Post on 18-Feb-2018
7/23/2019 EJERCICIO ANALISIS 22
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EJERCICIO 1
ELEMENTO 1
L 5.6568542495 M
E 2.00E+08 KN/M2
A 0.0125 M2
I 3.38542E-005 M4
ø 45 grad! 0."8539816 rad#a$%!
AE/L 4.42E+05
4.49E+02
1.2"E+03
4EI/L 4."9E+03
2EI/L 2.39E+030."0"106"812
0."0"106"812
&1 '1 ø1 &2 '2
2.21E+05 220"46.446 -89".694156 -2.21E+05 -220"46.446
220"46.44558 2.21E+05 89".694156 -220"46.446 -2.21E+05
-89".6941558 89".694156 4."9E+03 89".694156 -89".694156
-2.21E+05 -220"46.446 89".694156 221195.293 220"46.446
-220"46.4456 -2.21E+05 -89".694156 220"46.446 2.21E+05
-89".6941558 89".694156 2.39E+03 89".694156 -89".694156
EN(AM)LAN*O LA MATRI *EL (I(TEMA
&1 '1 ø1
,1 ,1 2.21E+05 2.21E+05 -8.98E+02
1 1 2.21E+05 2.21E+05 8.98E+02
M1 M1 -8.98E+02 8.98E+02 4."9E+03
,2 0 -2.21E+05 -2.21E+05 8.98E+02
2 0 -2.21E+05 -2.21E+05 -8.98E+02M2 0 -8.98E+02 8.98E+02 2.39E+03
,3 ,3
3 3
M3 M3
OR*ENAN*O EL (I(TEMA MATRICIAL
&2 '2 ø2
0 8.46E+05 2.21E+05 8.98E+02
0 2.21E+05 2.22E+05 1.64E+03
0 8.98E+02 1.64E+03 1.16E+04,1 -2.21E+05 -2.21E+05 -8.98E+02
1 2 21E+05 2 21E+05 8 98E+02
12EI/L3
6EI/L2
(EN ø
CO( ø
7/23/2019 EJERCICIO ANALISIS 22
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M1 8.98E+02 -8.98E+02 2.39E+03
,3 -6.25E+05 0.00E+00 0.00E+00
3 0.00E+00 -1.2"E+03 -2.54E+03
M3 0.00E+00 2.54E+03 3.39E+03
RE(OLIEN*O EL (I(TEMA ENCONTRAMO( LA( *EORMACIONE(
INER(A *E E(TA MATRI
&2 8.46E+05 2.21E+05 8.98E+02
'2 2.21E+05 2.22E+05 1.64E+03
ø2 8.98E+02 1.64E+03 1.16E+04
CALCLO *E REACCIONE(
,3 -2.21E+05 -2.21E+05 -8.98E+02
3 -2.21E+05 -2.21E+05 8.98E+02
M3 8.98E+02 -8.98E+02 2.39E+03
0 -6.25E+05 0.00E+00 0.00E+00
0 0.00E+00 -1.2"E+03 -2.54E+03
&2 0.00E+00 2.54E+03 3.39E+03
7/23/2019 EJERCICIO ANALISIS 22
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ELEMENTO 2
L 4 M
E 2.00E+08 KN/M2
A 0.0125 M2
I 3.38541"E-005 M4
ø 0 grad! 0
AE/L 6.25E+05
1.2"E+03
2.54E+03
4EI/L 6.""E+03
2EI/L 3.39E+03
0
1
ø2 &2 '2 ø2
-89".694156 &1 6.25E+05 0 0
89".694156 '1 0 1.2"E+03 2539.0625
2.39E+03 ø1 0 2539.0625 6.""E+03
89".694156 &2 -6.25E+05 0 0
-89".694156 '2 0 -1.2"E+03 -2539.0625
4."9E+03 ø2 0 2539.0625 3.39E+03
