I. General: I Segmental Komposit 5 40.000 M 20.0 CM 0.000 M 1.850 M
I. General: I Segmental Komposit 5 40.000 M 20.0 CM 0.000 M 1.850 M
I. GENERAL 40.60 m
                                                                                              x
                                                             210.0 cm
40.00 m
                                                                                                                                                                                              20.0
                                                                    60.0                                                                              60.0
                                                                                                    7.0                                                                                        7.0
                                                                    80.0                           13.0                                               80.0                                    13.0
12.0 12.0
20.0 20.0
25.0 25.0
                                                                                                   25.0                                                                                       25.0
                                                                    70.0                                                                              70.0
                                                                                              Precast                                   Komposit
                                                                            bef :                                                          154.8 [cm]
                                                                             h :                  210.0        [cm]                        230.0 [cm]
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COPYRIGHT PT VSL INDONESIA                                                                                                                                                                                       PAGE 1 OF 11
                                    Project name       :
                                    ref. number        :                                                            Stressing at fci'=       80.0 % fc'
                                    Location           :                                           2ScSc5-19 & 1ScSc5-12 & 1ScSc5-11    (61 strands)
                                    Beam length        :       40.600 m                                                     JF = 75.8 % UTS
                                    Date               :       13-Mar-17                prepared by :  TY                                               Deflection: OK !
V. LOADS,and related MOMENTS at the middle of span (and at x for segemental beam)
                                                               For L =                             40.000 m
                                                                                                                         pr =            1.925 ton/m/way.
                                                                                                                      or pr = s . p/2.75       ton/m per girder.
                                                                                                                            =            1.295 ton/m per girder.
                                                           * Loading reduction factor                          D         a=              1.000
                                                           * For moment calculation
                                                                                                                            p = a . pr
                                                                                                                              =            1.295 ton/m per balok.
                                                                                                                            P = a . K . Pg
                                                                                                                              =            11.302 ton per balok.
                                                                         MLL = p.L^2/8 + P.L/4
                                                                              =        372.018 ton-m.                                        at x= 363.648 tm
                                                           * For shear calculation
                                                                                                                            p = a . pr
                                                                                                                              =             1.295 ton/m per girder.
                                                                                                                            P = a . K . Pg
                                                                                                                              =            11.302 ton per girder.
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COPYRIGHT PT VSL INDONESIA                                                                                                                                                                                         PAGE 2 OF 11
                                    Project name        :
                                    ref. number         :                                                        Stressing at fci'=       80.0 % fc'
                                    Location            :                                       2ScSc5-19 & 1ScSc5-12 & 1ScSc5-11    (61 strands)
                                    Beam length         :     40.600 m                                                   JF = 75.8 % UTS
                                    Date                :     13-Mar-17              prepared by :  TY                                               Deflection: OK !
                                    VI. ANALYSIS
                                    6.1. Prestressing force
                                        Top fiber :
                                                              t = Pi/Ac - Pi.e/Wt + Msw/Wt        =>                                    -14.9
                                                                                                                  Pi <=             1110.098 ton.                                          ..... (1)
                                        Bottom fiber:
                                                              b = Pi/Ac + Pi.e/Wb - Msw/Wb         <=                                  189.9
                                                                                                                  Pi <=              801.226 ton.                                          ..... (2)
From (1) dan (2) obtained Pi <= 801.226 ton. ..... (3)
From (4) and (5) obtained Pe => 575.210 ton. ..... (6)
                                    6.2.1.3. Draw-in
                                                        draw-in influence distance at cable,
                                                        xd = SQR(dr . Ep . Ap / m)
                                                        where :
                                                        dr = draw-in occurred of used system,
                                                               at VSL system, draw-in is                                                       =             0.006 m.
                                                        Ep = Elasticity of prestressing steel
                                                              For used strand,                                                             Ep =          1.95E+6 kg/cm2.
                                                        Ap = total area of used strands,
                                                             namely                                                                            =            60.213 cm2.
                                                        m = inclination of force from diagram,
                                                           = 2(Pa - P2)/Lb                                                                     =            2550.2 kg/m.
                                                        Then, obtained
                                                                              xd =            16.621 m.
                                                        Hence,
                                                                              P1 =          753.385 ton.
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COPYRIGHT PT VSL INDONESIA                                                                                                                                                                                               PAGE 3 OF 11
                                    Project name     :
                                    ref. number      :                                                             Stressing at fci'=       80.0 % fc'
                                    Location         :                                            2ScSc5-19 & 1ScSc5-12 & 1ScSc5-11    (61 strands)
                                    Beam length      :     40.600 m                                                        JF = 75.8 % UTS
                                    Date             :     13-Mar-17                   prepared by :  TY                                               Deflection: OK !
                                                                            P2 =               786.388 ton.
