POLEFDN.xls
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"POLEFDN" --- POLE FOUNDATION ANALYSIS PROGRAM Program Description: "POLEFDN" is a spreadsheet program written in MS-Excel for the purpose of analysis of a pole assuming the use of a rigid round pier which is assumed free (unrestrained) at the top and s and vertical loads. Specifically, the required embedment depth, the maximum moment and shea concrete stresses, and the soil bearing pressures are calculated. This program is a workbook consisting of six (6) worksheets, described as follows: Worksheet Name Description Doc This documentation sheet Pole Fdn (Czerniak) le foundation analysis for free-top round piers using PCA/Czern Pole Fdn (UBC-IBC) Pole foundation analysis for free-top round piers using UBC/IB Pole Fdn (OAAA) Pole foundation analysis for free-top round piers using OAAA Granular Soil (Teng) Pole foundation analysis in granular soil using USS/Teng me Cohesive Soil (Teng) Pole foundation analysis in cohesive soil using USS/Teng me Program Assumptions and Limitations: 1. Since there is not a universally accepted method for pole foundation analysis, this prog different methods of determining embedment length for pole foundations. The "Pole Fdn is the primary method emphasized in this program, since it provides the most detail in However, it does yield the most conservative embedment depth results of all the method 2. The references used in the different analysis methods in this program are as follows: a. "Design of Concrete Foundation Piers" - by Frank Randall Portland Cement Association (PCA) - Skokie, IL, May 1968 b. "Resistance to Overturning of Single, Short Piles" - by Eli Czer ASCE Journal of the Structural Division, Vol. 83, No. ST2, Paper c. 1997 Uniform Building Code (UBC), Section 1806.8, page 2-45 d. Outdoor Advertising Association of America (OAAA) - New York, NY e. "Tapered Steel Poles - Caisson Foundation Design" Prepared for United States Steel Corporation by Teng and Associa Note: references "a" and "b" refer to the "Pole Fdn(Czerniak)" worksheet, while refer the "Granular Soil(Teng)" and "Cohesive Soil(Teng)" worksheets. 3. The "Pole Fdn(Czerniak)" worksheet assumes that the foundation is short, rigid, meeting foundation embedment length divided by the foundation diameter <= 10. 4. This program will handle both horizontally as well as vertically applied loads. The ver associated eccentricity which results in an additional overturning moment which is alw directly to the overturning moment produced by the horizontal load. 5. This program assumes that the top of the pier is at or above the top of the ground surfa 6. This program assumes that the actual resisting surface is at or below the ground surface for any weak soil or any soil which may be removed at the top. 7. The "Pole Fdn(Czerniak)" worksheet assumes that the rigid pier rotates about a point loc below the resisting the surface. The maximum shear in pier is assumed to be at that maximum moment in the pier is assume to be at a distance = 'a/2'. 8. The "Pole Fdn(Czerniak)" worksheet calculates the "plain" (unreinforced) concrete stress tension, and shear in the pier. The respective allowable stresses are also determined (f'c) of the concrete. This is done to determine if steel reinforcing is actually req
Transcript of POLEFDN.xls
