Mechanics of Materials: Deflection, Stress Analysis, and Failure

Calculate beam deflections and slopes using standard formulas and the principle of superposition.

Apply stress transformation equations to determine stresses on inclined planes.

Calculate principal stresses and maximum in-plane shear stress using transformation equations or Mohr's circle.

Analyze states of combined loading involving axial, torsional, and bending stresses.

Apply failure theories (e.g., Maximum Shear Stress, von Mises) to predict material failure under combined stress.