he stress element shown in the figure below is subjected to the indicated stresses of magnitude || = 35 MPa, |oy| = 57 MPa, and Tay = 25 MPa. -σ1 =, 0pl =, 02 =, etermine the principal normal stresses ₁ 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 e 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 equa the maximum normal stress σ₁. 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 qual 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 aximum in-plane shear stress Tmax,in-plane and is positive according to the sign convention.
he stress element shown in the figure below is subjected to the indicated stresses of magnitude || = 35 MPa, |oy| = 57 MPa, and Tay = 25 MPa. -σ1 =, 0pl =, 02 =, etermine the principal normal stresses ₁ 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 e 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 equa the maximum normal stress σ₁. 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 qual 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 aximum in-plane shear stress Tmax,in-plane and is positive according to the sign convention.
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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