ES 209 - Mechanics of Materials

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