tijeral upcxlsx
TRANSCRIPT
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PROBLEMA 1
ELEMENTO 1
E 20000000 Kg/ cm2
A 220 cm2
L 400 cm
EA/L 11000000 Kg/cm
EA/L 11000 Tn/cm
delta x 400
delta y 0
angulo 0 0
seno 0
coseno 1
sen2 0
cos2 1
sencos 0
mat!"# de !"g"de# elemento 1
11000 0 $11000
0 0 0
$11000 0 11000
0 0 0
MATR%& 'E R%(%'E& 'E LA E)TR*+T*RA
1 2 ,
1 2-.... 000 $14....
2 000 ,..... 000
, $14.... 000 42-21
4 000 000 $4-,
- 000 000 $0.40,
. 000 $,..... -.442
000 000 000 000 000 000
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10 000 000 $-1-4-
%N3ER)A 'E LA MATR%& 'E R%(%'E&
-4-4-4-4-E$00- $4.,.,.,.E$00- 22222,E$00-
$4.,.,.,.E$00- 0000-02 $11,.,.,.,.E$00-
2222,E$00- $11,.,.4E$00- 42222E$00-
$2222E$00- 0000-240142 $42222E$00-
1,000E$00- $44-4.E$00- 24,40001E$00-
$4.,.,.,.E$00- 000042-- $11,.,.,.,.E$00-
1111E$00. 202E$00- 14,1111E$00-
$2222E$00- 0000-240142 $42222E$00-
,1,...4E$020 0000244-. 141,0020-E$020
,122-022.E$021 ,,4000E$00- -.02440.E$022
K$1
1000 0000 0000
0000 1000 0000
0000 0000 1000
0000 0000 0000
0000 0000 0000
0000 0000 0000
0000 0000 0000
0000 0000 0000
0000 0000 0000
0000 0000 0000
ELEM 2 $ ELEMENTO 4 'ELTA 5*ER&A E6TREMO51 00000,. 000000
52 $0000.-2. 000000
5, 00000-.1 000000
54 $0000.-2. 000000
ELEM ,$. ELEMENTO . 'ELTA 5*ER&A E6TREMO
51 00000.44 000000
52 $0000--22 0-0000
5, $00000,2 $000000
54 $0000-.0 $0-0000
ELEM 4$- ELEMENTO 'ELTA 5*ER&A E6TREMO51 0 000000
52 0 10-00
5, $0000242 $000000
54 $000004 $10-00
ELEM 1$ ELEMENTO 1 'ELTA 5*ER&A E6TREMO
51 0 $040-
52 0 0
5, 00000,. 040-
54 $0000.-2. 0
ELEM 1$2 ELEMENTO 'ELTA 5*ER&A E6TREMO51 0 1,-
52 0 0 40-
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5, 00000-.1 $1,-
54 $0000.-2. $040-
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ELEMENTO 2
E 20000000 Kg/ cm2
A 220 cm2
L ,00 cm
EA/L 14.......... Kg/cm
EA/L 14.......... Tn/cm
delta x ,00
delta y 0
angulo 0 0
seno 0
coseno 1
sen2 0
cos2 1
sencos 0
mat!"# de !"g"de# elemento2
0 14.......... 0 $14..........
0 0 0 0
0 $14.......... 0 14..........
0 0 0 0
4 - .
000 000 000 000
000 000 $,..... 000
$4-, $0.40, -.442 000
,0020 -.442 $,-1, 000
-.442 ,0.1,- 11214 $121
$,-1, 11214 42.4, $,..4-
000 $121 $,..4- 2-.,.$20-2, $,..4- $11-4 ,21
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$-1-4- 000 000 $,..4-
$2222E$00- 1,000E$00- $4.,.,.,.E$00- 1111E$00.
0000-240142 $44-4.E$00- 000042-- 202E$00-
$422,E$00- 24,4001E$00- $11,.,.4E$00- 14,111E$00-
0000-,2.1- $-,-0,11E$00- 0000-240142 212-4.0E$00-
$-,-0,11E$00- .-2,-214E$00- $44-4.E$00- -0-2,-,0.E$00-
0000-240142 $44-4.E$00- 000042-- 202E$00-
212-4.0E$00- -0-2,-,0.E$00- 202E$00- 0000124.4
0000-,2.1- $-,-0,11E$00- 0000-240142 .40..422E$00.
