Anlisis Esttico de una Estructura
Contamos con una edificacin en Trujillo de uso comercial, que cuenta con un suelo arenoso arcilloso. Esta edificacin es de seccin tpica de 20.00 x 10.00 m de 3 pisos, con una altura de 2.50m de altura cada piso.
METRADO DE CARGAS:VIGA EJE 2: h=0.30cm; b=0.15cmPT: 380(0.885)=336.3K/mPp: 0.3x0.15x2400=108K/mPm: 2.5x0.15x1800=675K/mWD=1119.3K/mWL=500(0.885)=442.5K/m
VIGA EJE 3: h=0.30cm; b=0.15cmViga eje3, A-BPT: 380 (0.885+1.585)=938.6K/mPp: 0.3x0.15x2400=108K/mPm: 2.5x0.15x1800=675K/mWD=1721.6K/mWL=500(0.885+1.585)=1235K/m
Viga eje3, B-DPT: 380 (0.885+0.7)=602.3K/mPp: 108K/mPm: 675K/mWD=1385.3K/mWL=500(0.885+0.7)=792.5K/m
VIGA EJE 4: h=0.30cm; b=0.15cmViga eje4, A-B PT: 380 (1.885)=602.3K/mPp: 108K/mPm: 675K/mWD= 1385.3/mWL= 500(0.885+0.7)=792.5K/m
Viga eje4, B-DPT: 380 (0.7+1.1)=684K/mPp: =108K/m Pm= 675K/mWD= 1467K/mWL= 500(1.8) =900K/m
VIGA EJE 5: h=0.30cm; b=0.15cmViga eje5, A-BPT: 380 (0.7)=266K/mPp: 108K/mPm: 675K/mWD= 1049K/mWL= 500(0.7) =350K/m
Viga eje5, B-DPT: 380 (0.7+1.1)=684K/mPp: =108K/m Pm= 675K/mWD= 1467K/mWL=500(0.7+1.1)= 900K/m
VIGA EJE 6: h=0.30cm; b=0.15cmPT: 380 (0.7)=266K/mPp: 108K/m Pm: 675K/mWD= 1049K/mWL=500(0.7) = 350K/m
VIGA EJE AViga Eje A; 2-4: h=0.35cm; b=0.15cmPT: 380 (0.7) =266K/mPp: 0.35x0.15x2400=126K/m Pm: 675K/mWD= 1067K/mWL=500(0.7)= 350K/m
Viga Eje A; 5-6:PT: 380 (1.66) = 630.8K/mPp: 126K/m Pm: 675K/mWD= 1431.8K/mWL=500(1.66) = 830K/m
VIGA EJE BViga Eje B; 2-3: h=0.35cm; b=0.15cmPT: 380 (0.7x2) = 532K/mPp: 126K/m Pm: 675K/mWD= 1333K/mWL=500(1.4) = 700K/m
VIGA EJE B; 3-4PT: 380 (0.7+1.4) =798K/mPp: 126K/m Pm: 675K/mWD= 1599K/mWL=500(1.4+0.7) = 1050K/m
VIGA EJE B; 4-5 PT: 380 (0.7)= 266K/mPp: 126K/m Pm: 675K7mWD= 1067K/mWL=500(0.7) = 350K/m
VIGA EJE B; 5-6 PT: 380 (1.4x2) = 1064K/mPp: 126K/m Pm: 675K7mWD= 1865K/mWL=500(1.4x2)= 1400K/m
VIGA EJE C h=0.35cm; b=0.15cmViga Eje C; 2-3 PT: 380 (0.7x2) = 532K/mPp: 126K/m Pm= 675K/mWD= 1333K/mWL=500(1.4) = 700K/m
Viga Eje C; 3-4PT: 3.80 (1.4+1.1)= 950K/mPp: 126K/m Pm: 675K/mWD= 1751K/mWL=500(1.4+1.1) = 1250K/m
Viga Eje C; 4-5PT: 380 (0.7x2) = 532K/mPp: 126K/m Pm: 675K/mWD= 1333K/mWL=500(1.4) = 700K/m
Viga Eje C; 5-6PT: 380 (1.4+1.57)= 1128.6K/mPp: 126K/m Pm: 675K/mWD= 1929.6K/mWL=500(1.4+1.57) = 1485K/m
