101the three shafts if the diameter ratio is 2 (D/d = 2)? Ans.na, tension = 1.21, na, bending = 1.19, na, torsion = 1.17.6.32 A material with a yield strength of S₁ = 350 MPa issubjected to the stress state shown in Sketch c. What isthe factor of safety based on the maximum shear stressand distortion energy theories? Ans. For MSST, n, =11.67.50 MPa85 MPa20 MPa70 MPaSketch c, for Problems 6.32 and 6.33

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Answered: 101 the three shafts if the diameter…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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A part is loaded with a combination of bending, axial, and torsion such that the following stresses are created at a particular location:Bending: Completely reversed, with a maximum stress of 60 MPaAxial: Constant stress of 20 MPaTorsion: Repeated load, varying from 0 MPa to 70 MPaAssume the varying stresses are in phase with each other. The part contains a notch such that Kf,bending = 1.4, Kf,axial = 1.1, and Kf,torsion = 2.0. The material properties are Sy = 300 MPa and Su = 400 MPa. The completely adjusted endurance limit is found to be Se = 160 MPa. Find the factor of safety for fatigue based on infinite life, using the Goodman criteria. If the life is not infinite, estimate the number of cycles, using the Walker criterion to find the equivalent completely reversed stress. Be sure to check for yielding.
Q2. Determine the safety factors for the bracket rod shown in Figure 2 based on both the distortion-energy theory and the maximum shear theory and compare them. Given: The material is 2024-T4 aluminum with a yield strength of 47 000 psi. The rod length /= 6 in. and arm a = 8 in. The rod outside diameter od 1.5 in., id = 1 in, h=2 in., t=0.5 in., Load F= 1000 lb. Assumptions: The load is static and the assembly is at room temperature. Consider shear due to transverse loading as well as other stresses. (Note: solve in SI units) wall tube Figure 2 arm
Ex. Determine the safety factors for the bracket rod based on the distortion "energy theory and max. shear theory both Given: L= 6 in held 47000 Psi and material is ductile. a = 8 in d = 1.5 in F = 7000-16 arm し Tod F a d
Please answer all 3 parts of the quesiton
Q2: A cold drawn steel rod of circular cross- section is subjected to a variable bending moment of 565 N.m to 1130 N-m as the axial load varies from 4500 N to 13 500 N. Determine the required diameter of the rod for a factor of safety 2. Neglect any stress concentration and column effect. Assume the following values: Ultimate strength = 550 MPa %3D Yield strength = 470 MPa Size factor = 0.85 Surface finish factor = 0.89 Correction factors = 1.0 for bending = 0.7 for axial %3D load The endurance limit in reversed bending may be taken as one-half the ultimate strength.
Please solve all part's correctly
The fluctuating stresses listed in the table are found at a critical location of a component made of steel with Se = 40 ksi, Sy = 80 ksi, Sut = 110 ksi and f= 0.87. These stresses are applied on the part within 10 s. What is the accumulative damage of this part? What is the life of the part in hours if this stress pattern continues to repeat for the remained of the part's life? Use Goodman criterion and Miner's rule in your solution. Loading order |Omin o max |Number of cycles -20 30 -10 50 1 3. -30 30 1
Problem 4) A helical compression spring is made of hard drawn carbon A227 steel has a wire diameter of 0.94 mm. The outside diameter of the spring is 11.11mm. The ends are squared and there are 12.5 total turns. G = 79.3 GPa and use Table 1 in lecture if torsional yield%3D0.45 ultimate stress a) Estimate the torsional yield strength of the wire. b) Estimate the static load corresponding to the yield strength. c) Estimate the scale of the spring (the spring constant). d) Estimate the deflection that would be caused by the load in part b e) Estimate the solid length of the spring f) What length should the spring be to ensure that when it is compressed solid and then released, there will be no permanent change in the free length? g) f), is buckling a possibility? Given the length found in part (h) What is the pitch of the body coil?
a) A bar of normalized AISI 4130 is subjected to a steady torsional stress of 103 MPa, an alternating torsional stress of 69 MPa, and alternating bending stress of 83 MPa. It has an endurance limit of 276 MPa. Using Gerber and ASME-elliptic criteria, find the safety factors guarding against a fatigue failure and the expected life of the part. Analyse your results. b) A bar of 25 mm diameter cold-drawn SAE 1045 steel is loaded in rotating bending. Determine its endurance limit or strength.
A thin-walled cylindrical tube with internal diameter and thickness of 50 mm and 0.5 mm, respectively is pressurized to 2 MPa. During installation, the cylindrical tube is also subjected to a bending moment of magnitude 10 N-m. The tube is made of aluminum alloy with the yield strength of 85 MPa.i) Calculate the stress state at the critical material point of the tube.ii) Determine if the loading would cause failure by yielding, based on the Tresca and von Mises yield criterion. Sketch the loci of the yield criteria in the principal stress axis and indicate the stress condition.
1. A steel shaft is subjected to a fluctuating torque, T, as shown below. All surfaces are machined, reliability is 50%, and temperature is 200 F. Material properties are Su = 162 ksi and Sy = 138 ksi. 1.2 in. dia. 1.0 in. dia. Ꭲ 0.1 in R T プ 1 in. dia, hole 0.1 in R a) Find o em' σ for this loading condition. ea b) If the loading is such that 7000 lb-in. 3000 lb-in. 0 increases proportionally, find the safety factor for 10° cycles. σ em
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