4 note that the tracon vector can be expressed as a

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Unformatted text preview: ) = T · n The matrix form for the stress tensor is 0 2 [T ] = @1 3 1 1 2 2 3 2A 1 Thus the components of the trac)on vector are: t (n) = T · n Thus 0 2 [email protected] 1 [t (n ) ] = [T ][t (n ) ] = 3 3 t (n ) = ( 2/3)e 1 + 3e 2 10 1 3 1 2 2A @ 2 A = @ 9 A 1 2 3 1 2 2 e3 1 0 SoluNon: State of Stress in a Fluid Cont. The normal component of the trac)on ector is v tN = t (n ) · n = T : n n tN = ( 2/3)(1/3) + 3(2/3) + (2/3) = 22/9 ⇡ 2.4 Note that the trac)on vector can be express...
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