The strain components Ex, Ey, and Yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine theprincipal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0p, theprincipal strain deformations, and the maximum in-plane shear strain distortion in a sketch.Ex = 0 μE, Ey = 310 με, Yxy = 280 μrad. Enter the angle such that -45° ≤ 0,≤ +45°Answer:Ep1 =Ep2 =Ymax in-plane =Yabsolute max. =0p=μεμεuradurad

To find: The principle strain, the maximum in plane shear strain, absolute maximum shear strain at…

The strain components Ex, Ey, and Yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 8p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 0 με, Ey = 310 μE, Yxy = 280 μrad. Enter the angle such that -45° ≤0p ≤ +45°. Answer: Ep1 = Ep2 = Ymax in-plane Yabsolute max. 8p = = με με urad urad

The strain components Ex, Ey, and Yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 8p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 0 με, Ey = 310 μE, Yxy = 280 μrad. Enter the angle such that -45° ≤0p ≤ +45°. Answer: Ep1 = Ep2 = Ymax in-plane Yabsolute max. 8p = = με με urad urad

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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During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as follows: gage A, 520 × l0-6; gage B. 360 × l0-6; and gage C,-80 × 10-6. Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.
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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