Part A - Normal Stresses, Shear, and Angles The stress element shown in the figure below is subjected to the indicated stresses of magnitude |0₂| = 35 MPa, |oy| = 57 MPa, and Tay = 25 MPa. 0₂ TH Ox Determine the principal normal stresses ₁ and 2, the maximum in-plane shear stress Tmax,in-plane, and the angles at which they occur relative to the given stress element. Follow the sign convention. Suppose that when the element is oriented at an angle 0p1 relative to the given stress element, the normal stress that acts along the x' axis of the element is equal to the maximum normal stress σ1. When the element is oriented at an angle 0,2 relative to the given stress element, the normal stress that acts along the x' axis of the element is equal to the minimum normal stress 02. When the element is oriented at an angle 8, relative to the given stress element, the shear stress that acts on the element is equal to the maximum in-plane shear stress Tmax,in-plane and is positive according to the sign convention. Express your answers, separated by commas, to three significant figures. Express angles in the range 0 € (-180°, 180°].

Part A - Normal Stresses, Shear, and Angles The stress element shown in the figure below is subjected to the indicated stresses of magnitude |0₂| = 35 MPa, |oy| = 57 MPa, and Tay = 25 MPa. 0₂ TH Ox Determine the principal normal stresses ₁ and 2, the maximum in-plane shear stress Tmax,in-plane, and the angles at which they occur relative to the given stress element. Follow the sign convention. Suppose that when the element is oriented at an angle 0p1 relative to the given stress element, the normal stress that acts along the x' axis of the element is equal to the maximum normal stress σ1. When the element is oriented at an angle 0,2 relative to the given stress element, the normal stress that acts along the x' axis of the element is equal to the minimum normal stress 02. When the element is oriented at an angle 8, relative to the given stress element, the shear stress that acts on the element is equal to the maximum in-plane shear stress Tmax,in-plane and is positive according to the sign convention. Express your answers, separated by commas, to three significant figures. Express angles in the range 0 € (-180°, 180°].

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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