2a. The delta strain gauge rosette shown in Figure 2a is attached to a structural component and measures the following strains: e, = 775x106, ɛz = 415×106, ɛ̟ =-515x10°. Determine the principal strain and principal stress components in both magnitude and direction given that the structure has a Young's Modulus of E = 200×10² N/mm? and Poisson's ratio of v = 0.3 . Show the directions of the principal stresses on a properly oriented stress element relative to the x,y coordinate system. 60° 60° 60° Figure 2a

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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2a. The delta strain gauge rosette shown in Figure 2a is attached to a structural component and
measures the following strains: ɛ = 775x10°, ɛz = 415x106, ɛ̟ = -515x10°. Determine the
principal strain and principal stress components in both magnitude and direction given that the
structure has a Young's Modulus of E = 200×10° N/mm? and Poisson's ratio of v = 0.3. Show the
directions of the principal stresses on a properly oriented stress element relative to the x,y
coordinate system.
60°
60°
60°
Figure 2a
Transcribed Image Text:2a. The delta strain gauge rosette shown in Figure 2a is attached to a structural component and measures the following strains: ɛ = 775x10°, ɛz = 415x106, ɛ̟ = -515x10°. Determine the principal strain and principal stress components in both magnitude and direction given that the structure has a Young's Modulus of E = 200×10° N/mm? and Poisson's ratio of v = 0.3. Show the directions of the principal stresses on a properly oriented stress element relative to the x,y coordinate system. 60° 60° 60° Figure 2a
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