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EJERCICIO 03 E= I= E*I=
29000 KSI 1600 pulg4
hc = L1= L2=
12 15 20
46400000 KSI*pulg4
CALCULO DEL K LATERAL
𝐾_��
𝐾_��
27840000.0 6186666.7 0.0 1933333.3 6186666.7 33253333.3 4640000.0 966666.7 0.0 4640000.0 27840000.0 1933333.3 1933333.3 966666.7 1933333.3 725000.0 𝐾_�� 𝐾_��
K=
pulg pulg pulg
=
F(t)= ξ =
K=
725000.0
-
1933333.3
966666.7
1933333.3
*
K=
725000.0
-
270002.046
=
454998.0
KSI/pulg
* *
long total L 35
=
70
CALCULO DE LA MASA carg. Distrib W= w W= 2 m=
W g
=
70 368
FRACUENCIA NATURAL SIN AMORTIGUAMIENTO �_𝑛=√(𝐾/𝑚)=
1546.60572 rad/seg2
PERIODO =
T=(2∗𝜋)/�_𝑛 0.00406256 seg =
KSI pulg/seg2
=
0.19021739
27840000.0 6186666.7 0.0
KSI*seg2 pulg
Xmax =
Fo KL
*
B=
14 1546.60572
FAD
=
𝐹𝐴�= 1/√( 〖 (1−𝐵^2) 〗 ^2+ 〖 (2∗𝜉∗𝐵) 〗 ^2 ) = Xmax =
Fo
* KL
FAD =
0.009052081
1.000081947
0.00001099
θ1 * * Xmax * 𝐾_�� * Xmax = − 〖� ^�� 〗 ^(−1)
θ2 θ3
θ1
-3.7507E-08 7.144218E-09 -1.1907E-09
θ2
=
7.1442E-09
-3.2149E-08 5.3582E-09
θ3
-1.1907E-09 5.358163E-09 -3.6813E-08
θ1
-0.0679098
θ2
=
-0.0069061
*
θ3
-0.0682934
θ1
-7.4633E-07
rad
-7.5898E-08
rad
-7.5054E-07
rad
θ2
=
θ3
*
0.00001099
=
DIAGRAMA DE MOMENTO FLECTOR
θ1 b
θ2 c
θ3 e
a
Mab= Mba= Mbc= Mcb= Mcd= Mce= Mec= Mef= Mfe=
d
f
1.311 KSI*pulg -4.461 KSI*pulg -9.704 KSI*pulg -5.556 KSI*pulg 9.743 KSI*pulg -4.187 KSI*pulg -7.317 KSI*pulg 1.278 KSI*pulg -4.5259659 KSI*pulg
-9.704
-5.556
-4.187
-7.317
-4.461
9.743
1.278
1.311
0
-4.5259659
5
*
SENO (
14
*
1933333.3 966666.7 1933333.3
0.05 -1 6186666.7 0.0 33253333.3 4640000.0 4640000.0 27840000.0
*
t
)
KIPS
1933333.3 966666.7 1933333.3
*
0.00001099
EJERCICIO 02
3 Tn/m 0.3 0.6 L1=
0.3
0.3 0.6
5
L2=
0.6
0.3 0.6
h1 = 3.35
E= CALCULO DEL K LATERAL 21535.5 4320.0 0.0 5774.1
K=
4 0.3
h2 = 3
h2 =
2000000 Tn/m2 𝐾_��
4320.0 30240.0 5400.0 3600.0 𝐾_��
0.0 5400.0 15066.7 2133.3
𝐾_��
5774.1 3600.0 2133.3 43989.0 𝐾_��
ug =
0.15
ξ =
0.05
=
K=
43989.0
-
5774.1
3600.0
2133.3
*
K=
43989.0
-
1952.73516
=
42036.3
Tn/m
CALCULO DE LA MASA carg. Distrib W= w W= 3
* *
long total L 9
=
27
Tn m/seg2
=
m=
W g
=
27 9.81
