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posted by  Homework 7.98 on 11/7/2009 11:46:35 AM  |  status: Closed  |  Earned Karma: 25

Stresses in thin-walled pressure vessels

Course Textbook Chapter Problem Needs by
Mechanics of Materials Mechanics of Materials (5th) by Beer, Johnston, DeWolf 7 98P 11/8/2009 at 6:00:00 PM
Question Details:
A basketball has a 300-mm outer diameter and a 3-mm wall thickness. Determine the normal stress in the wall when the basketball is inflated to a 120-kPa gage pressure.
For a spherical vessel:
σ1=σ2=     and      τmax=σ1=

*The answer should be 2.94MPa
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Novice
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posted by rr_2006 on 11/8/2009 3:23:08 PM  |  status: Live
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Response Details:
first solve for radius r=1/2(Diamter outer - thickness)
r=1/2(0.3m-0.003m)
r=0.1485m

then plug and chug:

sigma=Pr/(2t)
sigma=[120000N/m2 X 0.1485m] / [2 X 0.003m]
simga= 2,970,000
or sigma = 2.97 MPa
Oracle
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posted by PhysicsPhanatic on 11/8/2009 10:41:47 PM  |  status: Live
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Response Details:
swb07c
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