ENGR& 225 - Mechanics of Materials
Credits: 5
Variable Credit Course: No
Lecture Hours: 55
Lab Hours: 0
Worksite/Clinical Hours: 0
Other Hours (LIA/Internships): 0
Course Description: A continuation of ENGR& 214 applied to deformable structures. Focus is on relating external applied loads (e.g., axial; torsion; bending; transverse shear; combined; etc.) and a structure’s material properties to the internal loads, deformations, strains, and stresses that result. Stress/strain transformations and failure theories introduced in the context of predicting structural failure. Other types of failure modes including buckling and fatigue briefly introduced. Emphasis given to practical applications (e.g., beam sizing/design) and how the subject applies in industry.
Prerequisite: ENGR& 214 with a grade of C or higher.
Distribution Requirements: - Natural Sciences Distribution Requirement
Meets FQE Requirement: No
Elective Requirements: Fulfills Academic Electives
Integrative Experience Requirement: No
Student Learning Outcomes
- Explain the importance of standardized materials testing (e.g., ASTM E8/M; ASTM A370).
- Define several key quantities (e.g., elastic modulus; Poisson’s ratio; yield strength; ultimate strength; etc.) that result from materials testing.
- Differentiate between the stress-strain response of ductile and brittle materials.
- Describe the applicability in understanding failure modes (e.g., fatigue; fracture; creep; corrosion; buckling).
- Calculate deflections, stresses, and strains within structural members loaded: axially; in torsion; in bending; subjected to transverse shear; and combinations thereof.
- Calculate stresses and strains within material elements under plane stress and plane strain conditions.
- Use Mohr’s circle to calculate critical stress/strain quantities (e.g., principal; max shear).
- Utilize several common failure theories to predict failure.
- Explain what a factor of safety and a margin of safety is.
- Size structural components including beams, shafts, and columns.
Course Contents
- Providing context: What is engineering mechanics of materials? How is it used? Why is it important?
- Review of loads, introduction to displacements, Hooke’s law, strains, and stresses.
- Mechanical testing and standards, stress-strain diagram, material properties (e.g., elastic modulus; Poisson’s ratio; yield strength; ultimate strength; etc.).
- Axial loading: Columns, bars, struts, etc., Saint-Venant’s principle and its relation to boundary conditions, elastic deformation, superposition, thermal stress, stress concentrations, etc.
- Torsional loading: Shafts, thin-walled tubes, etc., power transmission, torsional deformation/angle of twist, shear stress, stress concentrations, etc.
- Bending loads: Beams, review of shear and moment diagrams, bending deformation, bending (flexure) stress, asymmetric bending, stress concentrations, residual stresses and plastic section modulus, etc.
- Transverse shear loading: Shear stresses in beams, bars, etc., shear flow in composite and thin-walled members.
- Thin-walled pressure vessels and states of stress caused by combined loading.
- Special stress-strain states including plane stress and strain, transformations via Mohr’s circle, principal stresses and maximum in-plane shear stress, failure theories, and factors/margins of safety in design.
- Design of beams, shafts, and columns; a revisit of statically indeterminate structures.
Instructional Units: 5
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