### Biomechanics

#### BME 24100 / 4 Cr.

This course combines didactic lecture and laboratory experiments to introduce the student to the principles of mechanics and how these concepts apply to musculoskeletal tissues.

**Available Online:** No

**Credit by Exam:** No

**Laptop required:** No

**Prerequisites/Co-requisites:**

P: PHYS 15200 and MATH 16600

##### Textbooks

Statics and Mechanics of Materials (2011) – FP Beer, ER Johnston Jr., JT DeWolf, DF Mazurek (ISBN 978-0-07-338015-5)

##### Goals

To introduce students to fundamental concepts of mechanics and biomechanics.

##### Outcomes

By the end of this course, you should be able to, among other things:

- Analyze vectors (vector algebra)
- Express forces in 3-D space
- Draw free body diagrams of rigid bodies
- Apply vector algebra to rigid bodies
- Apply vector algebra to rigid bodies to analyze moments, couples, etc.
- Apply equilibrium conditions to rigid bodies
- Determine centroids of lines, areas, and volumes
- Calculate friction forces
- Calculate 2nd moments of area
- Infer the state of stress and strain at a given point in a biological structure under torsional, axial, bending and other types of loads
- Employ theory of combined stresses to find maximum tensile, compressive and shear stresses in an element
- Calculate three dimensional force vectors using a force plate
- Calculate joint forces from 2D joint motion measurements
- Measure strain in a beam under complex loading using foil strain gauges
- Harvest and mechanically test musculoskeletal tissues

##### Topics

- Newton’s Laws as applied to skeletal system
- Forces and moments
- Analysis of systems at equilibrium – free body diagrams
- Introduction to skeletal tissues
- Concepts of stress: axial, torsion and bending
- Analysis and design of beams
- Shear in beams and thin-walled members
- Transformation of stresses
- Beam deflection
- Column buckling