Post on 07-Jul-2018
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LA RIGIDEZ -- ING.CIVIL
NALISIS ESTRUCTURAL II
UNA VEGA DIEGO ANDRE
II
RESOLVER:
PRIMER TRAMO
A - B 1.00 Tn
tud 5.00 m
e 0.30 m
te 0.50 m
210 kgcm! 2173706.51192842 tnm!
0.003125 m"
6792.8328497763 Tn-m!
0.15 m!
# 2.0833333333 T-m
# -2.0833333333 T-m
s las matrices de rigide%&PRIMER TRAMO
A - B0 0 -65211.19536 0 0
52.1119536 1630.2798839463 0 -652.11195 1630.2798839463
630.279884 5434.266279821 0 -1630.2799 2717.1331399105
0 0 65211.19536 0 0
'B
m 4 mm
θ 2 θ 3m 1 Tn/m
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52.1119536 -1630.2798839463 0 652.11195 -1630.2798839463
630.279884 2717.1331399105 0 -1630.2799 5434.266279821
co& 12227.09912959730 1 entonces2 3396.4164248882
8.788894686E-005
-2.19722367E-005
FUERZAS
EXTREMO
F1
F2
F3
F4
F5
F6
ELE
Fuerz
F1
F2
F3
F4
F5
F6
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MAB =
MBA =
MB =
MB =
M! =
M! =
MA =
MB =
M =
M! =
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4E85*+O TRAMO
B - 'W 1.00 Tn
Longitud 4.00 m
base 0.30 m
peralte 0.50 m
fc 210 kgcm!E 2173706.51192842 tnm!
I 0.003125 m"
EI 6792.8328497763 Tn-m!
A 0.15 m!
MB'# 1.3333333333 T-m
M'B# -1.3333333333 T-m
4E85*+O TRAMO
B - '513.9942 0 0 -81513.994197 0
0 1273.65615933 2547.3123186661 0 -1273.656159
0 2547.31231867 6792.8328497763 0 -2547.312319
513.9942 0 0 81513.9941973 0
+
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0 -1273.6561593 -2547.3123186661 0 1273.656159
0 2547.31231867 3396.4164248882 0 -2547.312319
)I*AL
θ2=
0.75
θ3 0
R4A
θ2 6.59167101461E-005
θ3 -1.6479177537E-005
4 E6TREMO4 +E LO4 ELEME*TO4
ELEMENTO 2 ELEMENTO 3
uerzas "# $uerzas "# $uerzas
0.000 0 0.000 0 0.000
0.107 0 0.126 0 -0.042
0.179 0.00007 0.392 -0.00002 -0.112
0.000 0 0.000 0 0.000
0.107 0 -0.126 0 0.042
0.358 -0.00002 0.112 0 -0.056
*TO4 +E LO4 ELEME*TO4
ELEMENTO 2 ELEMENTO 3
Fuerzas actuantes Fuerzas actuantes
F1 0.000 F1 0.000
F2 2.126 F2 1.958
F3 1.725 F3 1.221
F4 0.000 F4 0.000
F5 1.874 F5 2.042
F6 -1.221 F6 -1.389
9
0
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REA''IO*E4
Tn%& RA = 2.607 Tn
Tn%& RB = 4.518 Tn
Tn%& R = 3.832 Tn
Tn%& R! = 2.042 Tn
Tn%&
Tn%&
Tn%&
Tn%&
Tn%&
Tn%&
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TER'ER TRAMO
' - +W 1.00 Tn
Longitud 4.00 m
base 0.30 m
peralte 0.50 m
fc 210 kgcm!E 2173706.51192842 tnm!
I 0.003125 m"
EI 6792.8328497763 Tn-m!
A 0.15 m!
M'+# 1.3333333333 T-m
M+'# -1.3333333333 T-m
TER'ER TRAMO
' - +1513.9942 0 0 -81513.9942 0
0 1273.656159 2547.3123186661 0 -1273.656159
0 2547.312319 6792.8328497763 0 -2547.312319
81513.9942 0 0 81513.9942 0
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0 -1273.656159 -2547.3123186661 0 1273.656159
0 2547.312319 3396.4164248882 0 -2547.312319
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LA RIGIDEZ -- ING.CIVIL
NALISIS ESTRUCTURAL II
UNA VEGA DIEGO ANDRE
II
RESOLVER:
PRIMER TRAMO
A - B 2.00 Tn
tud 5.00 m
e 0.30 m
te 0.50 m
210 kgcm! 2173706.51 tnm!