&2 '2 ø2 &3 '3 ø3
-2.21E+05 -2.21E+05 -8.98E+02
-2.21E+05 -2.21E+05 8.98E+02
8.98E+02 -8.98E+02 2.39E+03
8.46E+05 2.21E+05 8.98E+02 -6.25E+05 0.00E+00 0.00E+00
2.21E+05 2.22E+05 1.64E+03 0.00E+00 -1.2"E+03 2.54E+038.98E+02 1.64E+03 1.16E+04 0.00E+00 -2.54E+03 3.39E+03
-6.25E+05 0.00E+00 0.00E+00 6.25E+05 0.00E+00 0.00E+00
0.00E+00 -1.2"E+03 -2.54E+03 0.00E+00 1.2"E+03 -2.54E+03
0.00E+00 2.54E+03 3.39E+03 0.00E+00 -2.54E+03 6.""E+03
&2 &2 ,2 -3.53553391
'2 '2 2 13.5355339
ø2 ø2 M2 -0.40440115&1 0 ,1 -3.53553391
'1 0 + 1 3 53553391
12EI/L3
6EI/L2
(EN ø
CO( ø
7/23/2019 EJERCICIO ANALISIS 22
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ø1 0 M1 ".0"106"81
&3 0 ,3 0
'3 0 3 10
ø3 0 M3 -6.6666666"
3.5355339059 2."10610E-005
-13.53553391 -8.80"509E-005
0.4044011452 4.538913E-005
2."1061E-005 -3.5355339059 9.8"0
-8.80"51E-005 + 3.5355339059 1".0"4
4.53891E-005 ".0"106"8119 ".283
0 -16.941
10 9.99"
-6.666666666" -6."3"
7/23/2019 EJERCICIO ANALISIS 22
http://slidepdf.com/reader/full/ejercicio-analisis-22 5/20
rad#a$%!
&3 '3 ø3
-6.25E+05 0 0 &2
0 -1.2"E+03 2539.0625'2
0 -2539.0625 3.39E+03ø2
625000 0 0 &3
0 1.2"E+03 -2539.0625'3
0 -2539.0625 6.""E+03ø3
&1 0 ,1 -3.53553391
'1 0 1 3.53553391
ø1 0 M1 ".0"106"81
&2 &2 ,2 -3.53553391
'2 '2 + 2 13.5355339ø2 ø2 M2 -0.40440115
&3 0 ,3 0
'3 0 3 10
ø3 0 M3 -6.6666666"
7/23/2019 EJERCICIO ANALISIS 22
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7/23/2019 EJERCICIO ANALISIS 22
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EJERCICIO 1
ELEMENTO 1 - IA
L 6 M
E 2.50E+0" KN/M2A 0.15 M2
I 0.003125 M4
ø 0 grad! 0 rad#a$%!
AE/L 6.25E+05
4.34E+03
1.30E+04
4EI/L 5.21E+04
2EI/L 2.60E+04
01
&1 '1 ø1 &2 '2
6.25E+05 0 0 -6.25E+05 0
0 4.34E+03 13020.8333 0 -4.34E+03
0 13020.8333 5.21E+04 0 -13020.8333
-6.25E+05 0 0 625000 0
0 -4.34E+03 -13020.8333 0 4.34E+03
0 13020.8333 2.60E+04 0 -13020.8333
EN(AM)LAN*O LA MATRI *EL (I(TEMA
&1 '1 ø1
,1 20 6.49E+05 2.41E-10 3.56E+04
1 0 2.41E-10 1.34E+06 1.30E+04
M1 0 3.56E+04 1.30E+04 1.23E+05
,2 0 -6.25E+05 0.00E+00 0.00E+00
2 0 0.00E+00 -4.34E+03 -1.30E+04
M2 0 0.00E+00 1.30E+04 2.60E+04,3 0
3 -20
M3 -20