                                                                            P3 =               737.816 ton.
                                                                         Pave =                765.289 ton.
                                                                         T2pi =                12709.7 kg/cm2.
                                    6.2.1.4. Elastic shortening of concrete
                                                             dTpe = n.Tst/2
                                                                  i = (I/Ac)^0.5
                                                                   =                     74.040 cm.
                                                                Ke = (Ap/Ac) (1+e^2/i^2)
                                                                    =                             0.020
                                                                  n=                   Ep/Ec
                                                                    =                             5.419
                                                             dTpe' =                   n.Ke.Tpi/(1+n.Ke)
                                                                  =                     1222.6 kg/cm2.
                                                           Due to selfweight of beam;
                                                               M=                      374.750 ton-m.
                                                            dTpe =            ((dTpe')-(n.M.y/I))/2
                                                                   =                              391.4 kg/cm2.
                                                               P2i =                   P2 - Ap.(dTpe)
                                                                    =                          762.823 ton.
                                    6.2.2. Long term losses
                                    6.2.2.1. Shrinkage
                                                                     dTsh =            Ep.Eb.ke.kh.kp
                                            Theoritical thickness of beam =                                                                                306 mm.
                                                          From Australian Standard 1481-1978 determined;
                                                                        Ep =       1.97E+6 kg/cm2.
                                                                            Eb =               4.00E-4 for humidity           =                            70.0 %.
                                                                                ke =              0.649
                                                                                kh =           0.910 for stressing after =                                 14.0 days
                                                                                kp = 100/(100+20.)      where  = percentage of rebar.
                                                                                       rebar chosen, diameter
                                                                                                                                  D =                        13 mm.
                                                                                                                            number =                         22 nos
                                                                                                                           hence,  =                     0.39 %.
                                                                                   =           0.928
6.2.2.2. Creep
                                                                         dTc = kc.kd.ke.kh.Ep.Tci/Ec
                                                           where;
                                                                                kc =               1.10 for humidity          =                            70.0 %.
                                                                                kd =              1.200 for stressing after   =                            14.0 days
                                                                                ke =              0.649
                                                                                kh =              0.910
                                                                            Ep =               1.97E+6 kg/cm2.
                                                                            Ec =               3.64E+5 kg/cm2.
                                                                            Tci =                 147.1 kg/cm2.
                                                                         dTr = Fr.R.Tpi.[1-2.(dTsh+dTc)/Tpi]
                                                                                Pi =           762.823 ton.
                                                                                          66.9 % UTS -->                                    Fr =       1.844
                                                           For low-relaxation strand, pure relaxation
                                                                          R=                2.5 %.
                                                                         Tpi =        12668.7 kg/cm2.
                                                                    dTsh+dTc =                   1052.8 kg/cm2.
* At service condition;
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COPYRIGHT PT VSL INDONESIA                                                                                                                                                                    PAGE 4 OF 11
                                    Project name      :
                                    ref. number       :                                                                 Stressing at fci'=       80.0 % fc'
                                    Location          :                                                2ScSc5-19 & 1ScSc5-12 & 1ScSc5-11    (61 strands)
                                    Beam length       :      40.600 m                                                           JF = 75.8 % UTS
                                    Date              :      13-Mar-17                      prepared by :  TY                                               Deflection: OK !
                                                      2. AT SUPPORT
                                                       * Immediately after transfer;
* At service condition;
                                                             pu = fp*(1-k1*k2/j)
                                                                                     k1 =              0.400
                                                                                     k2 = 1/(bef*dp*fc')*{Apt*fp + (Ast - Asc)/fsy}
                                                                                =                      0.114
                                                          0.85 - 0.007*(fc'-28) =                      0.843
                                                                                 j     =               0.843
                                                                                 =              17968.273 kg/cm2.
                                                                             T =                  1081.925 ton.
                                                                                                                              bv =            11.10 cm.
                                                                                                                           0.8h =            168.00 cm.
                                                                                                                             bw =             20.00 cm
                                                                                                                                              Shear               Moment
                                                                                                                                               [ton]               [ton-m]
                                                                          Vc = 0.2 * fc' * bv * d + Pv
                                                                 Pv = dy/dx * Pe =                50516.01 kg.
                                                                                 Vc =            251540.65 kg.
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COPYRIGHT PT VSL INDONESIA                                                                                                                                                                            PAGE 5 OF 11
                                    Project name      :
                                    ref. number       :                                                        Stressing at fci'=       80.0 % fc'
                                    Location          :                                       2ScSc5-19 & 1ScSc5-12 & 1ScSc5-11    (61 strands)
                                    Beam length       :     40.600 m                                                   JF = 75.8 % UTS
                                    Date              :     13-Mar-17              prepared by :  TY                                               Deflection: OK !