FRACUENCIA NATURAL SIN AMORTIGUAMIENTO �_𝑛=√(𝐾/𝑚)= 123.584711 rad/seg2
2.75229358
21535.5 4320.0 0.0
Tn*seg2 m
PERIODO =
T=(2∗𝜋)/�_𝑛 0.05084112 seg = Xmax =
Fo KL
*
B=
40 123.584711
FAD
=
𝐹𝐴�= 1/√( 〖 (1−𝐵^2) 〗 ^2+ 〖 (2∗𝜉∗𝐵) 〗 ^2 ) = Xmax =
m * u * g *FAD = KL
0.32366463
1.11628808
0.00010755
θ1 θ2 θ3
* * Xmax * 𝐾_�� * Xmax = − 〖� ^�� 〗 ^(−1)
θ1 θ2
-4.7901E-05 =
7.311E-06 -2.6203E-06
7.311E-06 -3.6446E-05 1.3062E-05
θ3
-2.6203E-06 1.3062E-05 -7.1053E-05
θ1
-0.2558591
θ2
=
-0.0611239
*
θ3
-0.1196857
θ1
-2.7517E-05
rad
-6.5738E-06
rad
-1.2872E-05
rad
θ2 θ3
=
0.00010755
*
=
DIAGRAMA DE MOMENTO FLECTOR
Mab= Mba= Mbc= Mcb= Mcd= Mce= Mec= Mef= Mfe=
θ1 b
θ2 c
θ3 e
a
d
f
0.030 -0.148 -0.266 -0.176 0.316 -0.141 -0.175 0.022 0.049
-0.266
Tn*m Tn*m Tn*m Tn*m Tn*m Tn*m Tn*m Tn*m Tn*m
-0.176
-0.148
0.030
-0.141
-0.175
0.316
0.022
0
0.049
DIAGRAMA DE FUERZA CORTANTE F= F= F=
DFC
4.52096673
K 42036.3 4.52096673
4.52096673
* *
x 0.00010755
4.52096673
4.52096673
0.4 3
*
g
SENO (
40
*
5774.1 3600.0 2133.3
-1 4320.0 30240.0 5400.0
0.0 5400.0 15066.7
*
t
)
m/s2
5774.1 3600.0 2133.3
*
0.00010755
4.52096673
4.52096673
EJERCICIO 03 E= I1 = I2 = E*I1= E*I2=
29000 KSI 1700 pulg4 1500 pulg4
hc = Lv=
12 20
pulg pulg
49300000 KSI*pulg4 43500000 KSI*pulg4
I1=Ic I2=Iv CALCULO DEL K LATERAL 21025000.0 4350000.0 0.0 1027083.3
K=
𝐾_��
4350000.0 0.0 29725000.0 4350000.0 4350000.0 21025000.0 1027083.3 1027083.3 𝐾_��
𝐾_��
1027083.3 1027083.3 1027083.3 256770.8 𝐾_��
=
K=
256770.8
-
1027083.3
1027083.3
1027083.3
*
K=
256770.8
-
113328.577
=
143442.3
KSI/pulg
CALCULO DE LA MASA carg. Distrib W= w W= 3.5
* *
long total L 40
=
140
m=
W g
=
140 368
FRACUENCIA NATURAL SIN AMORTIGUAMIENTO �_𝑛=√(𝐾/𝑚)= 614.04252 rad/seg2 PERIODO =
T=(2∗𝜋)/�_𝑛 0.01023249 seg =
KSI pulg/seg2
=
0.3804347826
t 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8
F 0 5 8.66 10 8.66 5 0 0 0
Chart Title 12 10 8 6 4 2 0
t 1 2 3 4 5 6 7 8 9
0
Δt 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
θ1 θ2 θ3
θ3
0.2
0.3
Fi 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1
0 5 8.66 10 8.66 5 0 0 0
0.4
0.5
0.6
w 614.043 614.043 614.043 614.043 614.043 614.043 614.043 614.043 614.043