0000244,1. 211112-E$00- 0000244-. 00001044
4222E$00- $100222E$00- ,,4000E$00- $14,112E$00-
0000 0000 0000 0000
0000 0000 0000 0000
0000 0000 0000 0000
1000 0000 0000 0000
0000 1000 0000 0000
0000 0000 1000 0000
0000 0000 0000 1000
0000 0000 0000 0000
0000 0000 0000 0000
0000 0000 0000 0000
140441,
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ELEMENTO ,
E 20000000 Kg/ cm2
A 220 cm2
L ,00 cm
EA/L 14.......... Kg/cm
EA/L 14.......... Tn/cm
delta x ,00
delta y 0
angulo 0 0
seno 0
coseno 1
sen2 0
cos2 1
sencos 0
mat!"# de !"g"de# elemento ,
0 14.......... 0 $14...... 0
0 0 0 0 0
0 $14.......... 0 14...... 0
0 0 0 0 0
10 7 5 A+T*ANTE
000 000 000 71 000
000 000 000 72 000
000 $-1-4- $-1-4- 7, 0
$20-2, $-1-4- $-1-4- 74 0
$,..4- 000 000 7- 0
$11-4 000 000 7. $0-
,21 $121 $,..4- 7 02,222- $,..4- $11-4 7 $0-
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$11-4 0-10 210120- 710 $0-
$2222E$00- 120-.04E$020 0 718 00000,.
0000-240142 0000244-. ,,4000E$00- 728 $0000.-2.
$422,E$00- 210-,4E$020 0 7,8 00000.44
0000-,2.1- 0000244,1. 4222E$00- 748 $0000--22
$-,-0,11E$00- 211112-E$00- $100222E$00- 7-8 00000-.1
0000-240142 0000244-. ,,4000E$00- 7.8 $0000.-2.
.40..422E$00. 00001044 $14,112E$00- 78 $00000,2
0000-0,4- 0000244,1. 4222E$00- 78 $0000-.0
0000244,1. 00002.412 $204-4-4-E$00- 78 $0000242
4222E$00- $204-4-4-E$00- .1112E$00- 7108 $000004
0000 0000 0000
0000 0000 0000
0000 0000 0000
0000 0000 0000
0000 0000 0000
0000 0000 0000
0000 0000 0000
1000 0000 0000
0000 1000 0000
0000 0000 1000
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ELEMENTO 4 ELEMENTO -
E 20000000 Kg/ cm2 E
A 220 cm2 A
L 120 cm L
EA/L ,............ Kg/cm EA/L
EA/L ,............ Tn/cm EA/L
delta x 0 delta x
delta y 120 delta y
angulo 1-0.,2. 00241--. angulo
seno 1 seno
coseno .12-422E$01 coseno
sen2 1 sen2
cos2 ,-2414E$0,, cos2
sencos .12-422E$01 sencos
mat!"# de !"g"de# elemento 4 mat!"# de !"g"
0000 0000 0000 0000 0.402
0000 ,...... 0000 $,...... $-.441
0000 0000 0000 0000 $0.402
0000 $,...... 0000 ,...... -.441
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cm
cm
cm
cm
cm
cm
cm
cm
cm
cm
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ELEMENTO .
20000000 Kg/ cm2 E 20000000 Kg/ cm2
220 cm2 A 220 cm2
,..1... cm L 210 cm
1201-401- Kg/cm EA/L 20-2,1 Kg/cm
1201-401- Tn/cm EA/L 20-2,1 Tn/cm
$,00 delta x 0
210 delta y 210
2-,0... 14-00 angulo 1-0.,, 0
0-,4.2,4 seno 1
$012,12 coseno .12-E$01
0,2-0. sen2 1
0.11404 cos2 ,-2-E$0,,
$04... sencos .12-E$01
de# elemento - mat!"# de !"g"de# elemento .
