ZONA DE ANCLAJE

A) ALTURA DE SECCION

h [cm] 90

B) EFICIENCIA DE SECCION Q:

h[cm] 100b1 [cm] 60b2 [cm] 55tf1 [cm] 15tf2 [cm] 20bw [cm] 20D3 [cm] 10D5 [cm] 10Ac [cm2] 3675.0C1 [cm] 50.2C2 [cm] 49.8I [cm4] 4231894.4

84255.8S2[cm3] 85023.5r 33.9K1 23.1K2 22.9Q 0.46COND OK

DATOS:L [m] 20f'c [kg/cm2] 350fy [kg/cm2] 16600fu [kg/cm2] 19000Peh [kg/m3] 2500

PESO PROPIO:Viga:

qo1= 946.3125 [Kg/m]

Efecto de Diafragma:Como: eD [cm]= 30

s1 [cm]= 150 Po2= 780 KghD [cm]= 80

S1[cm3]

h=0.045_

0.45 0.55SI:Q< 0.45 "SP" seccion pesadaQ> 0.55 "SE" seccion esbelta

ESFUERZOS ADMISIBLES EN EL HORMIGON:

EN t=0:fci= 210 [kg/cm2] fcs= 157.5

fti= 14.9666 [kg/cm2] fts= 29.93

ESTADO PI+Mo:

Pe= 208.25 [T]Pe= 208250.00 [kg]

Pi= 245000.00 [kg]

Pj= 277666.6666667 [kg]

ZONA DE CLAVAJE:LIMITES DE LA ZONA DE CLAVAJE:

EN EL CASO DE Pi+Mo:

CASO I IIX[m] Mo1 [T-m] Moi [T-m] Mo [T-m] e [cm] e [cm] eI [cm] eII [cm]

0 0.00 0 0.00 28.074 -96.0129 21.7 145.81 8.99 0.39 9.38 31.902 -92.1844 17.9 142.02 17.03 0.78 17.81 35.345 -88.742 14.4 138.53 24.13 1.17 25.30 38.401 -85.686 11.4 135.54 30.28 1.56 31.84 41.071 -83.0162 8.7 132.85 35.49 1.95 37.44 43.354 -80.7326 6.4 130.56 39.75 2.34 42.09 45.251 -78.8353 4.5 128.67 43.06 2.73 45.79 46.762 -77.3243 3.0 127.18 45.42 3.12 48.54 47.887 -76.1994 1.9 126.09 46.84 3.51 50.35 48.626 -75.4609 1.1 125.2

10 47.32 3.9 51.22 48.978 -75.1086 0.8 124.911 46.84 4.29 51.13 48.944 -75.1425 0.8 124.912 45.42 4.68 50.10 48.524 -75.5627 1.2 125.313 43.06 5.07 48.13 47.718 -76.3691 2.1 126.114 39.75 5.46 45.21 46.525 -77.5618 3.2 127.315 35.49 5.85 41.34 44.946 -79.1408 4.8 128.916 30.28 6.24 36.52 42.981 -81.106 6.8 130.917 24.13 6.63 30.76 40.629 -83.4574 9.1 133.218 17.03 7.02 24.05 37.892 -86.1951 11.9 136.0

EN t=:

)= )/2( ( xq ^2/2

19 8.99 7.41 16.40 34.768 -89.319 15.0 139.120 0.00 7.8 7.80 31.257 -92.8292 18.5 142.6

EN EL ESTADO Pe+Mo+Ma+Mll:

h[cm] 100b1 [cm] 60b2 [cm] 55tf1 [cm] 15tf2 [cm] 20bw [cm] 20D3 [cm] 10D5 [cm] 10 Pe= 245 [T]Ac [cm2] 5423.571 Pe= 245000.00 [kg]C1 [cm] 45.842C2 [cm] 68.236 Pi= 288235.29 [kg] q'o [kg/m 1355.89I [cm4] 6477962.06

141310.633 Pj= 326666.6666667 [kg] qa [kg/m] 918.99S2[cm3] 94934.6688

EN EL CASO DE Pe+Mo+Ma+Mll:

P1 [T]= 14.51 X [m]= 4.3 qcc [T/m 0.95P2 [T]= 14.51 gmi= 0.507P3 [T]= 3.63 %P 33

X[m] y1 y2 y3 M'tren Mtren M'carril Mcarril Mt+Mc0 0 0 0 0 0 0.0 0.0 0.01 0.95 0.735 0.52 26.337 13.35283 9.0 4.6 17.92 1.8 1.37 0.94 49.409 25.05031 17.1 8.7 33.73 2.55 1.905 1.26 69.216 35.09244 24.2 12.3 47.44 3.2 2.34 1.48 85.758 43.4792 30.4 15.4 58.95 3.75 2.675 0.525 71.741 36.37243 35.6 18.1 54.46 4.2 2.91 1.19 88.772 45.00751 39.9 20.2 65.27 4.55 3.045 1.755 102.54 51.98722 43.2 21.9 73.98 4.8 3.08 2.22 113.04 57.31158 45.6 23.1 80.49 4.95 3.015 2.585 120.28 60.98059 47.0 23.8 84.8

10 5 2.85 2.85 124.25 63.0 47.5 24.1 87.111 4.95 3.015 2.585 120.28 60.98059 47.0 23.8 84.812 4.8 3.08 2.22 113.04 57.31158 45.6 23.1 80.413 4.55 3.045 1.755 102.54 51.98722 43.2 21.9 73.914 4.2 2.91 1.19 88.772 45.00751 39.9 20.2 65.215 3.75 2.675 0.525 71.741 36.37243 35.6 18.1 54.416 3.2 2.34 1.48 76.401 38.73531 30.4 15.4 54.117 2.55 1.905 1.26 62.198 31.53451 24.2 12.3 43.818 1.8 1.37 0.94 44.731 22.67836 17.1 8.7 31.3

S1[cm3]

19 0.95 0.735 0.52 23.998 12.16686 9.0 4.6 16.720 0 0 0 0 0 0.0 0.0 0.0

CASO III IVX[m] M'o [T-m] Mo [T-m] Ma [T-m] Mll [kg-m] e [cm] e [cm] eIII [cm] eIV [cm]

0 0.00 0.00 0.00 0.00 116.8975 -29.10 -48.66 97.341 12.88 9.38 8.73 22.33 133.4057 -12.59 -65.17 80.832 24.41 17.81 16.54 41.99 148.0575 2.06 -79.82 66.183 34.58 25.30 23.43 58.96 160.8527 14.85 -92.62 53.384 43.39 31.84 29.41 73.24 171.7913 25.79 -103.6 42.455 50.85 37.44 34.46 66.44 173.3612 27.36 -105.1 40.886 56.95 42.09 38.60 80.09 182.5187 36.52 -114.3 31.727 61.69 45.79 41.81 91.06 189.8196 43.82 -121.6 24.428 65.08 48.54 44.11 99.34 195.264 49.26 -127 18.979 67.12 50.35 45.49 104.95 198.8519 52.85 -130.6 15.38

10 67.79 51.22 45.95 107.86 200.5832 54.58 -132.3 13.6511 67.12 51.13 45.49 104.95 199.1702 53.17 -130.9 15.0712 65.08 50.10 44.11 99.34 195.9008 49.90 -127.7 18.3413 61.69 48.13 41.81 91.06 190.7747 44.77 -122.5 23.4614 56.95 45.21 38.60 80.09 183.7921 37.79 -115.6 30.4415 50.85 41.34 34.46 66.44 174.953 28.95 -106.7 39.2816 43.39 36.52 29.41 66.93 171.1262 25.13 -102.9 43.1117 34.58 30.76 23.43 54.22 161.1498 15.15 -92.91 53.0918 24.41 24.05 16.54 38.83 149.3168 3.32 -81.08 64.9219 12.88 16.40 8.73 20.76 135.6272 -10.37 -67.39 78.6120 0.00 7.80 0.00 0.00 120.0811 -25.92 -51.85 94.16

CASO III:

CASO IV:

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

ZONA DE CLAVAJE

CASO I Polynomial (CASO I)CASO IV Polynomial (CASO IV)

)= )/2( ( xq ^2/2

)( _1 )+(_ ( /_ _( ) )+( _( ) )+( _( ) )) _1 ( /_ + /_

)( _2 )+(_ ( /_ _( ) )+( _( ) )+( _( ) )) _2 ( /_ /_

Graficando el caso I y caso IV, tenemos:

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

ZONA DE CLAVAJE

CASO I Polynomial (CASO I)CASO IV Polynomial (CASO IV)

[kg/cm2]

[kg/cm2]

CASO I:

CASO II:

)( _1 )+_ ( /_ _( ) ) _1 ( /_ + /_ )( _2 )+_ ( /_ _( ) ) _2 ( /_ /_

[kg/m]

[kg/m]

Mim Mll0 0.0

4.40644 22.38.2666 42.0

11.5805 59.014.3481 73.212.0029 66.414.8525 80.117.1558 91.118.9128 99.320.1236 104.920.7881 107.920.1236 104.918.9128 99.317.1558 91.114.8525 80.112.0029 66.412.7827 66.910.4064 54.27.48386 38.8

4.01506 20.80 0.0

Hoja2