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.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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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