Contohurutanmengerjakantugas-kerjakan Yg Ini Dengan Excel

8/19/2019 Contohurutanmengerjakantugas-kerjakan Yg Ini Dengan Excel

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CONTOH URUTAN MENGERJAKAN TUGAS

1. Soal Tugas :

2. Persiapan Data :

Penomoran titik, batang dan koordinat :

Data Propertis batang :1. E=2.0e7 (ton/m2) A=0.08 (m2) I=8e-4 (m4)

Data Koordinat :No. Titik X Y

1 0 0

2 10 0

3 0 5

4 2 5

5 6 5

6 10 5


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Data Batang :No.

Batang

No.Titik

Kiri (bawah)

No.Titik

Kanan(bawah)

No.Propertis

1 1 4 1

2 2 6 1

3 3 4 1

4 4 5 1

5 5 6 1

Data Tumpuan :No.

Titik

Restraint

RX

Restraint

RY

Restraint

RZ

1 1 1 0

2 1 1 1

Data Beban Titik :No.Titik

BebanFX

BebanFY

BebanMZ

3 7 -6 0

5 0 -8 0

Data Beban Batang :


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Batang – 3 : q3=2 ton/m; L3=2mBatang – 4 : q4=2 ton/m; L4=4m

Batang – 5 : q5=2 ton/m; L5=4m

q=q3=q4=q5=2 ton/m

Ra3=q*L3/2; Rb3=Ra3; Ra4=q*L4/2; Rb4=Ra4;

Ra5=q*L5/2; Rb5=Ra5;

Ma3=1/12*q*L3^2; Mb3= -Ma3;

Ma4=1/12*q*L4^2; Mb4= -Ma4; Ma5=1/12*q*L5^2; Mb5= -Ma5;

Beban Merata pada Batang :

No.

Batang

Beban

FX1

Beban

FY1

Beban

MZ1

Beban

FX2

Beban

FY2

Beban

MZ2

UJUNG KIRI UJUNG KANAN

3 0 Ra3 Ma3 0 Rb3 Mb3

4 0 Ra4 Ma4 0 Rb4 Mb45 0 Ra5 Ma5 0 Rb5 Mb5


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3. Input Data File :%****PORTAL 2D---TEKNIK SIPIL UNISSULA SEMARANG---- %****nama file : ANDINI_portal1_k----oleh :trismantoro 15/10/2009---- %****struktur : portal satu tingkat

clear all clc

%****General Data--- type='p2d' nfile='ANDINI_portal1_k'

%****Property---i,E,A,I--- prop = [ 1 2.1e7 0.08 8e-4];

%****Coordinates--- %****--- Joint X Y ---

coord=[ 1 0 0 2 10 03 0 5 4 2 55 6 5

6 10 5 ];%****Element data--- %****--- Element J1 J2 prop---

element=[ 1 1 4 1 2 2 6 1 3 3 4 1 4 4 5 1 5 5 6 1];

%****Nodal Restraint--- %****---- Joint JR1 JR2 JR3---

Support=[ 1 1 1 0 2 1 1 1];

%****Joint Load--- %****---Joint FX FY MZ---

JL=[ 3 7 -6 0

5 0 -8 0]; %****Load Data---

q=2; L3=2; L4=4; L5=4; Ra3=q*L3/2; Rb3=Ra3; Ra4=q*L4/2; Rb4=Ra4; Ra5=q*L5/2; Rb5=Ra5; Ma3=1/12*q*L3^2; Mb3=-Ma3; Ma4=1/12*q*L4^2; Mb4=-Ma4; Ma5=1/12*q*L5^2; Mb5=-Ma5;

%**** AML=[ 3 0 Ra3 Ma3 0 Rb3 Mb3

4 0 Ra4 Ma4 0 Rb4 Mb4 5 0 Ra5 Ma5 0 Rb5 Mb5 ];

%****Call function for analysis portal 2d-------------------- [dof,index,coord,element]=FRAME2D_sdata(prop,element,coord,type); [S,Sm,SmS,Cx,Cy,RT,L,A,Joint,Xj,Xk,Yj,Yk]=FRAME2D_stiff...

