armadura plana
DESCRIPTION
Armadura PlanaTRANSCRIPT
ALUMNA: MENA GUEVARA YANETCurso: Análisis Estructural II
20tn
10m
A= 1200E= 200 Elemento Angulo C
1-2 270 -1.838E-161-3 225 -0.7071071-4 315 0.70710682-5 135 -0.7071072-6 45 0.70710683-5 270 -1.837E-163-6 345.96 0.97012664-5 194.04 -0.9701274-6 270 -1.837E-16
U1 V1 U2 V20.000 0.000 0.000 0.000 U1
k12=0.000 12.000 0.000 -12.000 V10.000 0.000 0.000 0.000 U20.000 -12.000 0.000 12.000 V2
3
5
U1 V1 U3 V38.485 8.485 -8.485 -8.485 U1
k13=8.485 8.485 -8.485 -8.485 V1-8.485 -8.485 8.485 8.485 U3-8.485 -8.485 8.485 8.485 V3
U1 V1 U4 V48.485 -8.485 -8.485 8.485 U1
k14=-8.485 8.485 8.485 -8.485 V1-8.485 8.485 8.485 -8.485 U48.485 -8.485 -8.485 8.485 V4
MATRIZ
U1 V1 U2 V2 U3 V3 U416.97 0.00 0.00 0.00 -8.49 -8.49 -8.490.00 28.97 0.00 -12.00 -8.49 -8.49 8.490.00 0.00 21.47 0.00 0.00 0.00 0.000.00 -12.00 0.00 33.47 0.00 0.00 0.00-8.49 -8.49 0.00 0.00 19.44 5.75 0.00-8.49 -8.49 0.00 0.00 5.75 57.17 0.00-8.49 8.49 0.00 0.00 0.00 0.00 11.648.49 -8.49 0.00 0.00 0.00 0.00 0.000.00 0.00 -10.73 10.73 0.00 0.00 -10.960.00 0.00 10.73 -10.73 0.00 -48.00 -2.740.00 0.00 -10.73 -10.73 -10.96 2.74 0.000.00 0.00 -10.73 -10.73 2.74 -0.69 0.00
U5 V5 V6 U1 V1x5 21.69 -7.99 0.00 0.00 0.00y5 -7.99 61.47 0.00 0.00 0.00
y6 0.00 0.00 59.64 0.00 0.000 0.00 0.00 0.00 16.97 0.00
-294.2 0.00 0.00 0.00 0.00 28.970 -10.73 10.73 -10.73 0.00 0.000 10.73 -10.73 -10.73 0.00 -12.000 0.00 0.00 2.74 -8.49 -8.49
-196.13 ₌ 0.00 -48.00 -0.69 -8.49 -8.490 -10.96 -2.74 0.00 -8.49 8.49
-294.2 -2.74 -2.74 -48.00 8.49 -8.490 0.00 0.00 -0.01 0.00 0.00
HALLANDO DESPLAZAMIENTOS
0 0.00 0.00 0.00 0-294.2 0.00 0.00 0.00 * 0
0 -10.73 10.73 -10.73 0
0 10.73 -10.73 -10.73
0 ₌ 0.00 0.00 2.74-196.13 0.00 -48.00 -0.69
0 -10.96 -2.74 0.00-294.2 -2.74 -2.74 -48.00
0 0.00 0.00 -0.01
0 16.97 0.00 0.00 0.00 -8.49-294.2 0.00 28.97 0.00 -12.00 -8.49
0 0.00 0.00 21.47 0.00 0.000 0.00 -12.00 0.00 33.47 0.000 ₌ -8.49 -8.49 0.00 0.00 19.44
-196.13 -8.49 -8.49 0.00 0.00 5.750 -8.49 8.49 0.00 0.00 0.00
-294.2 8.49 -8.49 0.00 0.00 0.000 0.00 0.00 -10.73 -10.73 -10.96
U1 -0.905 ### ### 1309.709 ###V1 1036.336 0.475 992.690 0.558 1036.336U2 ### 992.690 ### 1266.063 ###V2 1309.709 0.558 1266.063 0.725 1309.709U3 ₌ ### ### ### 1309.709 ###
V3 34.130 0.010 17.060 0.010 34.130U4 -0.091 0.000 -0.091 0.000 -0.091V4 68.342 0.042 68.342 0.042 68.342U6 ### 992.690 ### 1266.063 ###
DESPLAZAMIENTOS
U2 ₌ -331689.8U3 ₌ -154.0936V3 ₌ -315501U4 ₌ -178.5954V4 ₌ -331689.8U5 ₌ -7.145094V5 ₌ 0.016793U6 ₌ -18.38342V6 ₌ -315501.1
HALLANDO REACCIONES
x5 21.69 -7.99 0.00 0
y5 ₌ -7.99 61.47 0.00 . 0
y6 0.00 0.00 59.64 0
REACCIONES
x5 ₌ ### KNy5 ₌ 48.96 KNy6 ₌ 735.57 KN
COMPROBACION
ƩFx= 0.00 KNƩFy= 784.53 KN OK
FUERZAS INTERNAS
S12 ₌ 12 * -1.84E-16 -1
S13 ₌ 16.9706 * -0.707107 -0.707107
S14 ₌ 16.9706 * 0.7071068 -0.707107
S25 ₌ 21.4663 * -0.707107 0.7071068