0.003125 m"
6792.83285 Tn-m!
0.15 m!
# 4.16666667 T-m
# -4.16666667 T-m
s las matrices de rigide%&PRIMER TRAMO
A - B0 0 -65211.19536 0 0
52.1119536 1630.279884 0 -652.1119536 1630.279884
630.279884 5434.26628 0 -1630.279884 2717.13314
0 0 65211.19536 0 0
'B
m 4 mm
θ 2 θ 3m 1 Tn/m
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52.1119536 -1630.279884 0 652.1119536 -1630.279884
630.279884 2717.13314 0 -1630.279884 5434.26628
co& 12227.099130 1 entonces2 3396.416425
8.7889E-005
-2.1972E-005
)5E
FUERZAS
EXTREMO
F1
F2
F3
F4
F5
F6
)5ER
ELEM
Fuerzas
F1
F2
F3
F4
F5
F6
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M
MAB =
MBA =
MB =
MB =
M! =
M! =
MA =
MB =
M =
M! =
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4E85*+O TRAMO
B - ' 1.00 Tn
tud 4.00 m
e 0.30 m
te 0.50 m
210 kgcm! 2173706.51 tnm!
0.003125 m"
6792.83285 Tn-m!
0.15 m!
# 1.33333333 T-m
# -1.33333333 T-m
4E85*+O TRAMO
B - '0 0 -81513.9942 0 0
273.656159 2547.312319 0 -1273.656159 2547.312319
547.312319 6792.83285 0 -2547.312319 3396.416425
0 0 81513.9942 0 0
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273.656159 -2547.312319 0 1273.656159 -2547.312319
547.312319 3396.416425 0 -2547.312319 6792.83285
*AL
= 2.833333333
-1.333333333
A
θ2 0.000278315
θ3 -0.000167721
REMO4 +E LO4 ELEME*TO4
ELEMENTO 2 ELEMENTO 3
"# $uerzas "# $uerzas
0 0.000 0 0.000
0 0.282 0 -0.427
0.00028 1.321 -0.00017 -1.139
0 0.000 0 0.000
0 -0.282 0 0.427
-0.00017 -0.194 0 -0.570
+E LO4 ELEME*TO4
NTO 2 ELEMENTO 3
tuantes Fuerzas actuantes
0.000 F1 0.000
2.282 F2 3.573
2.654 F3 1.527
0.000 F4 0.000
1.718 F5 4.427
-1.527 F6 -3.236
0
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REA''IO*E4
RA = 5.454 Tn
RB = 6.828 Tn
R = 5.291 Tn
R! = 4.427 Tn
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TER'ER TRAMO
' - + 2.00 Tn
tud 4.00 m
e 0.30 m
te 0.50 m
210 kgcm! 2173706.51 tnm!
0.003125 m"
6792.83285 Tn-m!
0.15 m!
# 2.66666667 T-m
# -2.66666667 T-m
TER'ER TRAMO
' - +0 0 -81513.9942 0 0
273.656159 2547.312319 0 -1273.656159 2547.312319
547.312319 6792.83285 0 -2547.312319 3396.416425
0 0 81513.9942 0 0
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273.656159 -2547.312319 0 1273.656159 -2547.312319
547.312319 3396.416425 0 -2547.312319 6792.83285
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LA RIGIDEZ -- ING.CIVIL
NALISIS ESTRUCTURAL II
UNA VEGA DIEGO ANDRE
II
RESOLVER:
PRIMER TRAMO
A - B 2.00 Tn
tud 5.00 m
e 0.30 m
te 0.50 m
210 kgcm! 2173706.51 tnm!
0.003125 m"
6792.83285 Tn-m!
0.15 m!
# 4.16666667 T-m
# -4.16666667 T-m
s las matrices de rigide%&PRIMER TRAMO
A - B0 0 -65211.19536 0 0
52.1119536 1630.279884 0 -652.1119536 1630.279884
630.279884 5434.26628 0 -1630.279884 2717.13314
0 0 65211.19536 0 0
'B
m 4 mm
θ 2 θ 3m 4 Tn/m
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52.1119536 -1630.279884 0 652.1119536 -1630.279884
630.279884 2717.13314 0 -1630.279884 5434.26628
co& 12227.099130 1 entonces2 3396.416425
8.7889E-005
-2.1972E-005
)5E
FUERZAS
EXTREMO
F1
F2
F3
F4
F5
F6
)5ER
ELEM
Fuerzas
F1
F2
F3
F4
F5
F6
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M
MAB =
MBA =
MB =
MB =
M! =
M! =
MA =
MB =
M =
M! =
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4E85*+O TRAMO
B - ' 4.00 Tn
tud 4.00 m
e 0.30 m
te 0.50 m
210 kgcm! 2173706.51 tnm!
