Rigidez e Inercia - x
37
RIGIDEZ E INERCIA Em = 500*f'm = 42500 G = 0.4*Em = 17000 n = Ec = 4.7 Em 1.- EJE X MURO X1 0.15 m2 L = n*t = 0.61 m2 0.15 m2 1 FIG. INICIAL FIG. TRANSFORMADA FIG. b h AREA B(m) H(m) AREA 1 1.50 0.10 0.15 1.50 0.10 0.15 0.05 0.0075 0.75 0.1125 0 0 0.000125 0.000125 0 0 0.000125 0.000125 AT 0.15 AT 0.15 TOTAL 0.0075 TOTAL 0.1125 0.000125 0.000125 Ycg = ΣAi.Yi = 0.05 ΣAi Xcg = ΣAi.Xi = 0.75 ΣAi kg/cm² kg/cm² A 1 = A 2 = F = A 2 /A 1 (Yicg-Ycg)² (Xicg-Xcg)² Y icg A i *Y icg X icg A i *X icg Y i ² A i *Y i ² I i x = ΣI i x = X i ² A i *X i ² I i y = ΣI i y = I x (m4)= I Y (m4)= = ℎ ³)/12+ ( ( 1 - Ycg) 2 = ℎ ³)/12+ ( ( 1 - xcg) 2
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Transcript of Rigidez e Inercia - x
RIGIDEZ E INERCIA
Em = 500*f'm = 42500
G = 0.4*Em = 17000
n =Ec
= 4.7Em
1.- EJE XMURO X1
0.15 m2L = n*t = 0.61 m2
0.15 m2
1
FIG. INICIAL FIG. TRANSFORMADAFIG. b h AREA B(m) H(m) AREA
1 1.50 0.10 0.15 1.50 0.10 0.15 0.05 0.0075 0.75 0.1125 0 0 0.000125 0.000125 0 0 0.000125 0.000125
AT 0.15 AT 0.15 TOTAL 0.0075 TOTAL 0.1125 0.000125 0.000125
Ycg =ΣAi.Yi =
0.05ΣAi
Xcg =ΣAi.Xi =
0.75ΣAi
kg/cm²
kg/cm²
A1 =
A2 =
F = A2/A1
(Yicg-Ycg)² (Xicg-Xcg)²Yicg Ai*Yicg Xicg Ai*Xicg Yi² Ai*Yi² Iix= ΣIix= Xi² Ai*Xi² Iiy= ΣIiy=
Ix(m4)= IY(m4)=
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
RIGIDEZ E INERCIA
Em = 500*f'm = 42500
G = 0.4*Em = 17000
n =Ec
= 4.7Em
MURO X2
0.24 m2L = n*t = 0.61 m2
0.43 m2
1.82
t = 0.136t = 0.78
0.25L = 0.350.78
FIG. INICIAL FIG. TRANSFORMADAFIG. b h AREA B(m) H(m) AREA
1 0.20 0.15 0.03 0.20 0.61 0.12 0.31 0.04 0.1000 0.0122 0.00282 1.38 0.15 0.21 1.38 0.15 0.21 0.08 0.02 0.8900 0.1842 0.0802
kg/cm²
kg/cm²
A1 =
A2 =
F = A2/A1
(Yicg-Ycg)²Yicg Ai*Yicg Xicg Ai*Xicg Yi²
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
3 0.00 0.00 0.00 0.13 0.78 0.10 1.00 0.10 0.0650 0.0066 0.4120
AT 0.24 AT 0.4304 TOTAL 0.154 TOTAL 0.203
Ycg =ΣAi.Yi =
0.358ΣAi
Xcg =ΣAi.Xi =
0.4717ΣAi
0.0003 0.0038 0.0041 0.14 0.0169 0.0004 0.01730.0166 0.0004 0.0170 0.17 0.0362 0.0329 0.0691
(Xicg-Xcg)²Ai*Yi² Iix= ΣIix= Xi² Ai*Xi² Iiy= ΣIiy=
0.0418 0.0051 0.0469 0.17 0.0168 0.0001 0.0169
0.0680 0.1032Ix(m4)= IY(m4)=
RIGIDEZ E INERCIA
Em = 500*f'm = 42500
G = 0.4*Em = 17000
n =Ec
= 4.7Em
MURO X3
0.27 m2L = n*t = 0.61 m2
0.7504 m2
2.81
t = 0.136t = 0.78
0.25L = 0.680.78
FIG. INICIAL FIG. TRANSFORMADAFIG. b h AREA B(m) H(m) AREA
1 0.20 0.15 0.03 0.20 0.61 0.12 0.31 0.04 0.10 0.0122 0.00092 2.70 0.15 0.41 2.70 0.15 0.41 0.08 0.03 1.35 0.5468 0.0402
