Politechnika Gdańska Rok akademicki 1999/2000
Wydział Budownictwa Lądowego
Mechanika Budowli II
Zadanie projektowe NR 1
Michał Rzodkiewicz
WBL III sem. V TOB2
Rozwiązanie schematu przy pomocy programu
FRANK
PROGRAM F-R-A-N-K
C. BRANICKI 1986-1999 10-26-1999
==================================
DATA FROM FILE: RZODK01.FRA
==================================
TITLE: MICHAL RZODKIEWICZ, WBL3, SEM. 5, TOB2, PROJEKT 1, WERSJA 1.0
NODES= 5
* N X Y
1 0 0
2 7.2 0
3 7.2 6
4 11.7 0
5 18.1 0
0.000012
E= 20000 at=0.000012
TYPES= 2
* T AREA I (H)
1 1.0000E+05 1.3500E+00
2 1.0000E+05 1.0000E+00
ELEMENTS= 4
* E A B (T)
1 1 2 1
2 2 3 2
3 2 4 1
4 4 5 1
SUPPORTS= 4
* N CODE
1 Y
3 FIX
4 Y
5 Y
SPRINGS= 0
SYSTEM STATISTICS
~~~~~~~~~~~~~~~~~
No of nodes.................. 5
No of elements............... 4
No of rigid support links.... 6
No of active springs......... 0
No of nodal restraints....... 6
Stiffness matrix volume..... 31 ELEMENTS
Memory used............... 858 BYTES
STATICAL INDETERMINACY........ 3
============
LOAD CASE No 1: OBCIAZENIA ZEWNETRZNE, MICHAL RZODKIEWIC..//MICHAL RZODKIEWI..
============
LOCAL
* E (CODE X0 V (DIR))
1 UDL 0 3.2 YS
4 UDL 0 3.2 YS
END
GLOBAL
* N (CODE V )
1 M -14
5 X 9
END
---------------------------------------------------------
Resultant of external loads: SPX SPY
9.0000 43.5200
---------------------------------------------------------
G L O B A L D I S P L A C E M E N T S
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
N U V FI
1 8.78392E-03 0.00000E+00 -1.25715E-04
2 8.78392E-03 2.11112E-08 2.27972E-04
3 0.00000E+00 0.00000E+00 0.00000E+00
4 8.78394E-03 0.00000E+00 3.72328E-04
5 8.78397E-03 0.00000E+00 -8.33433E-04
L O C A L E L E M E N T E N D - F O R C E S
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
EL# (NA) NB=N VA VB MA MB
1 0.00000 -11.2005 -11.8395 -14.0000 16.3007
2 -7.03706 -9.0000 9.0000 -26.2401 -27.7599
3 9.00000 4.8025 -4.8025 9.9394 11.6717
4 9.00000 -12.0637 -8.4163 -11.6717 -0.0000
S U P P O R T R E A C T I O N S
N Code/cos M Rx Ry
RIGID SUPPORTS
~~~~~~~~~~~~~~
1 Y 0.0000 0.00000 -11.2005
3 FIX -27.7599 -9.00000 -7.0371
4 Y 0.0000 0.00000 -16.8662
5 Y 0.0000 0.00000 -8.4163
---------------------------------------------------------
RESULTANT OF SUPPORT REACTIONS: SRX SRY
-9.0000 -43.5200
---------------------------------------------------------
END OF PROGRAM RUN
Wyznaczenie linii wpływu przy pomocy programu
FRANK
PROGRAM F-R-A-N-K
C. BRANICKI 1986-1999 11-16-1999
==================================
DANE Z PLIKU: RZODK01.FRA
==================================
TITLE: MICHAL RZODKIEWICZ, WBL3, SEM. 5, TOB2, PROJEKT 1, WERSJA 1.0
NODES= 13
* N X Y
1 0 0
2 1.8 0
3 3.6 0
4 5.4 0
5 7.2 0
6 8.7 0
7 10.2 0
8 11.7 0
9 13.3 0
10 14.9 0
11 16.5 0
12 18.1 0
13 7.2 6
E= 20000 at=0.000012
TYPES= 2
* T AREA I (H)
1 1.0000E+05 1.3500E+00
2 1.0000E+05 1.0000E+00
ELEMENTS= 12
* E A B (T)
1 1 2 1
2 2 3 1
3 3 4 1
4 4 5 1
5 5 6 1
6 6 7 1
7 7 8 1
8 8 9 1
9 9 10 1
10 10 11 1
11 11 12 1
12 5 13 2
SUPPORTS= 4
* N CODE
1 Y
8 Y
12 Y
13 FIX
SPRINGS= 0
SYSTEM STATISTICS
~~~~~~~~~~~~~~~~~
No of nodes.................. 13
No of elements............... 12
No of rigid support links.... 6
No of active springs......... 0
No of nodal restraints....... 6
Stiffness matrix volume..... 150 ELEMENTS
Memory used............... 2898 BYTES
STATICAL INDETERMINACY........ 3
============
LOAD CASE No 1: LINIA WPLYWU PRZEKROJU ALFA//MICHAL RZODKIEWICZ, WBL3, SEM. ..
