The strain components & & and Yxy are given for a point in a body subjected to plane strain. Determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle Op, the principal strain deformations, and the maximum in-plane shear strain distortion on a sketch. Ex = -450 με, &y=-320 μe, and Yxy = 850 μrad. Enter the angle such that -45°≤0ps +45°

Structural Analysis
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Chapter2: Loads On Structures
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The strain components & & and Yxy are given for a point in a body subjected to plane strain. Determine the principal strains, the
maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle Op, the principal strain
deformations, and the maximum in-plane shear strain distortion on a sketch. Ex = -450 με, &y=-320 μe, and Yxy = 850 µrad. Enter the
angle such that -45°50ps +45°
Answer:
Ep1 =
με
Ep2 =
με
Ymax in-plane
Yabsolute max.
8p=
=
urad
prad
Transcribed Image Text:The strain components & & and Yxy are given for a point in a body subjected to plane strain. Determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle Op, the principal strain deformations, and the maximum in-plane shear strain distortion on a sketch. Ex = -450 με, &y=-320 μe, and Yxy = 850 µrad. Enter the angle such that -45°50ps +45° Answer: Ep1 = με Ep2 = με Ymax in-plane Yabsolute max. 8p= = urad prad
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