Answered: The strain components for a point in a…

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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Question

The strain components for a point in a body subjected to plane strain are ε_x = -940 με, ε_y = -450μεand γ_xy = 865 μrad. Using Mohr’s circle, determine the principal strains (ε_p₁ > ε_p₂), the maximum inplane shear strain γ_ip, and the absolute maximum shear strain γ_max at the point. Show the angle θ_p (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch.

The strain components for a point in a body subjected to plane strain are ɛx = -940 µɛ, ɛy = -450µe and yxy = 865 µrad. Using Mohr's
circle, determine the principal strains (ɛp1 > Ep2), the maximum inplane shear strain yip, and the absolute maximum shear strain ymax at
the point. Show the angle 0, (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximum
in-plane shear strain distortion in a sketch.
HE,
%3D
Answers:
Ep1=
με.
%3D
Ep2 =
HE.
Vip =
prad.
%3D
Ymax
prad.
Op =

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