,4 ,4 -2.3"E+04 -2.41E-10 -3.56E+04
4 4 -2.41E-10 -1.33E+06 6.53E-12
M4 M4 3.56E+04 -6.53E-12 3.56E+04
,5 ,5
5 5
12EI/L3
6EI/L2
(EN øCO( ø
7/23/2019 EJERCICIO ANALISIS 22
http://slidepdf.com/reader/full/ejercicio-analisis-22 8/20
M5 M5
,6 ,6
6 6
M6 M6
RE(OLIEN*O EL (I(TEMA ENCONTRAMO( LA( *EORMACIONE(
&1 6.49E+05 2.41E-10 3.56E+04
'1 2.41E-10 1.34E+06 1.30E+04
ø1 3.56E+04 1.30E+04 1.23E+05
&2 -6.25E+05 0.00E+00 0.00E+00
'2 0.00E+00 -4.34E+03 -1.30E+04
ø2 0.00E+00 1.30E+04 2.60E+04&3 0.00E+00 0.00E+00 0.00E+00
'3 0.00E+00 0.00E+00 0.00E+00
ø3 0.00E+00 0.00E+00 0.00E+00
CALCLO *E REACCIONE(
,4 -2.3"E+04 -2.41E-10 -3.56E+04
4 -2.41E-10 -1.33E+06 6.53E-12
M4 3.56E+04 -6.53E-12 3.56E+04
,5 0.00E+00 0.00E+00 0.00E+00
5 0.00E+00 0.00E+00 0.00E+00
M5 0.00E+00 0.00E+00 0.00E+00
,6 0.00E+00 0.00E+00 0.00E+00
6 0.00E+00 0.00E+00 0.00E+00
M6 0.00E+00 0.00E+00 0.00E+00
7/23/2019 EJERCICIO ANALISIS 22
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ELEMENTO 2 - IA
L 6 M
E 2.50E+0" KN/M2A 0.15 M2
I 0.003125 M4
ø 0 grad! 0
AE/L 6.25E+05
4.34E+03
1.30E+04
4EI/L 5.21E+04
2EI/L 2.60E+04
01
ø2 &2 '2 ø2
0 &1 6.25E+05 0 0
13020.8333 '1 0 4.34E+03 13020.8333
2.60E+04ø1 0 13020.8333 5.21E+04
0 &2 -6.25E+05 0 0
-13020.8333 '2 0 -4.34E+03 -13020.8333
5.21E+04ø2 0 13020.8333 2.60E+04
&2 '2 ø2 &3 '3 ø3
-6.25E+05 0.00E+00 0.00E+00
0.00E+00 -4.34E+03 1.30E+04
0.00E+00 -1.30E+04 2.60E+04
1.2"E+06 2.41E-10 3.56E+04 -6.25E+05 0.00E+00 0.00E+00
2.41E-10 1.34E+06 -6.53E-12 0.00E+00 -4.34E+03 1.30E+04
3.56E+04 -6.53E-12 1."5E+05 0.00E+00 -1.30E+04 2.60E+04-6.25E+05 0.00E+00 0.00E+00 6.49E+05 2.41E-10 3.56E+04
0.00E+00 -4.34E+03 -1.30E+04 2.41E-10 1.34E+06 -1.30E+04
0.00E+00 1.30E+04 2.60E+04 3.56E+04 -1.30E+04 1.23E+05
-2.3"E+04 -2.41E-10 -3.56E+04
-2.41E-10 -1.33E+06 6.53E-12
12EI/L3
6EI/L2
(EN øCO( ø
7/23/2019 EJERCICIO ANALISIS 22
http://slidepdf.com/reader/full/ejercicio-analisis-22 10/20
3.56E+04 -6.53E-12 3.56E+04
-2.3"E+04 -2.41E-10 -3.56E+04
-2.41E-10 -1.33E+06 6.53E-12
3.56E+04 -6.53E-12 3.56E+04
INER(A *E E(TA MATRI
-6.25E+05 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00
0.00E+00 -4.34E+03 1.30E+04 0.00E+00 0.00E+00 0.00E+00
