Stress-strain analysis: Stress: Definition and notation for stress; transformation of stress; principal stresses, Strain: Definition and notation for strain; transformation of strain; principal strains,Stress-strain relations for linear elastic materials: Generalized Hooke’s Law, Design criteria, Maximum principal stress theory, Maximum shear stress theory, Maximum distortion energy theory, Truss finite element, 1-D, 2-D, 3-d truss element, Beam finite element, Total potential energy, Finite element approximation, Principle of minimum total potential energy, Calculation of element moments, shear forces and stresses, Finite element analysis using I-DEAS, Two-dimensional elasticity, Constant strain triangular element, Four node rectangular element, Four node iso-parametric quadrilateral element, Design optimization, Optimality condition, Convex problem, Numerical method