A hollow disc (Plane stress) of inner radius a and outer radius b, modulus of Elasticity E Poisson’s ratio v ,and density p, is co-centrically placed in an otherwise rigid housing to which a frictionless bearing is attachedto its inner surface as shown in the figure. An initial clearance 8 exists between the outer surface of the elasticallydeforming rotating disc and the inner lining of the frictionless bearing.(a) Determine the angular velocity o at which the disc comes in contact with the frictionless bearing.(b) If the angular velocity is further increased to @1> @, determine the pressure that develops between thefrinctionless bearing and the outer surface of the rotating disc.RigidFrictionlessbearingE, v

given datainner radius = aouter radius = bmodulus of elasticity = EPoissons ratio = νdensity = ρ

A hollow disc (Plane stress) of inner radius a and outer radius b, modulus of Elasticity E Poisson’s ratio v, and density p, is co-centrically placed in an otherwise rigid housing to which a frictionless bearing is attached o its inner surface as shown in the figure. An initial clearance & exists between the outer surface of the elastically leforming rotating disc and the inner lining of the frictionless bearing. a) Determine the angular velocity o at which the disc comes in contact with the frictionless bearing. b) If the angular velocity is further increased to @1> @, determine the pressure that develops between the frinctionless bearing and the outer surface of the rotating disc. Rigid -Frictionless bearing a E, v

A hollow disc (Plane stress) of inner radius a and outer radius b, modulus of Elasticity E Poisson’s ratio v, and density p, is co-centrically placed in an otherwise rigid housing to which a frictionless bearing is attached o its inner surface as shown in the figure. An initial clearance & exists between the outer surface of the elastically leforming rotating disc and the inner lining of the frictionless bearing. a) Determine the angular velocity o at which the disc comes in contact with the frictionless bearing. b) If the angular velocity is further increased to @1> @, determine the pressure that develops between the frinctionless bearing and the outer surface of the rotating disc. Rigid -Frictionless bearing a E, v

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.9.12P: A heavy flywheel rotating at n revolutions per minute is rigidly attached to the end of a shaft of...

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