kg/cm²
kg/cm²
A1 =
A2 =
F = A2/A1
(Yicg-Ycg)²Yicg Ai*Yicg Xicg Ai*Xicg Yi²
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
3 0.20 0.15 0.03 0.20 0.61 0.12 0.31 0.04 0.10 0.0122 0.00124 0.00 0.00 0.00 0.780 0.130 0.10 1.00 0.10 0.07 0.0066 0.5248
AT = 0.47 AT = 0.75 TOTAL 0.207 TOTAL 0.578
Ycg =ΣAi.Yi =
0.276ΣAi
Xcg =ΣAi.Xi =
0.770ΣAi
0.0001 0.0038 0.0039 0.45 0.0548 0.0004 0.05520.0163 0.0008 0.0171 0.34 0.1363 0.2460 0.3823
(Xicg-Xcg)²Ai*Yi² Iix= ΣIix= Xi² Ai*Xi² Iiy= ΣIiy=
0.0001 0.0038 0.0039 0.45 0.0548 0.0001 0.05490.0532 0.0051 0.0584 0.50 0.0504 0.0004 0.0508
0.0832 0.5432Ix(m4)= IY(m4)=
RIGIDEZ E INERCIA
Em = 500*f'm = 42500
G = 0.4*Em = 17000
n =Ec
= 4.7Em
MURO X4
0.35 m2L = n*t = 0.61 m2
0.48 m2
1.40
FIG. INICIAL FIG. TRANSFORMADAFIG. b h AREA B(m) H(m) AREA
1 2.30 0.15 0.35 2.00 0.15 0.30 0.08 0.02 0.08 0.0225 0.012 0.00 0.00 0.00 0.15 0.61 0.09 0.31 0.03 1.08 0.0984 0.02
kg/cm²
kg/cm²
A1 =
A2 =
F = A2/A1
(Yicg-Ycg)²Yicg Ai*Yicg Xicg Ai*Xicg Yi²
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
3 0.00 0.00 0.00 0.15 0.61 0.09 0.31 0.03 2.23 0.2040 0.02
AT = 0.35 AT = 0.48 TOTAL 0.078 TOTAL 0.325
Ycg =ΣAi.Yi =
0.162ΣAi
Xcg =ΣAi.Xi =
0.673ΣAi
0.002 0.0006 0.0028 0.36 0.1072 0.1000 0.20720.002 0.0028 0.0047 0.16 0.0148 0.0028 0.0176
(Xicg-Xcg)²Ai*Yi² Iix= ΣIix= Xi² Ai*Xi² Iiy= ΣIiy=
0.002 0.0028 0.0047 2.43 0.2219 0.0028 0.2247
0.0122 0.4496Ix(m4)= IY(m4)=
RIGIDEZ E INERCIA
Em = 500*f'm = 42500
G = 0.4*Em = 17000
n =Ec
= 4.7Em
MURO X5
0.18 m2L = n*t = 0.61 m2
0.5779 m2
3.16
t = 0.136t = 0.78
0.25L = 0.680.78
FIG. INICIAL FIG. TRANSFORMADAFIG. b h AREA B(m) H(m) AREA
1 1.22 0.15 0.18 1.22 0.15 0.18 0.61 0.11 0.08 0.0137 0.06252 0.00 0.00 0.00 1.07 0.15 0.16 0.08 0.01 0.69 0.1099 0.0812
kg/cm²
kg/cm²
A1 =
A2 =
F = A2/A1
(Yicg-Ycg)²Yicg Ai*Yicg Xicg Ai*Xicg Yi²
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
AT = 0.18 AT = 0.34 TOTAL 0.124 TOTAL 0.124
Ycg =ΣAi.Yi =
0.360ΣAi
Xcg =ΣAi.Xi =
0.360ΣAi
0.0114 0.0227 0.0341 0.08 0.0149 0.0003 0.01520.0130 0.0003 0.0133 0.11 0.0170 0.0153 0.0323
(Xicg-Xcg)²Ai*Yi² Iix= ΣIix= Xi² Ai*Xi² Iiy= ΣIiy=
0.0475 0.0475Ix(m4)= IY(m4)=
RIGIDEZ E INERCIA
Em = 500*f'm = 42500
G = 0.4*Em = 17000
n =Ec
= 4.7Em
MURO X6
0.53 m2L = n*t = 0.61 m2
0.82 m2
1.55
t = 0.136t = 0.78
0.25L = 0.620.78
FIG. INICIAL FIG. TRANSFORMADAFIG. b h AREA B(m) H(m) AREA
1 0.20 0.15 0.03 0.20 0.61 0.12 0.31 0.04 0.10 0.0122 0.01752 2.48 0.15 0.37 0.78 0.13 0.10 1.00 0.10 0.10 0.0101 0.3165
kg/cm²
kg/cm²