0.7
0.8
w*t 0.000 61.404 122.809 184.213 245.617 307.021 368.426 429.830 491.234
* * Xmax * 𝐾_�� * Xmax = − 〖� ^�� 〗 ^(−1)
θ1 θ2
0.1
-4.909532E-08 7.4090081E-09 -1.532898E-09 =
7.4090081E-09 -3.581021E-08 7.4090081E-09 -1.532898E-09 7.4090081E-09 -4.909532E-08
0.9
θ1
-0.0443897344
θ2
=
-0.0215607281
*
θ3
-0.0443897344
θ1
-8.90821E-07
rad
-4.326845E-07
rad
-8.90821E-07
rad
θ2
=
θ3
2.0068176E-05
DIAGRAMA DE MOMENTO FLECTOR
θ1 b
θ2 c
a
d
Mba= Mbc= Mcb= Mcd= Mce= Mec= Mef=
9.632 -9.632 -7.639 15.279 -7.639 -9.632 9.632
-9.632
KSI*pulg KSI*pulg KSI*pulg KSI*pulg KSI*pulg KSI*pulg KSI*pulg
-7.639
-7.639
9.632
15.279
0
0
-9.632
DIAGRAMA DE FUERZA CORTANTE F= F=
K 143442.3
* *
F=
2.87862451 DFC
2.8786245117
2.8786245117
-1 21025000.0 4350000.0 0.0
KSI*seg2 pulg
4350000.0 0.0 29725000.0 4350000.0 4350000.0 21025000.0
*
1027083.3 1027083.3 1027083.3
0.7
0.8
0.9
A(t)
ΔA(t)
B(t)
ΔB(t)
x(t)
0 -0.0081731029 -0.0042047043 0.0146044254 0.0073975266 -0.0063714958 -5.452675E-05 -5.452675E-05 -5.452675E-05
0 -0.0081731 -0.0123778 0.00222662 0.00962414 0.00325265 0.00319812 0.0031436 0.00308907
0 -0.0012933 0.00865664 0.01252488 0.05129819 0.04396473 -0.0786378 -0.0786378 -0.0786378
0 -0.0012933 0.00736336 0.01988824 0.07118644 0.11515116 0.03651337 -0.0421244 -0.1207622
0 5.126227E-06 5.8807451E-06 1.145809E-05 -2.42257E-05 -0.0000149 -3.179218E-05 -4.107738E-05 2.0068176E-05
*
2.0068E-05
1027083.3 *
1027083.3 1027083.3
xmax = 2.006818E-05
=
θ3 e
f
9.632
0
x 2.0068176E-05
2.87862451
EJERCICIO 03 E= I 1= I2= E*I1= E*I2=
29000 KSI 900 pulg4 850 pulg4
hc = L1= L2= L3=
12 24 30 24
26100000 KSI*pulg4 24650000 KSI*pulg4
CALCULO DEL K LATERAL
𝐾_��
𝐾_��
12808333.3 3818333.3 0.0 1087500.0 3818333.3 14355000.0 1740000.0 543750.0 0.0 1740000.0 12808333.3 1087500.0 1087500.0 543750.0 1087500.0 407812.5 𝐾_�� 𝐾_��
K=
pulg pulg pulg pulg
=
F(t)= ξ =
K=
407812.5
-
1087500.0
543750.0
1087500.0
*
K=
407812.5
-
185067.147
=
222745.4
KSI/pulg
* *
long total L 35
=
70
CALCULO DE LA MASA carg. Distrib W= w W= 2 m=
W g
=
70 368
