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
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PDF
Formula Sheet - Strength of Materials
Link : https://elementaryengineeringlibrary....
SFD & BMD Simplified: A Step-by-Step Visual Guide to Beam Analysis
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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
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