Hertz contact theory can be used to determine the stresses due to contact between two spheres, which can be used approximate frictionless contact between the patellar and femoral components of a total knee replacement. Part a) Show on a sketch how the stresses at the surface vary from the centre of contact to the edge of contact. Part b) Make a sketch of an infinitesimal element of material at the centre of contact that shows the stress components. Identify the maximum principal stress, and write an expression for the maximum shear stress. Part c) Sketch a graph that shows how the maximum contact pressure varies with load and in a sentence explain why the curve has the shape it does.
Hertz contact theory can be used to determine the stresses due to contact between two spheres, which can be used approximate frictionless contact between the patellar and femoral components of a total knee replacement. Part a) Show on a sketch how the stresses at the surface vary from the centre of contact to the edge of contact. Part b) Make a sketch of an infinitesimal element of material at the centre of contact that shows the stress components. Identify the maximum principal stress, and write an expression for the maximum shear stress. Part c) Sketch a graph that shows how the maximum contact pressure varies with load and in a sentence explain why the curve has the shape it does.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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
Transcribed Image Text:Hertz contact theory can be used to determine the stresses due to contact
between two spheres, which can be used approximate frictionless contact
between the patellar and femoral components of a total knee replacement.
Part a) Show on a sketch how the stresses at the surface vary from the centre of
contact to the edge of contact.
Part b) Make a sketch of an infinitesimal element of material at the centre of
contact that shows the stress components. Identify the maximum principal stress,
and write an expression for the maximum shear stress.
Part c) Sketch a graph that shows how the maximum contact pressure varies with
load and in a sentence explain why the curve has the shape it does.
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