CE621A - Engineering Mechanics

Stress analysis: forces and moments, theory of stress, principal stresses and stress invariants, compatibility equations, equilibrium equations; Strain: deformation and velocity gradients, Lagrangian and Eulerian description and finite strain, small deformation theory, principal strains and strain invariants, compatibility conditions; Fundamental physical principles: conservation of mass, linear momentum, angular momentum, and energy, second law of thermodynamics; Constitutive theory: St. Venants principal, linear elasticity and generalized Hooks law, Stokesian and Newtonian fluids, Navier Stokes equations, Bernoulli equation, linear visco elasticity, yield criteria; Applications: Airy stress function, two dimensional elastostatics problems, torsion.