### Basic Mechanics I

#### ME 27000 / 3 Cr. (3 Class)

Fundamental concepts of mechanics, force systems and couples, free body diagrams, and equilibrium of particles and rigid bodies. Distributed forces; centroids and centers of gravity of lines, areas, and volumes. Second moment of area, volumes, and masses. Principal axes and principal moments of inertia. Friction and the laws of dry friction. Application to structures and machine elements, such as bars, beams, trusses, and friction devices.

**Available Online:** No

**Credit by Exam:** No

**Laptop required:** No

**Prerequisites/Co-requisites:**

P: PHYS 15200. C: MATH 26100.

##### Textbooks

F.P. Beer and E.R. Johnston, Jr., E.R. Eisenberg, Vector Mechanics for Engineers: Statics, McGraw Hill, 9th Edition, 2010.

##### Goals

To teach students the basic knowledge of equilibrium of particles and rigid bodies under the action of external forces.

##### Outcomes

**After completion of this course, the students should be able to:**

- Draw free body diagrams of particles. [a]
- Analyze vectors (vector algebra). [a]
- Express forces in 3-D space. [a]
- Apply equilibrium conditions to particles. [a]
- Draw free body diagrams of rigid bodies. [a]
- Apply vector algebra to rigid bodies. [a]
- Analyze rigid bodies for moments, couples, etc. [e, a]
- Apply equilibrium conditions to rigid bodies [a]
- Determine centroids of lines, areas, and volumes. [a]
- Analyze structures-trusses, frames and machines. [e, a]
- Calculate friction forces. [a]
- Calculate moments and product of inertia. [a]

Note: The letters within the brackets indicate the general program outcomes of mechanical engineering. See: ME Program Outcomes.

##### Topics

**Topics**

- Introduction to statics, various systems of units (1 period)
- Vectors and forces, equilibrium of a particle in two or three dimensions (5 periods)
- Equivalent systems of forces, concept of moment of a force (5 periods)
- Equilibrium of rigid bodies, concept of free body diagram, and determination of re-actions (2 periods)
- Distributed forces, concept of centroids and centers of mass. (3 periods)
- Distributed forces, moment of inertia of an area, a volume (5 periods)
- Analysis of structures such as trusses, frames, and machines (4 periods)
- Equilibrium of rigid bodies under the action of forces (3 periods)
- Exams (3 periods)