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

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.

11 sections

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Sections

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  1. 1
    Introduction To Torsion

    Torsion involves the twisting of a structural member under torque, leading...

  2. 2
    Torsional Shear Stress

    Torsional shear stress is the internal shear stress experienced by a...

  3. 2.1
    Shear Stress Formula

    The shear stress formula for circular shafts under applied torque...

  4. 2.2
    Solid Circular Shaft Formula

    This section discusses torsion in solid circular shafts, detailing formulas...

  5. 2.3
    Hollow Circular Shaft Formula

    This section outlines the formulas and principles related to the torsion of...

  6. 3
    Angle Of Twist And Torsional Deformation

    This section defines the angle of twist and the resulting torsional...

  7. 4
    Stepped Shafts

    This section discusses the concept of stepped shafts, focusing on their...

  8. 5
    Torsion In Shafts Fixed At Both Ends

    This section discusses the torsion in shafts fixed at both ends, emphasizing...

  9. 6
    Stresses And Deflection In Helical Springs

    This section covers the behavior of helical springs under axial loads,...

  10. 6.1
    Shear Stress

    This section discusses shear stress in circular shafts, deriving equations...

  11. 6.2

    This section discusses the deflection in structural members due to torsion...

What we have learnt

  • Torsion is the twisting of structural members caused by applied torque.
  • The shear stress in a circular shaft can be calculated using the formula τ = Tr/J.
  • The angle of twist is determined by the relationship θ = TL/GJ, applying to various shaft configurations.

Key Concepts

-- Torsion
The twisting of a structural member when subjected to an external torque.
-- Torsional Shear Stress
The shear stress experienced by a shaft at a given radius due to applied torque.
-- Angle of Twist
The angular deformation experienced by a shaft under the effect of torque.
-- Stepped Shafts
Shafts composed of multiple sections with varying diameters or materials, where the total twist is calculated as the sum of individual twists.
-- Helical Springs
Springs that behave as torsional elements when under axial load, characterized by specific shear stress and deflection formulas.

Additional Learning Materials

Supplementary resources to enhance your learning experience.