"POLEFDN" Program
Doc"POLEFDN" --- POLE FOUNDATION ANALYSIS PROGRAMProgram Description:"POLEFDN" is a spreadsheet program written in MS-Excel for the purpose of analysis of a pole foundationassuming the use of a rigid round pier which is assumed free (unrestrained) at the top and subjected to lateraland vertical loads. Specifically, the required embedment depth, the maximum moment and shear, the plainconcrete stresses, and the soil bearing pressures are calculated.This program is a workbook consisting of six (6) worksheets, described as follows:Worksheet NameDescriptionDocThis documentation sheetPole Fdn (Czerniak)Pole foundation analysis for free-top round piers using PCA/Czerniak methodPole Fdn (UBC-IBC)Pole foundation analysis for free-top round piers using UBC/IBC methodPole Fdn (OAAA)Pole foundation analysis for free-top round piers using OAAA methodGranular Soil (Teng)Pole foundation analysis in granular soil using USS/Teng methodCohesive Soil (Teng)Pole foundation analysis in cohesive soil using USS/Teng methodProgram Assumptions and Limitations:1. Since there is not a universally accepted method for pole foundation analysis, this program offers up five (5)different methods of determining embedment length for pole foundations. The "Pole Fdn(Czerniak)" worksheetis the primary method emphasized in this program, since it provides the most detail in overall analysis.However, it does yield the most conservative embedment depth results of all the methods presented.2. The references used in the different analysis methods in this program are as follows:a."Design of Concrete Foundation Piers" - by Frank RandallPortland Cement Association (PCA) - Skokie, IL, May 1968b."Resistance to Overturning of Single, Short Piles" - by Eli CzerniakASCE Journal of the Structural Division, Vol. 83, No. ST2, Paper 1188, March 1957c.1997 Uniform Building Code (UBC), Section 1806.8, page 2-45d.Outdoor Advertising Association of America (OAAA) - New York, NYe."Tapered Steel Poles - Caisson Foundation Design"Prepared for United States Steel Corporation by Teng and Associates, July 1969Note: references "a" and "b" refer to the "Pole Fdn(Czerniak)" worksheet, while reference "e" refers to boththe "Granular Soil(Teng)" and "Cohesive Soil(Teng)" worksheets.3. The "Pole Fdn(Czerniak)" worksheet assumes that the foundation is short, rigid, meeting the criteria that thefoundation embedment length divided by the foundation diameter =Pt, O.K.395.1667-1172.227405.2500-1169.075Pier End Bearing Pressure:415.3333-1165.704Af =1.77ft.^2Af = p*D^2/4 (pier base area)425.4167-1162.111Wf =3.10kipsWf = (Af*Lt)*0.150 (pier weight)435.5000-1158.292SPv =19.60kipsSPv = Pv+Wf (total vertical load)445.5833-1154.244P(bot) =11.089ksfP(bot) = SPv/AfPa=P(bot), O.K.385.0833-26.048395.1667-25.630Reference:1997 Uniform Building Code (UBC), Section 1806.8, page 2-45405.2500-25.2212003 International Building Code (IBC), Section 1805.7.2.1, pages 