0.003125 m"
6792.83285 Tn-m!
0.15 m!
# 5.33333333 T-m
# -5.33333333 T-m
4E85*+O TRAMO
B - '0 0 -81513.9942 0 0
273.656159 2547.312319 0 -1273.656159 2547.312319
547.312319 6792.83285 0 -2547.312319 3396.416425
0 0 81513.9942 0 0
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273.656159 -2547.312319 0 1273.656159 -2547.312319
547.312319 3396.416425 0 -2547.312319 6792.83285
*AL
= -1.166666667
2.666666667
A
θ2 -0.00016113
θ3 0.000236568
REMO4 +E LO4 ELEME*TO4
ELEMENTO 2 ELEMENTO 3
"# $uerzas "# $uerzas
0 0.000 0 0.000
0 0.192 0 0.603
-0.00016 -0.291 0.00024 1.607
0 0.000 0 0.000
0 -0.192 0 -0.603
0.00024 1.060 0 0.803
+E LO4 ELEME*TO4
NTO 2 ELEMENTO 3
tuantes Fuerzas actuantes
0.000 F1 0.000
8.192 F2 4.603
5.042 F3 4.274
0.000 F4 0.000
7.808 F5 3.397
-4.274 F6 -1.863
0
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REA''IO*E4
RA = 4.737 Tn
RB = 13.455 Tn
R = 12.410 Tn
R! = 3.397 Tn
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TER'ER TRAMO
' - + 2.00 Tn
tud 4.00 m
e 0.30 m
te 0.50 m
210 kgcm! 2173706.51 tnm!
0.003125 m"
6792.83285 Tn-m!
0.15 m!
# 2.66666667 T-m
# -2.66666667 T-m
TER'ER TRAMO
' - +0 0 -81513.9942 0 0
273.656159 2547.312319 0 -1273.656159 2547.312319
547.312319 6792.83285 0 -2547.312319 3396.416425
0 0 81513.9942 0 0
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273.656159 -2547.312319 0 1273.656159 -2547.312319
547.312319 3396.416425 0 -2547.312319 6792.83285
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METODO DE LA RIGIDEZ -- ING.CIVIL METODO DE LA RIGIDEZ -- ING.CIVIL METODO
CURSO: ANALISIS ESTRUCTURAL II CURSO: ANALISIS ESTRUCTURAL II CURSO:
ALUMNO: LUNA VEGA DIEGO ANDRE ALUMNO: LUNA VEGA DIEGO ANDRE ALUMNO:CICLO: VIII CICLO: VIII CICLO:
PROBLEMA A RESOLVER: PROBLEMA A RESOLVER: PROBLE
PRIMER TRAMO SEGUNDO TRAMO TERCER TRAMO PRIMER TRAMO SEGUNDO TRAMO TERCER TRAMO
A - B B - C C - D A - B B - C C - D 1.00 Tn 1.00 Tn 1.00 Tn 2.00 Tn 1.00 Tn 2.00 Tn
L!n"#$%& 5.00 m L!n"#$%& 4.00 m L!n"#$%& 4.00 m L!n"#$%& 5.00 m L!n"#$%& 4.00 m L!n"#$%& 4.00 m L!n'()* 0.30 m '()* 0.30 m '()* 0.30 m '()* 0.30 m '()* 0.30 m '()* 0.30 m '
+*,($* 0.50 m +*,($* 0.50 m +*,($* 0.50 m +*,($* 0.50 m +*,($* 0.50 m +*,($* 0.50 m +*, 210 0"/m2 210 0"/m2 210 0"/m2 210 0"/m2 210 0"/m2 210 0"/m2
E 2173706.5119 $n/m2 E 2173706.51192842 $n/m2 E 2173706.5119 $n/m2 E 2173706.5119 $n/m2 E 2173706.5119 $n/m2 E 2173706.5119 $n/m2I 0.003125 m4 I 0.003125 m4 I 0.003125 m4 I 0.003125 m4 I 0.003125 m4 I 0.003125 m4EI 6792.8328498 Tn-m2 EI 6792.8328497763 Tn-m2 EI 6792.8328498 Tn-m2 EI 6792.8328498 Tn-m2 EI 6792.8328498 Tn-m2 EI 6792.8328498 Tn-m2A 0.15 m2 A 0.15 m2 A 0.15 m2 A 0.15 m2 A 0.15 m2 A 0.15 m2
MAB 2.0833333333 T-m MBC 1.3333333333 T-m MCD 1.3333333333 T-m MAB 4.1666666667 T-m MBC 1.3333333333 T-m MCD 2.6666666667 T-m M
MBA -2.083333333 T-m MCB -1.3333333333 T-m MDC -1.333333333 T-m MBA -4.166666667 T-m MCB -1.333333333 T-m MDC -2.666666667 T-m M
((m!) () m($,#*) &* ,#"#&*: ((m!) () m($,#*) &* ,#"#&*: ((m!)
