(d) The coordinate transformation matrix (Q) that transforms the small strain tensor (Small) into a diagonal...

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(d) The coordinate transformation matrix (Q) that transforms the small strain tensor (Small) into a diagonal tensor (small) and the diagonal strain tensor (Small). 4 Small Question 4 - Multiaxial Strain Measures A cube undergoes a deformation such that the small strain is described by: 0.002 0.011 0.011 -0.007 0 0 ESmall Determine: (a) The principal strains () and their corresponding directions (d;). The smallest principal strain (1), and its associated direction (d]): EI EII The middle principal strain (I), and its associated direction (de): = EIII 0.00] 0. ESmall,a dI = The largest principal strain (III), and its associated direction (de111): a,b = d II = (b) The longitudinal strain along the direction of vector a = = {1,1,1}. de III (c) The approximate change in the angle between the vectors a = {1, 1, 1} and b = {1,1,1}. (d) The coordinate transformation matrix (Q) that transforms the small strain tensor (Small) into a diagonal tensor (small) and the diagonal strain tensor (Small). 4 Small Question 4 - Multiaxial Strain Measures A cube undergoes a deformation such that the small strain is described by: 0.002 0.011 0.011 -0.007 0 0 ESmall Determine: (a) The principal strains () and their corresponding directions (d;). The smallest principal strain (1), and its associated direction (d]): EI EII The middle principal strain (I), and its associated direction (de): = EIII 0.00] 0. ESmall,a dI = The largest principal strain (III), and its associated direction (de111): a,b = d II = (b) The longitudinal strain along the direction of vector a = = {1,1,1}. de III (c) The approximate change in the angle between the vectors a = {1, 1, 1} and b = {1,1,1}.