A rosette consisting of 3 gages forming, respectively, angles of θa, θb and θc with the x-axis is attached to the free surface of machine components made of material with a given Poisson’s ratio v and Modulus of elasticity E as shown in Fig. 6. Take note that strain values given above are the gage readings and not principal strains. 25 mm250 mm2145°Ait75 mm 75 mm1XFig. 6: A rosette mounted on a machinepart with v = 0.3 and E = 200GPa. Gage readingsare:£1 = -75 × 106 mm/mm,82 = 300 × 106 mm/mm83 = 250 x 10-6 mm/mm a. Normal strain and shear strain components, Ex, Ey, &z and Xxy.b. Magnitude and orientation of the maximum shear strain, Ymax (determine theorientation in degrees, measured from given state of strains).c. Principal strain components, 81, 82, and 83.d. Orientation of the principal strain plane (determine the orientation in degrees,measured from given state of strains).e. Draw 3 dimensional Mohr diagram and indicate the points X (given state ofstrains), center, 8₁, 82, 83, and Ymax together with their coordinate values. Alsoindicate the orientation of Ymax and orientation of the principal plane (bothmeasured from given state of strains (point X)).f. Normal stress and shear stress components, Ox, Oy, O₂ and Txy.g. Magnitude and orientation of the maximum shear stress, Tmax (determine theorientation in degrees, measured from given state of stresses).h. Principal stress components, 01, 02, and 03.i.j.Draw 3 dimensional Mohr diagram and indicate the points X (given state ofstresses), center, 01, 02, 03, and Tmax together with their coordinate values. Alsoindicate the orientation of Tmax and orientation of the principal plane (bothmeasured from given state of strains (point X)).Orientation of the principal stress plane (determine the orientation in degrees,measured from given state of stresses).

Given Data: v=0.3E=200 GPaε1=-75×10-6ε2=300×10-6ε3=250×10-6 To Find:

a. Normal strain and shear strain components, Ex, Ey, &z and Yxy. b. Magnitude and orientation of the maximum shear strain, Ymax (determine the orientation in degrees, measured from given state of strains). c. Principal strain components, 81, 82, and 83. d. Orientation of the principal strain plane (determine the orientation in degrees, measured from given state of strains).

a. Normal strain and shear strain components, Ex, Ey, &z and Yxy. b. Magnitude and orientation of the maximum shear strain, Ymax (determine the orientation in degrees, measured from given state of strains). c. Principal strain components, 81, 82, and 83. d. Orientation of the principal strain plane (determine the orientation in degrees, measured from given state of strains).

Refrigeration and Air Conditioning Technology (MindTap Course List)

8th Edition

ISBN:9781305578296

Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson

Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson

Chapter1: Heat, Temperature, And Pressure

Section: Chapter Questions

Problem 17RQ: Convert 22C to Fahrenheit.

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