Problem 2: Determine the Factor of Safety for the following condition:(a) Using distortion-energy theory, determine the factor of safety of a AISI 1040 hot-rolled steel for thefollowing plane stress states:o = -50 MPa, o, = 40 MPa, Ty=-80 MPa(b) Using Coulomb-Mohr and Modified mohr theory, determine the factor of safety of a ASTM 50 cast iron forthe following principal stress states:o, = 10 kpsi, o, = -15 kpsi, ty= -20 kpsi

Answered: Problem 2: Determine the Factor of…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A component is subjected to a maximum cyclic stress of 750 MPa and a minimum of 70 MPa. The steelfrom which it is manufactured has an ultimate tensile strength, σu, of 1050 MPa and a measured endurancelimit, σe, of 400 MPa. The fully reversed stress at 1000 cycles is 750 MPa. Using both the Goodman and Gerbermean stress correction procedures, calculate the component life.
Produced from xCy steel material by machining method, the shaft is bedded at C and D points. With the shaft, constant Fy= 870 N forces in the vertical direction and constant Fx= 4,7 kN forces in the axial direction, which do not rotate together. The tensile strength of the shaft material is (sigma)tensile = 670 MPa and the yield strength is (sigma)yield = 470 MPa. For 50% reliability, analyze the fatigue damage condition of the shaft sections A and B separately. Note: Take SI unit and make the solutions legit and clear please
Produced from xCy steel material by machining method, the shaft is bedded at C and D points. With the shaft, constant Fy= 820 N forces in the vertical direction and constant Fx= 4,2 kN forces in the axial direction, which do not rotate together. The tensile strength of the shaft material is (sigma)tensile = (sigma)ut = 620 MPa and the yield strength is (sigma)yield = 420 MPa. For 50% reliability, analyze the fatigue damage condition of the shaft sections A and B separately.
Produced from xCy steel material by machining method, the shaft is bedded at C and D points. With the shaft, constant Fy= 870 N forces in the vertical direction and constant Fx= 4,7 kN forces in the axial direction, which do not rotate together. The tensile strength of the shaft material is (sigma)tensile = 670 MPa and the yield strength is (sigma)yield = 470 MPa. For 50% reliability, analyze the fatigue damage condition of the shaft sections A and B separately.
Produced from xCy steel material by machining method, the shaft is bedded at C and D points. With the shaft, constant Fy= 830 N forces in the vertical direction and constant Fx= 4,3 kN forces in the axial direction, which do not rotate together. The tensile strength of the shaft material is (sigma)tensile = 630 MPa and the yield strength is (sigma)yield = 430 MPa. For 50% reliability, analyze the fatigue damage condition of the shaft sections A and B separately.Question: How do we apply a tensile force to a part supported on both sides?Answer: We think that one of the bearings is a bearing that allows axial movement.(Take SI unit and make the solutions legit and clear please. I need an answer even though it doesn't reach a clear solution.)
The shaft below is an engine component that is rotating. It is machined from an unknown ductile material with a measured ultimate tensile strength of 700 MPa. Answer the questions below assuming a desired reliability of 99% and a fatigue fraction, f, of 0.9. Round all values and answers to 2 decimal places Determine the maximum stress in the shaft due to the applied loading (hint: what is the maximum moment?) Estimate the endurance limit (hint: what is the relationship between Se and Sut and don’t forget any necessary modifying factors.) Determine the number of cycles to failure.
1. A part made of Aluminum 6061-T6 has a yield strength = 400 MPa. For each stress state below, draw all 3 Mohr's circles, find the principal stresses, and calculate the safety factor against yield using both the distortion-energy (von Mises) and maximum shear stress (Tresca) criterions. (If relevant) A clearly labeled diagram (or diagrams) clearly pertaining to your analysis with a coordinate system and relevant labels. Final answer with appropriate units and significant figures. You can use the fprintf() command in MATLAB to format numerical results A 2-3 sentence reflection on your answer. Does it make sense? Why or why not? What are some implications?
The state of stress acting at a critical point on a wrench is shown. Determine the smallest yield stress for steel that might be selected for the part, based on the maximum distortion energy theory.
An ASTM cast iron, grade 30, has ultimate strength at tension Sut = 350 MPa, and at compression Suc = 1150 MPa. it carries static loading resulting in the stress state listed below at the critical locations. Using the static failure analysis estimate the factor of safety. σA = 127 MPa, σB = -264 MPa.
An ASTM cast iron, grade 30, has ultimate strength at tension Sut = 345 MPa, and at compression Suc = 1,147 MPa. it carries static loading resulting in the following principle stress σA = 140 MPa , σB = -253 MPa. Choose the appropriate failure theory and estimate the factor of safety.
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?
A steel with a yield stress of 300 MPa is tested under a state of stress whereσ2 = σ1/2 and σ3 = 0. What is the stress at which yielding occurs if it isassumed that:(a) The maximum-normal-stress criterion holds?(b) The maximum-shear-stress criterion holds?(c) The distortion-energy criterion holds?

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