The strain rosette shown was used to obtain normal strain data at a point on the free surface of a machine component. Given the values e, -165 μe, es= 155 μe, e = 50 μe, E = 10,600 ksi, and v=0.33, determine (a) the stress components a,,a,, and ry at the point. (b) the principal stresses and the maximum in-plane shear stress at the point; on paper, show these stresses on an appropriate sketch that indicates the orientation of the principal planes and the planes of maximum in-plane shear stress. (c) the magnitude of the absolute maximum shear stress at the point.

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 7.7.20P: A strain rosette (see figure) mounted on the surface of an automobile frame gives the following...
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The strain rosette shown was used to obtain normal strain data at a point on the free surface of a machine component. Given the
values = -165 µμe, e = -155 μe, e = 50 μe, E = 10,600 ksi, and v=0.33, determine
(a) the stress components o,,o,, and ry at the point.
(b) the principal stresses and the maximum in-plane shear stress at the point; on paper, show these stresses on an appropriate sketch
that indicates the orientation of the principal planes and the planes of maximum in-plane shear stress.
(c) the magnitude of the absolute maximum shear stress at the point.
45°
45°
Transcribed Image Text:The strain rosette shown was used to obtain normal strain data at a point on the free surface of a machine component. Given the values = -165 µμe, e = -155 μe, e = 50 μe, E = 10,600 ksi, and v=0.33, determine (a) the stress components o,,o,, and ry at the point. (b) the principal stresses and the maximum in-plane shear stress at the point; on paper, show these stresses on an appropriate sketch that indicates the orientation of the principal planes and the planes of maximum in-plane shear stress. (c) the magnitude of the absolute maximum shear stress at the point. 45° 45°
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