Question
Given the matrix of the stress tensor o for uniaxial loading of a bar with rectangular cross- section, along the z- direction, 00 0
Given the matrix of the stress tensor o for uniaxial loading of a bar with rectangular cross- section, along the z- direction, 00 0 0 0 0 00 00 use matrix notation to evaluate the traction vector t = on the planes N 1. n = ez 2. n = .ex + ez a.b [o] 2 3. n = cos 0e + sin lez 4. The dot product of vectors a and b is denoted by a b. In matrix notation, it may be evaluated as = = = bz For each of the three planes given above, evaluate the corresponding normal stress on = n.tn. bx [a] [b]= [ax ay az] = axbx + ayby + Azbz
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Exploring Engineering An Introduction to Engineering and Design
Authors: Philip Kosky, George Wise, Robert Balmer, William Keat
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