This course applies fundamental mechanics concepts to design engineering problems for a range of structures, mechanisms, and machine elements, and explores the ideas of design evaluation and analysis through mechanics.Topics include:3D kinematics: rotation around a fixed axis, instantaneous axis, velocities, acceleration, moving reference frames, twists and wrenches. Stress analysis: Buckling, slender ratio, fatigue, safety factors, stress states, 3D stress elements, stress matrices, plane stress, stress transformations, special cases of plane stress, strain transformation, Failure criteria, Von Mises Criteria, Tresca Yield Criterion, Maximum Normal Stress Theory. Dynamics: Principle of virtual work, d’Alambert principle, Hamilton’s principle, Newton-Euler equation, Euler-Lagrange equation, Kane’s equation.