$-.441 $0.402 -.441 0000 0000 0000
,-1,4 -.441 $,-1,4 0000 20-2,1 0000
-.441 0.402 $-.441 0000 0000 0000
$,-1,4 $-.441 ,-1,4 0000 $20-2,1 0000
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ELEMENTO ELEMENTO
E 20000000 Kg/ cm2 E
A 220 cm2 A
L 4242.40. cm L
EA/L 10,0- Kg/cm EA/L
EA/L 10,0- Tn/cm EA/L
delta x ,00 delta x
delta y ,00 delta y
angulo 0-,1. 4- angulo
seno 0010. seno
coseno 0010. coseno
sen2 0- sen2
cos2 0- cos2
sencos 0- sencos
mat!"# de !"g"de# elemento mat!"# de !"g"
0000 -1-4-0 -1-4-0 $-1-4-0 $-1-4-0 0000
$20-2,1 -1-4-0 -1-4-0 $-1-4-0 $-1-4-0 0000
0000 $-1-4-0 $-1-4-0 -1-4-0 -1-4-0 0000
20-2,1 $-1-4-0 $-1-4-0 -1-4-0 -1-4-0 0000
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ELEMENTO
20000000 Kg/ cm2 E 20000000 Kg/ cm2
220 cm2 A 220 cm2
,00 cm L 41.122. cm
14...... Kg/cm EA/L 10-,.01 Kg/cm
14...... Tn/cm EA/L 10-,.01 Tn/cm
0 delta x 400
,00 delta y 120
1-0.,, 0 angulo 0214-. 1..2442
1 seno 02,4
.12-E$01 coseno 0-2.2
1 sen2 002-.1
,-2-E$0,, cos2 014,11
.12-E$01 sencos 02-22,.
de# elemento mat!"# de !"g"de# elemento
0000 0000 0000 ...1, 241 $...1,
14..... 0000 $14..... 241 .-2 $241
0000 0000 0000 $...1, $241 ...1,
$14..... 0000 14..... $241 $.-2 241
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ELEMENTO 10 ELEMENTO 1
E 20000000 Kg/ cm2 E
A 220 cm2 A
L ,1,201- cm L
EA/L 140411 Kg/cm EA/L
EA/L 140411 Tn/cm EA/L
delta x ,00 delta x
delta y 0 delta y
angulo 0214-. 1..2442 angulo
seno 02,4 seno
coseno 0-2.2 coseno
sen2 002-.1 sen2
cos2 014,11 cos2
sencos 02-22,. sencos
mat!"# de !"g"de# elemento 10 mat!"# de !"g"
$241 1212 ,..4-- $1212 $,..4-- 1212
$.-2 ,..4-- 11-,. $,..4-- $11-,. ,..4--
241 $1212 $,..4-- 1212 ,..4-- $1212
.-2 $,..4-- $11-,. ,..4-- 11-,. $,..4--
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20000000 Kg/ cm2
220 cm2
,1,201-cm
140411Kg/cm
140411Tn/cm
,00
0
0214-. 1..2442
02,4
0-2.2
002-.1
014,11
02-22,.
de# elemento 11
,..4-- $1212 $,..4--
11-,. $,..4-- $11-,.
$,..4-- 1212 ,..4--
$11-,. ,..4-- 11-,.
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PROBLEMA 1
ELEMENTO 1
E 2000000 g/cm2
A 1-0 cm2
L 400 cm
EA/L -0000 Kg/cm
EA/L -0 Tn/cm
delta x 400
delta y 0
angulo 0 0
seno 0
coseno 1
sen2 0
cos2 1
sencos 0
mat!"# de !"g"de# elemento 1
-0 0 $-0 0
0 0 0 0
$-0 0 -0 0
0 0 0 0
MATR%& 'E R%(%'E& 'E LA E)TR*+T*RA
1 2 , 4
1 12... $2.,, $-000 000
2 $2.,, 1.,41. 000 000
, $-000 000 1-000 000
4 000 000 000 1-0000
- 000 000 $100000 000
. 000 000 000 000
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10
%N3ER)A 'E LA MATR%& 'E R%(%'E&
00020,00-.. 0000,,,,,,, 00020,00-.. $124,-.04E$01
0000,,,,,,, 0000...... 0000,,,,,,, $2041141E$020
00020,00-.. 0000,,,,,,, 000,,.,, $20.0,2.0E$01
$124,-.04E$01 $2041141E$020 $20.0,2.01E$01 0000......