FRACUENCIA NATURAL SIN AMORTIGUAMIENTO �_𝑛=√(𝐾/𝑚)= 1082.12945 rad/seg2 PERIODO =
T=(2∗𝜋)/�_𝑛 0.00580632 seg =
KSI pulg/seg2
=
0.19021739
12808333.3 3818333.3 0.0
KSI*seg2 pulg
T=(2∗𝜋)/�_𝑛 = Xmax =
Fo KL
*
B=
14 1082.12945
FAD
=
𝐹𝐴�= 1/√( 〖 (1−𝐵^2) 〗 ^2+ 〖 (2∗𝜉∗𝐵) 〗 ^2 ) = Xmax =
Fo
* KL
FAD =
0.012937454
1.000167406
2.245092E-05
θ1 θ3
* * Xmax * 𝐾_�� * Xmax =− 〖� ^�� 〗 ^(−1)
θ1
-8.4921E-08 0.000000023
θ2
θ2
=
θ3
-3.12E-09
2.2967E-08 -0.000000077 1.0466E-08
*
-3.12E-09 1.046577E-08 -7.9496E-08
θ1
-0.0832563
θ2
=
-0.0055327
*
θ3
-0.0841541
θ1
-1.8692E-06
rad
-1.2421E-07
rad
-1.8893E-06
rad
θ2
=
θ3
2.2451E-05
=
DIAGRAMA DE MOMENTO FLECTOR
θ1 b
θ2 c
θ3 e
a
Mab= Mba= Mbc= Mcb= Mcd= Mce= Mec= Mef= Mfe=
d
f
0.008 KSI*pulg -8.123 KSI*pulg -8.401 KSI*pulg -4.606 KSI*pulg 11.397 KSI*pulg -3.720 KSI*pulg -6.791 KSI*pulg -0.080 KSI*pulg -8.2987617 KSI*pulg
-8.401
-4.606
-3.720
-6.791
-8.123
11.397
-0.080
0.008
0
-8.2987617
5
*
SENO (
14
*
1087500.0 543750.0 1087500.0
0.05 -1 3818333.3 0.0 14355000.0 1740000.0 1740000.0 12808333.3
*
t
)
KIPS
1087500.0 543750.0 1087500.0
*
2.245092E-05
29000 KSI 1600 pulg4
hc = L1= L2=
12 15 20
46400000 KSI*pulg4
CALCULO DEL K LATERAL
𝐾_��
𝐾_��
27840000.0 6186666.7 0.0 1933333.3 6186666.7 33253333.3 4640000.0 966666.7 0.0 4640000.0 27840000.0 1933333.3 1933333.3 966666.7 1933333.3 725000.0 𝐾_�� 𝐾_��
K=
pulg pulg pulg
=
F(t)= ξ =
K=
725000.0
-
1933333.3
966666.7
1933333.3
*
K=
725000.0
-
270002.046
=
454998.0
KSI/pulg
* *
long total L 35
=
70
CALCULO DE LA MASA carg. Distrib W= w W= 2 m=
W g
=
70 368
FRACUENCIA NATURAL SIN AMORTIGUAMIENTO �_𝑛=√(𝐾/𝑚)=
1546.60572 rad/seg2
PERIODO =
T=(2∗𝜋)/�_𝑛 0.00406256 seg =
KSI pulg/seg2
=
0.19021739
27840000.0 6186666.7 0.0
KSI*seg2 pulg
Xmax =
Fo KL
*
B=
14 1546.60572
FAD
=
𝐹𝐴�= 1/√( 〖 (1−𝐵^2) 〗 ^2+ 〖 (2∗𝜉∗𝐵) 〗 ^2 ) = Xmax =
Fo
* KL
FAD =
0.009052081
1.000081947
0.00001099
θ1 * * Xmax * 𝐾_�� * Xmax = − 〖� ^�� 〗 ^(−1)
θ2 θ3
θ1
-3.7507E-08 7.144218E-09 -1.1907E-09
θ2
=
7.1442E-09
-3.2149E-08 5.3582E-09
θ3
-1.1907E-09 5.358163E-09 -3.6813E-08
θ1
-0.0679098
θ2
=
-0.0069061
*
θ3
-0.0682934
θ1
-7.4633E-07
rad
-7.5898E-08
rad
-7.5054E-07