370-371415.3333-24.820Comments:425.4167-24.429435.5000-24.046445.5833-23.671455.6667-23.303465.7500-22.943475.8333-22.590485.9167-22.243496.0000-21.903506.0833-21.569516.1667-21.241526.2500-20.919536.3333-20.602546.4167-20.291556.5000-19.985566.5833-19.683576.6667-19.387586.7500-19.095596.8333-18.808606.9167-18.525617.0000-18.246627.0833-17.971637.1667-17.700647.2500-17.433657.3333-17.169667.4167-16.909677.5000-16.652687.5833-16.399697.6667-16.149707.7500-15.902717.8333-15.658727.9167-15.417738.0000-15.179748.0833-14.943758.1667-14.711768.2500-14.481778.3333-14.253788.4167-14.028798.5000-13.805808.5833-13.585818.6667-13.367828.7500-13.151838.8333-12.938848.9167-12.726859.0000-12.517869.0833-12.309879.1667-12.104889.2500-11.900899.3333-11.698909.4167-11.498919.5000-11.300929.5833-11.103939.6667-10.909949.7500-10.715959.8333-10.524969.9167-10.3349710.0000-10.1459810.0833-9.9589910.1667-9.77310010.2500-9.58810110.3333-9.40610210.4167-9.22410310.5000-9.04410410.5833-8.86610510.6667-8.68810610.7500-8.51210710.8333-8.33710810.9167-8.16310911.0000-7.99011011.0833-7.81911111.1667-7.64911211.2500-7.47911311.3333-7.31111411.4167-7.14411511.5000-6.97811611.5833-6.81311711.6667-6.64911811.7500-6.48611911.8333-6.32412011.9167-6.16212112.0000-6.00212212.0833-5.84312312.1667-5.68412412.2500-5.52712512.3333-5.37012612.4167-5.21412712.5000-5.05912812.5833-4.90412912.6667-4.75113012.7500-4.59813112.8333-4.44613212.9167-4.29513313.0000-4.14413413.0833-3.99513513.1667-3.84613613.2500-3.69713713.3333-3.55013813.4167-3.40313913.5000-3.25614013.5833-3.11114113.6667-2.96614213.7500-2.82114313.8333-2.67714413.9167-2.53414514.0000-2.39214614.0833-2.25014714.1667-2.10814814.2500-1.96814914.3333-1.82715014.4167-1.68815114.5000-1.54815214.5833-1.41015314.6667-1.27215414.7500-1.13415514.8333-0.99715614.9167-0.86115715.0000-0.72415815.0833-0.58915915.1667-0.45416015.2500-0.31916115.3333-0.18516215.4167-0.05116315.50000.08216415.58330.21516515.66670.34716615.75000.47916715.83330.61016815.91670.74116916.00000.87217016.08331.00217116.16671.13217216.25001.26117316.33331.39017416.41671.51917516.50001.64717616.58331.77517716.66671.90317816.75002.03017916.83332.15618016.91672.28318117.00002.40918217.08332.53518317.16672.66018417.25002.78518517.33332.91018617.41673.03418717.50003.15818817.58333.28218917.66673.40519017.75003.52819117.83333.65119217.91673.77319318.00003.896019418.08334.01719518.16674.13919618.25004.26019718.33334.38119818.41674.50219918.50004.62220018.58334.74220118.66674.86220218.75004.98220318.83335.10120418.91675.22020519.00005.33920619.08335.45820719.16675.57620819.25005.69420919.33335.81221019.41675.92921119.50006.04721219.58336.16421319.66676.28021419.75006.39721519.83336.51321619.91676.63021720.00006.74521820.08336.86121920.16676.97722020.25007.09222120.33337.20722220.41677.32222320.50007.43622420.58337.55122520.66677.66522620.75007.77922720.83337.89222820.91678.00622921.00008.11923021.08338.23323121.16678.34623221.25008.45823321.33338.57123421.41678.68323521.50008.79523621.58338.90823721.66679.01923821.75009.13123921.83339.24324021.91679.35424122.00009.46524222.08339.57624322.16679.68724422.25009.79724522.33339.90824622.416710.01824722.500010.12824822.583310.23824922.666710.34825022.750010.45825122.833310.56725222.916710.67625323.000010.78525423.083310.89425523.166711.00325623.250011.11225723.333311.22125823.416711.32925923.500011.43726023.583311.54526123.666711.65326223.750011.76126323.833311.86926423.916711.97626524.000012.08426624.083312.19126724.166712.29826824.250012.40526924.333312.51227024.416712.61927124.500012.72527224.583312.83227324.666712.93827424.750013.04427524.833313.15127624.916713.25727725.000013.36227825.083313.46827925.166713.57428025.250013.67928125.333313.78428225.