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Hello im reviewing my notes and im confused as to how s and n were able to come up with the equation. Please help.    n=(cos30,sin30,0) s=(-cos60,sin60,0)   Please explain,thank you

Hello im reviewing my notes and im confused as to how s and n were able to come up with the equation. Please help.    n=(cos30,sin30,0) s=(-cos60,sin60,0)   Please explain,thank you

Elements Of Electromagnetics
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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Hello im reviewing my notes and im confused as to how s and n were able to come up with the equation. Please help.   

n=(cos30,sin30,0)

s=(-cos60,sin60,0)

 

Please explain,thank you

 

 

 

 

Determine the values of the normal and shear stresses. The traction vector is The unit normal to the surface is The normal stress is then MEng149.003 t Example 3 (cont...) n T= 8.66i MPa o = T n = (8.66, 0, 0) (cos 30°, sin 30°,0) = 7.5 MPa The shear stress is then, S n = (cos 30°, sin 30°, 0) Stress Transformation Combined, Variable Stress n S The unit vector parallel to the surface is S = (- cos 60°, sin 60°, 0) 18 October 2022 T = T.S T= (8.66, 0, 0) (- cos 60°, sin 60°, 0) -4.33 MPa 23
Transcribed Image Text:Determine the values of the normal and shear stresses. The traction vector is The unit normal to the surface is The normal stress is then MEng149.003 t Example 3 (cont...) n T= 8.66i MPa o = T n = (8.66, 0, 0) (cos 30°, sin 30°,0) = 7.5 MPa The shear stress is then, S n = (cos 30°, sin 30°, 0) Stress Transformation Combined, Variable Stress n S The unit vector parallel to the surface is S = (- cos 60°, sin 60°, 0) 18 October 2022 T = T.S T= (8.66, 0, 0) (- cos 60°, sin 60°, 0) -4.33 MPa 23
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