rad
θ2
=
θ3
*
0.00001099
=
DIAGRAMA DE MOMENTO FLECTOR
θ1 b
θ2 c
θ3 e
a
Mab= Mba= Mbc= Mcb= Mcd= Mce= Mec= Mef= Mfe=
d
f
1.311 KSI*pulg -4.461 KSI*pulg -9.704 KSI*pulg -5.556 KSI*pulg 9.743 KSI*pulg -4.187 KSI*pulg -7.317 KSI*pulg 1.278 KSI*pulg -4.5259659 KSI*pulg
-9.704
-5.556
-4.187
-7.317
-4.461
9.743
1.278
1.311
0
-4.5259659
5
*
SENO (
14
*
1933333.3 966666.7 1933333.3
0.05 -1 6186666.7 0.0 33253333.3 4640000.0 4640000.0 27840000.0
*
t
)
KIPS
1933333.3 966666.7 1933333.3
*
0.00001099
EJERCICIO 02
3 Tn/m 0.3 0.6 L1=
0.3
0.3 0.6
5
L2=
0.6
0.3 0.6
h1 = 3.35
E= CALCULO DEL K LATERAL 21535.5 4320.0 0.0 5774.1
K=
4 0.3
h2 = 3
h2 =
2000000 Tn/m2 𝐾_��
4320.0 30240.0 5400.0 3600.0 𝐾_��
0.0 5400.0 15066.7 2133.3
𝐾_��
5774.1 3600.0 2133.3 43989.0 𝐾_��
ug =
0.15
ξ =
0.05
=
K=
43989.0
-
5774.1
3600.0
2133.3
*
K=
43989.0
-
1952.73516
=
42036.3
Tn/m
CALCULO DE LA MASA carg. Distrib W= w W= 3
* *
long total L 9
=
27
Tn m/seg2
=
m=
W g
=
27 9.81
FRACUENCIA NATURAL SIN AMORTIGUAMIENTO �_𝑛=√(𝐾/𝑚)= 123.584711 rad/seg2
2.75229358
21535.5 4320.0 0.0
Tn*seg2 m
PERIODO =
T=(2∗𝜋)/�_𝑛 0.05084112 seg = Xmax =
Fo KL
*
B=
40 123.584711
FAD
=
𝐹𝐴�= 1/√( 〖 (1−𝐵^2) 〗 ^2+ 〖 (2∗𝜉∗𝐵) 〗 ^2 ) = Xmax =
m * u * g *FAD = KL
0.32366463
1.11628808
0.00010755
θ1 θ2 θ3
* * Xmax * 𝐾_�� * Xmax = − 〖� ^�� 〗 ^(−1)
θ1 θ2
-4.7901E-05 =
7.311E-06 -2.6203E-06
7.311E-06 -3.6446E-05 1.3062E-05
θ3
-2.6203E-06 1.3062E-05 -7.1053E-05
θ1
-0.2558591
θ2
=
-0.0611239
*
θ3
-0.1196857
θ1
-2.7517E-05
rad
-6.5738E-06
rad
-1.2872E-05
rad
θ2 θ3
=
0.00010755
*
=
DIAGRAMA DE MOMENTO FLECTOR
Mab= Mba= Mbc= Mcb= Mcd= Mce= Mec= Mef= Mfe=
θ1 b
θ2 c
θ3 e
a
d
f
0.030 -0.148 -0.266 -0.176 0.316 -0.141 -0.175 0.022 0.049
-0.266
Tn*m Tn*m Tn*m Tn*m Tn*m Tn*m Tn*m Tn*m Tn*m
-0.176
-0.148
0.030
-0.141
-0.175
0.316
0.022
0
0.049
DIAGRAMA DE FUERZA CORTANTE F= F= F=
DFC
4.52096673
K 42036.3 4.52096673
4.52096673
* *
x 0.00010755
4.52096673
4.52096673
0.4 3
*
g
SENO (
40
*
5774.1 3600.0 2133.3
-1 4320.0 30240.0 5400.0
0.0 5400.0 15066.7
*
t
)
m/s2
5774.1 3600.0 2133.3
*
0.00010755
4.52096673
4.52096673
EJERCICIO 03 E= I1 = I2 = E*I1= E*I2=
