21. Recap
The chapter discusses the principles of Extension, Torsion, and Inflation in a hollow cylinder, focusing on equilibrium equations, stress distribution, and deformation under various conditions. Key mathematical formulations are derived to describe the behavior of the hollow cylinder under pressure and torques, alongside graphical representations. The chapter also explores the effects of axial force and twisting moments on the structure, providing insights into material behavior in composite cylinders.
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Sections
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What we have learnt
- The equilibrium equations reveal relationships among stress, displacement, and applied loads in a hollow cylinder.
- Boundary conditions are crucial for solving differential equations related to stress and strain.
- The behavior of shear stress and shear strain varies linearly in the cross-section of a twisted cylinder.
Key Concepts
- -- Equilibrium Equations
- Mathematical expressions that describe the balance of forces and moments in a static system.
- -- Boundary Conditions
- Conditions imposed on the system at the boundaries to facilitate the solution of differential equations.
- -- Shear Stress and Strain
- The measure of internal forces acting parallel to a surface and the deformation caused by these forces.
- -- Composite Cylinder
- A structure made from two or more different materials, affecting the distribution of stresses and strains.
- -- Lame’s Constants
- Material constants that relate to the elastic properties of materials, useful in stress-strain relationships.
Additional Learning Materials
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