• Length:
    5 Weeks
  • Effort:
    6–7 hours per week
  • Price:

    FREE
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  • Institution
  • Subject:
  • Level:
    Advanced
  • Language:
    English
  • Video Transcript:
    English
  • Course Type:
    Instructor-led on a course schedule

Prerequisites

Recommend completing an undergraduate structural analysis course.

About this course

Skip About this course

Stability is a critical design limit state for structural members and systems.

This course will cover basic concepts in stability including methods to evaluate structural stability including bifurcation method and energy methods. Both small and large deformations will be assumed, and the effects of geometric imperfections will be investigated.

The differential equations governing the behavior of structural members will be discussed along with the design of steel rolled sections to torsional moment. The differential equations governing the stability behavior of structural members will be derived, and used to evaluate the buckling of columns with asymmetric, singly symmetric, and doubly symmetric cross-sections.

Students will leave this course with an in-depth knowledge of bifurcation buckling, stability, and methods of analysis. Students will also learn about governing differential equations for stability analysis and the buckling of different types of columns. This course is best suited for students with an undergraduate civil engineering background including a structural analysis course and will build on these concepts.

Students will learn from an awarded structural engineering researcher with over 20 years of experience in the field. Professor Varma focuses on teaching through exploring example problems and applications of fundamental concepts, encouraging his students to both understand the principles of structural stability and be able to apply these concepts in realistic design scenarios.

What you'll learn

Skip What you'll learn
  • Define stability, instability, and buckling of structural members
  • Analyze stability problems using energy and bifurcation buckling analysis approaches
  • Differential between first and second order differential equations used to define structural member behavior.
  • Calculate stresses induced in structural members due to bending, shear, and torsion
  • Differentiate between column buckling for doubly symmetric, singly symmetric and asymmetric columns.

Week 1: Introduction to Stability and Bifurcation Analysis

Introduce key stability concepts including stability, instability and buckling. Discuss different buckling analysis methods and introduce bifurcation analysis.

Week 2: Energy Methods and First Order Differential Equations (DE)

Introduce energy methods for buckling analysis including the effects of large deformations and imperfects. Begin discussing first order differential equations governing buckling behavior.

Week 3: First Order Differential Equations and Stress Calculations

Continue discussing first order differential equations with special attention to torsion differential equations. Discuss calculating the stress associated with bending, shear, and torsion.

Week 4: Second Order Differential Equations

Detail second order differential equations governing structural stability including axial, flexural, and torsion.

Week 5: Elastic Buckling of Columns

Simplify differential equations previously discussed to look at elastic buckling of columns. Derive governing equations for elastic buckling of doubly symmetric, singly symmetric, and asymmetric column buckling.

Meet your instructors

Amit Varma
Karl H. Kettelhut Professor of Civil Engineering and Director of Bowen Laboratory of Large-Scale CE Research
Purdue University
Morgan Broberg
Doctoral Fellow, Civil Engineering
Purdue University

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