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Análisis Estático de una Estructura Contamos con una edificación en Trujillo de uso comercial, que cuenta con un suelo arenoso arcilloso. Esta edificación es de sección típica 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=0.15cm PT: 380(0.885)=336.3K/m

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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