Structural Stability Analysis
Master the principles of elastic stability and structural member behavior through advanced mathematical analysis methods.
Master the principles of elastic stability and structural member behavior through advanced mathematical analysis methods.
This advanced course explores the fundamental concepts of structural stability and buckling analysis. Students learn various methods to evaluate structural stability, including bifurcation and energy methods. The curriculum covers differential equations governing structural member behavior, analysis of small and large deformations, and practical applications in steel design. Through detailed mathematical analysis and real-world examples, students develop expertise in analyzing structural stability problems.
Instructors:
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What you'll learn
Analyze stability problems using energy and bifurcation methods
Master differential equations for structural member behavior
Calculate stresses from bending, shear, and torsion
Evaluate column buckling for various cross-sections
Apply stability concepts to practical design scenarios
Skills you'll gain
This course includes:
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Graded assignments, exams
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There are 5 modules in this course
This comprehensive course examines structural stability concepts and analysis methods. The curriculum progresses through five key areas: introduction to stability and bifurcation analysis, energy methods and first-order differential equations, stress calculations, second-order differential equations, and elastic buckling of columns. Students learn to apply both theoretical principles and practical analysis techniques to real structural engineering problems. The course emphasizes understanding fundamental concepts while developing practical problem-solving skills.
Introduction to Stability and Bifurcation Analysis
Module 1 · 1 Weeks to complete
Energy Methods and First Order Differential Equations
Module 2 · 1 Weeks to complete
First Order Differential Equations and Stress Calculations
Module 3 · 1 Weeks to complete
Second Order Differential Equations
Module 4 · 1 Weeks to complete
Elastic Buckling of Columns
Module 5 · 1 Weeks to complete
Instructors
Pioneering Structural Engineering and Nuclear Safety Expert
Amit Varma, the Karl H. Kettelhut Professor of Civil Engineering and Director of Bowen Laboratory at Purdue University, has established himself as a leading authority in steel-concrete composite structures through his groundbreaking research and innovations. After earning his BS from IIT-Bombay (1994), MS from the University of Oklahoma (1996), and PhD from Lehigh University (2001), he has dedicated over two decades to advancing structural engineering, particularly in extreme loading conditions. His fundamental research in steel-concrete composite structures has revolutionized the field, leading to the development of critical design provisions that are now incorporated into major AISC specifications governing building and nuclear facility construction worldwide. His expertise spans seismic behavior, fire resistance, blast protection, and missile impact loading, with his research directly influencing the design and construction standards for safety-related nuclear facilities and commercial buildings across the globe. His exceptional contributions have been recognized with numerous prestigious awards, including the AISC Special Achievement Award (2017, 2020) and the ASCE Shortridge Hardesty Award (2019), while his leadership roles in key industry committees continue to shape the future of structural engineering standards
Innovative Composite Wall Systems Researcher
Morgan Broberg is a doctoral fellow in Civil Engineering at Purdue University, working under the mentorship of Professor Amit Varma, where she specializes in the behavior, analysis, and design of composite plate shear walls and concrete-filled steel (C-PSW/CF) systems. Her significant research contributions, particularly in developing R factors for coupled C-PSW/CF walls, are being considered for incorporation into major industry specifications including ASCE7, AISC341, and AISC360. Her current work involves collaborating with research colleagues to develop a comprehensive AISC design guide for C-PSW walls, demonstrating her commitment to bridging academic research with practical engineering applications
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