S26 ₌ 21.4663 * 0.7071068 0.7071068
S35 ₌ 48 * -1.84E-16 -1
S36 ₌ 11.6417 * 0.9701266 -0.242599
S45 ₌ 11.6417 * -0.970127 -0.242599
S46 ₌ 48 * -1.84E-16 -1
30tn
FUERZAS30tn
10m y1= -30y3= -20y4= -30
5mƩ= -80
5m1 tonelada equivale a 9.806652 KN
10m 10m
S CS E L A/L EA/L-1 3.3772E-32 1 1.8377E-16 200 20000 0.06 12
-0.7071068 0.5 0.5 0.5 200 14142.1356 0.08485281 16.9705627-0.7071068 0.5 0.5 -0.5 200 14142.1356 0.08485281 16.97056270.70710678 0.5 0.5 -0.5 200 11180.3399 0.10733126 21.46625260.70710678 0.5 0.5 0.5 200 11180.3399 0.10733126 21.4662526
-1 3.3745E-32 1 1.837E-16 200 5000 0.24 48-0.2425992 0.9411456 0.0588544 -0.235352 200 20615.5281 0.05820855 11.64171-0.2425992 0.9411456 0.0588544 0.23535197 200 20615.5281 0.05820855 11.64171
-1 3.3745E-32 1 1.837E-16 200 5000 0.24 48
U2 V2 U5 V510.733 -10.733 -10.733 10.733 U2
k25= -10.733 10.733 10.733 -10.733 V2 k36=-10.733 10.733 10.733 -10.733 U510.733 -10.733 -10.733 10.733 V5
C² S²
1
4
2
6
U2 V2 U6 V610.733 10.733 -10.733 -10.733 U2
k26= 10.733 10.733 -10.733 -10.733 V2 k45=-10.733 -10.733 10.733 10.733 U6-10.733 -10.733 10.733 10.733 V6
U3 V3 U5 V50.000 0.000 0.000 0.000 U3
k35= 0.000 48.000 0.000 -48.000 V3 k46=0.000 0.000 0.000 0.000 U50.000 -48.000 0.000 48.000 V5
V4 U5 V5 U6 V68.49 0.00 0.00 0.00 0.00 U1-8.49 0.00 0.00 0.00 0.00 V10.00 -10.73 10.73 -10.73 -10.73 U20.00 10.73 -10.73 -10.73 -10.73 V20.00 0.00 0.00 -10.96 2.74 U30.00 0.00 -48.00 2.74 -0.69 V30.00 -10.96 -2.74 0.00 0.00 U4
64.97 -2.74 -2.74 0.00 -48.00 V4-2.74 21.69 -7.99 0.00 0.00 U5-2.74 -7.99 61.47 0.00 0.00 V50.00 0.00 0.00 21.47 -0.01 U6
-48.00 0.00 0.00 -0.01 59.64 V6
V2 U2 U3 V3 U4 V4 U6
-10.73 10.73 0.00 0.00 -10.96 -2.74 0.0010.73 -10.73 0.00 -48.00 -2.74 -2.74 0.00
-10.73 -10.73 2.74 -0.69 0.00 -48.00 -0.010.00 0.00 -8.49 -8.49 -8.49 8.49 0.000.00 -12.00 -8.49 -8.49 8.49 -8.49 0.00
21.47 0.00 0.00 0.00 0.00 0.00 -10.73 +0.00 33.47 0.00 0.00 0.00 0.00 -10.730.00 0.00 19.44 5.75 0.00 0.00 -10.960.00 0.00 5.75 57.17 0.00 0.00 2.740.00 0.00 0.00 0.00 11.64 0.00 0.000.00 0.00 0.00 0.00 0.00 64.97 0.00
-10.73 -10.73 -10.96 2.74 0.00 0.00 21.47
16.97 0.00 0.00 0.00 -8.49 -8.49 -8.490.00 28.97 0.00 -12.00 -8.49 -8.49 8.490.00 0.00 21.47 0.00 0.00 0.00 0.00
₊ 0.00 -12.00 0.00 33.47 0.00 0.00 0.00
-8.49 -8.49 0.00 0.00 19.44 5.75 0.00-8.49 -8.49 0.00 0.00 5.75 57.17 0.00-8.49 8.49 0.00 0.00 0.00 0.00 11.648.49 -8.49 0.00 0.00 0.00 0.00 0.000.00 0.00 -10.73 -10.73 -10.96 2.74 0.00
-8.49 -8.49 8.49 0.00 U1-8.49 8.49 -8.49 0.00 V10.00 0.00 0.00 -10.73 U20.00 0.00 0.00 -10.73 V25.75 0.00 0.00 -10.96 * U3
57.17 0.00 0.00 2.74 V30.00 11.64 0.00 0.00 U40.00 0.00 64.97 0.00 V42.74 0.00 0.00 21.47 U6
34.130 -0.091 68.342 ### 00.010 0.000 0.042 992.690 -294.19956
17.060 -0.091 68.342 ### 00.010 0.000 0.042 1266.063 * 0
34.130 -0.091 68.342 ### 0
0.021 0.000 0.000 17.060 -196.133040.000 0.086 0.000 -0.091 00.000 0.000 0.021 68.342 -294.19956