============
LOCAL
* E (CODE X0 V (DIR))
6 DF 0 1
END
SOLVE
---------------------------------------------------------
Resultant of external loads: SPX SPY
0.00000 0.00000
---------------------------------------------------------
G L O B A L D I S P L A C E M E N T S
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
N U V FI
1 1.03881E+00 0.00000E+00 -1.73134E-01
2 1.03881E+00 -2.92164E-01 -1.40672E-01
3 1.03881E+00 -4.67462E-01 -4.32832E-02
4 1.03881E+00 -4.09028E-01 1.19031E-01
5 1.03881E+00 4.03320E-06 3.46270E-01
6 1.03881E+00 7.13080E-01 5.93340E-01
7 1.03881E+00 2.46552E-01 -2.26536E-01
8 1.03881E+00 0.00000E+00 -1.13358E-01
9 1.03881E+00 -1.19026E-01 -3.89668E-02
10 1.03881E+00 -1.36030E-01 1.41697E-02
11 1.03881E+00 -8.50185E-02 4.60517E-02
12 1.03881E+00 0.00000E+00 5.66790E-02
13 0.00000E+00 0.00000E+00 0.00000E+00
L O C A L E L E M E N T E N D - F O R C E S
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
EL# (NA) NB=N VA VB MA MB
1 0.00 541.047 -541.047 -0.00 973.88
2 0.00 541.047 -541.047 -973.88 1947.77
3 0.00 541.047 -541.047 -1947.77 2921.65
4 0.00 541.047 -541.047 -2921.65 3895.54
5 0.00 -803.352 803.352 -5049.77 3844.74
6 0.00 -803.352 803.352 -3844.74 2639.72
7 -0.00 -803.352 803.352 -2639.72 1434.69
8 0.00 -224.170 224.170 -1434.69 1076.02
9 -0.00 -224.170 224.170 -1076.02 717.34
10 0.00 -224.170 224.170 -717.34 358.67
11 0.00 -224.170 224.170 -358.67 -0.00
12 -1344.40 0.000 -0.000 1154.23 -1154.23
S U P P O R T R E A C T I O N S
N Code/cos M Rx Ry
RIGID SUPPORTS
~~~~~~~~~~~~~~
1 Y 0.00 0.000E+00 541.05
8 Y 0.00 0.000E+00 579.18
12 Y 0.00 0.000E+00 224.17
13 FIX -1154.23 6.439E-07 -1344.40
---------------------------------------------------------
RESULTANT OF SUPPORT REACTIONS: SRX SRY
0.00 0.00
---------------------------------------------------------
END OF PROGRAM RUN
Wyznaczenie obwiedni momentów zginających przy pomocy programu
FRANK
PROGRAM F-R-A-N-K
C. BRANICKI 1986-1999 11-09-1999
==================================
DANE Z PLIKU: RZODK01.FRA
==================================
TITLE: MICHAL RZODKIEWICZ, WBL3, SEM. 5, TOB2, PROJEKT 1, WERSJA 1.0
NODES= 13
* N X Y
1 0 0
2 1.8 0
3 3.6 0
4 5.4 0
5 7.2 0
6 8.7 0
7 10.2 0
8 11.7 0
9 13.3 0
10 14.9 0
11 16.5 0
12 18.1 0
13 7.2 6
0.000012
E= 20000 at=0.000012
TYPES= 2
* T AREA I (H)
1 1.0000E+05 1.3500E+00
2 1.0000E+05 1.0000E+00
ELEMENTS= 12
* E A B (T)
1 1 2 1
2 2 3 1
3 3 4 1
4 4 5 1
5 5 6 1
6 6 7 1
7 7 8 1
8 8 9 1
9 9 10 1
10 10 11 1
11 11 12 1
12 5 13 2
SUPPORTS= 4
* N CODE
1 Y
8 Y
12 Y
13 FIX
SPRINGS= 0
SYSTEM STATISTICS
~~~~~~~~~~~~~~~~~
No of nodes.................. 13
No of elements............... 12
No of rigid support links.... 6
No of active springs......... 0
No of nodal restraints....... 6
Stiffness matrix volume..... 150 ELEMENTS
Memory used............... 2898 BYTES
STATICAL INDETERMINACY........ 3
============
LOAD CASE No 1: OBCIAZENIA PRZESLA 1//MICHAL RZODKIEWICZ, WBL3, SEM. 5, TOB2..