VIGA EJE D h=0.35cm; b=0.15cmViga Eje D; 2-3 PT: 380 (0.7) = 266K/mPp: 126K/m Pm: 675K/mWD= 1067K/mWL=500(0.7) =350K/m
VIGA EJE D; 4-5 PT: 380 (0.7) = 266K/mPp: 126K/m Pm: 675K/mWD= 1067K/mWL=500(0.7) =350K/m
Viga Eje D; 5-6 PT: 380 (1.57) = 596.6K/mPp: 126K/m Pm: 675K/mWD= 1397.6K/mWL=500(1.57) =785K/m
Carga muerta por piso:Viga eje 2W=1119.3 (3.57+3.05+3.38)=1119.3
Viga eje 3W=1721.6 (3.57)+ 1385.3 (3.05 +3.38)=15053.591
Viga eje 4W=1385.3 (3.57) + 1467(3.05+3.38)=14378.331
Viga eje 5W=1049(3.57)+1467(3.05 +3.38)=13177.75
Viga eje 6W=1049(3.57+3.05 +3.38)=10490
Viga eje AW=1049(2.02+3.42)+1431.8 (4)=11531.68
Viga eje BW=1333(2.02)+1599(3.42)+1067(2.45)+1865(4)=18230.59
Viga eje CW=1333(2.02)+1351 (3.42)+1333(2.45)+1929.6 (4)=19665.33
Viga eje DW=1067(2.02)+1067(2.45)+1397(4)=10359.89Carga viva total:PLtotal: 68737.442
P=PD+0.5PLP=124080.16+34368.721P=158448.881KCarga basal H:
Z=0.4
U=1.3
S=1.4
C=2.5
P=475346.643
Rd=8
H=108141.361
H108140
PISOPESOhPxh%FV
3M3=158448.8817.51188366.650.00%F3=54070.00V3=54070.00
2M2=158448.8815792244.4133.33%F2=36046.67V2=90116.67
1M1=158448.8812.5396122.216.67%F1=18023.33V1=18023.33
2376733.2
ALTERNANCIA DE CARGAS:1. VIGA EJE 2:
ALTERNANCIA 1:
ALTERNANCIA 2:
ALTERNANCIA 3:
ALTERNANCIA 4:
ALTERNANCIA 5:
2. VIGA EJE 3:
ALTERNANCIA 1:
ALTERNANCIA 2:
ALTERNANCIA 3:
3. VIGA EJE 4:
ALTERNANCIA 1:
ALTERNANCIA 2:
ALTERNANCIA 3:
4. VIGA EJE 5:
ALTERNANCIA 1:
ALTERNANCIA 2:
ALTERNANCIA 3:
5. VIGA EJE 6:
ALTERNANCIA 1:
ALTERNANCIA 2:
ALTERNANCIA 3:
ALTERNANCIA 4:
ALTERNANCIA 5:
6. VIGA EJE A:
ALTERNANCIA 1:
ALTERNANCIA 2:
ALTERNANCIA 3:
7. VIGA EJE B:
8. VIGA EJE C:
9. VIGA EJE D:
ANLISIS POR MTODO PENDIENTE DEFLEXIN:
1. Clculo de Momentos de empotramiento: WT = WD + WL = 19210 KgMAE=-MEA=0.00
MBF=-MFB=0.00
MCG=-MGC=0.00
MDH=-MHD=0.00
MEI=-MIE=0.00
MFJ=-MJF=0.00
MGK=-MKG=0.00
MHL=-MLH=0.00
MIM=-MMI=0.00
MJN=-MNJ=0.00
MKO=-MOK=0.00
MLP=-MPL=0.00
MEF=-MFE=-1485.84
MFG=-MGF=-1084.52
MGH=-MHG=-1331.89
MIJ=-MJI=-1485.84
MJK=-MKJ=-1084.52
MKL=-MLK=-1331.89
MMN=-MNM=-1485.84
MNO=-MON=-1084.52
MOP=-MPO=-1331.89
2. Consideraciones:
3. Expresiones de momentos:
4. Ecuaciones de compatibilidad:
E-2796.40
F925.23
G1777.35
H-1243.91
I5640.14
J-273.56
k2147.33
L-2667.51
M6637.66
N-931.08
O322.02
P7345.27
12813.87
21955.95
32783.32
5. Momentos resultantes:
MAE=-8990.41kg-mMEA=-11227.53kg-m
MBF=-6013.11kg-mMFB=-5272.93kg-m
MCG=-5331.42kg-mMGC=-3909.54kg-m
MDH=-7748.43kg-mMHD=-8743.56kg-m
MEI=-4656.40kg-mMIE=2092.83kg-m
MFJ=-3432.76kg-mMJF=-4391.79kg-m
MGK=-132.66kg-mMKG=163.33kg-m
MHL=-8818.55kg-mMLH=-9957.42kg-m
MIM=7654.38kg-mMMI=8452.40kg-m
MJN=-7862.53kg-mMNJ=-8388.55kg-m
MKO=-2986.63kg-mMOK=-4446.88kg-m
MLP=-5071.77kg-mMPL=2938.45kg-m
MEF=-24920.98kg-mMFE=19486.72kg-m
MFG=-10781.04kg-mMGF=19968.02kg-m
MGH=-15925.82kg-mMHG=17562.10kg-m
MIJ=-9747.21kg-mMJI=25332.85kg-m
MJK=-13078.53kg-mMKJ=19448.12kg-m
MKL=-16624.82kg-mMLK=15029.20kg-m
MMN=-8452.40kg-mMNM=25025.47kg-m
MNO=-16636.91kg-mMON=14566.50kg-m
MOP=-10119.62kg-mMPO=33638.67kg-m
VA=-23594.59626
VB=-14662.68929
VC=-12617.60348
VD=-19868.63068
ANLISIS POR MTODO DE CROSS:
FACTOR DE DISTRIBUCIN
EI0.37KL0.21NM0.28CG0.00
IE0.37KO0.28MI0.59GH0.21
IJ0.26OK0.39IM0.37HG0.27
JI0.20LK0.27EA0.37HL0.37
JF0.28LH0.37AE0.00HD0.37
JN0.28LP0.37EF0.26DH0.00
FJ0.28PL0.57FE0.20
NJ0.40PO0.43FB0.28
JK0.23OP0.29BF0.00
KJ0.23ON0.32FG0.23
KG0.28NO0.33GF0.23
GK0.28MN0.41GC0.28
Momentos de empotramiento:
MAE=-MEA=0.00
MBF=-MFB=0.00
MCG=-MGC=0.00
MDH=-MHD=0.00
MEI=-MIE=0.00
MFJ=-MJF=0.00
MGK=-MKG=0.00
MHL=-MLH=0.00
MIM=-MMI=0.00
MJN=-MNJ=0.00
MKO=-MOK=0.00
MLP=-MPL=0.00
MEF=-MFE=-20402.46
MFG=-MGF=-14891.75
MGH=-MHG=-18288.56
MIJ=-MJI=-20402.46
MJK=-MKJ=-14891.75
MKL=-MLK=-18288.56
MMN=-MNM=-20402.46
MNO=-MON=-14891.75
MOP=-MPO=-18288.56
MIMNNMNJNO
0.590.410.280.400.33
0.00-20402.4620402.460.00-14891.75
11999.478402.99-1531.39-2186.83-1792.48
3777.84-765.704201.50-782.78543.95
-1771.56-1240.59-1101.20-1572.51-1288.95
-1060.39-550.60-620.29-164.84689.69
947.48663.5026.5237.8831.05
296.1213.26331.75180.94-38.02
-181.96-127.42-131.91-188.36-154.40
-146.86-65.95-63.71-19.4283.28
125.1687.65-0.04-0.06-0.05
13985.32-13985.3221513.68-4696.00-16817.68
0.000.00
ONOKOPPOPL
0.320.390.290.430.57
14891.750.00-18288.5618288.560.00
1087.901327.23981.68-7775.75-10512.81
-896.24477.17-3887.87490.84-3337.76
1379.381682.851244.711210.431636.50
-644.47276.68605.21622.36939.27
-76.04-92.77-68.61-663.96-897.67
15.52-203.61-331.98-34.31-286.10
166.56203.20150.30136.23184.18
-77.2029.2868.1175.15141.88
-6.47-7.89-5.84-92.27-124.75
15840.703692.15-19532.8512257.27-12257.27
0.000.00
