QB3 TWO DIMENTIONAL STRAIN Three strain gauges were arranged in the form of a rectangular rosette and positioned on a test surface. The measured strains were as follows: E1 = 200x 106 E2 = 100 x 10-6 E3 = 50 x 106 Determine a) the principal strains and the principle stresses b) the direction of the greater principal strain relative to gauge 1 and sketch the Mohr strain circle. Take the Young Modulus of Elasticity value to be E = 200 GN/m² and Poisson's ratio u = 0.28.

QB3 TWO DIMENTIONAL STRAIN Three strain gauges were arranged in the form of a rectangular rosette and positioned on a test surface. The measured strains were as follows: E1 = 200x 106 E2 = 100 x 10-6 E3 = 50 x 106 Determine a) the principal strains and the principle stresses b) the direction of the greater principal strain relative to gauge 1 and sketch the Mohr strain circle. Take the Young Modulus of Elasticity value to be E = 200 GN/m² and Poisson's ratio u = 0.28.

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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During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as follows: gage A, 520 × l0-6; gage B. 360 × l0-6; and gage C,-80 × 10-6. Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.
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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°.