A1 =
A2 =
F = A2/A1
(Yicg-Ycg)²Yicg Ai*Yicg Xicg Ai*Xicg Yi²
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
3 0.15 0.65 0.10 0.65 0.15 0.10 0.94 0.09 1.08 0.1048 0.25264 0.15 0.20 0.03 2.48 0.15 0.37 0.08 0.03 1.44 0.5357 0.13135 0.00 0.00 0.00 0.15 0.61 0.09 0.31 0.03 2.76 0.2525 0.01756 0.00 0.00 0.00 0.78 0.13 0.10 1.00 0.10 2.76 0.2799 0.3165
AT = 0.53 AT = 0.89 TOTAL 0.387 TOTAL 1.195
Ycg =ΣAi.Yi =
0.437ΣAi
Xcg =ΣAi.Xi =
1.349ΣAi
0.0021 0.0038 0.0059 1.56 0.1904 0.0004 0.19080.0321 0.0001 0.0322 1.56 0.1583 0.0051 0.1634
(Xicg-Xcg)²Ai*Yi² Iix= ΣIix= Xi² Ai*Xi² Iiy= ΣIiy=
0.0246 0.0002 0.0248 0.08 0.0073 0.0034 0.01080.0489 0.0007 0.0496 0.01 0.0031 0.1907 0.19370.0016 0.0002 0.0018 1.99 0.1821 0.0028 0.18490.0321 0.0002 0.0323 1.99 0.2018 0.0059 0.2077
0.1466 0.9514Ix(m4)= IY(m4)=
RIGIDEZ E INERCIA
Em = 500*f'm = 42500
G = 0.4*Em = 17000
n =Ec
= 4.7Em
MURO X7
0.31 m2L = n*t = 0.61 m2
0.82 m2
2.62
t = 0.136t = 0.78
0.25L = 0.470.78
FIG. INICIAL FIG. TRANSFORMADAFIG. b h AREA B(m) H(m) AREA
1 0.20 0.15 0.03 0.20 0.61 0.12 0.31 0.04 0.10 0.0122 0.10672 1.88 0.15 0.28 0.78 0.13 0.10 1.00 0.10 0.10 0.0101 0.1357
kg/cm²
kg/cm²
A1 =
A2 =
F = A2/A1
(Yicg-Ycg)²Yicg Ai*Yicg Xicg Ai*Xicg Yi²
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
3 0.00 0.00 0.00 1.88 0.15 0.28 0.54 0.15 1.04 0.2933 0.00934 0.00 0.00 0.00 0.78 0.13 0.10 0.93 0.09 2.15 0.2175 0.0861
AT = 0.31 AT = 0.61 TOTAL 0.383 TOTAL 0.533
Ycg =ΣAi.Yi =
0.632ΣAi
Xcg =ΣAi.Xi =
0.879ΣAi
0.0130 0.0038 0.0168 0.61 0.0740 0.0004 0.07440.0138 0.0001 0.0139 0.61 0.0615 0.0051 0.0666
(Xicg-Xcg)²Ai*Yi² Iix= ΣIix= Xi² Ai*Xi² Iiy= ΣIiy=
0.0026 0.0005 0.0032 0.03 0.0073 0.0831 0.09040.0087 0.0001 0.0089 1.60 0.1626 0.0051 0.1678
0.0427 0.3991Ix(m4)= IY(m4)=
RIGIDEZ E INERCIA
Em = 500*f'm = 42500
G = 0.4*Em = 17000
n =Ec
= 4.7Em
MURO X8
0.48 m2L = n*t = 0.61 m2
0.87 m2
1.80
t = 0.136t = 0.78
0.25L = 0.700.78
FIG. INICIAL FIG. TRANSFORMADAFIG. b h AREA B(m) H(m) AREA
1 0.20 0.15 0.03 0.20 0.61 0.12 0.31 0.04 0.10 0.0122 0.07542 2.81 0.15 0.42 2.81 0.15 0.42 0.54 0.23 1.61 0.6765 0.0020
kg/cm²
kg/cm²
A1 =
A2 =
F = A2/A1
(Yicg-Ycg)²Yicg Ai*Yicg Xicg Ai*Xicg Yi²
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
3 0.20 0.15 0.03 0.20 0.61 0.12 0.31 0.04 3.11 0.3794 0.07274 0.00 0.00 0.00 0.78 0.13 0.10 1.00 0.10 0.10 0.0101 0.17675 0.00 0.00 0.00 0.78 0.13 0.10 1.00 0.10 3.11 0.3154 0.1767
AT = 0.48 AT = 0.87 TOTAL 0.503 TOTAL 1.394
Ycg =ΣAi.Yi =
0.580ΣAi
Xcg =ΣAi.Xi =
1.605ΣAi
