Stress and strain, linear elastic constitutive response, axial loading, torsion, beam bending and deflection, and combined loading. The text is Hibbeler.
The course takes one theory at a time — the bar, torsion, Euler–Bernoulli bending — each carried from its kinematic assumption through to its stress distribution, and only then superposed. The closing lectures put all of them on a single cross-section: a shaft under transverse loads and torque, where the student has to find the critical section, choose the worst point on it, assemble the full stress matrix there and reduce it to principal stresses.
The emphasis is on formulation. A student who can state what is assumed, which equilibrium and compatibility conditions apply and what the boundary conditions mean has done the part of the problem that transfers; the algebra that follows is the part a computer can check.
The take-home final project is that argument in one piece of work: a stepped rod under combined axial force and applied torques, a cantilever deflection integrated from the Euler–Bernoulli equation, and a bearing-supported shaft carried from the static reactions through to principal stresses and maximum shear.