The strain components E, Ey, and y are given for a point in a body subjected to plane strain. Using Mohr's circle, determine theprincipal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle Op, theprincipal strain deformations, and the maximum in-plane shear strain distortion in a sketch.Ex = 0 µɛ, ɛ, = 340 µe, Vxy = 300 urad. Enter the angle such that -45° < 6,s +45°.Answer:Ep1 =μεEp2 =Ymax in-planepradYabsolute max.pradOp =

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The strain components Ex, Ey, and Yxyare given for a point in a body subjected to plane strain. Using Mohr's circle, 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 in a sketch. Ex = 0 µɛ, ɛy = 340 µE, Vxy = 300 µrad. Enter the angle such that -45° s0, s +45°. Answer: Ep1 - με Ep2 = Ymax in-plane prad Yabsolute max. prad

The strain components Ex, Ey, and Yxyare given for a point in a body subjected to plane strain. Using Mohr's circle, 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 in a sketch. Ex = 0 µɛ, ɛy = 340 µE, Vxy = 300 µrad. Enter the angle such that -45° s0, s +45°. Answer: Ep1 - με Ep2 = Ymax in-plane prad Yabsolute max. prad

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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Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 11 ksi in size.(a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element.(b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16).
The strain components ɛx, ɛy, and Yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0,, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 0 µɛ, ɛy = 330 µɛ, Yxy = 210 µrad. Enter the angle such that -45° < 0,<+45°. Answer: Ep1 = Ep2 = με Ymax in-plane = prad Yabsolute max. = prad
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The strain components Ex, y, and Yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 8p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 490 μE, Ey = -750 µE, Yxy = -610 μrad. Enter the angle such that -45°<0p<+45° Answer: Ep1 = με Ep2 = με Ymax in-plane Yabsolute max. 0p= urad urad
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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.