00020,00-.. 0000,,,,,,, 000,,.,, $20.0,2.0E$01
$000,04-0- $0000- $000-04-0- ,0040,E$01
K$1
1000 0000 0000 0000
0000 1000 0000 0000
0000 0000 1000 0000
0000 0000 0000 1000
0000 0000 0000 0000
0000 0000 0000 0000
ELEM 4$2 ELEMENTO , 'ELTA 5*ER&A E6TREMO
51 0000 $140000
52 0000 00000
5, 0002.421 140000
54 00000.. $00000
ELEM 4$, ELEMENTO 4 'ELTA 5*ER&A E6TREMO
51 0000000000 000000
52 0000000000 000000
5, 000,420 $000000
54 $0000000000 $000000
ELEM 4$- ELEMENTO - 'ELTA 5*ER&A E6TREMO
51 00000 00000
52 00000 0.0000
5, 0004 $00000
54 $000- $0.0000
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ELEMENTO 2 ELEMENTO ,
E 2000000 Kg/ cm2 E
A 1-0 cm2 A
L 200 cm L
EA/L 1-00000 Kg/cm EA/L
EA/L 1-00 Tn/cm EA/L
delta x 0 delta x
delta y 200 delta y
angulo 1-0.,2. 0 angulo
seno 1 seno
coseno .12-422E$01 coseno
sen2 1 sen2
cos2 ,-2414E$0,, cos2
sencos .12-422E$01 sencos
mat!"# de !"g"de# elemento2 mat!"# de !"g"de# e
000 000 $000 $000 -,..-.
000 19-0000 $000 $19-0000 $2.,2
$000 $000 000 000 $-,..-.
$000 $19-0000 000 19-0000 2.,2
- .
000 000
000 000
$100000 000
000 000
1-.0, ,402
,402 2-.02
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00020,00-.. $000,04-0-
0000,,,,,,, $0000-
000,,.,, $000-04-0-
$20.0,2.0E$01 ,0040,E$01
0004,.,, $000.-4-0-
$000.-4-0- 001,2,.41,
0000 0000
0000 0000
0000 0000
0000 0000
1000 0000
0000 1000
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ELEMENTO 4
2000000 Kg/ cm2 E 2000000
1-0 cm2 A 1-0
4421,--- cm L 200
.020,,24 Kg/cm EA/L 1-00000
.020,,24 Tn/cm EA/L 1-00
$400 delta x 0
200 delta y 200
2.4-044. 1-,4,442, angulo 1-0.,2.
04421,--- seno 1
$044211 coseno .12-422E$01
02 sen2 1
0 cos2 ,-2414E$0,,
$04 sencos .12-422E$01
lemento , mat!"# de !"g"de# elemento 4
$2.,2 $-,..-. 2.,2 0000 0000
1,41.4 2.,2 $1,41.4 0000 1-00000
2.,2 -,..-. $2.,2 0000 0000
$1,41.4 $2.,2 1,41.4 0000 $1-00000
10 7 5 A+T*ANTE
71 0-0
72 $0.0
7, 0
74 0
7- 0
7. $0.
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718 0002.421 cm
728 00000.. cm
7,8 000,421 cm
748 $00000000 cm
7-8 0004421 cm
7.8 $0004-. cm
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ELEMENTO -
Kg/ cm2 E 2000000 Kg/ cm2
cm2 A 1-0 cm2
cm L ,.0---12 cm
Kg/cm EA/L ,20-024 Kg/cm
Tn/cm EA/L ,20-024Tn/cm
delta x ,00
delta y 200
0 angulo 0-002. ,,.00.-
seno 0--4002
coseno 0,20-02
sen2 0,0.2,1
cos2 0.2,0.
sencos 04.1-,4.
mat!"# de !"g"de# elemento -
0000 0000 -.0,- ,402, $-.0,- $,402,
0000 $1-00000 ,402, 2-.01- $,402, $2-.01-
0000 0000 $-.0,- $,402, -.0,- ,402,
0000 1-00000 $,402, $2-.01- ,402, 2-.01-
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ELEMENTO . ELEMENTO
E 2000000 Kg/ cm2 E 2000000
A 1-0 cm2 A 1-0
L 400 cm L ,00
EA/L -0000 Kg/cm EA/L 1000000
EA/L -0 Tn/cm EA/L 1000
delta x 400 delta x ,00
delta y 0 delta y 0
angulo 0 0 angulo 0
seno 0 seno 0
coseno 1 coseno 1
sen2 0 sen2 0
cos2 1 cos2 1
sencos 0 sencos 0
mat!"# de !"g"de# elemento . mat!"# de !"g"de# element
-0000 0000 $-0000 0000 1000000 0000
0000 0000 0000 0000 0000 0000
$-0000 0000 -0000 0000 $1000000 0000
0000 0000 0000 0000 0000 0000
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Kg/ cm2
cm2
cm
Kg/cm
Tn/cm
0
$1000000 0000
0000 0000
1000000 0000
0000 0000
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