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 %3D material has 50% reliability factor.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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 with respect to
original XYZ coordinate system.
4. Clearly show the calculations for all the 6 Marin factors (Use only the formula sheet provided in the beginning of the test)
and calculate the endurance limit, Se.
5. Calculate the amplitude and mean value of axial force and corresponding stress values.
6. Calculate the amplitude and mean value of torque and corresponding stress values.
7. Calculate the fatigue factor of safety, n , upto 4 digits after decimal point using Gerber criterion.
8. Calculate the yield factor of safety, n, upto 4 digits after decimal point.
9. Does the component fail or does not fail?
10. Caulculate the numer of cycles to failure.
Transcribed Image Text: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 with respect to original XYZ coordinate system. 4. Clearly show the calculations for all the 6 Marin factors (Use only the formula sheet provided in the beginning of the test) and calculate the endurance limit, Se. 5. Calculate the amplitude and mean value of axial force and corresponding stress values. 6. Calculate the amplitude and mean value of torque and corresponding stress values. 7. Calculate the fatigue factor of safety, n , upto 4 digits after decimal point using Gerber criterion. 8. Calculate the yield factor of safety, n, upto 4 digits after decimal point. 9. Does the component fail or does not fail? 10. Caulculate the numer of cycles to failure.
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