Mathematics, 18.02.2020 18:44 ddddre4460
The stress matrix T referred to xyz-axes is shown below at the left (in kpsi). New x2-axes are chosen by rotating the axes as shown at the right. γ50 37.5 0 T= | 37.5-25-50 γΌ50 25 3 5 γ (a) Determine the traction vectors on each of the new coordinate pla of components referred to the old axes. For example, determine t^z form t^z=( )i+( )j + ( )k. (b) Now project each of the vectors obtained in (a) onto the three new coordinate axes, and verify that the nine new components thus obtained for the stress matrix T are the same as those given by the formulas for transformation of a second-order tensor under rotation of axes.
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The stress matrix T referred to xyz-axes is shown below at the left (in kpsi). New x2-axes are chose...
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