17.060 -0.091 68.342 ### 0
0.00 0.00 -10.73 10.73 0.00 0.00 -10.96
₊ 0.00 0.00 10.73 -10.73 0.00 -48.00 -2.74
0.00 0.00 -10.73 -10.73 2.74 -0.69 0.00
* -331689.79 ₌ 12.00 * 0.00 ₌ -2.4382E-100.00
* -154.09 ₌ 16.97 * 154.14 ₌ 2615.8523-154.09
* -178.60 ₌ 16.97 * 331689.76 ₌ 5628961.81-331689.83
* 331682.65 ₌ 21.47 * -202.14 ₌ -4339.143950.02
* 331671.41 ₌ 21.47 * 331623.35 ₌ 7118710.57-315501.05
* 146.95 ₌ 48.00 * -315501.04 ₌ -15144050315501.04
* 135.71 ₌ 11.64 * 0.20 ₌ 2.34205848-0.04
* 171.45 ₌ 11.64 * -196.71 ₌ -2290.04546331689.84
* 160.21 ₌ 48.00 * -16188.77 ₌ -777061.02216188.77
tn -294.20 KNtn -196.13 KNtn -294.20 KN
tn -784.53 KN
1 tonelada equivale a 9.806652 KN
U3 V3 U6 V610.957 -2.740 -10.957 2.740 U3-2.740 0.685 2.740 -0.685 V3
-10.957 2.740 10.957 -2.740 U62.740 -0.685 -2.740 0.685 V6
U4 V4 U5 V510.957 2.740 -10.957 -2.740 U42.740 2.740 -2.740 -2.740 V4
-10.957 -2.740 10.957 2.740 U5-2.740 -2.740 2.740 2.740 V5
U4 V4 U6 V60.000 0.000 0.000 0.000 U40.000 48.000 0.000 -48.000 V40.000 0.000 0.000 0.000 U60.000 -48.000 0.000 48.000 V6
00
0U1V1U2V2U3V3U4V4U6
8.49 0.00 U1-8.49 0.00 V10.00 -10.73 U2
0.00 -10.73 V2
0.00 -10.96 * U30.00 2.74 V30.00 0.00 U4
64.97 0.00 V40.00 21.47 U6
-2.74 0.00 -331689.79117
-2.74 0.00 * -154.09363794
-48.00 -0.01 -315501.01853-178.59542627-331689.82538-7.14509395240.0167930086-18.383421703-315501.05408
ALUMNO: MENDOZA GARCIA ANYELO EDUARDOCurso: Análisis Estructural II 25K
45°
15K
20K
20´
A= 1200E= 200 Elemento Angulo C
1-2 0 11-3 180.03492 -11-7 270.01746 0.00030462-4 270.00873 0.00015232-6 180.01746 -13-5 270.03492 0.00060953-6 270 -1.837E-164-5 180.00873 -14-7 270 -1.837E-165-6 180 -15-7 0 1
3
6
1
U1 V1 U2 V239.370 0.000 -39.370 0.000 U1
k12=0.000 0.000 0.000 0.000 V1
-39.370 0.000 39.370 0.000 U20.000 0.000 0.000 0.000 V2
U1 V1 U3 V335.214 0.021 -35.214 -0.021 U1
k13=0.021 0.000 -0.021 0.000 V1
-35.214 -0.021 35.214 0.021 U3-0.021 0.000 0.021 0.000 V3
U1 V1 U7 V70.000 -0.006 0.000 0.006 U1
k17=-0.006 18.559 0.006 -18.559 V10.000 0.006 0.000 -0.006 U70.006 -18.559 -0.006 18.559 V7
U5 V5 U6 V639.370 0.000 -39.370 0.000 U5
k56= 0.000 0.000 0.000 0.000 V5-39.370 0.000 39.370 0.000 U60.000 0.000 0.000 0.000 V6
MATRIZ
U1 V1 U2 V2 U3 V3 U474.58 0.02 -39.37 0.00 -35.21 -0.02 0.000.02 18.56 0.00 0.00 -0.02 0.00 0.00
-39.37 0.00 57.93 0.00 0.00 0.00 0.000.00 0.00 0.00 35.21 0.00 0.00 0.01
-35.21 -0.02 0.00 0.00 35.21 0.00 0.00-0.02 0.00 0.00 0.00 0.00 113.95 0.000.00 0.00 0.00 0.01 0.00 0.00 35.210.00 0.00 0.01 -35.21 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.02 -35.210.00 0.00 0.00 0.00 0.02 -35.21 -0.010.00 0.00 -18.56 -0.01 0.00 0.00 0.000.00 0.00 -0.01 0.00 0.00 -78.74 0.000.00 0.01 0.00 0.00 0.00 0.00 0.000.01 -18.56 0.00 0.00 0.00 0.00 0.00
V6 U7 V7 U1 V1Y6 78.74 0.00 0.00 0.00 0.00X7 0.00 39.37 -0.01 0.00 0.01Y7 0.00 -0.01 97.30 0.01 -18.56
