The stress element shown in the figure below is subjected to the indicated stresses of magnitude |ox| = 35 MPa, |oy| = 57 MPa, and |Txy| = 25 MPa.0₁, p1, 02, 0p2=,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. Followthe sign convention. Suppose that when the element is oriented at an angle 01 relative to the given stress element, the normal stress that acts along the x' axis of the element is equalto the maximum normal stress σ₁. When the element is oriented at an angle p2 relative to the given stress element, the normal stress that acts along the x' axis of the element isequal 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 themaximum 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)=, Tmax,in-plane =, 0sOy=.OxVE ΑΣΦ ↓↑ vec?MPa, °, MPa, °, MPa, °

Answered: Image /qna-images/answer/5971b0cd-27e8-4ae3-96a7-f4214b680663.jpg

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.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.

Question

The stress element shown in the figure below is subjected to the indicated stresses of magnitude |ox| = 35 MPa, |oy| = 57 MPa, and |Txy| = 25 MPa.
0₁, p1, 02, 0p2
=,
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 01 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 p2 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)
=, Tmax,in-plane =, 0s
Oy
=
.Ox
VE ΑΣΦ ↓↑ vec
?
MPa, °, MPa, °, MPa, °

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