The strain components for a point in a body subjected to plane strain are εx = 530 με, εy = 810με and γxy = -956 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 = 530 μe, &y=810μe and Yxy = -956 urad. Using Mohr'scircle, determine the principal strains (Ep1 > Ep2), the maximum inplane shear strain Yip, and the absolute maximum shear strain ymax atthe point. Show the angle 8, (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximumin-plane shear strain distortion in a sketch.Answers:Ep1 =Ep2 =Yip =Vmax =Op=0με.με.urad.urad.

From the given question it is required to determine the principal strains (εp1 > εp2), the…

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Structural Analysis

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ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

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Problem 1P

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The strain components for a point in a body subjected to plane strain are ε_x = 530 με, ε_y = 810μεand γ_xy = -956 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 = 530 μe, &y=810μe and Yxy = -956 urad. Using Mohr's
circle, determine the principal strains (Ep1 > Ep2), the maximum inplane shear strain Yip, and the absolute maximum shear strain ymax at
the point. Show the angle 8, (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximum
in-plane shear strain distortion in a sketch.
Answers:
Ep1 =
Ep2 =
Yip =
Vmax =
Op=
0
με.
με.
urad.
urad.

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