The strain components for a point in a body subjected to plane strain are εx = 620 με, εy = -1030με and γxy = 320 μrad. Using Mohr’s circle, determine the principal strains (εp1 > εp2), the maximum inplane shear strain γip, and the absolute maximum shear strain γmax at the point. Show the angle θp (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 &x = 620 με, &y=-1030μe and Yxy = 320 μrad. Using Mohr'scircle, determine the principal strains (Ɛp1 > Ɛp2), the maximum inplane shear strain Yip, and the absolute maximum shear strain Ymax atthe point. Show the angle 8p (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximumin-plane shear strain distortion in a sketch.Answers:Ep1 =με.Ep2 =με.Yip =urad.Ymax =Op=0urad.

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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 for a point in a body subjected to plane strain are ε_x = 620 με, ε_y = -1030μεand γ_xy = 320 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 &x = 620 με, &y=-1030μe and Yxy = 320 μrad. Using Mohr's
circle, determine the principal strains (Ɛp1 > Ɛp2), the maximum inplane shear strain Yip, and the absolute maximum shear strain Ymax at
the point. Show the angle 8p (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximum
in-plane shear strain distortion in a sketch.
Answers:
Ep1 =
με.
Ep2 =
με.
Yip =
urad.
Ymax =
Op=
0
urad.

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