Prince George's Community College:EGR 2220: Solid Mechanics
Topics in deformable bodies in axial, torsional, bending, and combined loading. This
course extends the introductory strength of materials to intermediate continuum mechanics.
Other topics include statically indeterminate and temperature effect analysis; beam,
column, and pressure vessel configuration. More advance topics include structural
stability, analysis of one and two-dimensional structures, inelastic material behavior
and energy methods.
See below for more details.
Prerequisite: EGR 1010 and EGR 2210
3 credit hours
Mechanics of Materials
Beer, Johnston, and DeWolf.
Schaum's Outline of
Strength of Materials 4th Edition.
Subject matter covered in class:
Chapter 1 Forces and Stresses
Chapter 2 Stress and Strain
- Axial stress, shear stress, stresses relative to oblique planes, ultimate load, Factor of safety
Chapter 3 Torsion
- Stress-strain diagrams, Hooke's Law, axial deformations including indeterminate forms and deformations due to temperature change
- Lateral strain and multi-axial loading
- Shearing strain, the modulus of rigidly, angular deflection
Chapter 7 Shear and Bending Moment Diagrams
- Torques, shearing stress in circular shafts
- Angle of twist in shafts, gear systems, objects with regular geometries, and indeterminate forms
- Shear and bending moment diagrams under a variety of transverse loadings including forces at points and distributed loads and combinations of the two.
Chapter 4 Pure Bending
Chapter 5 Transverse Loading
- Neutral axis, radius of curvature, finding maximum stress
- Objects made of several materials including materials layered concentrically (a new set of equations which further generalize those in the text are derived out)
Chapter 6 Transformations of Stress and Strain
- Shears in the horizontal plane
- Study of common beams, max compressive and max shearing stresses
- Stresses under combined loadings; axial, torsional, bending moment.
Chapter 8 Deflection of Beams
- Construction of the Mohr Circle
- Analyzing principle planes, principle stresses, Max shearing stress using the Mohr Circle
Analysis of Columns from chapter 11
- Integration techniques
- Superposition including statically indeterminate forms.
Energy methods from chapter 10