Sample Calculatio for Design of Structures and Foundations for Vibrating Machines

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    5.0 BLOWER FOUNDATION (551-B-1001/2001/3001/4001)

    5.1 General Sketch

    Combined C.G

    X direction

    Y direction

    C.G of Machine

    [ unit : m ]

    200

    Z direction G.L

    X direction [ unit : m ]

    1.406

    0.000

    3.000

    3.000

    P L A N

    1.945

    0.000

    10.000

    TOG EL.+100,

    3.645

    1.784

    0.294

    5.346

    1.443

    10.000

    0.000

    5.069

    1.216

    AXISOFROCKING

    0.000

    3.550

    S E C T I O N

    1.850

    0.200

    1.000

    0.500

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    5.2 The Soil and Foundation Parameters

    Allowable Soil Beraing

    Shear Modulus, G

    Soil Internal damping Ratio

    Poisson's Ratio,

    Unit Weight (Soil)

    Unit Weight (Con'c)

    5.3 Foundation Data

    Height (h)

    Thickness of Grout

    5.4 Equipment Data

    =

    =

    =

    =

    =

    5.5 Machine Data

    (1) For values for Equipment

    R.P.M

    Rotor Weight

    Unbalanced Force

    ton

    C.A.BLOWER - 2242

    C.A.BLOWER - 3.670

    C.A.BLOWER - 0.072

    ton

    rpm

    ton

    MOTOR - 1490

    m

    m

    0.040

    17.000

    m

    kN/m

    0.321

    Pedestal Height (PH)

    rpm

    kN

    m

    m

    Weight of Motor (Wm)

    1.200

    0.025

    m

    25.506

    0.500

    ton

    ton

    ton6.000

    m

    304.110 kN

    kN

    kN

    58.860 kN

    200.000

    24.000

    82579.233

    kN/m

    Item No.

    Footing Width (FL)

    551-B-1001/2001/3001/4001

    m

    kN/m

    kN/m

    3.000

    ton

    Ground Level (G.L.)

    Footing Length (FB)

    Footing Height (FH)

    Pedestal Width (PL)

    Pedestal Length (PB)

    Weight of C.A.BLOWER (Wc) 127.530

    92.214

    Total Weight (Wt) 31.000 ton

    Weight of Base Plate (Wb)

    Weight of Silencer (Ws)

    ton

    10.000

    3.000

    0.200

    1.700

    m10.000

    13.000

    2.600

    9.400

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    (2) For dimensions of Equipment & Foundation

    C.G from machines bottom to Machine center

    C.G of Shaft from machines bottom (C.Gshaft)

    C.G from Pedestal Edge to Machine Center (X-direction) (Edx)

    C.G from Pedestal Edge to Machine Center (Y-direction) (Edy)

    6.0 CHECK FOR BLOWER FOUNDATION DESIGN

    6.1 The Mass Ratio of Blower Foundation

    (1) Foundation Weight Pedestal (Wcp)

    Footing (Wcf)

    = [(FL FB FH) + (PL PB PH)] Unit Weight (Con'c)

    = [(3.000 m 10.000 m 0.500 m) + (3.000 m 10.000 m 1.200 m)] 24.000

    = kN

    (2) Machine Weight

    = Weight of Blower + Weight of Motor + Weight of Base Plate + Weight of Silencer

    = 127.530 + 92.214 + 25.506 + 58.860

    = kN

    (3) Mass Ratio

    = / >

    = / >

    = >

    6.2 The Minumum Thickness of Concrete Foundation

    - Thickness (= FH + PH) 0.6 + FB / 30 (m)

    0.933

    OK!!

    Wc

    360.000 kN

    OK!!

    0.6 + FB / 30 (m)Length ( = FB)

    (m)

    Thickness ( = FH + PH)

    (m)

    1.700

    3.0

    864.000 kN

    Item No.

    551-B-1001/2001/3001/4001 10.000

    (m)

    3.0

    4.025

    R

    304.110

    Wm

    1.850

    3.0

    Wc

    m

    m

    m

    1.945 m

    5.346

    Wm

    304.110

    1224.000

    1224.000

    1.216

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    6.3 The Width of Concrete Foundation

    - FL 1.5 Vertical Distance from The Base to the Machine Centerline

    6.4 Allowable Soil Bearing Pressure (Static)

    [kN/m]

    = 1,528.110 / 30.000

    = kN/m

    Where,

    = [kN/m]

    = 0.750 200.000

    = kN/m

    = Allowable soil capacity for static case.

