4
b [m] 0.35 Pp [Ton/m] 0.86 h [m] 1.02 W [Ton/m] 1.00 L [m] 20.4 0.357 0.0310 2.4 Yi [m] 0.51 Ys [m] 0.51 hi [m] 0.5 X [m] Y [m] α Mpp [tom.m] hf [m] 0.078 0 0.078 0.844 0.00 0.2 0.094 0.827 1.73 0.4 0.110 0.811 3.43 0.6 0.126 0.794 5.09 0.8 0.142 0.778 6.72 1 0.157 0.761 8.31 1.2 0.171 0.745 9.87 1.4 0.186 0.728 11.40 1.6 0.200 0.712 12.89 1.8 0.214 0.695 14.34 2 0.227 0.679 15.77 2.2 0.240 0.662 17.15 2.4 0.253 0.645 18.51 2.6 0.266 0.629 19.83 2.8 0.278 0.612 21.11 3 0.290 0.596 22.36 3.2 0.301 0.579 23.58 3.4 0.312 0.563 24.76 3.6 0.323 0.546 25.91 3.8 0.334 0.530 27.02 4 0.344 0.513 28.10 4.2 0.354 0.496 29.15 4.4 0.364 0.480 30.16 4.6 0.373 0.463 31.14 4.8 0.382 0.447 32.08 5 0.390 0.430 32.99 5.2 0.399 0.414 33.86 5.4 0.407 0.397 34.70 5.6 0.414 0.381 35.51 5.8 0.421 0.364 36.28 6 0.428 0.348 37.01 6.2 0.435 0.331 37.72 6.4 0.441 0.314 38.38 6.6 0.447 0.298 39.02 A [m 2 ] I [m 4 ] ϒconcreto [Ton/m 3 ]

Preesforzado.xlsx

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Page 1: Preesforzado.xlsx

b [m] 0.35 Pp [Ton/m] 0.86h [m] 1.02 W [Ton/m] 1.00L [m] 20.4

0.357

0.0310

2.4Yi [m] 0.51Ys [m] 0.51 Pp

hi [m] 0.5 X [m] Y [m] α Mpp [tom.m]hf [m] 0.078 0 0.078 0.844 0.00 0.00

0.2 0.094 0.827 1.73 -28.520.4 0.110 0.811 3.43 -56.470.6 0.126 0.794 5.09 -83.860.8 0.142 0.778 6.72 -110.68

1 0.157 0.761 8.31 -136.941.2 0.171 0.745 9.87 -162.641.4 0.186 0.728 11.40 -187.761.6 0.200 0.712 12.89 -212.331.8 0.214 0.695 14.34 -236.33

2 0.227 0.679 15.77 -259.762.2 0.240 0.662 17.15 -282.642.4 0.253 0.645 18.51 -304.942.6 0.266 0.629 19.83 -326.682.8 0.278 0.612 21.11 -347.86

3 0.290 0.596 22.36 -368.473.2 0.301 0.579 23.58 -388.523.4 0.312 0.563 24.76 -408.003.6 0.323 0.546 25.91 -426.923.8 0.334 0.530 27.02 -445.27

4 0.344 0.513 28.10 -463.064.2 0.354 0.496 29.15 -480.284.4 0.364 0.480 30.16 -496.944.6 0.373 0.463 31.14 -513.044.8 0.382 0.447 32.08 -528.56

5 0.390 0.430 32.99 -543.535.2 0.399 0.414 33.86 -557.935.4 0.407 0.397 34.70 -571.765.6 0.414 0.381 35.51 -585.045.8 0.421 0.364 36.28 -597.74

6 0.428 0.348 37.01 -609.886.2 0.435 0.331 37.72 -621.466.4 0.441 0.314 38.38 -632.476.6 0.447 0.298 39.02 -642.92

A [m2]

I [m4]

ϒconcreto [Ton/m3]

ɣspp [Ton/m2]

Page 2: Preesforzado.xlsx

6.8 0.453 0.281 39.62 -652.807 0.458 0.265 40.18 -662.12

7.2 0.463 0.248 40.72 -670.877.4 0.468 0.232 41.21 -679.067.6 0.473 0.215 41.67 -686.687.8 0.477 0.199 42.10 -693.74

8 0.480 0.182 42.50 -700.248.2 0.484 0.165 42.86 -706.168.4 0.487 0.149 43.18 -711.538.6 0.490 0.132 43.47 -716.338.8 0.492 0.116 43.73 -720.56

9 0.494 0.099 43.95 -724.249.2 0.496 0.083 44.14 -727.349.4 0.497 0.066 44.30 -729.889.6 0.499 0.050 44.42 -731.869.8 0.499 0.033 44.50 -733.2710 0.500 0.017 44.55 -734.12

10.2 0.500 0.000 44.57 -734.40

Page 3: Preesforzado.xlsx

Pp W

Mw [tom.m]0.00 0.00 0.00 0.00

28.52 2.02 -33.28 33.2856.47 4.00 -65.91 65.9183.86 5.94 -97.87 97.87

110.68 7.84 -129.18 129.18136.94 9.70 -159.83 159.83162.64 11.52 -189.82 189.82187.76 13.30 -219.15 219.15212.33 15.04 -247.82 247.82236.33 16.74 -275.83 275.83259.76 18.40 -303.18 303.18282.64 20.02 -329.87 329.87304.94 21.60 -355.91 355.91326.68 23.14 -381.28 381.28347.86 24.64 -406.00 406.00368.47 26.10 -430.05 430.05388.52 27.52 -453.45 453.45408.00 28.90 -476.19 476.19426.92 30.24 -498.27 498.27445.27 31.54 -519.69 519.69463.06 32.80 -540.45 540.45480.28 34.02 -560.55 560.55496.94 35.20 -580.00 580.00513.04 36.34 -598.78 598.78528.56 37.44 -616.91 616.91543.53 38.50 -634.37 634.37557.93 39.52 -651.18 651.18571.76 40.50 -667.33 667.33585.04 41.44 -682.81 682.81597.74 42.34 -697.64 697.64609.88 43.20 -711.81 711.81621.46 44.02 -725.33 725.33632.47 44.80 -738.18 738.18642.92 45.54 -750.37 750.37

ɣipp [Ton/m2] ɣsw [Ton/m2] ɣiw [Ton/m2]

Page 4: Preesforzado.xlsx

652.80 46.24 -761.90 761.90662.12 46.90 -772.78 772.78670.87 47.52 -783.00 783.00679.06 48.10 -792.55 792.55686.68 48.64 -801.45 801.45693.74 49.14 -809.69 809.69700.24 49.60 -817.27 817.27706.16 50.02 -824.19 824.19711.53 50.40 -830.45 830.45716.33 50.74 -836.05 836.05720.56 51.04 -841.00 841.00724.24 51.30 -845.28 845.28727.34 51.52 -848.90 848.90729.88 51.70 -851.87 851.87731.86 51.84 -854.18 854.18733.27 51.94 -855.82 855.82734.12 52.00 -856.81 856.81734.40 52.02 -857.14 857.14