416713.89028325.500013.99528425.583314.10028525.666714.20528625.750014.30928725.833314.41428825.916714.51928926.000014.62329026.083314.72729126.166714.83229226.250014.93629326.333315.04029426.416715.14429526.500015.24729626.583315.35129726.666715.45529826.750015.55829926.833315.66230026.916715.76530127.000015.86830227.083315.97130327.166716.07430427.250016.17730527.333316.28030627.416716.38230727.500016.48530827.583316.58730927.666716.69031027.750016.79231127.833316.89431227.916716.99631328.000017.09831428.083317.20031528.166717.30231628.250017.40431728.333317.50531828.416717.60731928.500017.70932028.583317.81032128.666717.91132228.750018.01232328.833318.11432428.916718.21532529.000018.31632629.083318.41632729.166718.51732829.250018.61832929.333318.71933029.416718.81933129.500018.92033229.583319.02033329.666719.12033429.750019.22133529.833319.32133629.916719.42133730.000019.52133830.083319.62133930.166719.72134030.250019.82134130.333319.92034230.416720.02034330.500020.12034430.583320.21934530.666720.31834630.750020.41834730.833320.51734830.916720.61634931.000020.71535031.083320.81535131.166720.91435231.250021.01235331.333321.11135431.416721.21035531.500021.30935631.583321.40835731.666721.50635831.750021.60535931.833321.70336031.916721.80236132.000021.90036232.083321.99836332.166722.09636432.250022.19536532.333322.29336632.416722.39136732.500022.48936832.583322.58736932.666722.68437032.750022.78237132.833322.88037232.916722.97837333.000023.07537433.083323.17337533.166723.27037633.250023.36837733.333323.46537833.416723.56237933.500023.66038033.583323.75738133.666723.85438233.750023.95138333.833324.04838433.916724.14538534.000024.24238634.083324.33938734.166724.43638834.250024.53338934.333324.62939034.416724.72639134.500024.82339234.583324.91939334.666725.01639434.750025.11239534.833325.20939634.916725.30539735.000025.40139835.083325.49839935.166725.59440035.250025.69040135.333325.78640235.416725.88240335.500025.97840435.583326.07440535.666726.17040635.750026.26640735.833326.36240835.916726.45740936.000026.55341036.083326.64941136.166726.74541236.250026.84041336.333326.93641436.416727.03141536.500027.12741636.583327.22241736.666727.31741836.750027.41341936.833327.50842036.916727.60342137.000027.69842237.083327.79442337.166727.88942437.250027.98442537.333328.07942637.416728.17442737.500028.26942837.583328.36442937.666728.45843037.750028.55343137.833328.64843237.916728.74343338.000028.83743438.083328.93243538.166729.02743638.250029.12143738.333329.21643838.416729.31043938.500029.40544038.583329.49944138.666729.59344238.750029.68844338.833329.78244438.916729.87644539.000029.97144639.083330.06544739.166730.15944839.250030.25344939.333330.34745039.416730.44145139.500030.53545239.583330.62945339.666730.72345439.750030.81745539.833330.91145639.916731.00445740.000031.098Using UBC Method:Iteration #Trial 'L'Eqn. Value16215.417-5.143E-02(largest value 0)Interpolating between L(162) and L(163) to find where value = 0:L =15.449ft.
&R"POLEFDN.xls" ProgramVersion 2.0&C&P of &N&R&D &T"POLEFDN.xls"written by: Alex Tomanovich, P.E.
