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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