ESPIRAL-LOGARITMICA

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METODO DE LA ESPIRAL LOGARITMICA Datos: ɸ= 14.48 c= 1.29 1.62 Considerando: Fɸ= 1 R1= 20 Ángulo de rozamiento interno ɸm= 14.48 COORDENADAS POLARES R X Y 3.92699082 0 0 20 -14.142136 -14.142136 4.01425728 5 0.08726646 20.45585783 -13.148772 -15.670096 4.10152374 10 0.17453293 20.92210598 -12.000427 -17.138386 4.1887902 15 0.26179939 21.39898128 -10.699491 -18.532061 4.27605667 20 0.34906585 21.88672594 -9.2497301 -19.83611 4.36332313 25 0.43633231 22.38558771 -7.6563219 -21.035572 4.45058959 30 0.52359878 22.89581998 -5.9258743 -22.115664 4.53785606 35 0.61086524 23.41768192 -4.0664378 -23.061915 4.62512252 40 0.6981317 23.95143861 -2.0875054 -23.860296 4.71238898 45 0.78539816 24.49736115 -4.5E-15 -24.497361 4.79965544 50 0.87266463 25.05572685 2.18375048 -24.960382 4.88692191 55 0.95993109 25.62681932 4.45005047 -25.23749 4.97418837 60 1.04719755 26.21092863 6.78388752 -25.317813 5.06145483 65 1.13446401 26.80835149 9.16899622 -25.19161 5.14872129 70 1.22173048 27.41939134 11.5879355 -24.850408 5.23598776 75 1.30899694 28.04435855 14.0221793 -24.287127 5.32325422 80 1.3962634 28.68357058 16.4522202 -23.496205 5.41052068 85 1.48352986 29.33735209 18.8576864 -22.473716 5.49778714 90 1.57079633 30.00603518 21.2174709 -21.217471 5.58505361 95 1.65806279 30.68995948 23.5098729 -19.727126 5.67232007 100 1.74532925 31.3894724 25.7127505 -18.004262 COORDENADAS RECTANGULARES _ =tan^(−1) (tan / _ ) = ( ) = 1 ^( tan _ )

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Transcript of ESPIRAL-LOGARITMICA