IEIMIJJIJFJNJK
0.370.370.261.000.200.280.280.23
00.00-20402.4620402.460.000.00-14891.75
7555.687555.685291.09-1096.33-1565.56-1565.56-1283.25
275.135999.74-548.172645.55-782.78-1093.42391.12
-2120.78-2120.78-1485.14-230.87-329.68-329.68-270.23
-598.03-885.78-115.44-742.5728.27-786.26226.79
592.25592.25414.74253.41361.87361.87296.62
192.68473.74126.71207.3777.2718.94-166.89
-293.72-293.72-205.69-27.19-38.83-38.83-31.83
-64.85-90.98-13.60-102.84-33.37-94.1824.00
62.7562.7543.9441.0658.6458.6448.06
5601.1111292.90-16894.0121350.04-2224.19-3468.49-15657.36
KJKGKOKLLKLHLP
0.230.280.280.210.270.370.37
14891.750.000.00-18288.5618288.560.000.00
782.25954.34954.34705.87-4937.52-6675.52-6675.52
-641.62477.17663.62-2468.76352.94-243.08-5256.41
453.58553.36553.36409.291389.461878.551878.55
-135.1248.36841.42694.73204.65544.75818.25
-333.78-407.21-407.21-301.19-423.23-572.21-572.21
148.31-98.72-46.38-211.61-150.60-177.95-448.84
48.0058.5558.5543.31209.88283.75283.75
-15.9238.19101.60104.9421.6565.5492.09
-52.69-64.29-64.29-47.55-48.40-65.44-65.44
15144.751559.762655.02-19359.5314907.39-4961.61-9945.77
0.000.00
EAEIEFFEFBFJFG
0.370.370.260.200.280.280.23
0.000.00-1485.8420402.460.000.00-14891.75
550.26550.26385.33-1096.33-1565.56-1565.56-1283.25
3777.84-548.17192.67-782.78391.12
-1196.05-1196.05-837.5739.5956.5356.5346.34
-1060.3919.79-418.79-164.8439.64
385.37385.37269.86108.22154.54154.54126.68
296.1254.11134.93180.94-80.92
-129.70-129.70-90.83-46.74-66.75-66.75-54.71
-146.86-23.37-45.41-19.4231.31
63.0463.0444.156.679.529.527.81
-327.092539.62-2212.5319277.27-1411.71-2197.81-15667.74
0.000.00
GFGCGKGHHGHDHL
0.230.280.280.211.000.270.370.37
14891.750.000.00-18288.561331.890.000.00
782.25954.34954.34705.87-359.58-486.16-486.16
-641.62477.17-179.79352.94-3337.76
79.2896.7296.7271.54805.841089.491089.49
23.17276.68402.9235.77939.27
-161.84-197.45-197.45-146.04-263.24-355.90-355.90
63.34-203.61-131.62-73.02-286.10
62.6176.3976.3956.5096.96131.08131.08
-27.3629.2848.4828.25141.88
-11.61-14.16-14.16-10.47-45.93-62.10-62.10
15059.97915.841495.37-17471.181909.87316.42-2226.29
0.000.00
AEBFCGDH
00.000.000.00
00.000.000.00
275.13-782.78477.17-243.08
-598.0328.2748.36544.75
192.6877.27-98.72-177.95
-64.85-33.3738.1965.54
31.524.76-7.08-31.05
-163.55-705.85457.92158.21