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. PLEASE ANSWER I,G,H

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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.

PLEASE ANSWER I,G,H

a. Normal strain and shear strain components,
and y
b. Magnitude and orientation of the maximum shear strain, Yu (determine the
orientation in degrees, measured from given state of strains).
c. Principal strain components, 1, 2, and £3.
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 of
strains), center, E. 2, 3, and Ymx together with their coordinate values. Also
indicate the orientation of you and orientation of the principal plane (both
measured from given state of strains (point X)).
f. Normal stress and shear stress components, 0, 0, 0, and ty
g.
Magnitude and orientation of the maximum shear stress, (determine the
orientation in degrees, measured from given state of stresses).
h. Principal stress components, 61, 62, and a3.
i. Orientation of the principal stress plane (determine the orientation in degrees,
measured from given state of stresses).
j. Draw 3 dimensional Mohr diagram and indicate the points X (given state of
stresses), center, 01, 02, 0s, and ts together with their coordinate values. Also
indicate the orientation of an and orientation of the principal plane (both
measured from given state of strains (point X)).
Transcribed Image Text:a. Normal strain and shear strain components, and y b. Magnitude and orientation of the maximum shear strain, Yu (determine the orientation in degrees, measured from given state of strains). c. Principal strain components, 1, 2, and £3. 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 of strains), center, E. 2, 3, and Ymx together with their coordinate values. Also indicate the orientation of you and orientation of the principal plane (both measured from given state of strains (point X)). f. Normal stress and shear stress components, 0, 0, 0, and ty g. Magnitude and orientation of the maximum shear stress, (determine the orientation in degrees, measured from given state of stresses). h. Principal stress components, 61, 62, and a3. i. Orientation of the principal stress plane (determine the orientation in degrees, measured from given state of stresses). j. Draw 3 dimensional Mohr diagram and indicate the points X (given state of stresses), center, 01, 02, 0s, and ts together with their coordinate values. Also indicate the orientation of an and orientation of the principal plane (both measured from given state of strains (point X)).
25 mm
250 mm
2
Ai
75 mm 75 mm
45°
Fig. 6: A rosette mounted on a machine
part with v=0.3 and E = 200GPa. Gage readings
are:
E1 = -75 x 10
mm/mm,
82 300 x 10
mm/mm
83 = 250 × 106 mm/mm
Transcribed Image Text:25 mm 250 mm 2 Ai 75 mm 75 mm 45° Fig. 6: A rosette mounted on a machine part with v=0.3 and E = 200GPa. Gage readings are: E1 = -75 x 10 mm/mm, 82 300 x 10 mm/mm 83 = 250 × 106 mm/mm
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