The strain components ɛx, ɛy, and yxy are given for a point in abody subjected to plane strain. Using Mohr's circle, determinethe principal strains, the maximum in-plane shear strain, and theabsolute maximum shear strain at the point. Show the angle 0p,the principal strain deformations, and the maximum in-planeshear strain distortion in a sketch.Ex = 0 µɛ, ɛy = 380 µɛ, Yxy = 250 prad. Enter the angle such that-45° < 0,s +45.Answer:Ep1 =μεEp2 =μεYmax in-planepradYabsolute max.prad%3D0p =

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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 Op, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 0 µɛ, ɛy = 380 µɛ, Yxy = 250 µrad. Enter the angle such that -45° s0,s+45°. %3D Answer: Ep1 = με Ep2 = Ymax in-plane prad %3D Yabsolute max. prad Op =

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 Op, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 0 µɛ, ɛy = 380 µɛ, Yxy = 250 µrad. Enter the angle such that -45° s0,s+45°. %3D Answer: Ep1 = με Ep2 = Ymax in-plane prad %3D Yabsolute max. prad Op =

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.7.19P: During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as...

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The strain components εx, εy, and γxy 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 θp, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch.εx = 0 με, εy = 310 με, γxy = 280 μrad. Enter the angle such that -45° ≤ θp ≤ +45°.
The strain components e x, e y, and γ xy 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 θ p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex Ey Yxy −1,570 με -430με -950 μrad
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 = -600 με, εy = -265 με, and γxy = 1000 μrad. Enter the angle such that -45°≤θp≤ +45°.
The strain components εx, εy, and γxy 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 θp, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. εx = 350 με, εy = -540 με, γxy = -890 μrad. Enter the angle such that -45°≤θp≤ +45°.
The strain components for a point in a body subjected to plane strain are εx = -270 με, εy = 730με and γxy = -799 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.
QB3 TWO DIMENTIONAL STRAINThree strain gauges were arranged in the form of a rectangular rosette and positioned on atest surface. The measured strains were as follows: 1 = 200x 10-6 2 = 100 x 10-6 3 = 50 x 10-6Determinea) the principal strains and the principle stressesb) the direction of the greater principal strain relative to gauge 1 and sketch the Mohrstrain circle. Take the Young Modulus of Elasticity value to be E = 200 GN/m2 andPoisson’s ratio  = 0.28.
The state of strain on an element has components Px = -300(10-6), Py = 100(10-6), gxy = 150(10-6). Determine the equivalent state of strain, which represents (a) the principal strains, and (b) the maximum in-plane shear strainand the associated average normal strain. Specify the orientation of the corresponding elements for these states of strain with respect to the original element
The 60° strain rosette is mounted on the surface of the bracket. The following readings are obtained for each gage: Pa = -780(10-6), Pb = 400(10-6), and Pc = 500(10-6). Determine (a) the principal strains and (b) the maximumin-plane shear strain and associated average normal strain. In each case show the deformed element due to these strains.
Material A has a modulus of elasticity between Materials B and C, where the value of Material B is the highest and Material D is the lowest. Materials A and B do not undergo plastic deformation with the same strain value. Material B has the same strength as Material C, but higher than Material A. The strength of Material A is the same as that of Material D. Materials C and D experience the same strain with considerable plastic deformation. a. Draw the stress strain curves of the 4 Materials in one axisb. If you are asked to select a material according to the following criteria (state and explain why): i. Highest toughness: ii. Highest stiffness Supreme power iv. Highest tenacity If an application requires a material with low stiffness and high ductility, which material will you choose? NEED IN RUSH THANKS
The state of strain at the point on the bracket has components Px = 350(10-6), Py = -860(10-6),gxy = 250(10-6). Use the strain transformation equations to determine the equivalent in-plane strains on an element oriented at an angle of u = 45° clockwise from the original position. Sketch the deformed element within the x–y plane due to these strains.
The plate distorts as shown by the dashed lines. The dimensions are L= 410 mmmm, H= 320 mm, d1= 3 mm, d2= 5 mm, d3= 12 mm, d4= 9 mm, d5= 3 mm, and d6= 7 mm. A) Determine the shear strain γxy at corner C. B) Determine the shear strain γxy at corner D.
A differential element is subjected to plane strain that has the following components; Px = 950(10-6), Py = 420(10-6), gxy = -325(10-6). Use the strain transformation equations and determine (a) the principal strains and (b) the maximum in-plane shear strain and the associated average strain. In each case specify the orientation of the element and show how the strains deform the element.