A cube of a material with a yield strength of 100x10° N/m*is subjectedtotheloads shown onthe right. Will plastic/permanent deformation occur as a result of this loading? Consider Both the Tresca (Maximum Shear Stress) and Von-Mises (Distortion Energy) criteria F- 45x10'N F„| = 30x10'N IFJ = 60x10'N Cube with side length= 3x10*m Would this change if the directions of E, and Ex were reversed? Numerical Values Required

A cube of a material with a yield strength of 100x10° N/mis subjectedtotheloads shown onthe right. Will plastic/permanent deformation occur as a result of this loading? Consider Both the Tresca (Maximum Shear Stress) and Von-Mises (Distortion Energy) criteria F- 45x10'N F„| = 30x10'N IFJ = 60x10'N Cube with side length= 3x10m Would this change if the directions of E, and Ex were reversed? Numerical Values Required

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.7.19P: During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as...

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During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as follows: gage A, 520 × l0-6; gage B. 360 × l0-6; and gage C,-80 × 10-6. Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.
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.
A horizontal shaft of 75 mm diameter projects from a bearing, and in addition to the torque transmitted the shaft carries a vertical load of 8 kN at 300 mm from the bearing. If the safe stress for the material, as determined in a simple tension test, is 135 MN/m2, find the safe torque to which the shaft may be subjected using as the criterion (a) the maximum shearing stress, (b) the maximum strain energy per unit volume. Poisson’s ratio v = 0.29.[Ans: 5.05, 8.3 kN.m]
A sheet metal cutting machine cuts the sheet metal via shear force, V as shown in Fig. 1. The crosssection of sheet metal is rectangular with width, b = 3m and thickness, d = 5mm. The sheet metal ishaving yield strength σy = 220 MPa; Young’s modules, E = 200 GPa and Poisson’s ratio, ν = 0.3.Conduct the following analyses at the state of stress when maximum stress reaches σy and beforeshearing commences. (Need answer Question c) & d) c. Sketch the YIELD LOCI for both cases above. d. As a sheet-metal engineer, which failure criterion in (b) will you use to determine the cuttingshear force? Explain the reason for your answer.
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?
Read 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,
For a following loading that has generated the strain state below in the limit of isotropic elasticity, ?(epsilon) = 0.001 0.001 0 0.001 −0.002 0.0005 0 0.0005 0Find out how the stress state relates to yielding using a) Tresca criteriab) Von-Mises criteriaIf an experiment has shown that the yielding stress is 25 MPa. E=200 GPa and G=90 GPa.
A steel rotating-beam test specimen has an ultimate strength of 1600 MPa. Estimate the life of the specimenif it is tested at a completely reversed stress amplitude of 900 MPa.
Bar of steel, (yield strenght Sy = 469 MPa) is subjected to the following stresses; σx = 218 MPa , σy = -158 MPa , τxy = 138 MPa Using the Distortion-Energy Theory determine the factor of safety and check is the bar will fail or not.
(30%) A circular aluminum tube subjected to T pure torsion by torques T has an outer radius r2 equal to 2 times the inner radius r1. (a) If the maximum shear strain in the tube is measured as 500x10-6 rad, what is the shear strain y1 at the inner surface? (b) If the maximum allowable rate of twist (0) is 0.15°/m and the maximum shear strain is to be kept at 500x10-6 rad by adjusting the torque T, what is the minimum required outer radius (r2 )min?
The stresses on the surface of a hard bronze component are shown in the figure below. The yield strength of the bronze is σY = 345 MPa.a) What is the factor of safety predicted by the maximum-shear-stress theory of failure for the stress state shown? Does the component fail according to this theory?b) What is the value of the Mises equivalent stress for the given state of plane stress?c) What is the factor of safety predicted by the failure criterion of the maximum-distortion energy theory of failure? Does the component fail according to this theory?
Find the equivalent stresses at Points 1 and 2 of the element with given geometry and loading conditions according to the Maximum shear stress hypothesis and the Maximum strain energy hypothesis. Shaft diameter: 20 mm, Shaft Length 120 mm, F1 = 750N, F2 = 3000N, Mb = 2400 N.mm. Steel if St37 and Safety coefficient is 2 If taken, will this stick work safely under these operating conditions? (Yield of given steel Strength 225 Mpa, Tensile strength 370 Mpa)