calculo de celocias metodo matricial
TRANSCRIPT
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SIN TOMAR E
DATOS :
E:
A:P.U. =
Barra
1
2
3
4
5
6
Barra 1
Dx1 Dy1 Dx3 Dy3
1 0 -1 0 Dx1
1-3= 0 0 0 0 Dy1
-1 0 1 0 Dx3
0 0 0 0 Dy3
Barra 2
Dx1 Dy1 Dx4 Dy4
0.64 0.4! -0.64 -0.4! Dx1
1-4= 0.4! 0.36 -0.4! -0.36 Dy1
-0.64 -0.4! 0.64 0.4! Dx4
-0.4! -0.36 0.4! 0.36 Dy4
Barra 3
Dx2 Dy2 Dx4 Dy4
1 0 -1 0 Dx22-4= 0 0 0 0 Dy2
-1 0 1 0 Dx4
0 0 0 0 Dy4
Barra 4
Dx3 Dy3 Dx4 Dy4
0 0 0 0 Dx3
1 3
2 4
51
2
3
45
6
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3-4= 0 1 0 -1 Dy3
0 0 0 0 Dx4
0 -1 0 1 Dy4
Barra 5
Dx4 Dy4 Dx5 Dy50.64 -0.4! -0.64 0.4! Dx4
4-5= -0.4! 0.36 0.4! -0.36 Dy4
-0.64 0.4! 0.64 -0.4! Dx5
0.4! -0.36 -0.4! 0.36 Dy5
Barra 6
Dx3 Dy3 Dx5 Dy5
1 0 -1 0 Dx3
3-5= 0 0 0 0 Dy3
-1 0 1 0 Dx50 0 0 0 Dy5
MATRI" ENSAMBLADA
Dx1 Dy1 Dx2 Dy2 Dx3
6201#1.501 15#503.!#3 0 0 -410166.33#
15#503.!#3 11!12#.$05 0 0 0
0 0 410166.33# 0 0
0 0 0 0 0
= -410166.33# 0 0 0 !20332.6#4
0 0 0 0 0
-210005.164 -15#503.!#3 -410166.33# 0 0
-15#503.!#3 -11!12#.$05 0 0 0
0 0 0 0 -410166.33#
0 0 0 0 0
D%&%r'()a)&% 0
MATRI" REDUCIDA
Dx4 Dy4 Dx5 Dy5!301#6.666 0 -210005.164 15#503.!#3 Dx4
r%*= 0 #!3144.25$ 15#503.!#3 -11!12#.$05Dy4
-210005.164 15#503.!#3 6201#1.501 -15#503.!#3 Dx5
15#503.!#3 -11!12#.$05 -15#503.!#3 11!12#.$05 Dy5
MATRI" REEDUCIDA IN+ERTIDA , DESPLA"AMIENTOS
Dx4 Dy4 Dx5 Dy5
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1.#2E-06 -4.06E-0# 1.34E-22 -2.6$E-06 Dx4
r%* ()= -4.06E-0# 1.60E-06 -#.0$E-23 2.14E-06 Dy4
2.0#E-22 -5.1!E-23 2.44E-06 3.25E-06 Dx5
-2.6$E-06 2.14E-06 3.25E-06 1.!5E-05 Dy5
%/%r %) arra
0
1-3= 410166.33# 1 0 0 =
0
1-4= 32!133.06$ 0.! 0.6 0 =
0
2-4= 410166.33# 1 0 0 =
-1.500E-006
3-4= 546!!!.44$ 0 1 1.41!#E-006 =
-1.500E-006
4-5= 32!133.06$ 0.! -0.6 1.41!#E-006 =
$.#521E-006
3-5= 410166.33# 1 0 1.6422E-005 =
TOMANDO EN CUENTA EL PESO PROPIO CARA LIN. 0.63221$13
BARRA 1
Dx1 Dy1 Dx3 Dy3
1 0 -1 0 Dx1
1-3= 0 0 0 0 Dy1
-1 0 1 0 Dx3
0 0 0 0 Dy3
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BARRA 2
Dx1 Dy1 Dx4 Dy4
0.64 0.4! -0.64 -0.4! Dx1
1-4= 0.4! 0.36 -0.4! -0.36 Dy1
-0.64 -0.4! 0.64 0.4! Dx4
