The strain components ɛ, Ey, and yy 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 absolutemaximum shear strain at the point. Show the angle 6, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 500 µE, ɛ, = -550 µE, Yxy =-840 urad. Enter the angle such that -45°58,5 +45°. Answer: Ep1= Ep2= Ymax in-plane= prad Yabsolute max. prad O, =

The strain components ɛ, Ey, and yy 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 absolutemaximum shear strain at the point. Show the angle 6, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 500 µE, ɛ, = -550 µE, Yxy =-840 urad. Enter the angle such that -45°58,5 +45°. Answer: Ep1= Ep2= Ymax in-plane= prad Yabsolute max. prad O, =

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 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 Op, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex=0 μE, Ey-370 μE, Yxy - 260 prad. Enter the angle such that -45° ≤0,≤ +45° = Answer: Ep1 = Ep2 = Ymax in-plane Yabsolute max. 0p= = με με O urad urad
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The strain components E, 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 6p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 390 µE, ɛ, = -630 µɛ, Yxy = -760 prad. Enter the angle such that -45°<6,5 +45°. Answer: Ep1= Ep2 = με Ymax in-plane prad Yabsolute max. = prad 6p =
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The strain components Ex, Ey, and y,yare 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 = 400 µɛ, Yxy = 220 µrad. Enter the angle such that -45° s0,s+45°. Answer: Ep1 = με Ep2 = με Ymax in-plane= prad Yabsolute max. prad 0, =
The strain components e, E, and yy 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 = 390 µe, ɛ, = -630 pe, Vxy = -760 prad. Enter the angle such that -45°s0,s +45°. Answer: Ep1 = Ep2 = Ymax in-plane prad Yabsolute max. prad 0p =