ES 209 - Mechanics of Materials

1. determine tensile and compressive stress and strain in axially loaded members and structures;
   1. draw free body diagrams;
   2. understand stress-strain diagrams and related terminology;
   3. understand and use formulas to compute forces, normal stress and strain, and shear stress and strain. Calculate stress, and strain;
   4. analyze thermal effects on stress and strain; and
   5. analyze indeterminate structures using compatibility conditions.
2. analyze members subjected to torsion;
   1. determine torsional deformation in a circular bar;
   2. calculate power transmission; and
   3. calculate strain energy in torsion and pure shear.
3. analyze shear force and bending moments in beams;
   1. determine reactions at supports and shear force and moment along the beam;
   2. graph shear force and moment diagrams;
   3. determine the curvature of a beam, neutral axis, and moment of inertia; and
   4. calculate normal stress and shear stress in beams subjected to bending moment.
4. analyze stress and strain;
   1. compute principal stresses, maximum shear stresses; and
   2. draw and interpret Mohr’s circle for plane stress and strain.
5. calculate stresses in spherical and cylindrical pressure vessels;
6. determine the deflection of a beam under concentrated loads and distributed loads; and
   1. obtain beam deflection by integration of the bending-moment equation;
   2. obtain beam deflection by integration of the shear-force and load equations; and
   3. obtain beam deflection by the method of superposition, moment-area method, and the application of Castigliano’s Theorem.
7. determine the critical buckling loads for columns under various types of supports.