ME 211 Homework 10 Solutions

# ME 211 Homework 10 Solutions - Problem#114.5...

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ME 211 Homework Set #10 Solutions 11‐14‐2008 Problem #1 14.5 Two hemispheres having an inner radius of 2ft and wall thickness of 0.25in. are fitted together, and the inside gauge pressure is reduced to ‐10psi. If the coefficient of static firction is μ s =0.5 between the hemsipheres, determine (a) the torque T needed to initiate the roation of the otp hemisphere relative to the bottom one, (b) the vertical force needed to pull the top hemisphere off the bottom one, and (c) the horizontal force needed to slide the top hemisphere off the bottom one. 1.) Draw the FBD and break the piece down into parts of which you can find the area and the centroid.

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2.) Determine the normal force 3.) Determine the force of friction Part(a) – The required torque: In order to initiate rotation of the two hemispheres relative to each other, the torque must overcome the moment produced by the friction force about the center of the sphere. T = F f r = 2880 π (2 + 0.125/12) = 18190 lb * ft = 18.2 kip * ft Part(b) – The required vertical force: In order to just pull the two hemispheres apart, the vertical force P must overcome the normal force.
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• Fall '07
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• vy, Rear wheel drive vehicles, Apressurevesselheadisfabricatedbygluingthecircularplatetotheendofthe vesselasshown.Ifthevesselsustainsaninternalpressureof450kPa,determine theaverageshearstressintheglueandthestateofstressinthewallofthevessel, Thechimneyissubjectedtotheuniformwindpressureofp=25lb/ft^2.Itistobe constructedwith1=ft=thickbrickwalls.Ifthebricksandmortarhaveaspecific weightof145lb/ft^3,determinethesmallestouterdiameterdofthechimneyso

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