Pole Fdn (OAAA)POLE FOUNDATION ANALYSISCALCULATIONS:Version 2.0For Free-Top (Unconstrained) Rigid Round Piers Using OAAA MethodSubjected Vertical Load, Horizontal Load, and/or MomentPier Embedment and Total Length:Determine embedment length, 'L':Job Name:Subject:Pe =10.133kipsPe = Ph+(M/(H+h1+h2)) ("equivalent total" horizontal load)Iteration #Trial 'L'Eqn. ValueJob Number:Originator:Checker:Kp =3.000Kp = TAN^2(45+f/2) (passive pressure coefficient)12.0000-58.703Pp =5.604ksfPp = Kp*g*L (passive pressure at bottom of pier)22.0833-56.808Input Data:S1 =1.868ksfS1 = Pp/3 (passive pressure at 1/3 embedment depth)32.1667-55.043L =15.57ft.L = 1.18*Pe/(D*S1)*(1+SQRT(1+1.88*D*S1*(H+h1+h2)/Pe))42.2500-53.394Pier Data:Pv=3 kLt =15.57ft.Lt = h1+h2+L (total length)52.3333-51.849Pier Foundation Diameter, D =2.500ft.Pier End Bearing Pressure:62.4167-50.398Pier Height Above Soil, h1 =0.000ft.M=0 ft-kAf =4.91ft.^2Af = p*D^2/4 (pier base area)72.5000-49.031Ph=10.133 kWf =11.46kipsWf = (Af*Lt)*0.150 (pier weight)82.5833-47.741Soil Data:SPv =14.46kipsSPv = Pv+Wf (total vertical load)92.6667-46.521Unit Weight of Soil, g =0.120kcfP(bot) =2.946ksfP(bot) = SPv/Af102.7500-45.365Angle of Internal Friction, f =30.00deg.H=28.625'Ground112.8333-44.266Depth to Resisting Surface, h2 =0.000ft.Line122.9167-43.221Allow. Soil Bearing Pressure, Pa =4.000ksfh1=0'133.0000-42.225h2=0'143.0833-41.275Pier Loadings:153.1667-40.366Axial Load, Pv =3.000kips163.2500-39.495Horizontal Load, Ph =10.133kipsResisting173.3333-38.661Distance from Ph to Top/Pier, H =28.625ft.SurfaceL=15.57'183.4167-37.860Externally Applied Moment, M =0.000ft-kips193.5000-37.090Pier203.5833-36.350213.6667-35.636D=2.5'223.7500-34.948Results:233.8333-34.283Nomenclature243.9167-33.641Pier Embedment and Total Length:254.0000-33.020Pe =10.133kipsPe = Ph+(M/(H+h1+h2)) ("equivalent total" horizontal load)264.0833-32.419Kp =3.000Kp = TAN^2(45+f/2) (passive pressure coefficient)274.1667-31.836Pp =5.604ksfPp = Kp*g*L (passive pressure at bottom of pier)284.2500-31.271S1 =1.868ksfS1 = Pp/3 (passive pressure at 1/3 embedment depth)294.3333-30.723L =15.57ft.L = 1.18*Pe/(D*S1)*(1+SQRT(1+1.88*D*S1*(H+h1+h2)/Pe))304.4167-30.190Lt =15.57ft.Lt = h1+h2+L (total length)314.5000-29.673324.5833-29.169Pier End Bearing Pressure:334.6667-28.679Af =4.91ft.^2Af = p*D^2/4 (pier base area)344.7500-28.202Wf =11.46kipsWf = (Af*Lt)*0.150 (pier weight)354.8333-27.737SPv =14.46kipsSPv = Pv+Wf (total vertical load)364.9167-27.283P(bot) =2.946ksfP(bot) = SPv/AfPa>=P(bot), O.K.375.0000-26.840385.0833-26.408Reference:Outdoor Advertising Association of America (OAAA) - New York, NY395.1667-25.986405.2500-25.574Comments:415.3333-25.170425.4167-24.776435.5000-24.389445.5833-24.011455.6667-23.640465.7500-23.277475.8333-22.921485.9167-22.572496.0000-22.229506.0833-21.892516.1667-21.561526.2500-21.237536.3333-20.918546.4167-20.604556.5000-20.295566.5833-19.992576.6667-19.693586.7500-19.399596.8333-19.109606.9167-18.824617.0000-18.543627.0833-18.266637.1667-17.993647.2500-17.724657.3333-17.458667.4167-17.196677.5000-16.938687.5833-16.682697.6667-16.430707.7500-16.182717.8333-15.936727.9167-15.693738.0000-15.453748.0833-15.216758.1667-14.982768.2500-14.750778.3333-14.521788.4167-14.295798.5000-14.070808.5833-13.849818.6667-13.629828.7500-13.412838.8333-13.197848.9167-12.984859.0000-12.773869.0833-12.564879.1667-12.357889.2500-12.152899.3333-11.949909.4167-11.748919.5000-11.548929.5833-11.350939.6667-11.154949.7500-10.960959.8333-10.767969.9167-10.5769710.0000-10.3869810.0833-10.1989910.1667-10.01110010.2500-9.82610110.3333-9.64210210.4167-9.46010310.5000-9