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 completelyreversible 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 safetyupto 4 digits.56 mm Dr = 3 mm50 mm D1. 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 willcalculated (by drawing and clearly showing the XYZ axes) and show it in a matrix form. Show which components of stresseswill 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.

Answered: Image /qna-images/answer/afa2eeab-f568-41cb-9369-34b60280edb8.jpg

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.

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.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.5.31P

See similar textbooks

Similar questions

Fast
Required information The cold-drawn AISI 1040 steel bar shown in the figure is subjected to an axial load that fluctuates from 8 kN to 30 kN. Use the Modified Goodman criterion and estimate the fatigue factor of safety based on achieving infinite life and the yielding factor of safety. 25 mm 10mm -6-mm D. What is the number of cycles to failure for this part? The number of cycles is 120000
A Component shown in figure below machined from a plate of steel C45 having ultimate strength as 630 MPa, yield stress as 540 MPa and endurance strength 225 MPa. It is subjected to a completely revered axial load from -50 kN to +50 kN and the factor of safety is 2. Determine the plate thickness having width as 100 mm by using soderberg fatigue equation.
1. A rotating l-in diameter solid round bar has a groove 0.1-in deep with a 0.1-radius machined into it. The bar is made of AISI 1020 CD steel and is subjected to a purely reversing torque of 1800 lbf-in. For the S-N curve of the material, let f= 0.9. 1) Estimate the number of cycles to failure. 2) If the bar is also placed in an environment with a temperature of 750 °F, estimate the number of cycles to failure. Note: for pure shear stress state, find ta and Tm to replace oa and om. Apply the load factor k. = 0.59. To get safety factor against first-cycle yielding, use Sgy=0.577 Sy (based on DE theory). For fatigue life or fatigue failure criteria, Replace Sut with Sgu. Ssu = 0.67Sµt
Do # 26 not # 25
This problem illustrates that the factor of safety for a machine element depends on the particular point selected for analysis. This bar is made of AISI 1006 cold-drawn steel and is loaded by the forces F=0.55 kN, P=4.0 kN, and T=25 N·m. (For AISI 1006 cold- drawn steel, S=280 MPa. “D." means diameter) (a) Calculate factor of safety at the position A based on the distortion-energy theory by calculating the von Mises stress. [6] (b) Calculate factor of safety at the position B based on the distortion-energy theory by calculating the von Mises stress. [6] unti O 15-mm D.
Please answer with full details.
The cold-drawn AISI 1040 steel bar shown in the figure is subjected to an axial load fluctuating between 0kN and 28kN. Estimate the fatigue factor of safety based on achieving infinite life using modified Goodman criterion and the yielding factor of safety. If infinite life is not predicted, estimate the number of cycles to failure.
The figure below is subjected to a load fluctuating between Pmin and Pmax. Calculate the factor of safety n for unlimited life based on the Goodman criterion. Given D= 120 mm, d= 80 mm ,r= 16 mm, t=15 mm, Sut-700 MPa, and the reliability of 99.9%. The fillets and adjacent surfaces are ground. Pmin = 90i – 50 k (kN) and Pmax = 210i + 50 k (kN) P D P
Solve please
NO CURSIVE
A NON- permanent bolted joints carrying tension load and has a stiffness constant of C= 0.2 the joint is using an MI4 X ISO 9.8 bolt . the bolt is subject to a repeated load of Pmax= 30KN. Find the factor of safety based on goodman theory, and also check the possibility of yielding .