Basic concepts and principles of statics with applications to Newton's Laws of Motion to engineering problems. Forces, moments, equilibrium, couples, free body diagrams, trusses, frames, internal forces, friction, area and mass moment of inertia.
Goals, Topics, and Objectives
- General Principles
- To provide an introduction to the basic quantities and idealizations of mechanics.
- To review the principles for applying the SI system of units.
- Force Vectors
- To express force and position in Cartesian vector form.
- To introduce the dot product in order to determine the angle between two vectors or the projection of one vector onto another.
- Equilibrium of a Particle
- To introduce the concept of the free-body diagram for a particle.
- To show how to solve particle equilibrium problems using the equations of equilibrium.
- Force System Resultants
- To discuss the concept of the moment of a force and show how to calculate it.
- To provide a method for finding the moment of a force about a specified axis.
- To define the moment of a couple.
- To indicate how to reduce a simple distributed loading to a single resultant force.
- Equilibrium of a Rigid Body
- To introduce the concept of the free-body diagram for a rigid body.
- To show how to solve rigid-body equilibrium problems using the equations of equilibrium.
- Structural Analysis
- To show how to determine the forces in the members of a truss using the method of joints and the method of sections.
- To analyze the forces acting on the members of frames and machines composed of pin-connected members.
- Internal Forces
- To show how to use the method of sections to determine the internal loadings in a member.
- To introduce the concept of dry friction and show how to analyze the equilibrium of rigid bodies subjected to this force.
- To present specific applications of frictional force analysis on wedges and belts.
- Center of Gravity and Centroid
- To discuss the concept of the center of gravity, center of mass, and the centroid.
- To show how to determine the location of the center of gravity and centroid for a system of composite shapes.
- Moments of Inertia
- To develop a method for determining the moment of inertia for an area.
- To introduce the product of inertia and show how to determine the maximum and minimum moments of inertia for an area.
Assessment and Requirements
Assessment will be conducted as follows:
- Problem solving skills will be assessed in the classroom by the instructor as each student is guided in the assembly of information and strategies for its analysis and interpretation; and later as each submitted homework problem set is read.
- Cognitive skills will be assessed by the instructor as homework problem sets submitted by each student are read to see how the student has connect their method of solution with possible physical relationships suggested during lecture.
- Critical thinking skills will be assessed by the instructor during numerous problem sessions with the entire class, in which each student presents solutions to problems assigned in advance on the blackboard, while the instructor circulates about the classroom engaging students in discussion about various strategies involved in solving the problem under consideration. Later evaluation of related assigned homework problems, quizzes, and tests, allow the instructor to verify such assessment.
- Communication skills will be assessed by the instructor while interacting with students in the classroom, with follow-up questions during oral presentations on the blackboard, and with written comments made on submitted homework problem sets.
- Natural Sciences
- Quantitative Literacy
- Scientific Reasoning
- Category 6: Natural Sciences (Lecture Only)