The state of stress in 3-dimension is given by the following determinant, the coefficient of 2 is an invariant quantity which is equal to ________
( begin{vmatrix} sigma- sigma x & - tau yx & - tau zx - tau xy & sigma- sigma y & - tau zy - tau xz & - tau yz & sigma- sigma z end{vmatrix} )

Question

TuteeHUB · Accepted Answer

x y+ y z+ z x- xy2-  yz2-  zx2

TuteeHUB · Answer

x+ y+ z

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x y+ y z+ z x- xy2-  yz2-  zx2

TuteeHUB · Answer

x y z+2 xy yz zx- x xy2 - y yz2 - z zx2

TuteeHUB · Answer

1

1.	The state of stress in 3-dimension is given by the following determinant, the coefficient of 2 is an invariant quantity which is equal to ________ ( begin{vmatrix} sigma- sigma x & - tau yx & - tau zx - tau xy & sigma- sigma y & - tau zy - tau xz & - tau yz & sigma- sigma z end{vmatrix} )
A.	x+ y+ z
B.	x y+ y z+ z x- xy2- yz2- zx2
C.	x y z+2 xy yz zx- x xy2 - y yz2 - z zx2
D.	1
Answer» B. x y+ y z+ z x- xy2- yz2- zx2

Discussion