TRABAJO-PRÁCTICO-N-4-PÓRTICO-2D-MÉTODO-MATRICIAL-EJERCICIO-N1-6
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Transcript of TRABAJO-PRÁCTICO-N-4-PÓRTICO-2D-MÉTODO-MATRICIAL-EJERCICIO-N1-6
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TRABAJO PRÁCTICO N° 4 - PÓRTICO 2D MÉTCoordend!
Nodo " # $" $# %& '" '# M&1 0 3.5 Δ1 Δ2 θ3 F1 F2 M3
2 4 3.5 Δ4 Δ5 θ6 F4 F5 M6
3 8 3.5 Δ7 Δ8 θ9 F7 F8 M94 0 0 Δ10 Δ11 θ12 F10 F11 M12
5 4 0 Δ13 Δ14 θ15 F13 F14 M15
Mr& de r*de& de +d e,eeno
viga1
Nodo " # $" $# %& '" '# M&1 0 3.5 Δ1 Δ2 θ3 F1 F2 M3
2 4 3.5 Δ4 Δ5 θ6 F4 F5 M6
L = 4.00 m b = 0.30 m E = 5000000 kg/m²
λx= 1.00 h = 0.40 m I = 0.0016 m4
λy= 0.00 A = 0.12 m²
1.00 0.00 0 0 0 0 150000.00 0 0
0.00 1.00 0 0 0 0 0 1500.00 3000.00
1 =0 0 1 0 0 0 0 3000.00 8000.00
0 0 0 1.00 0.00 0 !150000.00 0 0
0 0 0 0.00 1.00 0 0 !1500.00 !3000.00
0 0 0 0 0 1 0 3000.00 4000.00
Δ1 Δ2 θ3 Δ4 Δ5 θ6 D150000.00 0.00 0.00 !150000.00 0.00 0.00 Δ1 0.0095
0.00 1500.00 3000.00 0.00 !1500.00 3000.00 Δ2 !0.0114
1 =0.00 3000.00 8000.00 0.00 !3000.00 4000.00 θ3 !0.0185
!150000.00 0.00 0.00 150000.00 0.00 0.00 Δ4 0.0043
"#$# i
"#$# f
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0.00 !1500.00 !3000.00 0.00 1500.00 !3000.00 Δ5 !0.0204
0.00 3000.00 4000.00 0.00 !3000.00 8000.00 θ6 !0.0213
viga2
Nodo " # $" $# %& '" '# M&2 4 3.5 Δ4 Δ5 θ6 F4 F5 M6
3 8 3.5 Δ7 Δ8 θ9 F7 F8 M9
L = 4.00 m b = 0.30 m E = 5000000 kg/m²
λx= 1.00 h = 0.40 m I = 0.0016 m4
λy= 0.00 A = 0.12 m²
1.00 0.00 0 0 0 0 150000.00 0 0
0.00 1.00 0 0 0 0 0 1500.00 3000.00
2 =0 0 1 0 0 0 0 3000.00 8000.00
0 0 0 1.00 0.00 0 !150000.00 0 0
0 0 0 0.00 1.00 0 0 !1500.00 !3000.000 0 0 0 0 1 0 3000.00 4000.00
Δ4 Δ5 θ6 Δ7 Δ8 θ9 D150000.00 0.00 0.00 !150000.00 0.00 0.00 Δ4 0.0043
0.00 1500.00 3000.00 0.00 !1500.00 3000.00 Δ5 !0.0204
2 =0.00 3000.00 8000.00 0.00 !3000.00 4000.00 θ6 !0.0213
!150000.00 0.00 0.00 150000.00 0.00 0.00 Δ7 0.00
0.00 !1500.00 !3000.00 0.00 1500.00 !3000.00 Δ8 0.00
0.00 3000.00 4000.00 0.00 !3000.00 8000.00 θ9 0.00
columna1
Nodo " # $" $# %& '" '# M&4 0 0 Δ10 Δ11 θ12 F10 F11 M12
1 0 3.5 Δ1 Δ2 θ3 F1 F2 M3
L = 3.50 m b = 0.30 m E = 5000000 kg/m²
"#$# i
"#$# f
"#$# i
"#$# f
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λx= 0.00 h = 0.40 m I = 0.0016 m4
λy= 1.00 A = 0.12 m²
0.00 !1.00 0 0 0 0 171428.57 0 0
1.00 0.00 0 0 0 0 0 2239.07 3918.37
3 =
0 0 1 0 0 0 0 3918.37 9142.86
0 0 0 0.00 !1.00 0 !171428.57 0 0
0 0 0 1.00 0.00 0 0 !2239.07 !3918.37
0 0 0 0 0 1 0 3918.37 4571.43
Δ10 Δ11 θ12 Δ1 Δ2 θ3 D2239.07 0.00 !3918.37 !2239.07 0.00 !3918.37 Δ10 0.00
0.00 171428.57 0.00 0.00 !171428.57 0.00 Δ11 0.00
3 =!3918.37 0.00 9142.86 3918.37 0.00 4571.43 θ12 0.00
!2239.07 0.00 3918.37 2239.07 0.00 3918.37 Δ1 0.0095
0.00 !171428.57 0.00 0.00 171428.57 0.00 Δ2 !0.0114!3918.37 0.00 4571.43 3918.37 0.00 9142.86 θ3 !0.0185
