is kpsi. Torsional yield strength, Ssy, is | kpsi. The endurance strength, assuming unpeened spring wire, Sse, is The value of the mean diameter, D, is in. The alternating shear stress, Ta, is The fatigue factor of safety, nf, is The free length, Lo, is The critical length, LO(cr), is in. in. kpsi. kpsi.Required information A helical coil compression spring is needed for food service machinery. The load varies from a minimum of Fmin 4 lbf to a maximum of Fmax 16 lbf. The spring rate k is to be 9.5 lbf/in. The outside diameter of the spring cannot exceed 2.5 in. The spring maker has available suitable dies for drawing 0.08-in-diameter wire. Use a fatigue design factor nf of 1.5 and the Gerber-Zimmerli fatigue-failure criterion. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. For a wire diameter of 0.08 in, what is the value of: The static factor of safety, ns, is The critical frequency, f,is Hz.