CivE 398
Introduction to Continuum Mechanics
Awards:
Description
Stress, strain and displacements in two and three dimensions. Constitutive equations. Governing equations of elasticity and simple solutions. Strain energy and virtual work. Theories of failure.Prerequisites: CIV E 270 and MATH 209.
Learning Outcomes
Define sets and functions and differentiate between different types of functions. Describe the relationship between real numbers and a continuum.Define and identify the components of linear vector spaces and linear maps between vector spaces.
Define the mathematical description of motion as a mathematical function that relates the material points of an object in an “undeformed” or “pre-deformed” state to its “deformed” state.
Describe and calculate the uniaxial and three dimensional strain measures. Define the components and the invariants of the Cauchy stress tensor
Describe and apply various stress based failure criteria to compute whether the material at a given stress state has failed or not
Apply Newton’s equations of equilibrium to a continuum and identify the difference between static and dynamic equilibrium
Differentiate between different types of materials (linear vs. nonlinear, , elastic vs. nonelastic, isotropic vs. anisotropic, homogenous vs. nonhomogenous, and viscous vs. nonviscous materials).
Differentiate between isotropic, transversely isotropic, orthotropic, and generally anisotropic materials.
Identify the relationship between the external loads, the internal forces, and the displacement of for beams under lateral and axial loading.
Define and compute the strain energy and potential energy in linear elastic isotropic structures. Explain the concept of minimum potential energy at equilibrium.
Identify and apply the principle of virtual work for linear elastic isotropic structures.
Use the principle of minimum potential energy at equilibrium to find solutions to the equilibrium equations of various linear elastic isotropic structures.
| Lecture | Seminar | Lab | Credits | Total AU |
|---|---|---|---|---|
| 3 | 1/1 | 0/1 | 3.5 | 44.1 |
| M % | NS % | CS % | ES % | ED % |
|---|---|---|---|---|
| 25 | 0 | 0 | 75 | 0 |
None defined
- Use of engineering tools
Undergraduate Program(s)
| 2024/2025 - Fall - Civil-coop - Year 4 |
| 2024/2025 - Fall - Civil - Year 3 |
| 2023/2024 - Fall - Civil-coop - Year 4 |
| 2023/2024 - Fall - Civil - Year 3 |
| 2022/2023 - Fall - Civil-coop - Year 4 |
| 2022/2023 - Fall - Civil - Year 3 |
| 2021/2022 - Fall - Civil-coop - Year 4 |
| 2021/2022 - Fall - Civil - Year 3 |
| 2020/2021 - Fall - Civil-coop - Year 4 |
| 2020/2021 - Fall - Civil - Year 3 |
| 2019/2020 - Fall - Civil-coop - Year 4 |
| 2019/2020 - Fall - Civil - Year 3 |
Sections & Respective Instructors
| A1 - 2024/2025 - Fall - Clayton Pettit |
| A1 - 2023/2024 - Fall - Clayton Pettit |
| A1 - 2022/2023 - Fall - Clayton Pettit |
| A1 - 2021/2022 - Fall - Clayton Pettit |
| A1 - 2020/2021 - Fall - Samer Adeeb |
| A1 - 2019/2020 - Fall - Samer Adeeb |