columna2
Nodo " # $" $# %& '" '# M&5 4 0 Δ13 Δ14 θ15 F13 F14 M15
2 4 3.5 Δ4 Δ5 θ6 F4 F5 M6
L = 3.50 m b = 0.30 m E = 5000000 kg/m²
λx= 0.00 h = 0.40 m I = 0.0016 m4
λy= 1.00 A = 0.12 m²
0.00 !1.00 0 0 0 0 171428.57 0 0
1.00 0.00 0 0 0 0 0 2239.07 3918.37
4 =0 0 1 0 0 0 0 3918.37 9142.86
0 0 0 0.00 !1.00 0 !171428.57 0 0
0 0 0 1.00 0.00 0 0 !2239.07 !3918.37
"#$# i
"#$# f
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0 0 0 0 0 1 0 3918.37 4571.43
Δ13 Δ14 θ15 Δ4 Δ5 θ6 D2239.07 0.00 !3918.37 !2239.07 0.00 !3918.37 Δ13 0.00
0.00 171428.57 0.00 0.00 !171428.57 0.00 Δ14 0.00
4 =
!3918.37 0.00 9142.86 3918.37 0.00 4571.43 θ15 0.00
!2239.07 0.00 3918.37 2239.07 0.00 3918.37 Δ4 0.0043
0.00 !171428.57 0.00 0.00 171428.57 0.00 Δ5 !0.0204
!3918.37 0.00 4571.43 3918.37 0.00 9142.86 θ6 !0.0213
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DO MATRICIAL - EJERCICIO N°1 (6)
" = 5 %#$# &x &y M'
()L = 15 1 0.00 !450.00 225.00
g$* = 9 2 0.00 0.00 0.00
g$+ = 6 3 !643.01 2194.57 !1621.52
4 !420.89 1954.14 !488.40
5 563.91 1954.14 !488.40
!150000.00 0 0 1.00 0.00 0 0 0 0
0 !1500.00 3000.00 0.00 1.00 0 0 0 0
0 !3000.00 4000.00 0 0 1 0 0 0
150000.00 0 0 0 0 0 1.00 0.00 0
0 1500.00 !3000.00 0 0 0 0.00 1.00 0
0 !3000.00 8000.00 0 0 0 0 0 1
./0D RE3 / 3 n,e!779.10 0.00 779.10 &x,
!106.01 1610.15 1504.14 &y,
!206.47 - 1151.56 = 945.09 M',
!779.10 0.00 !779.10 &x+
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106.01 1389.84 1495.85 &y+
!217.57 !1010.94 !1228.51 M'+
!150000.00 0 0 1.00 0.00 0 0 0 0
0 !1500.00 3000.00 0.00 1.00 0 0 0 0
0 !3000.00 4000.00 0 0 1 0 0 0
150000.00 0 0 0 0 0 1.00 0.00 0
0 1500.00 !3000.00 0 0 0 0.00 1.00 00 !3000.00 8000.00 0 0 0 0 0 1
./0D RE3 / 3 n,e!643.01 0.00 643.01 &x,
!94.57 2100.00 2005.43 &y,
!231.77 - 1475.00 = 1243.23 M',
!643.01 0.00 !643.01 &x+
94.57 2100.00 2194.57 &y+
!146.52 !1475.00 !1621.52 M'+
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!171428.57 0 0 0.00 1.00 0 0 0 0
0 !2239.07 3918.37 !1.00 0.00 0 0 0 0
0 !3918.37 4571.43 0 0 1 0 0 0
171428.57 0 0 0 0 0 0.00 1.00 0
0 2239.07 !3918.37 0 0 0 !1.00 0.00 0
0 !3918.37 9142.86 0 0 0 0 0 1
./0D RE3 / 3 n,e!51.41 !472.30 !420.89 &x,
1954.14 0.00 1954.14 &y,
!47.59 - !440.81 = !488.40 M',
!51.41 !727.69 !779.10 &x+
!1954.14 0.00 !1954.14 &y+ !132.33 !587.76 !720.09 M'+
!171428.57 0 0 0.00 1.00 0 0 0 0
0 !2239.07 3918.37 !1.00 0.00 0 0 0 0
0 !3918.37 4571.43 0 0 1 0 0 0
171428.57 0 0 0 0 0 0.00 1.00 0
0 2239.07 !3918.37 0 0 0 !1.00 0.00 0
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0 !3918.37 9142.86 0 0 0 0 0 1
./0D RE3 / 3 n,e!73.91 490.00 563.91 &x,
3501.28 0.00 3501.28 &y,
!80.63 - !245.00 = !325.63 M',
!73.91 210.00 136.09 &x+
!3501.28 0.00 !3501.28 &y+
!178.05 163.33 !14.72 M'+