                                                      Vc = V t + P v
                                                                   Vt = 0.3*((fc')^0.5 + fpc)*bv*d =             92782.55 kg.
                                                      Vc                                               =        143298.56 kg.
                                                                                   DLA=0.3
                                                                                   4.7                                  19.0                        19.0                 (ton).
                                                                                                                 40.0          m.
                                                                   16.0                              4.0                            5.0                    15.0          (m).
                                    IX. Resume
                                                      Prestress force:
                                                                                                      Pi =                             762.823 ton,          or                   66.87 % UTS.
                                                                                                     Pe =                              670.118 ton,          or                   58.75 % UTS.
                                                                                                     PJF =                             864.080 ton,          or                   75.75 % UTS.
                                                      Elongation of strand due to stressing                 =                              275 mm.
                                    X. Rotation at support
                                                      At service condition: 1DL+1LL+1PT
                                                      R= 0.005776 rad
                                    XIII. Quantity
                                                            Weight of beam =                      76.07 t
                                                            Weight of strand =                     2.01 t
                                                            Concrete volume=                      30.43 m3
                                                              Strand content=                     66.18 kg/m3
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COPYRIGHT PT VSL INDONESIA                                                                                                                                                                                     PAGE 6 OF 11
Longitudinal deformation
due to elastic, shrinkage, creep and thermal strains
Elastic shortening
Shrinkage
Creep
            Lc=.L                                        =       1.600    (t=28days)
            =(f/Et).          Et=K0+0.2.fcu.28          K 0=     20.000 kN/mm2
                                                        fcu.28=    50.000 Mpa
                      =    3.36E-04                       Et=     30.000 kN/mm2
                                                   stress, f=       0.006 kN/mm2
                  Lc=        13.65 mm
Thermal
            LT=.T.L                                    T=      15.000 oC
                                   =     1.20E-05 /oC
         LT=    7.31 mm
Resume
         Le=    9.27   mm   (-)
         Ls=    8.63   mm   (-)
         Lc=   13.65   mm   (-)
         LT=    7.31   mm   (!)
                                        ("-"=shortening)
                                        ("!"=reversible)
                               70.000
                              600.000
                                  150        300        600
                        20    450.000    375.000    325.000
IF(J14=150,if(J13=20,   30    440.000    370.000    310.000
                        40    420.000    360.000    300.000
                        50    400.000    350.000    280.000
                        60    375.000    330.000    250.000
                        70    325.000    280.000    230.000
                        80    240.000    210.000    175.000
                        90     25.000     20.000     15.000
                        100   -200.000   -200.000   -200.000
Project name       :
ref. number        :                                                                           Stressing at fci'=       90.0 % fc'
Location           :                                                                        4ScSc5-12+1ScSc5-7     (55 strands)
Beam length        :     34.600 m                                                                      JF = 79.0 % UTS
Date               :     13-Mar-17                prepared by :             SUF                                                       Deflection: OK !
I. GENERAL 34.60 m
                                                              x
                         160.0 cm
34.00 m
II. MATERIALS
2.1. Concrete
                                                                                                           Beam                             Slab
                       * Concrete grade :                              cube strength, fcu :                   800   [kg/cm2]                275      [kg/cm2]
                                                                    cylinder strength, fc' :                  664   [kg/cm2]                228      [kg/cm2]
2.2. Steel rebar
                   *     Diameter <     13 mm,                              BjTp -                             24
                                                                                     fy =                  2400     [kg/cm2]
                   *     Diameter >= 13 mm,                                 BjTd -                           40
                                                                                     fy =                  4000     [kg/cm2]
                                                                                                                                                                    (
IV. CROSS SECTION of GIRDER
                                                                                                              bef = 117.3
23.0
                                                                                                                    45.0                                      7.0
                                55.0                                12.4                                            55.0                                     12.4
LAYER 2
                                                                  Precast                              Komposit
                                          bef :                                                           117.3 [cm]                                space           strand
                                          h :                      160.0          [cm]                    190.0 [cm]                                        0.000            0
                                          Ac :                    4770.1          [cm2]                  7782.0 [cm2]             Layer6                 10.000              0
                                        Y top :                     88.9          [cm]                        77.9 [cm]           Layer5                 10.000              0
                                     Y bottom :                     71.1          [cm]                    112.1 [cm]              Layer4                 10.000              0
                                          Ix :           14591536.2               [cm4]             36396620.0 [cm4]              Layer3                 10.000              0
                         W top composite :                    -                   [cm3]                466923.7 [cm3]             Layer2                 10.000          11
                           W top precast :                 164100.7               [cm3]                759056.3 [cm3]             Layer1                 10.000          50
                                W bottom :                 205278.1             [cm3]          324824.3 [cm3]                     soffit
                                                                            4ScSc5-12+1ScSc5-7