29000 KSI 1700 pulg4 1500 pulg4
hc = Lv=
12 20
pulg pulg
49300000 KSI*pulg4 43500000 KSI*pulg4
I1=Ic I2=Iv CALCULO DEL K LATERAL 21025000.0 4350000.0 0.0 1027083.3
K=
𝐾_��
4350000.0 0.0 29725000.0 4350000.0 4350000.0 21025000.0 1027083.3 1027083.3 𝐾_��
𝐾_��
1027083.3 1027083.3 1027083.3 256770.8 𝐾_��
=
K=
256770.8
-
1027083.3
1027083.3
1027083.3
*
K=
256770.8
-
113328.577
=
143442.3
KSI/pulg
CALCULO DE LA MASA carg. Distrib W= w W= 3.5
* *
long total L 40
=
140
m=
W g
=
140 368
FRACUENCIA NATURAL SIN AMORTIGUAMIENTO �_𝑛=√(𝐾/𝑚)= 614.04252 rad/seg2 PERIODO =
T=(2∗𝜋)/�_𝑛 0.01023249 seg =
KSI pulg/seg2
=
0.3804347826
t 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8
F 0 5 8.66 10 8.66 5 0 0 0
Chart Title 12 10 8 6 4 2 0
t 1 2 3 4 5 6 7 8 9
0
Δt 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
θ1 θ2 θ3
θ3
0.2
0.3
Fi 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1
0 5 8.66 10 8.66 5 0 0 0
0.4
0.5
0.6
w 614.043 614.043 614.043 614.043 614.043 614.043 614.043 614.043 614.043
0.7
0.8
w*t 0.000 61.404 122.809 184.213 245.617 307.021 368.426 429.830 491.234
* * Xmax * 𝐾_�� * Xmax = − 〖� ^�� 〗 ^(−1)
θ1 θ2
0.1
-4.909532E-08 7.4090081E-09 -1.532898E-09 =
7.4090081E-09 -3.581021E-08 7.4090081E-09 -1.532898E-09 7.4090081E-09 -4.909532E-08
0.9
θ1
-0.0443897344
θ2
=
-0.0215607281
*
θ3
-0.0443897344
θ1
-8.90821E-07
rad
-4.326845E-07
rad
-8.90821E-07
rad
θ2
=
θ3
2.0068176E-05
DIAGRAMA DE MOMENTO FLECTOR
θ1 b
θ2 c
a
d
Mba= Mbc= Mcb= Mcd= Mce= Mec= Mef=
9.632 -9.632 -7.639 15.279 -7.639 -9.632 9.632
-9.632
KSI*pulg KSI*pulg KSI*pulg KSI*pulg KSI*pulg KSI*pulg KSI*pulg
-7.639
-7.639
9.632
15.279
0
0
-9.632
DIAGRAMA DE FUERZA CORTANTE F= F=
K 143442.3
* *
F=
2.87862451 DFC
2.8786245117
2.8786245117
-1 21025000.0 4350000.0 0.0
KSI*seg2 pulg
4350000.0 0.0 29725000.0 4350000.0 4350000.0 21025000.0
*
1027083.3 1027083.3 1027083.3
0.7
0.8
0.9
A(t)
ΔA(t)
B(t)
ΔB(t)
x(t)
0 -0.0081731029 -0.0042047043 0.0146044254 0.0073975266 -0.0063714958 -5.452675E-05 -5.452675E-05 -5.452675E-05
0 -0.0081731 -0.0123778 0.00222662 0.00962414 0.00325265 0.00319812 0.0031436 0.00308907
