1. Consider the below deformation gradient tensor. 0.9 I] 0 f = I [t 1 D] [II I] 1 a. Sketch how a 1" x 1" x 1" cube of material would deform due to this I. b. Sketch how a 10" x 4" x 2" rectangular prism would deform due to this f. c. Compute the associated linear strain tensor. d Assuming isotropic linear elasticity, compute the associated stress tensor for A-36 steel [in ksi] for 11'1\" = 0F. Compute the three principal stresses (eigenvalues) and three principal directions (eigenvectors) of the stress tensor. Express this stress tensor in terms of a coordinate system that is rotated 45 about the z-axis. Compute the von Mises stress and the factor of safety. Draw an FBD showing the resultant forces acting on 1" x 1" x 1" cube of A36 steel. Draw an FBD showing the resultant forces acting on 10" x 5" x 2" cube of A36 steel. Reeompute the stress tensor and the factor of safety for a hypothetical material that has the same E and Yas A66 steel, but a Poisson's ratio of 0.49. F\" F'r-'Frtre 2+