Mechanics of Deformable Solids | Torsion and Twist by Pavan | Learn Smarter
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Torsion and Twist

The chapter covers the concept of torsion, focusing on the mechanics of twisting structural members, particularly shafts, under torque. It delves into the calculations of torsional shear stress, angle of twist, and deformation, highlighting the behavior of both solid and hollow shafts. Additionally, the chapter explores the complexities of stepped shafts, the effects of fixed supports, and the analysis of helical springs under axial loads.

Sections

  • 1

    Introduction To Torsion

    Torsion involves the twisting of a structural member under torque, leading to shear stress and angular deformation.

    Learning Practice

  • 2

    Torsional Shear Stress

    Torsional shear stress is the internal shear stress experienced by a circular shaft when subjected to external torque, affecting its structural integrity.

    Learning Practice

  • 2.1

    Shear Stress Formula

    The shear stress formula for circular shafts under applied torque illustrates how shear stress is distributed across the shaft's radius.

    Learning Practice

  • 2.2

    Solid Circular Shaft Formula

    This section discusses torsion in solid circular shafts, detailing formulas for shear stress and angle of twist.

    Learning Practice

  • 2.3

    Hollow Circular Shaft Formula

    This section outlines the formulas and principles related to the torsion of hollow circular shafts, including key parameters such as shear stress, polar moment of inertia, and the angle of twist.

    Learning Practice

  • 3

    Angle Of Twist And Torsional Deformation

    This section defines the angle of twist and the resulting torsional deformation in circular shafts subjected to torque.

    Learning Practice

  • 4

    Stepped Shafts

    This section discusses the concept of stepped shafts, focusing on their analysis under torque and the calculation of total twist from individual sections.

    Learning Practice

  • 5

    Torsion In Shafts Fixed At Both Ends

    This section discusses the torsion in shafts fixed at both ends, emphasizing the importance of deformation compatibility.

    Learning Practice

  • 6

    Stresses And Deflection In Helical Springs

    This section covers the behavior of helical springs under axial loads, focusing on shear stress and deflection calculations.

    Learning Practice

  • 6.1

    Shear Stress

    This section discusses shear stress in circular shafts, deriving equations related to torsion, shear stress, angle of twist, and the mechanical behavior of helical springs.

    Learning Practice

  • 6.2

    Deflection

    This section discusses the deflection in structural members due to torsion and provides equations to calculate shear stress, angle of twist, and deflection in helical springs.

    Learning Practice

References

Module V_ Torsion and Twist.pdf

Class Notes

Memorization

What we have learnt

  • Torsion is the twisting of ...
  • The shear stress in a circu...
  • The angle of twist is deter...

Final Test

Revision Tests