The strain components for a point in a body subjected to plane strain are &x = -890 μE, Ey = -690μe and Yxy=-682 μrad. Using Mohr's circle, determine the principal strains (Ep1 > Ep2), the maximum inplane shear strain Yip, and the absolute maximum shear strain Ymax at the point. Show the angle 8, (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Answers: Ep1 = με. Ep2 = με. Yip = urad. Ymax = 8p= 36.82 927.99 1116.0 188.01 -188.01 prad.

The strain components for a point in a body subjected to plane strain are &x = -890 μE, Ey = -690μe and Yxy=-682 μrad. Using Mohr's circle, determine the principal strains (Ep1 > Ep2), the maximum inplane shear strain Yip, and the absolute maximum shear strain Ymax at the point. Show the angle 8, (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Answers: Ep1 = με. Ep2 = με. Yip = urad. Ymax = 8p= 36.82 927.99 1116.0 188.01 -188.01 prad.

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 7.7.19P: During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as...

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Question

Your answer is partially correct.
The strain components for a point in a body subjected to plane strain are ɛ, = -890 µɛ, ɛ, = -690µɛ and yy = -682 prad. Using Mohr's
circle, determine the principal strains (ɛp1 > Ep2), the maximum inplane shear strain yip, and the absolute maximum shear strain ymax at
the point. Show the angle 0, (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximum
in-plane shear strain distortion in a sketch.
Answers:
Ep1 =
927.99
με.
Ep2 =
1116.0
PE.
Vip =
188.01
prad.
Ymax =
-188.01
prad.
Op = 36.82

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