The strain components ɛ, 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 0p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 400 µɛ, ɛy = -920 µɛ, Yxy = -780 urad. Enter the angle such that -45°s0,s+45°.

Structural Analysis
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Chapter2: Loads On Structures
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The strain components ɛ, ɛy, and yxyare 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 0,p, the principal strain deformations, and the
maximum in-plane shear strain distortion in a sketch.
Ex = 400 µE, ɛ, = -920 µe, Yxy = -780 urad. Enter the angle such that -45°s0ps +45°.
Answer:
Ep1 =
1401.3
με
Ep2 =
168.7
Ymax in-plane=
prad
1401.3
Yabsolute max.
1232.6
prad
-26.84
=
Transcribed Image Text:The strain components ɛ, ɛy, and yxyare 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 0,p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 400 µE, ɛ, = -920 µe, Yxy = -780 urad. Enter the angle such that -45°s0ps +45°. Answer: Ep1 = 1401.3 με Ep2 = 168.7 Ymax in-plane= prad 1401.3 Yabsolute max. 1232.6 prad -26.84 =
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