Spreadsheet: 148850d1333576827-area-between-weird-curves-made-out-of-lines-math-problem-copy-of-area-between-lines-1
Sheet: MrShortylog

 | CALCULO DE DOSIFICACION OPTIMA PARA HORMIGONES
 |  |  |  |  |  | Para curva Bolomey
 |  | Tamanho maximo del arido, D ([NAME]): |  | 50 |  | Valor "a": | 11
 |  | [NAME] (ASTM: | 2" | 1 1/2" | 1" | 3/4" | 1/2" | 3/8" | No. 4 | No. 16 | No. 50 | No. 100 | No. 200
 |  | Tamiz, d (mm): | 50 | 37.5 | 25 | 19 | 12.5 | 9.5 | 4.75 | 1.18 | 0.3 | 0.15 | 0.075
 |  | Grava Retenido Parcial (%): | 4.8 | 8.5 | 13.4 | 10.8 | 15.1 | 10.4 | 22.4 | - | - | - | 13.9
 |  | Arena Retenido Parcial (%): | - | - | - | - | - | 0 | 1.7 | 13.8 | 50.6 | 23.9 | 6.1
 | %Ret Acum. | Grava: | 4.8 | 13.3 | 26.7 | 37.5 | 52.6 | 63 | 85.4 | 0 | 0 | 0 | 99.30000000000001
 |  | Arena | 0 | 0 | 0 | 0 | 0 | 0 | 1.7 | 15.5 | 66.1 | 90 | 96.1
 | %Pasa Acum. | Grava: | 95.2 | 86.7 | 73.3 | 62.5 | 47.4 | 37 | 14.59999999999999 |  |  |  | 0.6999999999999886
 |  | Arena | 100 | 100 | 100 | 100 | 100 | 100 | 98.3 | 84.5 | 33.90000000000001 | 10 | 3.900000000000006 |  |  |  |  |  |  |  |  |  | %grava | total difference
 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 0.5 | -24.7
 |  | Comb. [NAME] (%): | 96.75548724650658 | 91.00999591219531 | 81.95239780869284 | 74.65224411333264 | 64.44554774296793 | 57.41577011039885 | 41.72380886095846 | 27.38305673537623 | 10.98562867845271 | 3.240598430222039 | 1.736991497671047 |  |  |  |  | blue | red | difference |  |  | 0.6 | -10.7
 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | total area | 106.3207396001501 | 106.3207406001501 | -9.999999890375477e-07 |  |  | 0.67 | -0.8
 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 0.68 | 0.6
 | Porcentajes para dosificar: |  |  |  |  |  |  |  |  |  |  | blue curve |  |  | red curve |  |  |  |  |  |  |  | 0.69 | 2
 | %GRAVA: | 0.6759401569777961 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | area under |  |  |  |  | 0.7 | 3.4
 | %ARENA: | 0.3240598430222039 |  |  |  |  |  |  |  |  | d [NAME] (mm) | [NAME] | Fuller |  |  |  | log (d Tamiz) | blue | red | difference |  |  | 0.8 | 17.4
 |  |  |  |  |  |  |  |  |  |  |  | y | y |  | Comb. [NAME] (%):
 |  |  |  |  |  |  |  |  |  |  | 50 | 100 | 100 |  | 96.75548724650658 |  | 1.698970004336019 | 11.74900521372931 | 11.72959112224761 | 0.01941409148169448
 |  |  |  |  |  |  |  |  |  |  | 37.5 | 88.07626093681503 | 86.60254037844386 |  | 91.00999591219531 |  | 1.574031267727719 | 14.26416365612122 | 15.22858283979781 | -0.9644191836765987
 |  |  |  |  |  |  |  |  |  |  | 25 | 73.93250352560273 | 70.71067811865476 |  | 81.95239780869284 |  | 1.397940008672038 | 8.330878902057794 | 9.332572351419618 | -1.001693449361824
 |  |  |  |  |  |  |  |  |  |  | 19 | 65.86328462642389 | 61.64414002968977 |  | 74.65224411333264 |  | 1.278753600952829 | 11.03456756061578 | 12.64702077317242 | -1.612453212556641
 |  |  |  |  |  |  |  |  |  |  | 12.5 | 55.5 | 50 |  | 64.44554774296793 |  | 1.096910013008056 | 6.274818761441609 | 7.262106357435733 | -0.9872875959941236
 |  |  |  |  |  |  |  |  |  |  | 9.5 | 49.794200597512 | 43.58898943540673 |  | 57.41577011039885 |  | 0.9777236052888477 | 13.27931255443315 | 14.9219935139383 | -1.642680959505149
 |  |  |  |  |  |  |  |  |  |  | 4.75 | 38.43164231321195 | 30.82207001484488 |  | 41.72380886095846 |  | 0.6766936096248666 | 19.08304039634716 | 20.89831705627254 | -1.815276659925381
 |  |  |  |  |  |  |  |  |  |  | 1.18 | 24.67243943120612 | 15.36229149573722 |  | 27.38305673537623 |  | 0.07188200730612536 | 12.65839711722278 | 11.41009410624108 | 1.248303010981703
 |  |  |  |  |  |  |  |  |  |  | 0.3 | 17.8939103562492 | 7.745966692414834 |  | 10.98562867845271 |  | -0.5228787452803376 | 5.082686944671838 | 2.141260542419586 | 2.941426402252252
 |  |  |  |  |  |  |  |  |  |  | 0.15 | 15.87473076179598 | 5.477225575051661 |  | 3.240598430222039 |  | -0.8239087409443188 | 4.563868493509445 | 0.749201937205366 | 3.814666556304079
 |  |  |  |  |  |  |  |  |  |  | 0.075 | 14.4469551781246 | 3.872983346207417 |  | 1.736991497671047 |  | -1.1249387366083
 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | note: height of each trapeazoid on a logarithmic scale