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 =

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The strain components ɛx, Ey, 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 0p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 0 HE, ɛy = 380 µɛ, Yxy = 230 µrad. Enter the angle such that -45° s 0,s+45°. Answer: Ep1 = με Ep2 = με Ymax in-plane = prad Yabsolute max. = prad 0, =
The strain components ɛ, Ey, 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 0p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 0 µE, ɛ, = 320 µɛ, Vxy = 240 µrad. Enter the angle suen that -45° s 0,s+45°.
The strain components ɛ Ey, and ywyare 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 µE, Ɛy = 330 µɛ, Yxy = 270 prad. Enter the angle such that -45° <0,s+45°. Answer: Ep1 = Ep2 = Ymax in-plane prad Yabsolute max. prad
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A material is subjected to the following strain system,ex=200x10-6, ey=-56x10-6,yxy=230x10-6. Using graphical method, determine A. The principal strains B. The directions of principal strain axes C. The linear strain on an axis inclined at 50o counter clockwise to the direction of ex Given that young's modulus for the material is 207GN/m2 and the poisson's ratio is 0.27, determine the principal stresses
The strain components sy Sy, 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, principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex =360 uɛ, ɛ, = -640 uɛ, Yxy = -790 urad. Enter the angle such that -45°se,s+45°. the Answer: Ep1= Ep2 = Ymax in-plane = prad Yabsolute max. prad %3D %3D
The strain components Ex, Ey, 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 0p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 0 μE, Ey = 310 με, Yxy = 280 μrad. Enter the angle such that -45° ≤ 0,≤ +45° Answer: Ep1 = Ep2 = Ymax in-plane = Yabsolute max. = 0p = με με urad urad
Q4 A three strain gages have been attached directly to a piston used to raise a medical chair, the strain gages give strains as Ea = 80 µ , Eb = 60 µ and Ec = 20 u . Determine the principal strains and the principal strain directions for the given set of strains. And Compute the strain in a direction -30° (clockwise) with the x axis. 45 Pump
The strain components E, Ey, and yyare 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 = 440 µE, ɛ, = -810 µE, Vxy = -540 µrad. Enter the angle such that -45°s0,s +45°. Answer: Ep1 = Ep2 = Ymax in-plane prad Yabsolute max. prad 0, =
Q4 A three strain gages have been attached directly to a piston used to raise a medical chair, the strain gages give strains as ɛa = 80 µ , Ep = 60 µ and Ec = 20 µ . Determine the principal strains and the principal strain directions for the given set of strains. And Compute the strain in a direction -30° (clockwise) with the x axis. a,x A c.y Pump
For the given state of plane strain, use Mohr's circle to determine the state of plane strain associated with axes x' and y rotated through the given angle 0. Ex = 0, Ɛy= +320µ, Yxy=-100µ, 0 = 25° (Round the final answers to one decimal place.) X The strains are Ex' = Ey'= Yx'y'=|
1.40 Given a major principal strain of 600µ and strain invariants I, = 400µ and I, = - 4800µ, find the remaining principal strains. Find, in magnitude and direction, the octahedral normal and shear strains. Answer: (1u = 1 x 10 ) 200p.- 400u. 133µ, 822u