0.17336 0.00 0.00 0.01 74.58 0.020.17336 0.00 0.01 -18.56 0.02 18.56
0 -0.01 0.00 0.00 -39.37 0.00-0.4903 0.00 0.00 0.00 0.00 0.000.1471 0.00 0.00 0.00 -35.21 -0.02
0 -78.74 0.00 0.00 -0.02 0.000 0.00 0.00 0.00 0.00 0.000 0.00 0.00 -78.74 0.00 0.000 ₌ 0.00 -39.37 0.00 0.00 0.000 0.00 0.00 0.00 0.00 0.00
0.19613 0.01 0.00 0.00 0.00 0.00
HALLANDO DESPLAZAMIENTOS
0.17336 0.00 0.00 0.01 00.17336 0.00 0.01 -18.56 * 0
0 -0.01 0.00 0.00 0
-0.4903 0.00 0.00 0.00
0.1471 ₌ 0.00 0.00 0.000 -78.74 0.00 0.000 0.00 0.00 0.000 0.00 0.00 -78.740 0.00 -39.37 0.000 0.00 0.00 0.00
0.19613 0.01 0.00 0.00
0.17336 74.58 0.02 -39.37 0.00 -35.210.17336 0.02 18.56 0.00 0.00 -0.02
0 -39.37 0.00 57.93 0.00 0.00-0.4903 0.00 0.00 0.00 35.21 0.000.1471 ₌ -35.21 -0.02 0.00 0.00 35.21
0 -0.02 0.00 0.00 0.00 0.000 0.00 0.00 0.00 0.01 0.000 0.00 0.00 0.01 -35.21 0.000 0.00 0.00 0.00 0.00 0.000 0.00 0.00 0.00 0.00 0.02
0.19613 0.00 0.00 -18.56 -0.01 0.00
U1 0.130 0.000 0.105 0.000 0.130V1 0.000 0.054 0.000 0.000 0.000U2 0.105 0.000 0.105 0.000 0.105V2 0.000 0.000 0.000 0.041 0.000U3 ₌ 0.130 0.000 0.105 0.000 0.158V3 0.000 0.000 0.000 0.000 0.000U4 0.025 0.000 0.025 0.000 0.025V4 0.000 0.000 0.000 0.013 0.000U5 0.025 0.000 0.025 0.000 0.025V5 0.000 0.000 0.000 0.000 0.000U6 0.051 0.000 0.051 0.000 0.051
DESPLAZAMIENTOS
U1 ₌ 0.0516564V1 ₌ 0.0093614U2 ₌ 0.0435154V2 ₌ -0.020151U3 ₌ 0.0558394V3 ₌ -1.561E-06
U4 ₌ 0.0131258V4 ₌ -0.006228U5 ₌ 0.0131228V5 ₌ -2.854E-05U6 ₌ 0.0262436
HALLANDO REACCIONES
Y6 78.74 0.00 0.00 0
X7 ₌ 0.00 39.37 -0.01 . 0
Y7 0.00 -0.01 97.30 0
REACCIONES
Y6 ₌ 0.00 KNX7 ₌ -0.516592 KNY7 ₌ 0.3169486 KN
COMPROBACION
ƩFx= -0.52 KNƩFy= 0.32 KN OK
FUERZAS INTERNAS
S12 ₌ 39.3701 * 1 0
S13 ₌ 35.2137 * -1 -0.000609
S17 ₌ 18.5592 * 0.0003046 -1
S24 ₌ 35.2137 * 0.0001523 -1
S26 ₌ 18.5592 * -1 -0.000305
S35 ₌ 35.2137 * 0.0006095 -1
S36 ₌ 78.7402 * -1.84E-16 -1
S45 ₌ 35.2137 * -1 -0.000152
S47 ₌ 78.7402 * -1.84E-16 -1
S56 ₌ 39.3701 * -1 1.225E-16
S57 ₌ 39.3701 * 1 0
FUERZAS
50K X1= 17.6776695X3= 15X6= 20
Ʃ= 52.677669520´
1 kilogramo equivale a 0.009806652 KN
10´
LONGITUD
30´= 914420´ 20´ 20´= 6096
10´= 3048
S CS E L A/L EA/L0 1 0 0 200 6096 0.19685039 39.3700787
-0.0006095 0.9999996 3.7147E-07 0.00060948 200 6815.5351954 0.17606834 35.2136689-1 9.2811E-08 0.9999999 -0.0003046 200 12931.568814 0.09279617 18.5592331-1 2.3199E-08 1 -0.0001523 200 6815.5351954 0.17606834 35.2136689
-0.0003046 0.9999999 9.2811E-08 0.00030465 200 12931.568814 0.09279617 18.5592331-1 3.7147E-07 0.9999996 -0.0006095 200 6815.5351954 0.17606834 35.2136689-1 3.3745E-32 1 1.837E-16 200 3048 0.39370079 78.7401575
-0.0001523 1 2.3199E-08 0.00015231 200 6815.5351954 0.17606834 35.2136689-1 3.3745E-32 1 1.837E-16 200 3048 0.39370079 78.7401575
1.2246E-16 1 1.4998E-32 -1.225E-16 200 6096 0.19685039 39.37007870 1 0 0 200 6096 0.19685039 39.3700787
