# ENGRMAE 145 Theory of Machines and Mechanisms (2014-2015)

#### ENGRMAE 145 Theory of Machines and Mechanisms

**ENGRMAE 145 Theory of Machines and Mechanisms (Credit Units: 4)** Presents the basic mathematical theory of machines. Focuses on the principles of cam design, gearing and gear train analysis, and the kinematic and dynamic analysis of linkages, together with an introduction to robotics. Prerequisite: MAE 52 and MAE80; Mathematics 3A. Mechanical Engineering and Materials Science Engineering majors have first consideration for enrollment. (Design units: 2)

1. Formulate and solve linear equations. ME-3 (EAC a)

2. Perform kinematic analysis of mechanisms (EAC a)

3. Perform dynamic analysis of mechanisms (EAC a)

4. Calculate position, velocity, and acceleration of linkages (EAC e)

5. Calculate speed ratio of gear trains (EAC e)

6. Calculate displacement, velocity, and acceleration of cam profiles (EAC e)

7. Design standard cam profiles (EAC c)

8. Use SolidWorks® to generate mechanism animations (EAC k)

- Engineering Dynamics
- Introduction to Linear Algebra

- Machines and Mechanical Advantage
- Linkage Analysis
- Linkage Design
- Cam Design
- Robotics
- Gears
- Gear Trains
- Static Force Analysis
- Virtual Work, Lagrange’s Equations

Meets for 3 hours of lecture and 1 hour of discussion each week for 10 weeks.

Mathematica software is used to facilitate problem solutions. Computer laboratories are available with this software.

Contributes toward the Mechanical Engineering Topics courses.

Six assignments are worth 30 points each, with a midterm exam worth 100 points and the final exam approximately 200 points for a total of 480 points for the class. The final grade will be determined from the percentage of points, the distribution is approximately 90-100% A, 80-89% B, 70-79% C, 60-69% D.

Mathematics and Basic Science: 0.0 credit units

Computing: 0.0 credit units

Engineering Topics: 4.0 credit units

Engineering Science: 4.0 credit units

Engineering Design: 0.0 credit units