    = kN/m

    = + [kN]

    = 1,224.000 + 304.110

    = kN

    = 0.25 Wm (FH + PH + G. [kN-m]

    = 0.250 304.110 (0.500 + 1.200 + 1.850)

    = kN-m

    = FB FL [m]

    = 10.000 3.000

    = m

    OK!!

    OK!!

    1.5 C.G

    2.775

    QItem No.

    Q = 0.750 Qa

    (kN/m)

    Q =Wt

    Area

    51-B-1001/2001/3001/400 50.937

    51-B-1001/2001/3001/400

    150.000

    269.898

    (kN/m)

    Length ( = FL)

    (m)Item No.

    (m)

    A

    30.000

    3.000

    150.000

    1528.110

    50.937

    Wm

    Qas

    Mx

    Qa 0.750

    Wt

    200.000

    Qas

    Wc

    (JERES-Q-007 Section 9.3)

    Low-tuned Foundations

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    6.5 Allowable Eccentricities for Concrete Foundations

    = + = kN

    = [(304.110 1.216) + (864.000 1.500) + (360.000 1.500)] / 1,528.110 = m

    Eccentricity(X-dir) = (1.500 - 1.443) 100 / 3.0 = < %

    = [(304.110 5.346) + (864.000 5.000) + (360.000 5.000)] / 1,528.110 = m

    Eccentricity(Y-dir) = (5.000 - 5.069) 100 / 10. = < %

    = [(304.110 3.645) + (864.000 1.100) + (360.000 0.250)] / 1,528.110 = m

    6.6 Rebar Check

    a = @ 200

    c = @ 200

    b = @ 200

    5.069

    1.443

    1.884

    OK!!

    5.000

    Y'

    Wt 1528.110Wc

    X'

    a (mm)cb Top (mm) Bottom (mm)

    Rebar Dia.

    Wm

    Z' 1.406

    D20 D20 D12 1350.000

    Use AS

    5.000

    OK!!

    Req'd AS= 0.0018 b (H / 2)

    OK!!

    1350.000 5024.000

    0.689

    Item No.

    551-B-1001/2001/3001/4001

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    "Dynamic Analysis.xls"

    Job Name: Subject:

    Job Number: Originator: TYP Checker:

    1.0 Machine Data

    Blower Blower =

    Motor Motor =

    Unbalanced Force Blower = Motor =

    Moment by U.F Blower = Motor =

    1.1 Centrifugal Force (Fo)

    1) F0 = (W / g) e w = (W / g) e w

    = 64,750.000 / 981.0 0.00588 234.7 = 0.000 / 981.0 0.00721 234.780= N = N

    = kN = kN

    Where,

    g = cm/sec = cm/sec

    w = (RPM 2 / 60) = (RPM 2 / 60)

    = 2,242 2 / 60 = 1,490 2 / 60

    = rad/sec = rad/sec

    e = (12000 / RPM) 0.0025 (cm) = (12000 / RPM) 0.0 (cm)

    (Maximum) = (12000 / RPM) (mil) = (12000 / RPM) (mil)

    = 1.000 (12000 / 2,242) = 1.000 (12000 / 1,490)

    = (mil) = (mil)= cm = cm

    Weight of Rotor of Blower Weight of Rotor of Motor

    Wr = 1.000 = 0.000

    = ton = ton

    = kN = kN

    Wc = Weight of C.A.BLOWER = 13.000 ton = kN

    Wm = Weight of Motor = 9.400 ton = kN

    Wb = Weight of Base Plate = 2.600 ton = kN

    Ws

    = Weight of Silencer = 6.000 ton = kN

    2) F0 = Factor W (rpm / 1000)1.5 = Factor W (rpm / 1000)

    1.5

    = 0.001 600.408 (2242 / 1000)^1 = 0.001 0.000 (1490 / 1000)^1.5

    = kN = kN

    = ton = ton

    R.P.M Rotor Weight

    0.405 ton

    0.600 ton

    0.000 ton

    For Motor

    0.205

    0.000

    For Motor

    0.205

    0.000

    92.214

    25.506

    0.000

    For Blower

    981

    234.780

    2.314

    1490 rpm

    For Blower

    234.780

    0.000 ton

    DYNAMIC ANALYSIS

    Design of Structures and Foundations for Vibrating Machines

    981

    64.750

    For Block Foundation (Centrifugal Machinery)

    127.530

    58.860

    2.016

    1.000 (mil)

    2.838

    0.000

    0.000

    0.00721

    2242 rpm

    21384.054

    21.384

    0.00588

    6.600

    1.437 ton-m 0.000 ton-m

    (Wc(rotor)+ Ws) (Wm(rotor))