(prop,element,coord,index,nfile); [IR,IF,Support]=FRAME2D_ldata(Support,dof); [DF,AR,AM]=FRAME2D_analysis_result...

(element,dof,index,IF,IR,S,Sm,JL,AML,RT,Support,type,nfile); [joint_disp,support_reaction,beam_endforces]=FRAME2D_print_result...

(JL,AML,dof,Support,element,IF,IR,DF,AR,AM,type,nfile); %****end data------------------------------------------------ %

FRAME2D_xplot %


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4. OutPut Program & Cek :

NAMAFILE_2.txt.Support Reactions :

Joint Rx Ry Mz

1 5.5606e+000 1.8964e+001 0.0000e+000

2 -1.2561e+001 1.5036e+001 3.2639e+001

Member End Forces : Member Fx1 Fy1 Mz1 Fx2 Fy2 Mz2

1 19.673 1.880 -0.000 -19.673 -1.880 10.1252 15.036 12.561 32.639 -15.036 -12.561 30.1643 7.000 -6.000 -0.000 -7.000 10.000 -16.0004 12.561 8.964 5.875 -12.561 -0.964 13.9815 12.561 -7.036 -13.981 -12.561 15.036 -30.164

.

NAMAFILE_4.txt.

.

Reaction of Supports :

{AR}IFx1 = -{ARC}IRx1 + [SRF]IRxIF {DF}IFx1

1 5.561e+000

2 1.896e+001

4 -1.256e+001

5 1.504e+001

6 3.264e+001

Cek Keseimbangan :


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5. Free Body; Bidang D,M,N :


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6. Perumusan Matriks Cara Manual

Matriks Kekakuan Elemen sb Lokal [SM]6x6Batang – 1 :E=... ; Ax=....; L=....; Iz=...

E*Ax/L 0 0 -E*Ax/L 0 00 12E*Iz/L^3 6E*Iz/L^2 0 -12E*Iz/L^3 6E*Iz/L^20 6E*Iz/L^2 4E*Iz/L 0 -6E*Iz/L^2 2E*Iz/L

-E*Ax/L 0 0 E*Ax/L 0 00 12E*Iz/L^3 -6E*Iz/L^2 0 12E*Iz/L^3 -6E*Iz/L^20 6E*Iz/L^2 2E*Iz/L 0 -6E*Iz/L^2 4E*Iz/L

=3.1197e+005 0.0000e+000 0.0000e+000 -3.1197e+005 0.0000e+000 0.0000e+0000.0000e+000 1.2909e+003 3.4759e+003 0.0000e+000 -1.2909e+003 3.4759e+0030.0000e+000 3.4759e+003 1.2479e+004 0.0000e+000 -3.4759e+003 6.2394e+003

-3.1197e+005 0.0000e+000 0.0000e+000 3.1197e+005 0.0000e+000 0.0000e+0000.0000e+000 -1.2909e+003 -3.4759e+003 0.0000e+000 1.2909e+003 -3.4759e+0030.0000e+000 3.4759e+003 6.2394e+003 0.0000e+000 -3.4759e+003 1.2479e+004

Batang – 2 :

E=... ; Ax=....; L=....; Iz=...


