An introduction to stress analyses with emphasis on both mechanics fundamentals and design applications. Elastic relationships between external forces acting on deformable bodies and the associated stresses and deformations; structural members subjected to axial load, torsion, and bending; and combined stresses.
Goals, Topics, and Objectives
- Moment of Inertia
- Calculate Moments of Inertia for Areas
- Apply Parallel-Axis Theorem for an Area
- Find Moments of Inertia for Composite Areas
- Stress and Strain
- Define Stress and Strain
- Calculate Average Normal Stress in an Axially Loaded Bar
- Calculate Average Shear Stress
- Mechanical Properties of Materials
- Explain the Stress—Strain Diagram
- Differentiate Stress—Strain Behavior of Ductile and Brittle Materials
- Describe and Apply Poisson’s Ratio
- Axial Load
- Describe Elastic Deformation of an Axially Loaded Member
- Solve Statically Indeterminate Axially Loaded Members
- Calculate Torsional Deformation of a Circular Shaft and Angle of Twist
- Solve Statically Indeterminate Torque-Loaded Members
- Beam Bending
- Draw Shear and Moment Diagrams
- Use Graphical Method for Constructing Shear and Moment Diagrams
- Find Transverse Shear in Straight Members
- Find Deflection of Beams Using Slope and Displacement by Integration
- Combined Loading
- Explain Method for Designing Thin-Walled Pressure Vessels
- Explain the State of Stress Caused by Combined Loadings
- Stress and Strain Transformation
- List General Equations of Plane-Stress Transformation
- Explain Principal Stresses and Maximum In-Plane Shear Stress
- Understand Mohr’s Circle–Plane Stress
- List General Equations of Plane-Strain Transformation
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 connected 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.