The strain components εx, εy, and γxy 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 θp, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch.εx = 360 με, εy = -1000 με, γxy = -630 μrad. Enter the angle such that -45°≤θp≤ +45°. The strain components ɛx, Ɛy, and y,xy 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 = 360 µɛ, ɛy = -1000 µɛ, Yxy = -630 µrad. Enter the angle such that -45°<0,s +45°.Answer:Ep1 =Ep2 =Ymax in-planepradYabsolute max.prad%3D

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Answered: The strain components εx, εy, and γxy…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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The strain components ε_x, ε_y, and γ_xyare 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 θ_p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch.
ε_x = 360 με, ε_y = -1000 με, γ_xy = -630 μrad. Enter the angle such that -45°≤θ_p≤ +45°.

The strain components ɛx, Ɛy, and y,xy 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 = 360 µɛ, ɛy = -1000 µɛ, Yxy = -630 µrad. Enter the angle such that -45°<0,s +45°.
Answer:
Ep1 =
Ep2 =
Ymax in-plane
prad
Yabsolute max.
prad
%3D

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