-0.4! -0.36 0.4! 0.36 Dy4
BARRA 3
Dx2 Dy2 Dx4 Dy4
1 0 -1 0 Dx2
2-4= 0 0 0 0 Dy2
-1 0 1 0 Dx4
0 0 0 0 Dy4
BARRA 4
Dx3 Dy3 Dx4 Dy4
0 0 0 0 Dx3
3-4= 0 1 0 -1 Dy30 0 0 0 Dx4
0 -1 0 1 Dy4
BARRA 5
Dx4 Dy4 Dx5 Dy5
0.64 -0.4! -0.64 0.4! Dx4
4-5= -0.4! 0.36 0.4! -0.36 Dy4
-0.64 0.4! 0.64 -0.4! Dx5
0.4! -0.36 -0.4! 0.36 Dy5
BARRA 6
Dx3 Dy3 Dx5 Dy5
1 0 -1 0 Dx3
3-5= 0 0 0 0 Dy3
-1 0 1 0 Dx5
0 0 0 0 Dy5
MATRI" ENSAMBLADA
D1 D,1 D2 D,2 D3
6201#1.501 15#503.!#3 0 0 -410166.33#15#503.!#3 11!12#.$05 0 0 0
0 0 410166.33# 0 0
0 0 0 0 0
-410166.33# 0 0 0 !20332.6#4
= 0 0 0 0 0
-210005.164 -15#503.!#3 -410166.33# 0 0
-15#503.!#3 -11!12#.$05 0 0 0
0 0 0 0 -410166.33#
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0 0 0 0 0
DETERM. 0.00
MATRI" REDUCIDA
Dx4 Dy4 Dx5 Dy5!301#6.666 0 -210005.164 15#503.!#3 Dx4
0 #!3144.25$ 15#503.!#3 -11!12#.$05 Dy4
r%*7 -210005.164 15#503.!#3 6201#1.501 -15#503.!#3 Dx5
15#503.!#3 -11!12#.$05 -15#503.!#3 11!12#.$05 Dy5
MATRI" IN+ERTIDA
Dx4 Dy4 Dx5 Dy5
1.#15#E-006 -4.063E-00# 1.33#3E-022 -2.6$4E-006 Dx4
() -4.063E-00# 0.0000016 -#.0!!E-023 2.141#E-006Dy4
2.0#3#E-022 -5.1!4E-023 2.43!0E-006 3.250#E-006 Dx5-2.6$4E-006 2.141#E-006 3.250#E-006 1.!533E-005 Dy5
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N CUENTA EL PESO PROPIO
20400000 T8M92
0.0!0424## M92#.!61 T8'3
NudosNudo (i) Nudo (j)
Xi Yi Xj Yj L1-3 0 0 4 0 4
1-4 0 0 4 3 5
2-4 0 3 4 3 4
3-4 4 0 4 3 3
4-5 4 3 ! 0 5
3-5 4 0 ! 0 4
Dx1 Dy1 Dx3 Dy3
410166.336$ 0 -410166.336$ 0
1-3= 0 0 0 0
-410166.33# 0 410166.336!5 0
0 0 0 0
Dx1 Dy1 Dx4 Dy4
210005.1645 15#503.!#3 -210005.1645 -15#503.!#3
1-4= 15#503.!#34 11!12#.$05 -15#503.!#34 -11!12#.$05
-210005.164 -15#503.!#3 210005.1644# 15#503.!#3
-15#503.!#3 -11!12#.$05 15#503.!#335 11!12#.$05
Dx2 Dy2 Dx4 Dy4
410166.336$ 0 -410166.336$ 02-4= 0 0 0 0
-410166.33# 0 410166.336!5 0
0 0 0 0
Dx3 Dy3 Dx4 Dy4
0 0 0 0
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3-4= 0 546!!!.44$ 0 -546!!!.44$
0 0 0 0
0 -546!!!.44$ 0 546!!!.44$
Dx4 Dy4 Dx5 Dy5210005.1645 -15#503.!#3 -210005.1645 15#503.!#3
4-5= -15#503.!#3 11!12#.$05 15#503.!#335 -11!12#.$05
-210005.164 15#503.!#3 210005.1644# -15#503.!#3