0 -0.0012933 0.00865664 0.01252488 0.05129819 0.04396473 -0.0786378 -0.0786378 -0.0786378
0 -0.0012933 0.00736336 0.01988824 0.07118644 0.11515116 0.03651337 -0.0421244 -0.1207622
0 5.126227E-06 5.8807451E-06 1.145809E-05 -2.42257E-05 -0.0000149 -3.179218E-05 -4.107738E-05 2.0068176E-05
*
2.0068E-05
1027083.3 *
1027083.3 1027083.3
xmax = 2.006818E-05
=
θ3 e
f
9.632
0
x 2.0068176E-05
2.87862451
EJERCICIO 03 E= I 1= I2= E*I1= E*I2=
29000 KSI 900 pulg4 850 pulg4
hc = L1= L2= L3=
12 24 30 24
26100000 KSI*pulg4 24650000 KSI*pulg4
CALCULO DEL K LATERAL
𝐾_��
𝐾_��
12808333.3 3818333.3 0.0 1087500.0 3818333.3 14355000.0 1740000.0 543750.0 0.0 1740000.0 12808333.3 1087500.0 1087500.0 543750.0 1087500.0 407812.5 𝐾_�� 𝐾_��
K=
pulg pulg pulg pulg
=
F(t)= ξ =
K=
407812.5
-
1087500.0
543750.0
1087500.0
*
K=
407812.5
-
185067.147
=
222745.4
KSI/pulg
* *
long total L 35
=
70
CALCULO DE LA MASA carg. Distrib W= w W= 2 m=
W g
=
70 368
FRACUENCIA NATURAL SIN AMORTIGUAMIENTO �_𝑛=√(𝐾/𝑚)= 1082.12945 rad/seg2 PERIODO =
T=(2∗𝜋)/�_𝑛 0.00580632 seg =
KSI pulg/seg2
=
0.19021739
12808333.3 3818333.3 0.0
KSI*seg2 pulg
T=(2∗𝜋)/�_𝑛 = Xmax =
Fo KL
*
B=
14 1082.12945
FAD
=
𝐹𝐴�= 1/√( 〖 (1−𝐵^2) 〗 ^2+ 〖 (2∗𝜉∗𝐵) 〗 ^2 ) = Xmax =
Fo
* KL
FAD =
0.012937454
1.000167406
2.245092E-05
θ1 θ3
* * Xmax * 𝐾_�� * Xmax =− 〖� ^�� 〗 ^(−1)
θ1
-8.4921E-08 0.000000023
θ2
θ2
=
θ3
-3.12E-09
2.2967E-08 -0.000000077 1.0466E-08
*
-3.12E-09 1.046577E-08 -7.9496E-08
θ1
-0.0832563
θ2
=
-0.0055327
*
θ3
-0.0841541
θ1
-1.8692E-06
rad
-1.2421E-07
rad
-1.8893E-06
rad
θ2
=
θ3
2.2451E-05
=
DIAGRAMA DE MOMENTO FLECTOR
θ1 b
θ2 c
θ3 e
a
Mab= Mba= Mbc= Mcb= Mcd= Mce= Mec= Mef= Mfe=
d
f
0.008 KSI*pulg -8.123 KSI*pulg -8.401 KSI*pulg -4.606 KSI*pulg 11.397 KSI*pulg -3.720 KSI*pulg -6.791 KSI*pulg -0.080 KSI*pulg -8.2987617 KSI*pulg
-8.401
-4.606
-3.720
-6.791
-8.123
11.397
-0.080
0.008
0
-8.2987617
5
*
SENO (
14
*
1087500.0 543750.0 1087500.0
0.05 -1 3818333.3 0.0 14355000.0 1740000.0 1740000.0 12808333.3
*
t
)
KIPS
1087500.0 543750.0 1087500.0
*
2.245092E-05
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