
A bar of steel has the minimum properties Se = 40 kpsi, Sy = 60 kpsi, and Sut = 80 kpsi. The bar is subjected to a steady torsional stress of 6 kpsi and an alternating bending stress of 23 kpsi. Find the factor of safety guarding against a static failure and either the factor of safety guarding against a fatigue failure or the expected life of the part. For the fatigue analysis, use
1. Modified Goodman criterion
2. Gerber criterion
3. Morrow criterion
Take τa = 0 kpsi and σm = 0 kpsi.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
What are the values of the alternating and mean von Mises stresses?
The alternating von Mises stress is kpsi.
The mean von Mises stress is kpsi.

Step by stepSolved in 2 steps with 2 images

- The steel AISI 4142 (450HB) will be subjected in service to a stress amplitude of 450 MPa and a mean stress of 400 MPa. A service life of 10,000 cycles is desired. What are the safety factors in stress and in life?arrow_forwardUse the von Mises failure criterion to solve for the minimum required yield stress if a factor of safety of 2 is needed and the applied state of plane stress is as given below. Give your answer as an integer in units of MPa (e.g. 200 or 200MPA) +100MP. |3D oy = -78MP. Try +30MP.arrow_forwardRead and Solve carefully please Write clearly and Box the Final answer Express your answer to 3 Significant figures and include appropriate units. QUESTION : Recall that for spings the Zimmerli point on the modified Goodman diagram is located at (Ssm, Ssa) = (55, 35) ksi. Suppose that a particular spring wire has a shear ultimate strength of Ssu = 89 ksi. Determine the shear endurance limit of the spring wire. Give your answer in units of ksi,arrow_forward
- 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 120000arrow_forwardPlease solve all the question handwrittenarrow_forwardThe beam is designed to carry a fluctuating stress from a load of 1,200-lb. The beam is made of Cold-Drawn AISI 1040 steel (wrought steel). Using the Goodman Method for Fatigue of Ductile materials, determine the design factor, N. 10 in 1200 lb 10 in 2-in diaarrow_forward
- The beam below is subjected to a sinusoidal forcing function with Fmax = F and Fmin -F/2 where l 40 mm. The cross section is a rectangular with thickness (t) and height (h). The beam is in room temperature, it is ground, it is 90% reliable. Find the stress state in the beam due to this loading. choose the type of steel that will give a safety factor of 3 for N=5E8 cycles using Goodman. 1 т, а — 0.4 т, b %3D 0.6 т, F 500 N,I %3D 2.85Е — 08 m*, h - b |R1 R2arrow_forwardcan you solve (a) and (c) using mohrs circlearrow_forwardParvinbhaiarrow_forward
- Thank you in advancearrow_forwardA ductile bar as shown in figure 1 has a yiel strength of oy = 390 MPa. Force F makes a 30° angle with the positive x axis. Deter- mined the magnitude of F that will cause yielding. Hint: Select the most loaded point in the structure and the failure theory to use according to the material (The standard one for this type of material). Refer to the lecture. 2 y 7 75 mm 500 mm F 300 mm Xarrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY





