The strain components εx, εy, and γxy 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 θp, the principal strain deformations, and the maximum in-plane shear strain distortion on a sketch. εx = -650 με, εy = -345 με, and γxy = 1050 μrad. Enter the angle such that -45°≤θp≤ +45°. The strain components &x, Ey, 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, &y=-345 μe, and Yxy = 1050 urad. Enter the angle such that -45°<0ps +45°Answer:Ep1 =Ep2 =Ymax in-plane=Yabsolute max.0p ==Oμεμεuradurad

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Answered: strain components εx, εy, and γxy 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 εx, εy, and γxy 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 θp, the principal strain deformations, and the maximum in-plane shear strain distortion on a sketch. εx = -650 με, εy = -345 με, and γxy = 1050 μrad. Enter the angle such that -45°≤θp≤ +45°.

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

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