Topic 1 (~4 hours): Theoretical Foundation
The student will develop an understanding of stress, axial loading, torsion, beam bending, pressure in thin-walled cylinders and spheres, stress/strain transformations, and failure theories.
Topic 2 (~5 hours): Axial and Transverse Loading
The student will learn to employ Large Deflection Beam Theory to address cantilever beam problems associated with axial loading and transverse loading.
Topic 3 (~4 hours): Elasticity Equations
The student will learn to understand and use elasticity equations for torsion problems, including non-circular cross sections, elliptical cross sections, and shafts of variable diameter.
Topic 4 (~6 hours): Elasticity, Stress, and Strain
The student will develop an understanding of plane stress, plane strain, and the 2-D and 3-D equations of elasticity.
Topic 5 (~8 hours): End Loads and Uniform Loads
The student will learn how analyze 2-D problems in rectangular coordinates (polynomial solutions) for a cantilever beam with end load, or a simply supported beam with a uniform load.
Topic 6 (~5 hours): Beam Deflections
The student will learn how to solve for deflection of beams with the Double Integration Method as well as the Moment-Area Method.
Topic 7 (~4 hours): Polar Coordinates
The student will learn how to solve 2-D problems in polar coordinates that deal with the elasticity equations, thick-walled pressure vessels, plates with a hole, stress concentrations, point loads on a half-space, point loads on a wedge (non-prismatic beams), and curved-beam bending.
Topic 8 (~4 hours): Failure Modes in Columns
The student will learn how to analyze failures in different classes of columns.