C² S²
4
7
21
5
U2 V2 U4 V40.000 -0.005 0.000 0.005 U2
k24= -0.005 35.214 0.005 -35.214 V2 k36=0.000 0.005 0.000 -0.005 U40.005 -35.214 -0.005 35.214 V4
U2 V2 U6 V618.559 0.006 -18.559 -0.006 U2
k26= 0.006 0.000 -0.006 0.000 V2 k45=-18.559 -0.006 18.559 0.006 U6-0.006 0.000 0.006 0.000 V6
U3 V3 U5 V50.000 -0.021 0.000 0.021 U3
k35= -0.021 35.214 0.021 -35.214 V3 k47=0.000 0.021 0.000 -0.021 U50.021 -35.214 -0.021 35.214 V5
U5 V5 U7 V739.370 0.000 -39.370 0.000 U5
k57= 0.000 0.000 0.000 0.000 V5-39.370 0.000 39.370 0.000 U70.000 0.000 0.000 0.000 V7
V4 U5 V5 U6 V6 U7 V70.00 0.00 0.00 0.00 0.00 0.00 0.01 U10.00 0.00 0.00 0.00 0.00 0.01 -18.56 V10.01 0.00 0.00 -18.56 -0.01 0.00 0.00 U2
-35.21 0.00 0.00 -0.01 0.00 0.00 0.00 V2
0.00 0.00 0.02 0.00 0.00 0.00 0.00 U30.00 0.02 -35.21 0.00 -78.74 0.00 0.00 V30.00 -35.21 -0.01 0.00 0.00 0.00 0.00 U4
113.96 -0.01 -0.01 0.00 0.00 0.00 -78.74 V4-0.01 113.95 -0.02 -39.37 0.00 -39.37 0.00 U5-0.01 -0.02 35.22 0.00 0.00 0.00 0.00 V50.00 -39.37 0.00 57.93 0.01 0.00 0.00 U60.00 0.00 0.00 0.01 78.74 0.00 0.00 V60.00 -39.37 0.00 0.00 0.00 39.37 -0.01 U7
-78.74 0.00 0.00 0.00 0.00 -0.01 97.30 V7
U2 V2 U3 V3 U4 V4 U5 V5
-0.01 0.00 0.00 -78.74 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 -39.37 0.000.00 0.00 0.00 0.00 0.00 -78.74 0.00 0.00
-39.37 0.00 -35.21 -0.02 0.00 0.00 0.00 0.000.00 0.00 -0.02 0.00 0.00 0.00 0.00 0.00
57.93 0.00 0.00 0.00 0.00 0.01 0.00 0.000.00 35.21 0.00 0.00 0.01 -35.21 0.00 0.000.00 0.00 35.21 0.00 0.00 0.00 0.00 0.020.00 0.00 0.00 113.95 0.00 0.00 0.02 -35.210.00 0.01 0.00 0.00 35.21 0.00 -35.21 -0.010.01 -35.21 0.00 0.00 0.00 113.96 -0.01 -0.010.00 0.00 0.00 0.02 -35.21 -0.01 113.95 -0.020.00 0.00 0.02 -35.21 -0.01 -0.01 -0.02 35.22
-18.56 -0.01 0.00 0.00 0.00 0.00 -39.37 0.00
74.58 0.02 -39.37 0.00 -35.21 -0.02 0.000.02 18.56 0.00 0.00 -0.02 0.00 0.00
-39.37 0.00 57.93 0.00 0.00 0.00 0.00
₊ 0.00 0.00 0.00 35.21 0.00 0.00 0.01
-35.21 -0.02 0.00 0.00 35.21 0.00 0.00-0.02 0.00 0.00 0.00 0.00 113.95 0.000.00 0.00 0.00 0.01 0.00 0.00 35.210.00 0.00 0.01 -35.21 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.02 -35.210.00 0.00 0.00 0.00 0.02 -35.21 -0.01
0.00 0.00 -18.56 -0.01 0.00 0.00 0.00
-0.02 0.00 0.00 0.00 0.00 0.00 U10.00 0.00 0.00 0.00 0.00 0.00 V10.00 0.00 0.01 0.00 0.00 -18.56 U20.00 0.01 -35.21 0.00 0.00 -0.01 V20.00 0.00 0.00 0.00 0.02 0.00 * U3
113.95 0.00 0.00 0.02 -35.21 0.00 V30.00 35.21 0.00 -35.21 -0.01 0.00 U40.00 0.00 113.96 -0.01 -0.01 0.00 V40.02 -35.21 -0.01 113.95 -0.02 -39.37 U5
-35.21 -0.01 -0.01 -0.02 35.22 0.00 V50.00 0.00 0.00 -39.37 0.00 57.93 U6
0.000 0.025 0.000 0.025 -6.37884E-05 0.0507999988 0.173358750.000 0.000 0.000 0.000 -3.9444E-08 1.5476168E-05 0.173358750.000 0.025 0.000 0.025 -4.8311E-05 0.0507999988 00.000 0.000 0.013 0.000 2.797545E-06 3.8676999E-06 * -0.49033260.000 0.025 0.000 0.025 -8.88315E-05 0.0508000082 0.147099780.013 0.000 0.000 0.000 0.012697206 1.0540387E-09 00.000 0.054 0.000 0.025 6.257976E-06 0.0253999976 00.000 0.000 0.013 0.000 2.800585E-06 -1.054038E-09 00.000 0.025 0.000 0.025 -2.87383E-12 0.0254 00.013 0.000 0.000 0.000 0.041089077 -1.547746E-05 00.000 0.025 0.000 0.025 -1.54775E-05 0.0508 0.19613304
0.00 0.00 -0.01 0.00 0.00 -78.74 0.00
₊ 0.00 0.01 0.00 0.00 0.00 0.00 0.00
0.01 -18.56 0.00 0.00 0.00 0.00 0.00
* -0.01 ₌ 39.37 * -0.01 ₌ -0.32051139-0.03
* 0.00 ₌ 35.21 * 0.00 ₌ -0.14709983-0.01
* -0.05 ₌ 18.56 * 0.01 ₌ 0.17344842-0.01
* -0.03 ₌ 35.21 * -0.01 ₌ -0.490430230.01
* -0.02 ₌ 18.56 * 0.02 ₌ 0.320436710.02
* -0.04 ₌ 35.21 * 0.00 ₌ 3.32346E-050.00
* -0.03 ₌ 78.74 * 0.00 ₌ -0.000122890.00
* 0.00 ₌ 35.21 * 0.00 ₌ 7.4699E-050.01
* -0.01 ₌ 78.74 * 0.01 ₌ 0.49039699-0.01
* 0.01 ₌ 39.37 * -0.01 ₌ -0.516569740.00
* -0.01 ₌ 39.37 * -0.01 ₌ -0.516644410.00
K 0.17 KN y1= 17.68 K 0.17K 0.15 KN y2= -50.00 K -0.49K 0.20 KN
Ʃ= -32.32 K -0.32K 0.52 KN
1 kilogramo equivale a 0.009806652 KN
mmmmmm
U3 V3 U6 V60.000 0.000 0.000 0.000 U30.000 78.740 0.000 -78.740 V30.000 0.000 0.000 0.000 U60.000 -78.740 0.000 78.740 V6
U4 V4 U5 V535.214 0.005 -35.214 -0.005 U40.005 0.005 -0.005 -0.005 V4
-35.214 -0.005 35.214 0.005 U5-0.005 -0.005 0.005 0.005 V5
U4 V4 U7 V70.000 0.000 0.000 0.000 U40.000 78.740 0.000 -78.740 V40.000 0.000 0.000 0.000 U70.000 -78.740 0.000 78.740 V7
U6
0.01 00.00 00.00 0
0.00 U10.00 V1
-18.56 U2-0.01 V20.00 U30.00 + V30.00 U40.00 V4
-39.37 U50.00 V5
57.93 U6
0.00 0.00 0.00 0.00 U10.00 0.00 0.00 0.00 V10.01 0.00 0.00 -18.56 U2
-35.21 0.00 0.00 -0.01 V2
0.00 0.00 0.02 0.00 * U30.00 0.02 -35.21 0.00 V30.00 -35.21 -0.01 0.00 U4
113.96 -0.01 -0.01 0.00 V4-0.01 113.95 -0.02 -39.37 U5-0.01 -0.02 35.22 0.00 V5
0.00 -39.37 0.00 57.93 U6
0.00 0.00 0.00 0.01 0.05165639
0.00 -39.37 0.00 0.00 * 0.0093614
-78.74 0.00 0.00 0.00 0.0435154-0.020150680.05583945-1.5607E-060.01312583-0.006228040.01312277-2.854E-050.02624364
KNKN
KN
ALUMNO: MENDOZA GARCIA ANYELO EDUARDOCurso: Análisis Estructural II
20tn
10m
A= 1200E= 200 Elemento Angulo C
1-2 270 -1.838E-161-3 225 -0.7071071-4 315 0.70710682-5 135 -0.7071072-6 45 0.70710683-5 270 -1.837E-163-6 345.96 0.97012664-5 194.04 -0.9701274-6 270 -1.837E-16
U1 V1 U2 V20.000 0.000 0.000 0.000 U1
k12=0.000 12.000 0.000 -12.000 V10.000 0.000 0.000 0.000 U20.000 -12.000 0.000 12.000 V2
3
5
U1 V1 U3 V38.487 8.487 -8.487 -8.487 U1
k13=8.487 8.487 -8.487 -8.487 V1-8.487 -8.487 8.487 8.487 U3-8.487 -8.487 8.487 8.487 V3
U1 V1 U4 V48.487 -8.487 -8.487 8.487 U1
k14=-8.487 8.487 8.487 -8.487 V1-8.487 8.487 8.487 -8.487 U48.487 -8.487 -8.487 8.487 V4
MATRIZ
U1 V1 U2 V2 U3 V3 U416.97 0.00 0.00 0.00 -8.49 -8.49 -8.490.00 28.97 0.00 -12.00 -8.49 -8.49 8.490.00 0.00 21.47 0.000.00 -12.00 0.00 33.47-8.49 -8.49 53.66 -2.81-8.49 -8.49 -2.81 59.31-8.49 8.49 19.448.49 -8.49 -5.75
-10.73 10.73 0.00 0.00 -10.9510.73 -10.73 0.00 -48.00 -2.74-10.73 -10.73 -45.17 11.30 0.00-10.73 -10.73 11.30 -2.83 0.00
U5 V5 V6 U1 V1
x5 x5 ₌ 21.69 -7.99 0.00 0.00 0.00y5 y5 -7.99 61.47 0.00 0.00 0.00y6 y6 0.00 0.00 25.20 0.00 0.00x1 0 0.00 0.00 0.00 16.97 0.00
y1 -294.20 0.00 0.00 0.00 0.00 28.97x2 0 -10.73 10.73 -10.73 0.00 0.00y2 0 10.73 -10.73 -10.73 0.00 -12.00x3 0 0.00 0.00 11.30 -8.49 -8.49y3 -196.13 0.00 -48.00 -2.83 -8.49 -8.49x4 0 -10.95 -2.74 0.00 -8.49 8.49y4 -294.20 -2.74 -2.74 -11.64 8.49 -8.49x6 0 0.00 0.00 -0.56 0.00 0.00
HALLANDO DESPLAZAMIENTOS
0 0.00 0.00 0.00 0-294.20 0.00 0.00 0.00 * 0
0 -10.73 10.73 -10.73 0
0 10.73 -10.73 -10.73
0 ₌ 0.00 0.00 11.30-196.13 0.00 -48.00 -2.83
0 -10.95 -2.74 0.00-294.20 -2.74 -2.74 -11.64
0 0.00 0.00 -0.56
0 16.97 0.00 0.00 0.00 -8.49-294.20 0.00 28.97 0.00 -12.00 -8.49
0 0.00 0.00 21.47 0.00 0.000 0.00 -12.00 0.00 33.47 0.000 ₌ -8.49 -8.49 0.00 0.00 53.66
-196.13 -8.49 -8.49 0.00 0.00 -2.810 -8.49 8.49 0.00 0.00 0.00
-294.20 8.49 -8.49 0.00 0.00 0.000 0.00 0.00 -10.73 -10.73 -45.17
u1 #VALUE! ### ### ### ###v1 ### ### ### ### ###u2 ### ### ### ### ###v2 ### ### ### ### ###u3 ₌ ### ### ### ### ###v3 ### ### ### ### ###u4 ### ### ### ### ###
v4 ### ### ### ### ###u6 ### ### ### ### ###
DESPLAZAMIENTOS
u1 ₌ #VALUE!v1 ₌ 5.028E+30u2 ₌ 5.028E+30v2 ₌ 5.028E+30u3 ₌ 1.006E+31v3 ₌ -1.52E+15u4 ₌ -9.62E+14v4 ₌ 1.813E+15u6 ₌ 1.006E+31
HALLANDO REACCIONES
x5 21.69 -7.99 0.00 0
y5 ₌ -7.99 61.47 0.00 . 0
y6 0.00 0.00 25.20 0
REACCIONES
x5 ₌ #VALUE! TNy5 ₌ ### TNy6 ₌ ### TN
COMPROBACION
ƩFx= ### TNƩFy= ### TN OK
FUERZAS INTERNAS
S12 ₌ 12 * -1.84E-16 -1
S13 ₌ 16.9731 * -0.707107 -0.707107
S14 ₌ 16.9731 * 0.7071068 -0.707107
S25 ₌ 21.4669 * -0.707107 0.7071068
S26 ₌ 21.4669 * 0.7071068 0.7071068
S35 ₌ 48 * -1.84E-16 -1
S36 ₌ 48 * 0.9701266 -0.242599
S45 ₌ 11.6392 * -0.970127 -0.242599
S46 ₌ 11.6392 * -1.84E-16 -1
30tn
FUERZAS30tn
10m y1= -30y3= -20y4= -30
5mƩ= -80
5m1 tonelada equivale a 9.806652 KN
10m 10m
S CS E L A/L EA/L-1 3.3772E-32 1 1.8377E-16 200 20000 0.06 12
-0.7071068 0.5 0.5 0.5 200 14140 0.08486563 16.9731259-0.7071068 0.5 0.5 -0.5 200 14140 0.08486563 16.97312590.70710678 0.5 0.5 -0.5 200 11180 0.10733453 21.46690520.70710678 0.5 0.5 0.5 200 11180 0.10733453 21.4669052
-1 3.3745E-32 1 1.837E-16 200 5000 0.24 48-0.2425992 0.9411456 0.0588544 -0.235352 200 5000 0.24 48-0.2425992 0.9411456 0.0588544 0.23535197 200 20620 0.05819593 11.6391853
-1 3.3745E-32 1 1.837E-16 200 20620 0.05819593 11.6391853
U2 V2 U5 V510.733 -10.733 -10.733 10.733 U2
k25= -10.733 10.733 10.733 -10.733 V2 k36=-10.733 10.733 10.733 -10.733 U510.733 -10.733 -10.733 10.733 V5
C² S²
1
4
2
6
U2 V2 U6 V610.733 10.733 -10.733 -10.733 U2
k26= 10.733 10.733 -10.733 -10.733 V2 k45=-10.733 -10.733 10.733 10.733 U6-10.733 -10.733 10.733 10.733 V6
U3 V3 U5 V50.000 0.000 0.000 0.000 U3
k35= 0.000 48.000 0.000 -48.000 V3 k46=0.000 0.000 0.000 0.000 U50.000 -48.000 0.000 48.000 V5
V4 U5 V5 U6 V68.49 U1-8.49 V1
-10.73 10.73 -10.73 -10.73 U210.73 -10.73 -10.73 -10.73 V20.00 0.00 -45.17 11.30 U30.00 -48.00 11.30 -2.83 V3
-5.75 -10.95 -2.74 0.00 0.00 U422.87 -2.74 -2.74 0.00 -11.64 V4-2.74 21.69 -7.99 U5-2.74 -7.99 61.47 V50.00 55.91 -0.56 U6
-11.64 -0.56 25.20 V6
V2 U2 U3 V3 U4 V4 U6
-10.73 10.73 0.00 0.00 -10.95 -2.74 0.0010.73 -10.73 0.00 -48.00 -2.74 -2.74 0.00
-10.73 -10.73 11.30 -2.83 0.00 -11.64 -0.560.00 0.00 -8.49 -8.49 -8.49 8.49 0.00
0.00 -12.00 -8.49 -8.49 8.49 -8.49 0.0021.47 0.00 0.00 0.00 0.00 0.00 -10.73
0.00 33.47 0.00 0.00 0.00 0.00 -10.730.00 0.00 53.66 -2.81 0.00 0.00 -45.170.00 0.00 -2.81 59.31 0.00 0.00 11.30 +0.00 0.00 0.00 0.00 19.44 -5.75 0.000.00 0.00 0.00 0.00 -5.75 22.87 0.00
-10.73 -10.73 -45.17 11.30 0.00 0.00 55.91
16.97 0.00 0.00 0.00 -8.49 -8.49 -8.490.00 28.97 0.00 -12.00 -8.49 -8.49 8.490.00 0.00 21.47 0.00 0.00 0.00 0.00
₊ 0.00 -12.00 0.00 33.47 0.00 0.00 0.00
-8.49 -8.49 0.00 0.00 53.66 -2.81 0.00-8.49 -8.49 0.00 0.00 -2.81 59.31 0.00-8.49 8.49 0.00 0.00 0.00 0.00 19.448.49 -8.49 0.00 0.00 0.00 0.00 -5.750.00 0.00 -10.73 -10.73 -45.17 11.30 0.00
-8.49 -8.49 8.49 0.00 u1-8.49 8.49 -8.49 0.00 v10.00 0.00 0.00 -10.73 u20.00 0.00 0.00 -10.73 v2-2.81 0.00 0.00 -45.17 * u359.31 0.00 0.00 11.30 v30.00 19.44 -5.75 0.00 u40.00 -5.75 22.87 0.00 v4
11.30 0.00 0.00 55.91 u6
### ### ### ### 0### ### ### ### -294.20### ### ### ### 0### ### ### ### * 0### ### ### ### 0
0.005 0.001 0.015 ### -196.13-0.007 0.082 0.003 ### 0
0.016 -0.005 0.044 ### -294.20### ### ### ### 0
0.00 0.00 -10.73 10.73 0.00 0.00 -10.95
₊ 0.00 0.00 10.73 -10.73 0.00 -48.00 -2.74
0.00 0.00 -10.73 -10.73 11.30 -2.83 0.00
* 0.00 ₌ 12.00 * 0.00 ₌ 00.00
* ### ₌ 16.97 * ### ₌ -1.2069E+32###
* ### ₌ 16.97 * ### ₌ -6.0343E+31###
* ### ₌ 21.47 * ### ₌ 7.6319E+31###
* ### ₌ 21.47 * ### ₌ 7.6319E+31###
* ### ₌ 48.00 * ### ₌ 2.4134E+32###
* ### ₌ 48.00 * ### ₌ -2.9267E+32###
* ### ₌ 11.64 * ### ₌ 8.5165E+31###
* ### ₌ 11.64 * ### ₌ 1.0754E+160.00
tn -294.20 KNtn -196.13 KNtn -294.20 KN
tn -784.53 KN
1 tonelada equivale a 9.806652 KN
U3 V3 U6 V645.175 -11.297 -45.175 11.297 U3-11.297 2.825 11.297 -2.825 V3-45.175 11.297 45.175 -11.297 U611.297 -2.825 -11.297 2.825 V6
U4 V4 U5 V510.954 2.739 -10.954 -2.739 U42.739 2.739 -2.739 -2.739 V4
-10.954 -2.739 10.954 2.739 U5-2.739 -2.739 2.739 2.739 V5
U4 V4 U6 V60.000 0.000 0.000 0.000 U40.000 11.639 0.000 -11.639 V40.000 0.000 0.000 0.000 U60.000 -11.639 0.000 11.639 V6
000
u1
v1u2v2u3v3u4v4u6
8.49 0.00 u1-8.49 0.00 v10.00 -10.73 u2
0.00 -10.73 v2
0.00 -45.17 * u30.00 11.30 v3-5.75 0.00 u422.87 0.00 v40.00 55.91 u6
-2.74 0.00 5.027831E+30
-2.74 0.00 * 5.027831E+30
-11.64 -0.56 5.027831E+305.027831E+301.005566E+31-1.517923E+15-9.618468E+141.812936E+151.005566E+31