man value of axial force and corresponding stress values. an value of torque and corresponding stress values. afety, n, upto 4 digits after decimal point using Gerber criterion. ety, n, upto 4 digits after decimal point. s not fail? to failure.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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The mounting arm shown in the figure below is to be made of machined AISI 1050 CD steel and is subjected to the axial force p-113 LN in cycles repeatedly from tension to compression, and the completely
reversible cyclic torsional moment of T-2.4 AN . Assume the component is operating at room temperature of 70°f and the material has 50% reliability factor. Also assume K,=1.38 and K, =1.32.
fatigue factor of safety
upto 4 digits.
56 mm D
r = 3 mm
50 mm D
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
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, S.
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:The mounting arm shown in the figure below is to be made of machined AISI 1050 CD steel and is subjected to the axial force p-113 LN in cycles repeatedly from tension to compression, and the completely reversible cyclic torsional moment of T-2.4 AN . Assume the component is operating at room temperature of 70°f and the material has 50% reliability factor. Also assume K,=1.38 and K, =1.32. fatigue factor of safety upto 4 digits. 56 mm D r = 3 mm 50 mm D 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 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, S. 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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