Torsion of Circular Shafts Explained | SOM

Chapter 08 - Torsion of Circular Shafts Explained | SOM In this video, we build a clear conceptual understanding of torsion in circular shafts, one of the most important topics in Strength of Materials. We start from the basics — what torque really does to a shaft — and then develop an intuitive understanding of how shear stress develops due to twisting. You’ll see how stress varies across the cross-section, why it is zero at the center, and why it becomes maximum at the outer surface. We then derive and understand the key equations: Torsion equation: τ = Tr / J Angle of twist: θ = TL / GJ Along the way, we also explain: What shear stress and shear strain really mean Why material resists deformation (not inertia) What polar moment of inertia (J) actually represents Why radius has such a strong effect (J ∝ R⁴ for circular shafts) Finally, we connect theory to real engineering design by understanding: Why excessive stress leads to failure Why limiting angle of twist is important for machine performance Why hollow shafts are more efficient than solid shafts This video is designed for students of: Mechanical Engineering Civil Engineering Strength of Materials / Mechanics of Materials #ElementaryEngineering #EE #StrengthOfMaterials #Torsion #StrengthOfMaterials #MechanicalEngineering #ShearStress #AngleOfTwist #Torque #EngineeringMechanics #SOM #CivilEngineering #MachineDesign #HollowShaft #EngineeringConcepts _________________________________________________________________________ PDF Formula Sheet - Strength of Materials Link : https://elementaryengineeringlibrary.... SFD & BMD Simplified: A Step-by-Step Visual Guide to Beam Analysis Link : https://elementaryengineeringlibrary.... _________________________________________________________________________ TIMESTAMPS: 00:00 - Introduction 01:11 - What is a Shaft? 01:26 - What is Torsion and Torque? 01:58 - Torsional Shear Stress 03:25 - Stress in Shaft 06:00 - Torsional Shear Stress Formula 06:14 - Polar Moment of Inertia 07:27 - Angle of Twist of Shaft 07:52 - Angle of Twist Formula 08:03 - Modulus of Rigidity 09:53 - Hollow Shafts 12:47 - Reason for calculating Torsional Shear Stress and Angle of Twist _________________________________________________________________________ Read Torsion of Circular Shafts : https://elementaryengineeringlibrary.... Reference Books : https://elementaryengineeringlibrary.... _________________________________________________________________________ Support : Buy Me a Coffee : https://buymeacoffee.com/elementaryen... Patreon :   / elementaryengineering   Member on YT :    / @elementaryengineering   _________________________________________________________________________ Connect : Twitter :   / elementaryengg   E-mail : [email protected] Website : https://elementaryengineeringlibrary.... ------------------------------------------------------------------------------------------------------------------------ Disclaimer ------------------------------------------------------------------------------------------------------------------------ The content in this video is for informational and/or entertainment purposes only. It is not intended as professional advice. While the information shared is true and accurate to the best of my knowledge and research, errors or omissions may occur unintentionally. This video has been created solely to spread awareness and educate viewers. I strongly encourage you to do your own research and consult with a qualified professional before making decisions based on the information provided. Viewer discretion is advised regarding the products or services featured by sponsors on this platform. I do not claim any responsibility for the quality, reliability, or outcomes related to any sponsored products or services. ------------------------------------------------------------------------------------------------------------------------