Hoja4METODO DE LA ESPIRAL LOGARITMICADatos:=14.48c=1.291.62Considerando:F=1R1=20

ngulo de rozamiento interno

m=14.48

COORDENADAS POLARESCOORDENADAS RECTANGULARESRXYx474692.9953.9269908170020-14.1421356237-14.1421356237474678.85286437638669868.591864375y8669882.7344.014257279650.087266462620.455857832-13.1487719599-15.6700962214474679.84622804018669867.0639037774.1015237422100.174532925220.9221059821-12.0004269902-17.138385886474680.99457300988669865.5956141134.1887902048150.261799387821.3989812757-10.6994906379-18.5320613999474682.29550936218669864.20193864.2760566674200.349065850421.8867259362-9.2497300704-19.8361101488474683.74526992968669862.897889854.36332313250.43633231322.3855877079-7.6563219163-21.0355715811474685.33867808378669861.6984284184.4505895926300.523598775622.8958199819-5.9258742646-22.1156638346474687.06912573548669860.6183361654.5378560552350.610865238223.4176819248-4.0664377914-23.0619147171474688.92856220858669859.6720852814.6251225178400.698131700823.9514386104-2.087505422-23.8602961554474690.9074945788669858.8737038434.7123889804450.785398163424.4973611543-0-24.4973611543474692.9958669858.2366388464.799655443500.87266462625.05572685152.1837504838-24.9603822463474695.17875048388669857.7736177544.8869219056550.959931088625.62681931754.4500504739-25.237490349474697.44505047398669857.496509654.9741883682601.047197551226.21092863226.7838875198-25.3178128969474699.77888751988669857.4161871025.0614548308651.134464013826.80835148729.168996218-25.191610068474702.1639962188669857.5423899315.1487212934701.221730476427.419391336611.5879355047-24.8504078842474704.58293550478669857.8835921165.235987756751.30899693928.04435855114.0221792755-24.287126938474707.01717927558669858.4468730615.3232542186801.396263401628.683570575416.4522201925-23.4962054744474709.44722019258669859.2377945245.4105206812851.483529864229.337352090218.8576864246-22.4737155445474711.85268642468669860.2602844555.4977871438901.570796326830.006035176221.2174709496-21.2174709496474714.21247094968669861.516529055.5850536064951.658062789430.689959483223.5098729217-19.7271256976474716.50487292178669863.0068743025.6723200691001.74532925231.389472402925.712750488-18.0042617198474718.7077504888669864.729738285.75958653161051.832595714632.104929244727.8036843126-16.0524646223474720.79868431268669866.6815353765.84685299421101.919862177232.836693416729.7601509441-13.8773862931474722.75515094418669868.8566137075.93411945681152.007128639833.585136610231.5597050407-11.486793237474724.55470504068669871.2472067626.02138591941202.094395102434.350638988233.1801693483-8.8905995816474726.17516934828669873.8434004176.1086523821252.18166156535.13358937934.5998312116-6.1008837706474727.59483121168669876.6331162296.19591884461302.268928027635.934385473235.7976442876-3.1318880561474728.79264428768669879.6021119436.28318530721352.356194490236.753434025936.7534340259-0474729.74843402598669882.7346.37045176981402.443460952837.591151063537.44810538463.2762846917474730.44310538468669886.010284696.45771823241452.530727415438.447962094837.86385115846.6764185528474730.85885115848669889.4104185516.5449846951502.61799387839.32430232737.984359218410.1778783776474730.97935921848669892.9118783776.63225115761552.705260340640.220616887137.795016892213.7562611524474730.79001689228669896.4902611526.71951762021602.792526803241.137361047837.283110655717.3854000186474730.27811065578669900.1194000176.80678408281652.879793265842.075000458836.438019261521.0375002294474729.43301926158669903.7715002286.89405054541702.967059728443.034011383235.251398398524.6832948911474728.24639839858669907.417294896.9813170081753.05432619144.014880939733.717354958428.2922201099474726.71235495848669911.026220117.06858347061803.141592653645.018107349631.832608983131.8326089831474724.82760898318669914.5666089827.15584993321853.228859116246.044200190429.596641380335.2719036937474722.59164138038669918.0059036937.24311639581903.316125578847.093680654127.011825524238.5768847809474720.00682552428669921.310884787.33038285841953.403392041448.167081812224.083540906141.7139164755474717.07854090618669924.4479164747.4176493212003.49065850449.264948886520.820267063244.6492068038474713.81526706328669927.3832068037.50491578362053.577924966650.387839526117.233656096647.34908098474710.22865609668669930.0830809797.59218224622103.665191429251.536324090213.338582189149.7802664308474706.33358218918669932.514266437.67944870882153.752457891852.71098593869.153166651351.9101876212474702.14816665138669934.644187627.76671517142203.839724354453.91242172714.69877715953.7072686858474697.6937771598669936.4412686847.8539816342253.92699081755.1412417113055.1412417113474692.9958669937.875241717.94124809662304.014257279656.3980700562-4.915415685356.1834583726474688.07958431478669938.9174583728.02851455922354.101523742257.6835451534-10.016642497256.8072024882474682.97835750278669939.5412024878.11578102182404.188790204858.998319945-15.269888830856.9880009426474677.72511116928669939.7220009428.20304748442454.276056667460.343062256-20.638542801556.7039303176474672.35645719858669939.4379303188.2903139472504.3633231361.7184551327-26.083346225555.9359164906474666.91165377458669938.6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respecto al polo Reemplazando (3) en (2)Reemplazando (4) en (1)2030.63Reemplazando en M=1344.2146962846ton/mFactor de Seguridadd=distancia entre el centroide y el punto Od=3.08A=198.51321.5862Fc=1.3571270874