============
LOCAL
* E (CODE X0 V (DIR))
1 UDL 0 5 Y
2 UDL 0 5 Y
3 UDL 0 5 Y
4 UDL 0 5 Y
END
---------------------------------------------------------
Resultant of external loads: SPX SPY
0.0000 36.0000
---------------------------------------------------------
G L O B A L D I S P L A C E M E N T S
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
N U V FI
1 -2.80482E-03 0.00000E+00 1.90749E-03
2 -2.80482E-03 2.97588E-03 1.18983E-03
3 -2.80482E-03 3.85422E-03 -2.43120E-04
4 -2.80482E-03 2.31947E-03 -1.31138E-03
5 -2.80482E-03 7.82099E-08 -9.34940E-04
6 -2.80482E-03 -7.25252E-04 -1.02040E-04
7 -2.80482E-03 -5.15660E-04 3.11624E-04
8 -2.80482E-03 0.00000E+00 3.06050E-04
9 -2.80482E-03 3.21353E-04 1.05205E-04
10 -2.80482E-03 3.67260E-04 -3.82563E-05
11 -2.80482E-03 2.29538E-04 -1.24333E-04
12 -2.80482E-03 0.00000E+00 -1.53025E-04
13 0.00000E+00 0.00000E+00 0.00000E+00
L O C A L E L E M E N T E N D - F O R C E S
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
EL# (NA) NB=N VA VB MA MB
1 0.0000 -14.9609 5.9609 0.0000 -18.8295
2 0.0000 -5.9609 -3.0391 18.8295 -21.4591
3 -0.0000 3.0391 -12.0391 21.4591 -7.8886
4 -0.0000 12.0391 -21.0391 7.8886 21.8818
5 -0.0000 -5.0308 5.0308 -18.7653 11.2191
6 0.0000 -5.0308 5.0308 -11.2191 3.6728
7 0.0000 -5.0308 5.0308 -3.6728 -3.8734
8 0.0000 0.6052 -0.6052 3.8734 -2.9051
9 0.0000 0.6052 -0.6052 2.9051 -1.9367
10 0.0000 0.6052 -0.6052 1.9367 -0.9684
11 0.0000 0.6052 -0.6052 0.9684 -0.0000
12 -26.0700 -0.0000 0.0000 -3.1165 3.1165
S U P P O R T R E A C T I O N S
N Code/cos M Rx Ry
RIGID SUPPORTS
~~~~~~~~~~~~~~
1 Y 0.00000 0.000E+00 -14.9609
8 Y 0.00000 0.000E+00 5.6361
12 Y 0.00000 0.000E+00 -0.6052
13 FIX 3.11647 -1.738E-09 -26.0700
---------------------------------------------------------
RESULTANT OF SUPPORT REACTIONS: SRX SRY
-0.0000 -36.0000
---------------------------------------------------------
============
LOAD CASE No 2: OBCIAZENIA PRZESLA 2//MICHAL RZODKIEWICZ, WBL3, SEM. 5, TOB2..