0.0092 0.0038 0.0130 2.27 0.2763 0.0004 0.27670.0008 0.0008 0.0016 0.00 0.0000 0.2774 0.2774
(Xicg-Xcg)²Ai*Yi² Iix= ΣIix= Xi² Ai*Xi² Iiy= ΣIiy=
0.0089 0.0038 0.0127 2.27 0.2763 0.0004 0.27670.0179 0.0001 0.0181 2.27 0.2297 0.0051 0.23480.0179 0.0001 0.0181 2.27 0.2297 0.0051 0.2348
0.0634 1.3005Ix(m4)= IY(m4)=
RIGIDEZ E INERCIA
Em = 500*f'm = 42500
G = 0.4*Em = 17000
n =Ec
= 4.7Em
MURO X9
0.38 m2L = n*t = 0.61 m2
0.77 m2
2.01
t = 0.136t = 0.78
0.25L = 0.540.78
FIG. INICIAL FIG. TRANSFORMADAFIG. b h AREA B(m) H(m) AREA
1 0.20 0.15 0.03 0.20 0.61 0.12 0.31 0.04 0.10 0.0122 0.04632 2.16 0.15 0.32 2.16 0.15 0.32 0.38 0.12 1.28 0.4147 0.0196
kg/cm²
kg/cm²
A1 =
A2 =
F = A2/A1
(Yicg-Ycg)²Yicg Ai*Yicg Xicg Ai*Xicg Yi²
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
3 0.20 0.15 0.03 0.20 0.61 0.12 0.31 0.04 3.36 0.4099 0.04424 0.00 0.00 0.00 0.78 0.13 0.10 1.00 0.10 0.10 0.0101 0.23025 0.00 0.00 0.00 0.78 0.13 0.10 1.00 0.10 3.36 0.3407 0.2302
AT = 0.38 AT = 0.77 TOTAL 0.401 TOTAL 1.188
Ycg =ΣAi.Yi =
0.520ΣAi
Xcg =ΣAi.Xi =
1.541ΣAi
0.0056 0.0038 0.0094 2.08 0.2533 0.0004 0.25370.0064 0.0006 0.0070 0.07 0.0220 0.1260 0.1480
(Xicg-Xcg)²Ai*Yi² Iix= ΣIix= Xi² Ai*Xi² Iiy= ΣIiy=
0.0054 0.0038 0.0092 3.31 0.4037 0.0004 0.40410.0233 0.0001 0.0235 2.08 0.2105 0.0051 0.21570.0233 0.0001 0.0235 3.31 0.3356 0.0051 0.3407
0.0726 1.3622Ix(m4)= IY(m4)=
RIGIDEZ E INERCIA
Em = 500*f'm = 42500
G = 0.4*Em = 17000
n =Ec
= 4.7Em
MURO X10
0.44 m2L = n*t = 0.61 m2
0.82 m2
1.89
t = 0.136t = 0.78
0.25L = 0.630.78
FIG. INICIAL FIG. TRANSFORMADAFIG. b h AREA B(m) H(m) AREA
1 0.20 0.15 0.03 0.20 0.61 0.12 0.31 0.04 0.10 0.0122 0.07682 2.50 0.15 0.38 2.50 0.15 0.38 0.54 0.20 1.45 0.5438 0.0022
kg/cm²
kg/cm²
A1 =
A2 =
F = A2/A1
(Yicg-Ycg)²Yicg Ai*Yicg Xicg Ai*Xicg Yi²
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - Ycg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
��= ℎ ³)/12+ (� � �� (�1�� - xcg)2
3 0.20 0.15 0.03 0.20 0.61 0.12 0.31 0.04 2.80 0.3416 0.07414 0.00 0.00 0.00 0.78 0.13 0.10 1.00 0.10 0.10 0.0101 0.17465 0.00 0.00 0.00 0.78 0.13 0.10 1.00 0.10 2.80 0.2839 0.1746
AT = 0.44 AT = 0.82 TOTAL 0.478 TOTAL 1.192
Ycg =ΣAi.Yi =
0.582ΣAi
Xcg =ΣAi.Xi =
1.450ΣAi
0.0094 0.0038 0.0132 1.82 0.2223 0.0004 0.22280.0008 0.0007 0.0015 0.00 0.0000 0.1953 0.1953
(Xicg-Xcg)²Ai*Yi² Iix= ΣIix= Xi² Ai*Xi² Iiy= ΣIiy=
0.0090 0.0038 0.0128 1.82 0.2223 0.0004 0.22280.0177 0.0001 0.0178 1.82 0.1848 0.0051 0.18990.0177 0.0001 0.0178 1.82 0.1848 0.0051 0.1899
0.0632 1.0207Ix(m4)= IY(m4)=
