Figure below shours a portion of a pump that is gear-diven at uniform load and speed The 25 mm dameter solod shaft supported by the bearings is to be made of machined AISI 1045 CD steel. The helical gear is subjected to the asial forceF a radial load 750 N and a tangential load of F-1.995 N. Assu operating at room temperature of z0 and the material has sos reliability factor. Hint Be caretul when you calculate the bending moment at the filet, as all the three forces on the helical gear cause bending moment at the filet. Calculate resultant bedina moment from all the three forces. Bending moment is completely reverse 25-mm solid (Bending K, 2.0 round shaft Faet Torsional k, =1.5 Asial K,18 F, Pump Helical spur gear 50 mm -250-mm dia.- FIGURE

Elements Of Electromagnetics
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Author: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-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 showing the XYZ axes) and show it in a matrix form. Show vihich 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. Clearty 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, S,
S. Calculate the ampitude and mean value of axial force and coresponding stress values.
O Calculate the ampitude and mean value of torque and corresponding stress values
1. Calculate the fatigue factor of safety, , upto 4 digits afer decimal point using Gerber criterion.
8 Calculate the yield factor of safety. , upto 4 digits after decimal point
e. Does the component fal 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-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 showing the XYZ axes) and show it in a matrix form. Show vihich 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. Clearty 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, S, S. Calculate the ampitude and mean value of axial force and coresponding stress values. O Calculate the ampitude and mean value of torque and corresponding stress values 1. Calculate the fatigue factor of safety, , upto 4 digits afer decimal point using Gerber criterion. 8 Calculate the yield factor of safety. , upto 4 digits after decimal point e. Does the component fal or does not fail? 10 Caulculate the numer of cycles to failure
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