15#503.!#34 -11!12#.$05 -15#503.!#34 11!12#.$05
Dx3 Dy3 Dx5 Dy5
410166.336$ 0 -410166.336$ 0
3-5= 0 0 0 0
-410166.33# 0 410166.336!5 00 0 0 0
Dy3 Dx4 Dy4 Dx5 Dy5
0 -210005.164 -15#503.!#3 0 0 Dx1
0 -15#503.!#3 -11!12#.$05 0 0 Dy1
0 -410166.33# 0 0 0 Dx2
0 0 0 0 0 Dy2
0 0 0 -410166.33# 0 Dx3
546!!!.44$ 0 -546!!!.44$ 0 0 Dy3
0 !301#6.666 0 -210005.164 15#503.!#335 Dx4
-546!!!.44$ 0 #!3144.25$2 15#503.!#3 -11!12#.$05 Dy4
0 -210005.164 15#503.!#34 6201#1.501 -15#503.!#34 Dx5
0 15#503.!#3 -11!12#.$05 -15#503.!#3 11!12#.$0501Dy5
%ra D%;aa'(%)&
D
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-0.#0#106#! Dx4 -1.5005E-006 Dx4
0.#0#106#! Dy4 1.41!#E-006 Dy4
4 Dx5 $.#521E-006 Dx5
0 Dy5 1.6422E-005 Dy5
0 = 0.00 T
0 = 0.00 T
0 = 0.00E
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Dx1 Dy1 Dx4 Dy4
210005.1645 15#503.!#3 -210005.1645 -15#503.!#3
1-4= 15#503.!#34 11!12#.$05 -15#503.!#34 -11!12#.$05
-210005.164 -15#503.!#3 210005.1644# 15#503.!#3
-15#503.!#3 -11!12#.$05 15#503.!#335 11!12#.$05
Dx2 Dy2 Dx4 Dy4
410166.336$ 0 -410166.336$ 0
2-4= 0 0 0 0
-410166.33# 0 410166.336!5 0
0 0 0 0
Dx3 Dy3 Dx4 Dy4
0 0 0 0
3-4= 0 546!!!.44$ 0 -546!!!.44$0 0 0 0
0 -546!!!.44$ 0 546!!!.44$
Dx4 Dy4 Dx5 Dy5
262506.4556 -1$6!#$.!42 -262506.4556 1$6!#$.!42
4-5= -1$6!#$.!42 14#65$.!!1 1$6!#$.!416$ -14#65$.!!1
-262506.456 1$6!#$.!42 262506.4555$ -1$6!#$.!42
1$6!#$.!41# -14#65$.!!1 -1$6!#$.!41# 14#65$.!!1
Dx3 Dy3 Dx5 Dy5
32!133.06$5 0 -32!133.06$5 0
3-5= 0 0 0 0
-32!133.06$ 0 32!133.06$4! 0
0 0 0 0
+E
D,3 D4 D,4 D5 D,5
0 -210005.164 -15#503.!#3 0 0 D10 -15#503.!#3 -11!12#.$05 0 0 D,1
0 -410166.33# 0 0 0 D2
0 0 0 0 0 D,2
0 0 0 -410166.33# 0 D3
546!!!.44$ 0 -546!!!.44$ 0 0 D,3
0 !301#6.666 0 -210005.164 15#503.!#335 D4
-546!!!.44$ 0 #!3144.25$2 15#503.!#3 -11!12#.$05 D,4
0 -210005.164 15#503.!#34 6201#1.501 -15#503.!#34 D5
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0 15#503.!#3 -11!12#.$05 -15#503.!#3 11!12#.$0501 D,5
DE"PLA"AMIENTOS
-MEP D
-0.#0#106#! Dx4 2.4$36E-005 Dx4 '
-10.2$22063 Dy4 -3.3644E-005 Dy4 '
4 Dx5 -1.6#55E-005 Dx5 '-!.15432# Dy5 -0.00015!26 Dy5 '
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l mE A E*A/L os s!"