0.00E+00 -1.30E+04 2.60E+04 0.00E+00 0.00E+00 0.00E+00
1.2"E+06 2.41E-10 3.56E+04 -6.25E+05 0.00E+00 0.00E+00
2.41E-10 1.34E+06 -6.53E-12 0.00E+00 -4.34E+03 1.30E+04
3.56E+04 -6.53E-12 1."5E+05 0.00E+00 -1.30E+04 2.60E+04-6.25E+05 0.00E+00 0.00E+00 6.49E+05 2.41E-10 3.56E+04
0.00E+00 -4.34E+03 -1.30E+04 2.41E-10 1.34E+06 -1.30E+04
0.00E+00 1.30E+04 2.60E+04 3.56E+04 -1.30E+04 1.23E+05
0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00
0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00
0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00
-2.3"E+04 -2.41E-10 -3.56E+04 0.00E+00 0.00E+00 0.00E+00
-2.41E-10 -1.33E+06 6.53E-12 0.00E+00 0.00E+00 0.00E+00
3.56E+04 -6.53E-12 3.56E+04 0.00E+00 0.00E+00 0.00E+00
0.00E+00 0.00E+00 0.00E+00 -2.3"E+04 -2.41E-10 -3.56E+04
0.00E+00 0.00E+00 0.00E+00 -2.41E-10 -1.33E+06 6.53E-12
0.00E+00 0.00E+00 0.00E+00 3.56E+04 -6.53E-12 3.56E+04
7/23/2019 EJERCICIO ANALISIS 22
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ELEMENTO 3 - COLMNA
L 3
E 2.50E+0"A 0.16
I 0.00213333
rad#a$%! ø 2"0
AE/L 1.33E+06
2.3"E+04
3.56E+04
4EI/L ".11E+04
2EI/L 3.56E+04
-1-1.838E-016
&3 '3 ø3 &1
-6.25E+05 0 0 &2 2.3"E+04
0 -4.34E+03 13020.8333 '2 2.406"E-010
0 -13020.8333 2.60E+04ø2 35555.5556
625000 0 0 &3 -2.3"E+04
0 4.34E+03 -13020.8333 '3 -2.40"E-010
0 -13020.8333 5.21E+04ø3 35555.5556
&4 '4 ø4 &5 '5 ø5
-2.3"E+04 -2.41E-10 3.56E+04
-2.41E-10 -1.33E+06 -6.53E-12
-3.56E+04 6.53E-12 3.56E+04
-2.3"E+04 -2.41E-10 3.56E+04
-2.41E-10 -1.33E+06 -6.53E-12
-3.56E+04 6.53E-12 3.56E+04
2.3"E+04 2.41E-10 -3.56E+04
2.41E-10 1.33E+06 6.53E-12
-3.56E+04 6.53E-12 ".11E+04
2.3"E+04 2.41E-10 -3.56E+04
2.41E-10 1.33E+06 6.53E-12
12EI/L3
6EI/L2
(EN øCO( ø
7/23/2019 EJERCICIO ANALISIS 22
http://slidepdf.com/reader/full/ejercicio-analisis-22 12/20
-3.56E+04 6.53E-12 ".11E+04
20 ALE
-30 ALE
-30 ALE
0 ALE
-60 ALE
0 ALE0 ALE
-50 ALE
10 ALE
0.00055612 0 ALE
ALE 0 ALE
ALE 0 ALE
ALE 0 ALE
ALE + 0 ALE
ALE 0 ALE
ALE 0 ALE
ALE 0 ALE
ALE 0 ALE
7/23/2019 EJERCICIO ANALISIS 22
http://slidepdf.com/reader/full/ejercicio-analisis-22 13/20
M
KN/M2M2
M4
grad! 4."1238898 rad#a$%!
