Heedong Goh, PhD

Structural Analysis 1 (Fall 2025)

• Objectives
  We study mathematical modeling and analysis to understand the behavior (reactions, moments, deformations, etc.) of fundamental civil structures (beams, trusses, frames, arches, etc.) under loads. Topics include freebody diagrams, the principle of virtual work, analysis of indeterminate structures, and influence lines.
• Instructor: Heedong Goh
• Teaching assistant: Ahyeon Seo and Moon Yeup Shin
• Lecture hours (location): 16:00-17:50 Monday (43-201) and 16:00-16:50 Wednesday (43-201)
• Office hours (location): 13:00-15:00 Tuesday (35-414) or by appointments
• Schedule
  
  1. Preliminaries
  2. Introduction to Structural Analaysis
  3. Reactions and Internal Forces by Freebody Diagrams
  4. Governing Equations
  5. Principle of Virtual Work
  6. Statically Indeterminate Structures
  7. Influence Lines
• Evaluations
  attendance 10%; ten assignements 20%; two midterms 40%; final 30%
• Important dates
  
  • midterm 1 - 2025.9.29
  • midterm 2 - 2025.11.17
  • final - 2025.12.15
• Materials
  • Lecture notes:
    • Lecture Notes for Structural Analysis by Heedong Goh (updated November 20th, 2025)
    • fixed typos; added 2.3 Symmetry and anti-symmetry; revised 1.2 Miscellanies; revised 7.1 Green's function; and other minor fixes.
  • Past exams:
    • 2024: mid 1, mid 2, final
    • 2025: mid 1, mid 2
  • chickadee: Python script for 2D frame analysis (under development)
    Please be careful when using the software, as it may have many bugs and errors that could lead to incorrect analyses.

Finite Element Method (Fall 2025)

• Objectives
  This course introduces the mathematical foundations and numerical methods underlying the Finite Element Method (FEM). Topics include approximation theory, variational principles, the Ritz method, discretization using various shape functions, and numerical integration techniques.
• Instructor: Heedong Goh
• Lecture hours (location): 11:00-12:15 Monday and Wednesday (35-320)
• Office hours (location): 13:00-15:00 Tuesday (35-414) or by appointments
• Schedule
  
  1. Preliminaries
  2. Introduction to finite element method
  3. One-dimensional model problem
  4. Linear elasticity
  5. Electromagnetism
  6. Shape functions
  7. Time integration
  8. Software implementation (using Petsc, Slepc, and Gmsh)
  9. Miscellanies
• Evaluations
  attendance 10%; six assignements 30%; midterm 30%; final 30%
• Important dates
  
  • midterm - 2025.10.22
  • final - 2025.12.10
• Materials
  • Lecture notes:
    • Lecture Notes for Finite Element Method by Heedong Goh (chapter 1 ~ 7) (updated November 24th, 2025)
    • Introduction to Finite Element Method by Hae Sung Lee