PRIMER TRAMO SEGUNDO TRAMO TERCER TRAMO PRIMER TRAMO SEGUNDO TRAMO TERCER TRAMOA - B B - C C - D A - B B - C C - D
65211.1954 0 0 -65211.195 0 0 81513.9942 0 0 -81513.9942 0 0 81513.9942 0 0 -81513.994 0 0 65211.1954 0 0 -65211.195 0 0 81513.9942 0 0 -81513.9942 0 0 81513.9942 0 0 -81513.994 0 0 65211.1954
0 652.11195 1630.2798839 0 -652.11195 1630.2798839463 0 1273.6561593 2547.3123186661 0 -1273.6562 2547.3123 0 1273.6562 2547.3123187 0 -1273.6562 2547.3123 0 652.11195 1630.2798839 0 -652.11195 1630.2798839463 0 1273.6561593 2547.3123187 0 -1273.6562 2547.3123 0 1273.6562 2547.3123187 0 -1273.6562 2547.3123 0
0 1630.2799 5434.2662798 0 -1630.2799 2717.1331399105 0 2547.3123187 6792.8328497763 0 -2547.3123 3396.4164 0 2547.3123 6792.8328498 0 -2547.3123 3396.4164 0 1630.2799 5434.2662798 0 -1630.2799 2717.1331399105 0 2547.3123187 6792.8328498 0 -2547.3123 3396.4164 0 2547.3123 6792.8328498 0 -2547.3123 3396.4164 0
-65211.195 0 0 65211.1954 0 0 -81513.994 0 0 81513.994197 0 0 -81513.994 0 0 81513.9942 0 0 -65211.195 0 0 65211.1954 0 0 -81513.994 0 0 81513.994197 0 0 -81513.994 0 0 81513.9942 0 0 -65211.195
0 -652.11195 -1630.279884 0 652.11195 -1630.2798839463 0 -1273.656159 -2547.3123186661 0 1273.6562 -2547.3123 0 -1273.6562 -2547.312319 0 1273.6562 -2547.3123 0 -652.11195 -1630.279884 0 652.11195 -1630.2798839463 0 -1273.656159 -2547.312319 0 1273.6562 -2547.3123 0 -1273.6562 -2547.312319 0 1273.6562 -2547.3123 0
0 1630.2799 2717.1331399 0 -1630.2799 5434.266279821 0 2547.3123187 3396.4164248882 0 -2547.3123 6792.8328 0 2547.3123 3396.4164249 0 -2547.3123 6792.8328 0 1630.2799 2717.1331399 0 -1630.2799 5434.266279821 0 2547.3123187 3396.4164249 0 -2547.3123 6792.8328 0 2547.3123 3396.4164249 0 -2547.3123 6792.8328 0
MATRIZ INAL MATRIZ INAL
D* ",6!: 12227.0991295973 3396.4164248882 θ2=
0.75 D* ",6!: 12227.0991295973 3396.4164248882 θ2=
2.8333333333 D* ",6
θ1 7 θ4 7 8 *n$!n*)9 3396.4164248882 13585.6656995526 θ3 0 θ1 7 θ4 7 8 *n$!n*)9 3396. 4164248882 13585. 6656995526 θ3 -1. 333333333 θ1 7 θ4
INVERSA INVERSA
8.788894686151E-005 -2.197223671538E-005 θ2 6.591671014614E-005 8.788894686151E-005 -2.197223671538E-005 θ2 0.000278315
-2.197223671538E-005 7.910005217536E-005 θ3 -1.647917753653E-005 -2.197223671538E-005 7.910005217536E-005 θ3 -0.000167721
