Consider a unidirectional composite lamina where the fibers are aligned at 60° from the x-axis as shown in the figure. If the thickness of the composite lamina is small compared to the in- plane dimensions, it is appropriate to assume that a state of plane stress exists in the lamina. The stress components at point a in the x-y coordinate system are shown in the figure. Determine the principal stresses and principal planes at point a, and indicate on a sketch the orientation of the principal planes which respect to the principal material directions. 20 MPa YA 10 MPa 50 MPa

Consider a unidirectional composite lamina where the fibers are aligned at 60° from the x-axis as shown in the figure. If the thickness of the composite lamina is small compared to the in- plane dimensions, it is appropriate to assume that a state of plane stress exists in the lamina. The stress components at point a in the x-y coordinate system are shown in the figure. Determine the principal stresses and principal planes at point a, and indicate on a sketch the orientation of the principal planes which respect to the principal material directions. 20 MPa YA 10 MPa 50 MPa

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

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Consider a unidirectional composite lamina where the fibers are aligned at 60° from the x-axis
as shown in the figure. If the thickness of the composite lamina is small compared to the in-
plane dimensions, it is appropriate to assume that a state of plane stress exists in the lamina.
The stress components at point a in the x- y coordinate system are shown in the figure.
Determine the principal stresses and principal planes at point a, and indicate on a
sketch the orientation of the principal planes which respect to the principal material
directions.
20 MPа
YA
10 MPa
50 MPa

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