============
LOCAL
* E (CODE X0 V (DIR))
5 UDL 0 5 Y
6 UDL 0 5 Y
7 UDL 0 5 Y
END
---------------------------------------------------------
Resultant of external loads: SPX SPY
0.0000 22.5000
---------------------------------------------------------
G L O B A L D I S P L A C E M E N T S
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
N U V FI
1 9.69516E-04 0.00000E+00 -1.61579E-04
2 9.69516E-04 -2.72663E-04 -1.31282E-04
3 9.69516E-04 -4.36258E-04 -4.03910E-05
4 9.69516E-04 -3.81715E-04 1.11094E-04
5 9.69516E-04 3.55719E-08 3.23172E-04
6 9.69516E-04 4.83719E-04 2.16150E-04
7 9.69516E-04 4.87971E-04 -2.11901E-04
8 9.69516E-04 0.00000E+00 -3.35982E-04
9 9.69516E-04 -3.52781E-04 -1.15494E-04
10 9.69516E-04 -4.03179E-04 4.19978E-05
11 9.69516E-04 -2.51987E-04 1.36493E-04
12 9.69516E-04 0.00000E+00 1.67991E-04
13 0.00000E+00 0.00000E+00 0.00000E+00
L O C A L E L E M E N T E N D - F O R C E S
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
EL# (NA) NB=N VA VB MA MB
1 0.0000 0.5049 -0.5049 -0.00000 0.90891
2 0.0000 0.5049 -0.5049 -0.90891 1.81782
3 0.0000 0.5049 -0.5049 -1.81782 2.72672
4 0.0000 0.5049 -0.5049 -2.72672 3.63563
5 0.0000 -11.3524 3.8524 -4.71287 -6.69066
6 0.0000 -3.8524 -3.6476 6.69066 -6.84419
7 0.0000 3.6476 -11.1476 6.84419 4.25228
8 0.0000 -0.6644 0.6644 -4.25228 3.18921
9 -0.0000 -0.6644 0.6644 -3.18921 2.12614
10 0.0000 -0.6644 0.6644 -2.12614 1.06307
11 0.0000 -0.6644 0.6644 -1.06307 0.00000
12 -11.8573 0.0000 -0.0000 1.07724 -1.07724
S U P P O R T R E A C T I O N S
N Code/cos M Rx Ry
RIGID SUPPORTS
~~~~~~~~~~~~~~
1 Y 0.00000 0.000E+00 0.5049
8 Y 0.00000 0.000E+00 -11.8121
12 Y 0.00000 0.000E+00 0.6644
13 FIX -1.07724 6.009E-10 -11.8573
---------------------------------------------------------
RESULTANT OF SUPPORT REACTIONS: SRX SRY
0.0000 -22.5000
---------------------------------------------------------
============
LOAD CASE No 3: OBCIAZENIA PRZESLA 3//MICHAL RZODKIEWICZ, WBL3, SEM. 5, TOB2..
============
LOCAL
* E (CODE X0 V (DIR))
8 UDL 0 5 Y
9 UDL 0 5 Y
10 UDL 0 5 Y
11 UDL 0 5 Y
END
---------------------------------------------------------
Resultant of external loads: SPX SPY
0.0000 32.0000
---------------------------------------------------------
G L O B A L D I S P L A C E M E N T S
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
N U V FI
1 -7.25482E-04 0.00000E+00 1.20911E-04
2 -7.25482E-04 2.04037E-04 9.82396E-05
3 -7.25482E-04 3.26457E-04 3.02262E-05
4 -7.25482E-04 2.85646E-04 -8.31294E-05
5 -7.25482E-04 -1.39907E-08 -2.41827E-04
6 -7.25482E-04 -4.20412E-04 -2.59179E-04
7 -7.25482E-04 -5.98979E-04 8.06132E-05
8 -7.25482E-04 0.00000E+00 7.77549E-04
9 -7.25482E-04 1.57495E-03 9.62591E-04
10 -7.25482E-04 2.55123E-03 1.55646E-04
11 -7.25482E-04 1.94850E-03 -8.84768E-04
12 -7.25482E-04 0.00000E+00 -1.40013E-03
13 0.00000E+00 0.00000E+00 0.00000E+00
L O C A L E L E M E N T E N D - F O R C E S
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
EL# (NA) NB=N VA VB MA MB
1 0.00000 -0.3779 0.3779 0.0000 -0.6801
