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 = 310 με, εy = -530 με, γxy = -820 μrad. Enter the angle such that -45°≤θp≤ +45°. The strain components ɛx, ɛy, and yyare 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 0,, theprincipal strain deformations, and the maximum in-plane shear strain distortion in a sketch.Ex = 310 µɛ, ɛ, = -530 µɛ, Yxy = -820 prad. Enter the angle such that -45°<0„s+45°.Answer:Ep1 =μεEp2 =Ymax in-planepradYabsolute max. =prad

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Answered: The strain components €, Ey, and yy are…

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 = 310 με, ε_y = -530 με, γ_xy = -820 μrad. Enter the angle such that -45°≤θ_p≤ +45°.

The strain components ɛx, ɛy, and yyare 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,, the
principal strain deformations, and the maximum in-plane shear strain distortion in a sketch.
Ex = 310 µɛ, ɛ, = -530 µɛ, Yxy = -820 prad. Enter the angle such that -45°<0„s+45°.
Answer:
Ep1 =
με
Ep2 =
Ymax in-plane
prad
Yabsolute max. =
prad

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