The stress element shown in the figure below is subjected to the indicated stresses of magnitude |o₂| = 35 MPa, |oy| = 57 MPa, and Tay = 25 MPa. Oy 01, p1, 02, 0p2 =, Tmax,in-plane =, 0,= tw Determine the principal normal stresses 01 and 02, 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 Op1 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 ₁. When the element is oriented at an angle 0p2 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 0, 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°]. ► View Available Hint(s) Avec Ox ? MPa, °, MPa, °, MPa,
The stress element shown in the figure below is subjected to the indicated stresses of magnitude |o₂| = 35 MPa, |oy| = 57 MPa, and Tay = 25 MPa. Oy 01, p1, 02, 0p2 =, Tmax,in-plane =, 0,= tw Determine the principal normal stresses 01 and 02, 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 Op1 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 ₁. When the element is oriented at an angle 0p2 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 0, 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°]. ► View Available Hint(s) Avec Ox ? MPa, °, MPa, °, MPa,
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 7.7.7P: A thin square plate in biaxial stress is subjected to stresses ?? and ??., as shown in part a of the...
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Hi please help with this question thank you I just can't seem to work it out even with the given formulas. Thanks!
also, I have tried these but they seem to be incorrect, or maybe parts of the calculation may be incorrect since when I submit these all together and I can't really work out where I am going wrong:
sigma 1 = 73.31 MPa
theta 1 = 56.87 degrees
sigma 2 = 18.68 MPa
theta 2 = 146.875 degrees
Tmax in plane = 27.315 MPa
theta s = 101.87 degrees
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