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A solid circular shaft 125 mm diameter rotates in bearings at 30 rad/s. Transverse loadings produce a maximum bending moment of 10 kNm. Given the tensile yield stress of the shaft material as 300 MPa, find the power this shaft can transmit according to the Tresca and von Mises yield criteria.
(30 pts) Shaft Yielding. A solid circular shaft with 125 mm diameter rotates in bearings at 30 rad/s. Transverse loadings produce a maximum bending moment of 10 kNm. (For 3. e meaning of transverse loading see the image below.) Given the tensile yield strength th of the shaft material as 300 MPa, find the power this shaft can transmit according to the Tresca and von Mises yield criteria. Hint: You may need to use Engineer's Theory of Bending (ETB) to...
Solve in SI units.
A gear reduction unit uses the countershaft shown in the figure.
Gear A receives power from another gear with the transmitted force
FA applied at the 20ᵒ pressure angle as shown. The power is
transmitted through the shaft and delivered through gear B through
a transmitted force FB at the pressure angle shown. a) Determine
the force FB, assuming the shaft is running at a constant speed. b)
Find the magnitudes of the bearing reaction forces,...
Stress Analysis
3. A 20-mm diameter rod made ofa ductile material with a yield strength of 350 MPa is subjected to torque of 100 N.m and a bending moment of 150 N.m. An axial force is then gradually applied. Determine the value of force when the rod begins to yield. Solve the problem two ways using the (a) Tresca theory (Maximum shearing stress theory) and (b) von Mises theory (Maximum distortion energy theory) [12+12 points
3. A 20-mm diameter rod...
2. Given the shaft specifications and gear diameters, determine largest allowable force P2. gear A diameter-300 mm gear C diamter 400 mm alow60 MPa dshaft44 mm 80 mm 25O mm 250 1. Set P1 1 kN 2. Find torque between A and C 3. Calculate shear stress 4. Find maximum moment about y-axis (fbd of x-z plane) 5. Find maximum moment about z-axis (fbd of y-z plane) 6. Find resultant moment 7. Calculate normal stress for resultant bending moment 8....
machine design question
Q1. Load and Stress Analysis The countershaft with the reverse gears attached to is shown in figure 2 with the dimension given in table 1. Gear A receives power from another gear with the transmitted force Fa applied at the pressure angle au as shown. The power is transmitted through the shaft and delivered through gear B through a transmitted force Fs at the pressure angle shown. You can find the values of the parameters in table...
6 dia 300 Ibf 50 lbf T. . 1 dia 8 dia A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives power from a motor through a belt with the belt tension shown. The power is transmitted through the shaft and delivered to the belt on pulley B. Assume the belt tension on the loose side at B is 15% of the tension on the tight side. 3. (5) Determine the tensions in the belt...
A shaft with a diameter of 43 mm, is shown below On the right
hand side at location D a wheel has a force F of 4824N applied. The
diameter of this wheel is 150 mm. The torque produced by F is
transmitted through the entire shaft to location A where the torque
is reacted. There are no other constraints at location A. Bearings,
are located at B and C, and provide radial constraint. The bearing
at B also provides...
Extra Credit) A gear reduction unit uses the countershaft shown in the figure. Gear A receives power from another gear with the transmitted force FA applied at the 20° pressure angle as shown. The power is transmitted through the shaft and delivered through gear B through a transmitted force FB at the pressure angle shown. (a) Determine the force FB, assuming the shaft is running at a constant speed. (b) Find the magnitudes of the bearing reaction forces, assuming the...
I. The countershaft shown in the Fig Q1 has two spur gears mounted on it with teeth cut wi a 20 pressure angle. The shaft (grooved) is to be made of cold-drawn AISI 1040 steel havin Sut 779 MPa and S,-593 MPa, an elongation of 19% and HB-262. You are asked to size the shaft for safe operation according to DE-Elliptic criterion by using a factor of safety of 2.5 and a reliability of 99 percent. The stress-concentration factors for...