-E*Ax/L 0 0 E*Ax/L 0 00 12E*Iz/L^3 -6E*Iz/L^2 0 12E*Iz/L^3 -6E*Iz/L^2

0 6E*Iz/L^2 2E*Iz/L 0 -6E*Iz/L^2 4E*Iz/L

=3.3600e+005 0.0000e+000 0.0000e+000 -3.3600e+005 0.0000e+000 0.0000e+000

0.0000e+000 1.6128e+003 4.0320e+003 0.0000e+000 -1.6128e+003 4.0320e+003

0.0000e+000 4.0320e+003 1.3440e+004 0.0000e+000 -4.0320e+003 6.7200e+003

-3.3600e+005 0.0000e+000 0.0000e+000 3.3600e+005 0.0000e+000 0.0000e+000

0.0000e+000 -1.6128e+003 -4.0320e+003 0.0000e+000 1.6128e+003 -4.0320e+003

0.0000e+000 4.0320e+003 6.7200e+003 0.0000e+000 -4.0320e+003 1.3440e+004

Batang – 3 :

E=... ; Ax=....; L=....; Iz=...


-E*Ax/L 0 0 E*Ax/L 0 00 12E*Iz/L^3 -6E*Iz/L^2 0 12E*Iz/L^3 -6E*Iz/L^20 6E*Iz/L^2 2E*Iz/L 0 -6E*Iz/L^2 4E*Iz/L

=8.4000e+005 0.0000e+000 0.0000e+000 -8.4000e+005 0.0000e+000 0.0000e+000

0.0000e+000 2.5200e+004 2.5200e+004 0.0000e+000 -2.5200e+004 2.5200e+004

0.0000e+000 2.5200e+004 3.3600e+004 0.0000e+000 -2.5200e+004 1.6800e+004

-8.4000e+005 0.0000e+000 0.0000e+000 8.4000e+005 0.0000e+000 0.0000e+000

0.0000e+000 -2.5200e+004 -2.5200e+004 0.0000e+000 2.5200e+004 -2.5200e+004

0.0000e+000 2.5200e+004 1.6800e+004 0.0000e+000 -2.5200e+004 3.3600e+004


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Matriks Rotasi Sumbu [RT]6x6| [R] [0] |

[RT]6x6 = | [0] [R] |[R] 3x3 =

Cx Cy 0-Cy Cx 00 0 1

---> Cx=Lx/L Cy=Ly/L

Batang – 1 :

L=... ; Lx=....; Ly=....; Cx=...; Cy=....0.3714 0.9285 0.0000 0.0000 0.0000 0.0000

-0.9285 0.3714 0.0000 0.0000 0.0000 0.00000.0000 0.0000 1.0000 0.0000 0.0000 0.00000.0000 0.0000 0.0000 0.3714 0.9285 0.00000.0000 0.0000 0.0000 -0.9285 0.3714 0.00000.0000 0.0000 0.0000 0.0000 0.0000 1.0000

Batang – 2 :

L=... ; Lx=....; Ly=....; Cx=...; Cy=....0.0000 1.0000 0.0000 0.0000 0.0000 0.0000

-1.0000 0.0000 0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 1.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000 1.0000 0.0000

0.0000 0.0000 0.0000 -1.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000 0.0000 1.0000

Batang – 3 :

L=... ; Lx=....; Ly=....; Cx=...; Cy=....1.0000 0.0000 0.0000 0.0000 0.0000 0.00000.0000 1.0000 0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 1.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 1.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000 1.0000 0.0000

0.0000 0.0000 0.0000 0.0000 0.0000 1.0000

7. Matrik Kekakuan dan Matriks Beban

Dengan menggunakan bantuan program komputer FRAME2D, TRSUSS2D & GRIDtuliskan :

a) Matriks Rotasi [RT] tiap-tiap batang.

b) Matriks Kekakuan Elemen sumbu lokal [SM] tiap-t iap batang.c) Matriks Kekakuan Elemen sumbu gobal [SMS] tiap-tiap batang.

d) Matriks Kekakuan Struktur : [S], [SFF], [SFF]-1, [SRF]e) Matriks Beban : [AC] dan [AFC]

f) Perpindahan Titik Simpul, Reaksi Tumpuan dan Gaya Ujung Batang.

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Contohurutanmengerjakantugas-kerjakan Yg Ini Dengan Excel

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