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Elastic Stability of Structures
This learning track covers the fundamental principles of structural instability and buckling, with a focus on rings, curved bars, and arches. It provides a comprehensive understanding of the critical load of structural elements and the different types of buckling. The track uses the example of a simply supported column to illustrate these concepts. It also emphasizes the importance of understanding structural stability for engineers, highlighting the catastrophic consequences of instability failures. The track further delves into the characteristics of equilibrium and the concept of critical load. It concludes by discussing various methods to calculate the critical load, including the equilibrium approach, energy approach, imperfection approach, and dynamic approach. The track also covers the kinetic approach for estimating the critical load of structural elements and different types of buckling. It further explores the fundamentals of weighted residual methods used in structural mechanics and their application in solving differential equations.
These courses have been developed by Prof. Sarat Kumar Panda from IIT-ISM for NPTEL. They are now accessible through Ansys Innovation Space courtesy of the partnership between Ansys and NPTEL, under the CC BY-SA license. For more details, visit https://nptel.ac.in/courses/105105217.
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Innovation Course
Structural Stability and Mechanics
This course covers the fundamental concepts of elastic stability of structures, with a focus on buckling. It provides a comprehensive understanding of the critical load of structural elements and the different types of buckling. The course uses the example of ...Read more
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Innovation Course
Calculus of Variation in Mechanics
This course covers the intricate concept of the calculus of variation and its application in structural mechanics. It begins with a generalization of the maximum or minimum problem of ordinary calculus, moving on to its application in determining the deformed sh...Read more
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Innovation Course
Stability Analysis and Critical Load Determination
This course covers the comprehensive understanding of stability analysis and critical load determination in mechanical models. It introduces four basic approaches for estimating the critical load: the equilibrium approach, the energy approach, th...Read more
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Innovation Course
Mechanical Stability Analysis: Column Buckling
This course covers the comprehensive analysis of mechanical stability models, with a special focus on the elastic buckling of columns under various boundary conditions. It provides an in-depth understanding of different approaches such as equilibrium,...Read more
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Innovation Course
Critical Load in Structural Analysis
This course covers the comprehensive analysis of mechanical stability models, with a special focus on the elastic buckling of columns under various boundary conditions. It provides an in-depth understanding of different approaches such as equilibrium, energy, ...Read more
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Innovation Course
Deflection Theories and Beam Analysis
This course covers the comprehensive understanding of small and large deflection theories in the context of Euler columns. It provides a detailed explanation of how to derive the critical load of an Euler column considering both theories. The course also delv...Read more
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Innovation Course
Beam-Column Deflection and Bending
This course covers the comprehensive understanding of beam-column deflection and bending under various load conditions. It begins with the general expression of the elastic curve when a transverse load is applied at a variable distance from one end of the beam-c...Read more
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Innovation Course
Torsional Buckling in Structures
This course covers the comprehensive understanding of torsional buckling in structural engineering. It begins with an introduction to the concept of torsional buckling, including its types and conditions under which it occurs. The course further delves into the ma...Read more
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Innovation Course
Plate Buckling: Theory and Applications
This course covers the comprehensive understanding of plate buckling, a crucial concept in structural engineering. It starts with the basic difference between buckling in plates and columns, emphasizing the post-buckling strength of plates. The course introd...Read more
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Innovation Course
Plate and Shell Buckling Theories
This course covers the comprehensive study of plate and shell buckling theories. It starts with the exploration of plate buckling, explaining the governing differential equation and how to solve it to find the critical load using equilibrium and energy methods. F...Read more
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Innovation Course
Cylindrical Shell Buckling Theories
This course covers the comprehensive understanding of equilibrium equations for cylindrical shells using both small and finite deflection theories. It begins with the derivation of these equations and the impact of initial curvature on membrane action due to se...Read more
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Innovation Course
Structural Instability and Buckling
This course covers the fundamental principles of structural instability and buckling, focusing on rings, curved bars, and arches. It provides an in-depth understanding of the derivation of the governing differential equation for the deflection curve of a thin b...Read more
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