The strain components Ex, Ey, 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 = -650 UE, Ey = -345 UE, and Yxy = 1050 urad. Enter the angle such that -45°≤0p≤ +45°. The strain components Ex, &y, and Yxy are given for a point in a body subjected to plane strain. Determine theprincipal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Showthe angle 0p, the principal strain deformations, and the maximum in-plane shear strain distortion on a sketch. Ex= -650 με, εγ= -345 μc, and Yxy = 1050 μrad. Enter the angle such that -45°<0p≤ +45°.Answer:Ep1 =μεμεEp2 =Ymax in-planeYabsolute max.0p ===Ouradurad

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Answered: Determine the principal strains, the…

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 Ex, Ey, 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 = -650 UE, Ey = -345 UE, and Yxy = 1050 urad. Enter the angle such that -45°≤0p≤ +45°.

The strain components Ex, &y, 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 0p, the principal strain deformations, and the maximum in-plane shear strain distortion on a sketch. Ex
= -650 με, εγ
= -345 μc, and Yxy = 1050 μrad. Enter the angle such that -45°<0p≤ +45°.
Answer:
Ep1 =
με
με
Ep2 =
Ymax in-plane
Yabsolute max.
0p =
=
=
O
urad
urad

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