Cognitive (Knowledge, Understanding, Application, Analysis, Evaluation, Synthesis) 1. Develop expressions for the stress and strain tensor and given the stress or strain tensor be able to calculate the 3 principal values and their direction cosines, evaluate the state of stress on the octahedral plane and transform the state of stress to different planes. Demonstrate that there are 3 principal stresses, strains and principal extension ratios. 2. Derive expressions for large strains and large rotations, large strains with small rotations and small strains with large rotations. 3. Evaluate the engineering strain and shearing strain in the ith direction and apply the resulting equations to 3D strain rosettes. 4. Define the equations of equilibrium of stress and compatibility strain and stress and evaluate stress functions for analysis of the following problems: a) beam stresses using polynomials; b) stresses due to concentrated loads; c) stresses in wedges; d) stresses due to uniformly distributed loads; e) stresses due to sliding loads; f) torsion in cylindrical, elliptical, triangular and square shafts; g) finite differences applied to torsion of square, rectangular and hexagonal shafts. To estimate the deformation of some of the above and relate it to holographic interferometry. 5. Define expressions for the constants C1 and C2 for the strain energy density functions Mooney-Rivlin and GentThomas for tensile, bi-axial and strip-bi-axial tests and be able to calculate the constants from these tests. Describe the application of the above in relation to geometric Moire and Hertzian theory. 6. Combine FEA, photoelastic coating and strain gauge data to evaluate stresses. Affective (Attitudes and Values) 7. To report lab results that combine FEA, photoelastic and strain gauge data. Psychomotor (Physical Skills) 8. To fix strain gauges to products and test them under load. 9 To measure data from photoelastic coatings on products under load.