UERZAS EN LOS ETREMOS DE LOS ELEMENTOS UERZAS EN LOS ETREMOS DE LOS ELEMENTOS
FUERZAS ELEMENTO 1 ELEMENTO 2 ELEMENTO 3 FUERZAS ELEMENTO 1 ELEMENTO 2 ELEMENTO 3
EXTREMO Δi f!"#$% Δi f!"#$% Δi f!"#$% EXTREMO Δi f!"#$% Δi f!"#$% Δi f!"#$%
F1 0 0.000 0 0.000 0 0.000 F1 0 0.000 0 0.000 0 0.000
F2 0 0.107 0 0.126 0 -0.042 F2 0 0.454 0 0.282 0 -0.427
F3 0.00000 0.179 0.00007 0.392 -0.00002 -0.112 F3 0.00000 0.756 0.00028 1.321 -0.00017 -1.139F4 0 0.000 0 0.000 0 0.000 F4 0 0.000 0 0.000 0 0.000
F5 0 -0.107 0 -0.126 0 0.042 F5 0 -0.454 0 -0.282 0 0.427
F6 0.00007 0.358 -0.00002 0.112 0 -0.056 F6 0.00028 1.512 -0.00017 -0.194 0 -0.570
UERZAS ; MOMENTOS DE LOS ELEMENTOS UERZAS ; MOMENTOS DE LOS ELEMENTOS
ELEMENTO 1 ELEMENTO 2 ELEMENTO 3 ELEMENTO 1 ELEMENTO 2 ELEMENTO 3
F!"#$% $&'$('!% F!"#$% $&'$('!% F!"#$% $&'$('!% F!"#$% $&'$('!% F!"#$% $&'$('!% F!"#$% $&'$('!%
F1 0.000 F1 0.000 F1 0.000 F1 0.000 F1 0.000 F1 0.000
F2 2.607 F2 2.126 F2 1.958 F2 5.454 F2 2.282 F2 3.573
F3 2.262 F3 1.725 F3 1.221 F3 4.923 F3 2.654 F3 1.527
F4 0.000 F4 0.000 F4 0.000 F4 0.000 F4 0.000 F4 0.000
F5 2.393 F5 1.874 F5 2.042 F5 4.546 F5 1.718 F5 4.427
F6 -1.725 F6 -1.221 F6 -1.389 F6 -2.654 F6 -1.527 F6 -3.236
DATOS INALES DATOS INALES
MOMENTOS REACCIONES MOMENTOS REACCIONES
MA) = 2.262 T(-* RA = 2.607 T( MA) = 4.923 T(-* RA = 5.454 T(
M)A = -1.725 T(-* R) = 4.518 T( M)A = -2.654 T(-* R) = 6.828 T(
M)+ = 1.725 T(-* R+ = 3.832 T( M)+ = 2.654 T(-* R+ = 5.291 T(
M+) = -1.221 T(-* R, = 2.042 T( M+) = -1.527 T(-* R, = 4.427 T(
M+, = 1.221 T(-* M+, = 1.527 T(-*
M,+ = -1.389 T(-* M,+ = -3.236 T(-*
MA = 2.262 T(-* MA = 4.923 T(-*
M) = 0.000 T(-* M) = 0.000 T(-*
M+ = 0.000 T(-* M+ = 0.000 T(-*
M, = -1.389 T(-* M, = -3.236 T(-*
A ' +B
5 m
9
0
4 m 4 m5 m
θ 2 θ 31 Tn/m
1 Tn/m1 Tn/m
A ' +B
5 m
9
0
4 m 4 m5 m
θ 2 θ 32 Tn/m
2 Tn/m1 Tn/m
A
5 m5 m
2 Tn/m
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E LA RIGIDEZ -- ING.CIVIL
ANALISIS ESTRUCTURAL II
LUNA VEGA DIEGO ANDREVIII
A A RESOLVER:
PRIMER TRAMO SEGUNDO TRAMO TERCER TRAMO
A - B B - C C - D2.00 Tn 4.00 Tn 2.00 Tn
#$%& 5.00 m L!n"#$%& 4.00 m L!n"#$%& 4.00 m)* 0.30 m '()* 0.30 m '()* 0.30 m$* 0.50 m +*,($* 0.50 m +*,($* 0.50 m
210 0"/m2 210 0"/m2 210 0"/m22173706.5119 $n/m2 E 2173706.5119 $n/m2 E 2173706.5119 $n/m2
