The strain components ɛx, ɛy, 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 µrad. Enter the angle such that -45°s0,s+45°. %3D Answer: Ep1 = Ep2 = Ymax in-plane prad Yabsolute max. = prad

Structural Analysis
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Chapter2: Loads On Structures
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The strain components ɛx, 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 0p, the
principal strain deformations, and the maximum in-plane shear strain distortion in a sketch.
Ex = 400 µɛ, ɛy = -920 µɛ, Yxy = -780 prad. Enter the angle such that -45°<0p< +45°.
Answer:
Ep1 =
με
Ep2 =
με
Ymax in-plane
prad
Yabsolute max.
prad
%3D
Op =
Transcribed Image Text:The strain components ɛx, 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 0p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 400 µɛ, ɛy = -920 µɛ, Yxy = -780 prad. Enter the angle such that -45°<0p< +45°. Answer: Ep1 = με Ep2 = με Ymax in-plane prad Yabsolute max. prad %3D Op =
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