'1 ø1 &4 '4 ø4
2.406"E-010 35555.5556 -2.3"E+04 -2.40"E-010 35555.5556 &1
1.33E+06 -6.534E-012 -2.40"E-010 -1.33E+06 -6.534E-012 '1
-6.534E-012 ".11E+04 -35555.5556 6.5341E-012 3.56E+04ø1
-2.40"E-010 -35555.5556 23"03."03" 2.406"E-010 -35555.5556&4
-1.33E+06 6.5341E-012 2.406"E-010 1.33E+06 6.5341E-012 '4
-6.534E-012 3.56E+04 -35555.5556 6.5341E-012 ".11E+04ø4
&6 '6 ø6
&1 &1
'1 '1
ø1 ø1
&2 &2
'2 '2
ø2 ø2-2.3"E+04 -2.41E-10 3.56E+04 &3 &3
-2.41E-10 -1.33E+06 -6.53E-12 '3 '3
-3.56E+04 6.53E-12 3.56E+04 ø3 ø3 +
&4 0
'4 0
ø4 0
&5 0
'5 0
7/23/2019 EJERCICIO ANALISIS 22
http://slidepdf.com/reader/full/ejercicio-analisis-22 14/20
ø5 0
2.3"E+04 2.41E-10 -3.56E+04 &6 0
2.41E-10 1.33E+06 6.53E-12 '6 0
-3.56E+04 6.53E-12 ".11E+04 ø6 0
7/23/2019 EJERCICIO ANALISIS 22
http://slidepdf.com/reader/full/ejercicio-analisis-22 15/20
ELEMENTO 4 - COLMNA
L 3 M
E 2.50E+0" KN/M2A 0.16 M2
I 0.00213333 M4
ø 2"0 grad! 4."1238898 rad#a$%!
AE/L 1.33E+06
2.3"E+04
3.56E+04
4EI/L ".11E+04
2EI/L 3.56E+04
-1-1.838E-016
&2 '2 ø2 &5 '5
2.3"E+04 2.406"E-010 35555.5556 -2.3"E+04 -2.40"E-010
2.406"E-010 1.33E+06 -6.534E-012 -2.40"E-010 -1.33E+06
35555.5556 -6.534E-012 ".11E+04 -35555.5556 6.5341E-012
-2.3"E+04 -2.40"E-010 -35555.5556 23"03."03" 2.406"E-010
-2.40"E-010 -1.33E+06 6.5341E-012 2.406"E-010 1.33E+06
35555.5556 -6.534E-012 3.56E+04 -35555.5556 6.5341E-012
,1 0
1 30
M1 30
,2 0
2 60
M2 0,3 0
3 30
M3 -30
,4 0
4 0
M4 0
,5 0
5 0
12EI/L3
6EI/L2
(EN øCO( ø
7/23/2019 EJERCICIO ANALISIS 22
http://slidepdf.com/reader/full/ejercicio-analisis-22 16/20
M5 0
,6 0
6 0
M6 0
7/23/2019 EJERCICIO ANALISIS 22
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ELEMENTO 5 - COLMNA
L 3 M
E 2.50E+0" KN/M2A 0.16 M2
I 0.00213333 M4
ø 2"0 grad! 4."1238898
AE/L 1.33E+06
2.3"E+04
3.56E+04
4EI/L ".11E+04
2EI/L 3.56E+04
-1-1.838E-016
ø5 &3 '3 ø3
35555.5556 &2 2.3"E+04 2.406"E-010 35555.5556
-6.534E-012 '2 2.406"E-010 1.33E+06 -6.534E-012
3.56E+04ø2 35555.5556 -6.534E-012 ".11E+04
-35555.5556 &5 -2.3"E+04 -2.40"E-010 -35555.5556
6.5341E-012 '5 -2.40"E-010 -1.33E+06 6.5341E-012
".11E+04ø5 35555.5556 -6.534E-012 3.56E+04
12EI/L3
6EI/L2
(EN øCO( ø
7/23/2019 EJERCICIO ANALISIS 22
http://slidepdf.com/reader/full/ejercicio-analisis-22 18/20
7/23/2019 EJERCICIO ANALISIS 22
http://slidepdf.com/reader/full/ejercicio-analisis-22 19/20
rad#a$%!
&6 '6 ø6
-2.3"E+04 -2.40"E-010 35555.5556 &3
-2.40"E-010 -1.33E+06 -6.534E-012'3
-35555.5556 6.5341E-012 3.56E+04ø3
23"03."03" 2.406"E-010 -35555.5556 &6
2.406"E-010 1.33E+06 6.5341E-012'6
-35555.5556 6.5341E-012 ".11E+04ø6
7/23/2019 EJERCICIO ANALISIS 22
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