0.003125 m4 I 0.003125 m4 I 0.003125 m4I 6792.8328498 Tn-m2 EI 6792.8328498 Tn-m2 EI 6792.8328498 Tn-m2
0.15 m2 A 0.15 m2 A 0.15 m2B 4.1666666667 T-m MBC 5.3333333333 T-m MCD 2.6666666667 T-mA -4.166666667 T-m MCB -5.333333333 T-m MDC -2.666666667 T-m
() m($,#*) &* ,#"#&*:
PRIMER TRAMO SEGUNDO TRAMO TERCER TRAMOA - B B - C C - D
0 0 -65211.195 0 0 81513.9942 0 0 -81513.9942 0 0 81513.9942 0 0 -81513.994 0 0
652.11195 1630.2798839 0 -652.11195 1630.2798839463 0 1273.6561593 2547.3123187 0 -1273.6562 2547.3123 0 1273.6562 2547.3123187 0 -1273.6562 2547.3123
1630.2799 5434.2662798 0 -1630.2799 2717.1331399105 0 2547.3123187 6792.8328498 0 -2547.3123 3396.4164 0 2547.3123 6792.8328498 0 -2547.3123 3396.4164
0 0 65211.1954 0 0 -81513.994 0 0 81513.9942 0 0 -81513.994 0 0 81513.9942 0 0
-652.11195 -1630.279884 0 652.11195 -1630.2798839463 0 -1273.656159 -2547.312319 0 1273. 6562 -2547.3123 0 -1273.6562 -2547.312319 0 1273.6562 -2547.3123
1630.2799 2717.1331399 0 -1630.2799 5434.266279821 0 2547.3123187 3396.4164249 0 -2547.3123 6792.8328 0 2547.3123 3396.4164249 0 -2547.3123 6792.8328
MATRIZ INAL
: 12227.0991295973 3396.4164248882 θ2=
-1.166666667
8 *n$!n*)9 3396. 4164248882 13585. 6656995526 θ3 2. 6666666667
INVERSA
8.788894686151E-005 -2.197223671538E-005 θ2 -0.00016113
-2.197223671538E-005 7.910005217536E-005 θ3 0.0002365677
UERZAS EN LOS ETREMOS DE LOS ELE MENTOS
FUERZAS ELEMENTO 1 ELEMENTO 2 ELEMENTO 3
EXTREMO Δi f!"#$% Δi f!"#$% Δi f!"#$%
F1 0 0.000 0 0.000 0 0.000
F2 0 -0.263 0 0.192 0 0.603
F3 0.00000 -0.438 -0.00016 -0.291 0.00024 1.607F4 0 0.000 0 0.000 0 0.000
F5 0 0.263 0 -0.192 0 -0.603
F6 -0.00016 -0.876 0.00024 1.060 0 0.803
UERZAS ; MOMENTOS DE LOS ELE MENTOS
ELEMENTO 1 ELEMENTO 2 ELEMENTO 3
F!"#$% $&'$('!% F!"#$% $&'$('!% F!"#$% $&'$('!%
F1 0.000 F1 0.000 F1 0.000
F2 4.737 F2 8.192 F2 4.603
F3 3.729 F3 5.042 F3 4.274
F4 0.000 F4 0.000 F4 0.000
F5 5.263 F5 7.808 F5 3.397
F6 -5.042 F6 -4.274 F6 -1.863
DATOS INALES
MOMENTOS REACCIONES
MA) = 3.729 T(-* RA = 4.737 T(
M)A = -5.042 T(-* R) = 13.455 T(
M)+ = 5.042 T(-* R+ = 12.410 T(
M+) = -4.274 T(-* R, = 3.397 T(
M+, = 4.274 T(-*
M,+ = -1.863 T(-*
MA = 3.729 T(-*
M) = 0.000 T(-*
M+ = 0.000 T(-*
M, = -1.863 T(-*
' +B
9
0
4 m 4 m
θ 2 θ 3
2 Tn/m4 Tn/m