Course Description
Provides students with the essential knowledge necessary to
analyze structural/mechanical systems and components as well as
the ability to interpret analysis results. Basic concepts and
tools for analyzing engineering problems (elasticity equations,
equilibrium, compatibility, etc.) will be emphasized as well as
the mathematical formulations.
Athena Title
Advanced Strength of Materials
Equivalent Courses
Not open to students with credit in CVLE 8640E
Prerequisite
Permission of department
Semester Course Offered
Offered every year.
Grading System
A - F (Traditional)
Student learning Outcomes
- This course extends the understanding that students acquired from their undergraduate Strength of Materials course and builds the capability to use fundamental skills and advanced knowledge that are the traits of a successful structural, mechanical, or geotechnical engineer. It is intended that the students will learn to extend and apply this basic knowledge to real-life two dimensional and three-dimensional structural/mechanical systems and components. Upon the completion of the course, students will be able to create conceptual models of structural/mechanical systems and design new solutions to meet technical challenges.
- At the completion of this course, the student should be able to understand the fundamentals of 2-d and 3-d stress-strain analyses with linear materials.
- At the completion of this course, the student should be able to understand the classical theory of elasticity (e.g., elasticity equations, equilibrium, and compatibility) and transition to advanced computational mechanics courses (e.g., continuum mechanics and nonlinear analysis).
- At the completion of this course, the student should be able to develop a fundamental background to pursue further study in structural, mechanical, and geotechnical engineering.
- At the completion of this course, the student should be able to develop an ability to apply classical and contemporary analysis methods to discrete and continuous structural systems and mechanical components.
- At the completion of this course, the student should be able to understand how to apply fundamental theories and engineering solutions to particular situations.
- At the completion of this course, the student should be able to create conceptual models of systems and design new solutions to meet technical challenges.
- At the completion of this course, the student should be able to understand professional and ethical responsibilities.
- At the completion of this course, the student should be able to effectively communicate solutions to problems through technical writing and oral presentations.
Topical Outline
- Fundamental Components of Analyzing Continuous Systems
- Basic Operations Required to Build the Continuum Mechanics Framework
- Vectors, Tensors, Differential Geometry, Coordinate Transformations, Transformation of Stress and Strain, Index
Notation, Divergence, PDEs
- Equilibrium and Stress
- Displacement, Strain, and Compatibility
- Linear Constitutive Relations
- From 1-D spring systems to 2-D Elasticity (torsion, beams, truss and frame elements, solutions, and applications in plane stress and plane strain elements)
- Classical Theories (Bernoulli-Euler beam theory and Kirchoff plate theory)
- Variational Methods (equilibrium, virtual work, and other energy formulations)
- Case study in failure analysis emphasizing implications
- Special Topics (e.g., Finite Element Method, Fourier Analysis)
