EMA3702 Mechanics of Materials

Course Information

This is an undergraduate-level mechanical engineering course, which covers the basic engineering stress, strain, and related force and deformation analysis for simple mechanical loading. Since the course is intended to serve students who have already taken Statics, basic skills in geometry and equilibrium analysis based on balance of force and moment are expected. Topics covered include simple loading situation such as axial tensile, simple shearing, compression, torsion, and bending as well as additional methods to solve simple statically indeterminate problems and combined loading situations such as off-centered axial loading, and the transformation of stress.

Course Objective

Students will be able to:

  • Identify mechanical properties and the characteristics of elastic behavior for basic types of material
  • Calculate the engineering stress and strain at a point for a specific simple loading arrangement
  • Transform plane stress and strain configurations and identify principal stress and principal axes
  • Use the appropriate failure criteria for simple situations and/or materials (within elastic limit only)
  • Design prismatic beams for handling simple loading conditions
  • Determine the deflection at any point of a prismatic beam, given the simple loading and end (boundary) condition
  • Determine the load, shear and moment diagrams for a beam given the loading and end conditions

Course Syllabus & Schedule

EMA3702 online – TENTATIVE Syllabus

EMA3702 online – SUGGESTED Schedule

Course Materials

Chapter Content Lecture
Slides w/ Hw		 HW Answers
& Hints
Ch 01 Introduction PDF PDF
Ch 02 Stress and Strain – Axial Loading PDF PDF
Ch 03 Torsion PDF PDF
Ch 04 Pure Bending PDF PDF
Ch 05 Beams for Bending PDF PDF
Ch 06 Shearing Stress in Beams and Thin-Walled Members PDF PDF
Ch 07 Transformation of Stress & Strain – Mohr’s Circle PDF PDF
Ch 08 Principle Stresses PDF PDF
Ch 09 Deflection of Beams PDF PDF
Ch 10 Columns PDF PDF

Course Videos (on going effort)

Chapter Content Detailed content
Ch01 Introduction
Ch02 Stress and Strain – Axial Loading Poisson ratio and generalized Hooke’s law
Ch02 Stress and Strain – Axial Loading Statically indeterminate problem – rod in tube
Ch02 Stress and Strain – Axial Loading Statically indeterminate problem – superposition method
Ch02 Stress and Strain – Axial Loading Statically indeterminate problem – thermal expansion
Ch02 Stress and Strain – Axial Loading Shearing strain and Hooke’s law for shearing
Ch02 Stress and Strain – Axial Loading Shearing strain – class example
Ch03 Torsion Torsion – multi-section shaft example
Ch03 Torsion Normal stress in torsion and fracture type
Ch03 Torsion Angle of twist in torsion
Ch03 Torsion Statically indeterminate problem for torsion
Ch03 Torsion Transmission shaft design
Ch04 Pure bending Pure bending – introduction
Ch04 Pure bending Other bending situations
Ch04 Pure bending Sign convention for bending momentum
Ch04 Pure bending Equilibrium equations for pure bending
Ch04 Pure bending Geometry and stress components in pure bending
Ch04 Pure bending Neutral surface and Strain in pure bending