20400000 0.0!0424## 410166.336!52# 1 0
20400000 0.0!0424## 32!133.06$4!21 0.! 0.6
20400000 0.0!0424## 410166.336!52# 1 0
20400000 0.0!0424## 546!!!.44$136$ 0 1
20400000 0.0!0424## 32!133.06$4!21 0.! -0.6
20400000 0.0!0424## 410166.336!52# 1 0
Dx1
Dy1
Dx3
Dy3
Dx1
Dy1
Dx4
Dy4
Dx2Dy2
Dx4
Dy4
Dx3
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Dy3
Dx4
Dy4
Dx4
Dy4
Dx5
Dy5
Dx3
Dy3
Dx5Dy5
%ra DESPLA"AMIENTOS REACCIONES
D =D
0 Dx1 0 Dx1 0.0$ T Dx1
0 Dy1 0 Dy1 0.0# T Dy1
0 Dx2 0 Dx2 0.62 T Dx2
0 Dy2 0 Dy2 0.00 T Dy2
0 Dx3 0 Dx3 -4.00 T Dx3
0 Dy3 0 Dy3 -0.#! T Dy3
-0.#0#106#!Dx4 -1.5004#61E-006Dx4 -0.#1 T Dx4
0.#0#106#! Dy4 1.41!66!2E-006 Dy4 0.#1 T Dy4
4 Dx5 $.#521411E-006 Dx5 4.00 T Dx5
0 Dy5 1.642215!E-005 Dy5 0.00 T Dy5
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EP D
Dx1 0.00 Dx1 0 Dx1 0
Dy1 0.00 Dy1 #.26443!26Dy1 0
Dx3 0.00 Dx3 0 Dx3 0
Dy3 0.00 Dy3 #.26443!26Dy3 0
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EP D
Dx1 0.00 Dx1 0 Dx1 0
Dy1 0.00 Dy1 1.5!054#!3Dy1 0
Dx4 -0.#0#106#!Dx4 0 Dx4 0
Dy4 0.#0#106#! Dy4 1.5!054#!3Dy4 0
EP D
Dx2 0.00 Dx2 0 Dx2 0
Dy2 0.00 Dy2 1.26443!26Dy2 0
Dx4 0.00 Dx4 0 Dx4 0
Dy4 0.00 Dy4 1.26443!26Dy4 0
EP D
Dx3 0.00 Dx3 0 Dx3 0
Dy3 0.00 Dy3 1.#6!#25 Dy3 0Dx4 0.00 Dx4 0 Dx4 2.4$36E-005
Dy4 0.00 Dy4 1.#6!#25 Dy4 -3.364E-005
EP D
Dx4 Dx4 0 Dx4 0
Dy4 0.00 Dy4 6.3!5602 Dy4 0
Dx5 4.00 Dx5 0 Dx5 2.4$36E-005
Dy5 0.00 Dy5 6.3!5602 Dy5 -3.364E-005
EP D
Dx3 0.00 Dx3 0 Dx3 0
Dy3 0.00 Dy3 1.#6!#25 Dy3 0
Dx5 0.00 Dx5 0 Dx5 -1.6#6E-005
Dy5 0.00 Dy5 1.#6!#25 Dy5 -0.00015!26
CTOR UER"AS EMPOTRAMIENTO PERECTO
MEP -MEP
0.00 D1 0 D1 0 D10.00 D,1 !.!4 D,1 -!.!44$!60$ D,1
0.00 D2 0 D2 0 D2
0.00 D,2 0 D,2 0 D,2
0.00 D3 0 D3 0 D3
0.00 D,3 10.!01!!!264 D,3 -10.!01!!!3 D,3
-0.#0#106#! D4 0 D4 -0.#0#106#! D4
0.#0#106#!D,4 10.$$$3130$4D,4 -10.2$22063D,4
4.00 D5 0 D5 4 D5
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0 D,5 !.15432# D,5 -!.15432# D,5
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D =D
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D =D
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-0.00015!26 D,5 -!.15432# D,5 0.000 D,5
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TT
T
T
T
T
T
T
T
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T