Conjugate Beam Method (Deflection of Beams)

Deflection of Beams by Conjugate Beam Method | Theory + Solved Numerical Problems | Strength of Materials | In this lecture, we begin the Conjugate Beam Method, one of the most powerful techniques for determining the slope and deflection of beams, especially when the beam has non-uniform flexural rigidity (EI). This session covers the complete theory of the conjugate beam method, its relationship with the real beam, sign conventions, support transformations, and several solved numerical problems for competitive exams. 📚 Topics Covered Introduction to the Conjugate Beam Method Concept of the Imaginary (Conjugate) Beam Elastic Weight (M/EI Diagram) Relationship Between Real Beam and Conjugate Beam Shear Force ↔ Slope Bending Moment ↔ Deflection Mathematical Proof of the Conjugate Beam Method Sign Conventions Support Conditions of Real and Conjugate Beams Simply Supported Beam Problems Beam with Central Point Load Beam Carrying a Central Couple Cantilever Beam with Variable Moment of Inertia (EI) Propped Cantilever Beam End Conditions and Internal Conditions of Conjugate Beams Step-by-Step Solved Numerical Examples 🎯 Useful For GATE Mechanical Engineering ESE (IES) Mechanical Engineering SSC JE Mechanical Engineering RRB JE State AE/JE Examinations B.Tech & Diploma Mechanical/Civil Engineering Students Strength of Materials (SOM) If this lecture helps you, don't forget to: 👍 Like the video 💬 Share it with your friends 🔔 Subscribe for more Mechanical Engineering lectures. #StrengthOfMaterials #ConjugateBeamMethod #BeamDeflection #MechanicalEngineering #GATEMechanical #ESEMechanical #SSCJE #SOM #BeamAnalysis #StructuralAnalysis #EngineeringMechanics #ElasticCurve #DeflectionOfBeams #MechanicalClasses #CivilEngineering