ABOUT THE COURSE:Structural stability and the design of steel structures are commonly perceived as distinct fields in structural engineering. However, the core philosophy behind the development of design provisions available in IS 800:2007 can be directly traced back to the fundamental understanding of structural stability. This course seeks to bridge the gap between these two domains by formulating stability equations based on fundamental principles. The course commences with simple spring bar models,introducing stability concepts, and then progresses to one-dimensional members like columns,beams, and beam-columns. Additionally, it covers two-dimensional elements such as plates, directly applicable to designing long-span structures like plate girders. Upon completing this course, students are expected to confidently navigate global steel design standards. The course structure will ensure that students gain a profound understanding of the origin of design provisions. This will enable them to comfortably apply the concepts learned to design safe and stable steel structures with an inherent understanding of the limitations and their applicability. Upon completing this course, students are expected to confidently navigate global steel design standards. The course's emphasis on tracing these standards back to fundamental principles in structural stability will significantly enhance the understanding of the students, equipping them to be industry-ready on a global scale.INTENDED AUDIENCE: UG Civil Engineering students (3 rd year and above)/PG Structural Engineering /Industry PersonPREREQUISITES: Basic Design of Steel StructuresINDUSTRY SUPPORT:TATASteelSAILJSWJSPLL&TKirby IndustryPennar IndustryZamilTATA BlueScope
Overview
Syllabus
Week 1: Introduction to stability: Concepts of stability, Types of stability, Methods of analyses in stability, Small deflection theory, Large deflection theory, Spring bar modelsWeek 2:Columns: Classical column theory, Pin-Ended columns, End-restrained Columns, Eccentrically loaded columns, Secant’s formulaWeek 3:Imperfections in columns: Initially crooked columns, Effect of residual stresses, Experimental stub-column stress-strain curve, Perry-Robertson FormulaWeek 4:Design curves for steel columns: Design equation as per IS:800, Column research council curve, Structural stability research council, Single column curve as per AISC, Design curves as per EurocodeWeek 5:Members under subjected to torsional loading: Types of torsion - St. Venant torsion and Warping torsion, Torsional and Flexural-Torsional buckling of columns – The three critical loads of members, Tutorial problemWeek 6:Members under subjected to transverse loading: Elastic critical moment for simply supported beams subjected to uniform bending moment – With closed (Rectangular section) and open cross-sections (I section); With different loading conditions {Unequal end moments, Central concentrated load}, Generic solution of Mcr for a generic loading caseWeek 7:Members under subjected to transverse loading (Cont.): Elastic critical moment for beams - With different support conditions {Effective length factors for Lateral Torsional Buckling of Cantilever beams, Fixed beams}, Mcr equation for continuous beams, Beam with generic support conditionsWeek 8:Design of beams: Based on Structural Stability Research Council Approach, Tutorial problem on laterally unsupported beamWeek 9:Plated structures: Introduction to stability of plates- Strength of plates underuniform edge compression -Shear buckling equations-PostOnline critical methods-Tension field methodWeek 10:Design of Plate Girder: Introduction - Elements of Plate Girder – General Considerations-Stiffeners-Design Procedure-Tutorial problemWeek 11:Members under combined Axial load and Moments: Beam Column with Concentrated and Distributed Lateral Load; Effect of Axial Load on Bending Stiffness-Slope Deflection Equation- Moment magnification factorsWeek 12:Behaviour of Beam-column - Nominal Strength-Instability in the Plane of Bending - Interaction Equation- Code design procedures- Design of Beam Column (Tutorial Problem)
Taught by
Prof. Mahendrakumar Madhavan