2 0.00000 -0.3779 0.3779 0.6801 -1.3603
3 -0.00000 -0.3779 0.3779 1.3603 -2.0404
4 -0.00000 -0.3779 0.3779 2.0404 -2.7205
5 -0.00000 4.2857 -4.2857 3.5266 2.9020
6 0.00000 4.2857 -4.2857 -2.9020 9.3306
7 0.00000 4.2857 -4.2857 -9.3306 15.7591
8 0.00000 -18.4624 10.4624 -15.7591 -7.3806
9 0.00000 -10.4624 2.4624 7.3806 -17.7204
10 0.00000 -2.4624 -5.5376 17.7204 -15.2602
11 -0.00000 5.5376 -13.5376 15.2602 -0.0000
12 4.66358 -0.0000 0.0000 -0.8061 0.8061
S U P P O R T R E A C T I O N S
N Code/cos M Rx Ry
RIGID SUPPORTS
~~~~~~~~~~~~~~
1 Y 0.000000 0.000E+00 -0.3779
8 Y 0.000000 0.000E+00 -22.7481
12 Y 0.000000 0.000E+00 -13.5376
13 FIX 0.806091 -4.497E-10 4.6636
---------------------------------------------------------
RESULTANT OF SUPPORT REACTIONS: SRX SRY
-0.0000 -32.0000
---------------------------------------------------------
======================
LOAD CASES COMBINATION
======================
Combination multipliers:
1 0 1
COMBINATION ELEMENT END-FORCES
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
EL# (NA) NB=N VA VB MA MB
1 0.0000 -15.3387 6.3387 0.0000 -19.5097
2 0.0000 -6.3387 -2.6613 19.5097 -22.8194
3 -0.0000 2.6613 -11.6613 22.8194 -9.9290
4 -0.0000 11.6613 -20.6613 9.9290 19.1613
5 -0.0000 -0.7451 0.7451 -15.2387 14.1210
6 0.0000 -0.7451 0.7451 -14.1210 13.0034
7 0.0000 -0.7451 0.7451 -13.0034 11.8857
8 0.0000 -17.8571 9.8571 -11.8857 -10.2857
9 0.0000 -9.8571 1.8571 10.2857 -19.6572
10 0.0000 -1.8571 -6.1429 19.6572 -16.2286
11 -0.0000 6.1429 -14.1429 16.2286 -0.0000
12 -21.4064 -0.0000 0.0000 -3.9226 3.9226
======================
LOAD CASES COMBINATION
======================
Combination multipliers:
1 1 0
COMBINATION ELEMENT END-FORCES
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
EL# (NA) NB=N VA VB MA MB
1 0.0000 -14.4559 5.4559 0.0000 -17.9206
2 0.0000 -5.4559 -3.5441 17.9206 -19.6413
3 -0.0000 3.5441 -12.5441 19.6413 -5.1619
4 -0.0000 12.5441 -21.5441 5.1619 25.5174
5 -0.0000 -16.3832 8.8832 -23.4782 4.5284
6 0.0000 -8.8832 1.3832 -4.5284 -3.1714
7 0.0000 -1.3832 -6.1168 3.1714 0.3788
8 0.0000 -0.0592 0.0592 -0.3788 0.2841
9 -0.0000 -0.0592 0.0592 -0.2841 0.1894
10 0.0000 -0.0592 0.0592 -0.1894 0.0947
11 0.0000 -0.0592 0.0592 -0.0947 0.0000
12 -37.9273 -0.0000 0.0000 -2.0392 2.0392
======================
LOAD CASES COMBINATION
======================
Combination multipliers:
0 1 1
COMBINATION ELEMENT END-FORCES
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
EL# (NA) NB=N VA VB MA MB
1 0.00000 0.1271 -0.1271 -0.0000 0.2288
2 0.00000 0.1271 -0.1271 -0.2288 0.4575
3 0.00000 0.1271 -0.1271 -0.4575 0.6863
4 0.00000 0.1271 -0.1271 -0.6863 0.9151
5 0.00000 -7.0666 -0.4334 -1.1862 -3.7887
6 0.00000 0.4334 -7.9334 3.7887 2.4864
7 0.00000 7.9334 -15.4334 -2.4864 20.0114
8 0.00000 -19.1268 11.1268 -20.0114 -4.1914
9 -0.00000 -11.1268 3.1268 4.1914 -15.5943
10 0.00000 -3.1268 -4.8732 15.5943 -14.1971
11 -0.00000 4.8732 -12.8732 14.1971 -0.0000
12 -7.19373 0.0000 -0.0000 0.2711 -0.2711
END OF PROGRAM RUN
Wyszukiwarka