Project 2 Final Submission

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    Project II

    ME370: Mechanical Design

    Spring 2010

    Zachary Katz

    Greg Ledva

    Michael Kniney

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    Bearing Reaction Force Calculation

    R=Hydrodynamic Rxn ForceR=Angular Contact Rxn FoceFy=0 20+100 = R + R

    M=0 20(2.925)+100(8.475)=R(6)

    R(y)=151 lbs

    R(y)=-31 lbs

    Fz=0 10 = R + R

    M=0 10(2.925)=R(6)

    R(z)=4.9 lbs

    R(z)=5.1 lbs

    Total Hydrodynamic Reaction Force is 31.4 lbs in the radial direction

    Total Angular Contact Reaction Force is 151.1 lbs in the radial direction (split between 2 bearings)

    Additional 5 lbs load in the axial direction on angular contact

    Hydrodynamic Bearing Calculations

    X value can be found using the given stiffness of 100,000 psi and the force in that direction, 20 lbs.

    100lbs

    20lb

    s

    5lbs10lbs

    R

    2R1

    2.925" 6" 2.475"y

    xz

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    U= Dn= (1.8)(2500rpm)160 =235.6 in/sec

    Note: we set D=1.8 from inner diameter of pump sleeve

    = 7.2reyns for VG32 @ 80F

    Note: 1 reyns = 1x10 (lb in/sec)

    P=31.4 lbs (found previously)

    Now, use eq(1) to find L= ( 34 2 )L=1.678 in

    Hydrodynamic Power Loss Calculation:Ts=

    2(21)

    12.5 = 4.83 in lb

    Note: because our journal sleeve is stationary, U1=0, and U2=U (from previous)

    Tr=Ts+Pe(sin ), where P=31.4 lbs, e=.0001345, and = arcsin12)

    4

    Tr=4.82+(31.4)(.0001345)sin(1.51) = 4.824 in lb

    Power loss = = Tr* = (4.825)(261.8 )=1263 in lb/sec = 0.19 hp

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    P=81 lbs

    L= 3

    3

    C=(13140)(81) = 1911 lbs = 8500 N

    As a result, every bearing in the BNRS19 series satisfies our loading conditions.

    So, we chose a bearing that fits well with our shaft and sleeve of a 45mm ID:

    45BNRS19

    From the Catalogue, the dimensions of the bearing are:

    ID=45mm

    OD=68mm

    B=12mm

    Rmin(fillet)=0.6mm

    R1min(fillet)=0.3mm

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