Calendar · Lecture Notes
MIT OpenCourseWare
Techniques for Structural Analysis and Design
- Instructor
- Prof. Raúl Radovitzky
- Term
- Spring 2005
- Level
- Undergraduate
- What's inside
- 1 lecture note · 1 reading · 73 other files · 5 web pages
- Materials open
- MIT OCW
About this course
Source: MIT OpenCourseWare 16.21 Techniques for Structural Analysis and Design, Spring 2005, Prof. Raúl Radovitzky — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: MIT's own listing order, section by section. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 23, 2026. How RedLectern is built.
Materials are grouped the way MIT organized them. A verified, course-wide order has not been established here.
Has MIT solutions
Before you start
Prerequisites are not listed here. Check MIT's own syllabus for this course.
How this course was organized
What's here, and what isn't
- A lecture sequence of 12 items is confirmed. Assignment and exam materials exist too, but MIT's own order for them could not be verified, so they're shown as materials below rather than a sequence.
Not included here
3 items from the source could not be safely included:
- MIT's page format for this item wasn't recognized clearly enough to place it safely. (2 items)
- Referenced in a table, but without MIT's own verified order, so it isn't used to claim a sequence.
Materials by section
Grouped by section, as MIT organized them. Not sequenced or ordered.
Lecture Notes
24 files
- Introduction Download
- Stress and Momentum Balance Download
- Mathematical Aside: Vectors, Indicial Notation and Summation Convention Download
- Kinematics of Deformation Download
- Thermodynamics Principles Download
- Constitutive Equations Download
- Boundary Value Problems of Linear Elasticity Download
- Concepts of Work and Energy Download
- Strain Energy and Potential Energy of a Beam Download
- Principles of Virtual Displacements Download
- Principles of Virtual Forces Download
- Calculus of Variations Download
- Principle of Minimum Potential Energy and Castigliano’s First Theorem Download
- Approximate Methods Download
- The Ritz Method Cont. Download
- The Finite Element Method Download
- The Finite Element Method II Download
- The Finite Element Method III Download
- The Finite Element Method IV: Imposition of Boundary Conditions Download
- Finite Element Model of a Beam Download
- The Finite Element Method V: For Three-Dimensional Elasticity Problems Download
- Formulation of Isoparametric Elements Download
- Numerical Integration Download
- Failure, Fracture, and Fatigue Download
Assignments
28 files
- Problem Set 1 Download
- Special file containing solution for assignment 2 (assn1_solution.nb) Download
- Problem Set 2 Download
- Special file containing solution for assignment 2 (assn2_solution.nb) Download
- Problem Set 3 Download
- Special file containing solution for assignment 2 (assn3_solution.nb) Download
- Problem Set 4 Download
- Special file containing solution for assignment 2 (assn4_solution.nb) Download
- Problem Set 5 Download
- Special file containing solution for assignment 5 (assn5_solution.nb) Download
- Problem Set 6 Download
- Special file containing solution for assignment 6 (assn6_solution.nb) Download
- Problem Set 7 Download
- Special file containing solution for assignment 7 (assn7_solution.nb) Download
- Problem Set 8 Download
- Special file containing solution for assignment 8 (ownweightcantilever.nb) Download
- Special file containing solution for assignment 8 (ownweightsimplysupported.nb) Download
- Special file containing solution for assignment 8 (T738.nb) Download
- Special file containing solution for assignment 8 (T742.nb) Download
- Special file containing solution for assignment 8 (T743.nb) Download
- Special file containing solution for assignment 8 (T745.nb) Download
- Special file containing solution for assignment 8 (T747.nb) Download
- This resource includes a solution to problem set 9 (T747.pdf) Download
- Problem Set 9 Download
- Special file containing solution for assignment 9 (T911.nb) Download
- Special file containing solution for assignment 9 (T91820.nb) Download
- This resource includes special .nb files that contains solution to problem set 9 (T96.nb) Download
- Special file containing solution for assignment 9 (T97.nb) Download
- Special file containing solution for assignment 8 Open ↗
- This resource includes a .JPG file which contains the solution to problem set 9 Open ↗
- Special file containing solution for assignment 9 Open ↗
- Special file containing solution for assignment 9 Open ↗
Exams
- Midterm Exam Download
- Practice Problems Download
- Practice Problems Solutions Download
- Final Exam Download
Tools
12 files
- Math Tutorial Download
- Influence of Nonlinear Strains Download
- Castigliano’s Theorem Example Download
- The Ritz Method: Beam Example Download
- Space Elevators Download
- Notes on The Finite Element Method II Download
- Fixes to the Ritz Method Download
- Application to Rods Download
- The Beam Model Download
- 2nd Plane Stress Element Download
- Isoparametric 4-node 2nd Element Download
- Quadtrature Download
Other materials from this course
- This resource includes the special .ZIP files to solution of assignment 8 (assn8_solution.tgz) Download
- This resource includes the special .ZIP files to solution of assignment 9 (assn9_solution.tgz) Download
- This resource includes information on MER parachute decelerator system (term_project.pdf) Download
- vssver.scc Download
- This resource includes information on operational sequence, design requirements, and deploy… (term_proj_slides.pdf) Download
Course outline
Calendar · Lecture Notes
Lecture 4: Kinematics Strain at a Point Transformation of Stress Components Compatibility Conditions
Calendar · Lecture Notes
Lecture 5: Thermodynamic Principles The First Law of Thermodynamics: Energy Equation The Second Law of Thermodynamics
Calendar · Lecture Notes
Lecture 6: Constitutive Equations Generalized Hooke’s Law Strain Energy Density Function Elastic Symmetry Thermoelastic Constitutive Equations
Calendar · Lecture Notes
Lecture 7: Boundary Value Problems of Elasticity Summary of Equations Classification of Boundary Value Problems Existence and Uniqueness of Solutions
Calendar · Lecture Notes
Lecture 15: Energy Theorems of Structural Mechanics Castigliano’s First Theorem Castigliano’s Second Theorem Betti’s and Maxwell’s Reciprocity Theorems
Calendar · Lecture Notes
Lecture 16: Some Preliminaries
Calendar · Lecture Notes
Lecture 19: Weighted Residual Methods A Brief Description of Galerkin, Least-squares and Collocation Methods
Calendar · Lecture Notes
Lecture 23: Convergence of Analysis Results Definition of Convergence Properties of the Finite Element Solution Rate of Convergence Calculation of Stresses and the Assessment of Error
Calendar · Lecture Notes
Lecture 24: Isoparametric Derivation of Bar Element Stiffness Matrix
Calendar · Lecture Notes
Lecture 30: Numerical Integration
Calendar · Lecture Notes
Lecture 31: Direct Solution of Linear System of Equations
MIT OpenCourseWare, Prof. Raúl Radovitzky, 16.21 Techniques for Structural Analysis and Design, Spring 2005.
License: CC BY-NC-SA 4.0 · Edition: Spring 2005 · Open the original course on OCW ↗
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