Mathcad - Perhitungan LPA Sp 11610 mm x Rs 4320 mm x 7 mm t=10,8 m

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Mathcad - Perhitungan LPA Sp 11610 mm x Rs 4320 mm x 7 mm t=10,8 m

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  • DATA PERHITUNGAN

    I. Data Tanah Urug

    Berat Jenis Tanah : soil 1.75tonne

    m3:=

    II. Data Corrugated Steel

    Data dari katalog (Brosur) :

    Type Corrugated : Type Multi Plate Super Span Low Profile Arch

    Bentang Atas : Sca 11.610 m:=

    Bentang Bawah :Scb 11.510m:=

    Tinggi : Tc 4.32 m:=

    Tebal Plat : tc 7 mm:=

    Keliling : kc 16.215 m:=

    Luas / segmen : Ac 40.3 m2:=

    Radius Atas : Ra 7.544m:=

    Radius Bawah : Rb 7.544m:=

    Radius Samping : Rs 2.675 m:=

    Ultimate Seam Strength :Uss 1630000Nm

    :=

    Sudut Atas : t 73 deg:=

    Sudut Base Channel : c 11deg:=

    Masa Strucktur :Wc 1296. kg:=

    Mutu Baja : fyc 2300kg

    cm2:= fyc 230 Mpa=

    Modulus Elastis : E 200 103 Mpa:=

    Berat jenis beton : con 2.4tonne

    m3:=

    1

  • SK.SNI T-02-2005 :

    Lebar lajur : Sj 2.75m:= Max( ) SK.SNI T-02-2005Pasal 6.2 hal 17

    SNI 07-0950-1989 :

    Panjang tangen :l 24.7 mm:=

    Sudut : 47.7deg:=

    Momen Inersia :Ic 3200mm4

    mm:=

    Radius girasi : r 19.7 mm:=

    Momen perlawanan : Z 103mm3

    mm:=

    Luas penampang : Ap 8.3mm2

    mm:=

    Data Proyek :

    Panjang Struktur : Lc 7 m:=

    Tebal Tanah Timbunan :Hcs 10.8 m:=

    III.1. Load analysis :

    Dead Load (PDLtotal) :

    PDLtotal soil Hcs:= PDLtotal 1.89 104kg

    m2=

    Live Load (PLL) :

    Beban "D" :

    Beban jalur ("BTR") : DqL 9.Kpa:=

    DqL 900kg

    m2= SK.SNI T-02-2005

    Pasal 6.3.1 ayat 2 Hal. 18

    2

  • Beban jalur ("BGT") : DPL 49.kNm

    :=

    DPL 4.9 103kgm

    = SK.SNI T-02-2005Pasal 6.3.1 ayat 3 Hal. 18

    DPLtotalDPL

    Sj:=

    DPLtotal 1.782 103kg

    m2=

    Dimana :a1 = a2 = 30.00 cmb1 = 12.50 cmb2 = 50.00 cmMs = Muatan Rencana Sumbu = 20 Ton

    3

  • Sc

    Diagram Tegangan Arah Melintang

    1000

    Ls

    Diagram Tegangan Arah Memanjang

    Area distribusi beban (SA) :

    Ls 0.25 1.75+ 0.25 2+ 1+ 2 Hcs tan 45( )( )+:= 2 Hcs tan 45( )

    Ls 27.1 m:=

    4

  • Ws 0.2 2 Hcs tan 45( )( )+:= 2 Hcs tan 45( ) Ws 21.8 m:=

    SA Ls Ws:= SA 590.78m2=

    Beban "T" :

    Beban Truck (TLLtotal) : TLL 333.kN:= SK.SNI T-02-2005 Pasal 6.4.1Hal. 22

    TLL 3.33 104 kg=

    TLLtotalTLLSA

    := TLLtotal 56.366kg

    m2=

    Live Load Total : PLLtotal TLLtotal DqL+ DPLtotal+( )( ):=

    PLLtotal 2.738 103kg

    m2=

    III.2. Design Pressure (Pv) :

    Pv PDLtotal PLLtotal+( ) 0.85:=

    Pv 1.839 104kg

    m2= Australian Standard

    3703.2-1989 Sect 2.5.1Page 7

    III.3. Ring Compression (RC) :

    Australian Standard3703.2-1989 Sect 2.6.1Page 7

    RC Pv Ra:= RC 1.388 105kgm

    =

    III.4. Actual Stress (Fact) :

    FactRCAp

    := Fact 1.672 107kg

    m2=

    5

  • III.5. Ultimate Compressive Wall Stress (Fult) :

    Australian Standard3703.2-1989 Sect 2.7.2Page 7

    2 Rar

    765.888=2 Ra

    r294>

    So Fult34.36 106

    2 Ra( )r

    2:= Fult 115.033Mpa:=

    III.6. Apparent Ultimate Compressive Stress (Fua) :

    Australian Standard3703.2-1989 Sect 2.7.4Page 7

    Fua1802 t

    2Fult:= Fua 5.74 1010

    kg

    m2=

    Status if Fua Fact> "OK!", "Not OK!", ( ):=

    Status "OK!"=

    III.7. Allowable Compressive Stress (Fa) :

    FaFua

    2:= Fa 2.87 105 Mpa= Australian Standard

    3703.2-1989 Sect 2.7.6Page 7

    III.8. Check Shapes Area / Thickness (Aact) :

    AactRCFa

    := Aact 4.835 10 6- m= Australian Standard3703.2-1989 Sect 2.7.8Page 7Status if Aact Ap< "OK!", "Not OK!", ( ):=

    Status "OK!"=

    III.9. Check Handling Stiffness (Ffact) :

    Australian Standard2042-1984 Sect 2.7Page 19

    Ffmax 0.115mmN

    := For field assembled pipeswith bolt seams

    Ffmaxarch Ffmax 1.3:= Ffmaxarch 1.495 10 3-mkg

    =

    6

  • FfRa2

    E Ic:= Ff 8.892 10 4-

    mkg

    =

    Status if Ff Ffmaxarch< "Ok!", "Not Ok!", ( ):=

    Status "Ok!"=

    III.10. Allowable Seam Strength (Ass) :

    2:= For highway loading Australian Standard2042-1984 Sect 2.7Page 19Ass

    UssRC

    := Ass 0.587=

    Status if Ass 1 "Ok!", "Not Ok!", ( ):=

    Status "Not Ok!"=

    III.11. Check Minimum Cover (Hmin) :

    HminSca6

    := Hmin 1.935m= Australian Standard2042-1984 Sect 2.9.3Page 21Status if Hmin Hcs< "Ok!", "Not Ok!", ( ):=

    Status "Ok!"=

    Dibuat oleh :

    (Bagas)

    Di Check oleh :

    (Ade Darmawan)

    7