.27910410.5833-9.09910510.6667-8.92010610.7500-8.74310710.8333-8.56710810.9167-8.39210911.0000-8.21911011.0833-8.04611111.1667-7.87511211.2500-7.70511311.3333-7.53611411.4167-7.36711511.5000-7.20011611.5833-7.03411711.6667-6.86911811.7500-6.70511911.8333-6.54212011.9167-6.38012112.0000-6.21912212.0833-6.05912312.1667-5.90012412.2500-5.74112512.3333-5.58312612.4167-5.42712712.5000-5.27112812.5833-5.11612912.6667-4.96113012.7500-4.80813112.8333-4.65513212.9167-4.50313313.0000-4.35213413.0833-4.20113513.1667-4.05213613.2500-3.90213713.3333-3.75413813.4167-3.60613913.5000-3.45914013.5833-3.31314113.6667-3.16714213.7500-3.02214313.8333-2.87814413.9167-2.73414514.0000-2.59114614.0833-2.44814714.1667-2.30614814.2500-2.16414914.3333-2.02315014.4167-1.88315114.5000-1.74315214.5833-1.60415314.6667-1.46515414.7500-1.32715514.8333-1.19015614.9167-1.05215715.0000-0.91615815.0833-0.78015915.1667-0.64416015.2500-0.50916115.3333-0.37416215.4167-0.24016315.5000-0.10616415.58330.02716515.66670.16016615.75000.29316715.83330.42516815.91670.55616916.00000.68817016.08330.81817116.16670.94917216.25001.07917316.33331.20817416.41671.33717516.50001.46617616.58331.59417716.66671.72217816.75001.85017916.83331.97718016.91672.10418117.00002.23118217.08332.35718317.16672.48318417.25002.60818517.33332.73318617.41672.85818717.50002.98318817.58333.10718917.66673.23119017.75003.35419117.83333.47719217.91673.60019318.00003.723019418.08333.84519518.16673.96719618.25004.08919718.33334.21019818.41674.33119918.50004.45220018.58334.57320118.66674.69320218.75004.81320318.83334.93320418.91675.05220519.00005.17220619.08335.29120719.16675.40920819.25005.52820919.33335.64621019.41675.76421119.50005.88221219.58335.99921319.66676.11621419.75006.23321519.83336.35021619.91676.46621720.00006.58321820.08336.69921920.16676.81522020.25006.93022120.33337.04622220.41677.16122320.50007.27622420.58337.39022520.66677.50522620.75007.61922720.83337.73322820.91677.84722921.00007.96123021.08338.07523121.16678.18823221.25008.30123321.33338.41423421.41678.52723521.50008.63923621.58338.75223721.66678.86423821.75008.97623921.83339.08824021.91679.19924122.00009.31124222.08339.42224322.16679.53324422.25009.64424522.33339.75524622.41679.86524722.50009.97624822.583310.08624922.666710.19625022.750010.30625122.833310.41625222.916710.52525323.000010.63525423.083310.74425523.166710.85325623.250010.96225723.333311.07125823.416711.18025923.500011.28826023.583311.39726123.666711.50526223.750011.61326323.833311.72126423.916711.82926524.000011.93726624.083312.04426724.166712.15226824.250012.25926924.333312.36627024.416712.47327124.500012.58027224.583312.68727324.666712.79327424.750012.90027524.833313.00627624.916713.11227725.000013.21927825.083313.32427925.166713.43028025.250013.53628125.333313.64228225.416713.74728325.500013.85328425.583313.95828525.666714.06328625.750014.16828725.833314.27328825.916714.37828926.000014.48229026.083314.58729126.166714.69129226.250014.79629326.333314.90029426.416715.00429526.500015.10829626.583315.21229726.666715.31629826.750015.42029926.833315.52330026.916715.62730127.000015.73030227.083315.83330327.166715.93730427.250016.04030527.333316.14330627.416716.24630727.500016.34830827.583316.45130927.666716.55431027.750016.65631127.833316.75931227.916716.86131328.000016.96331428.083317.06531528.166717.16731628.250017.26931728.333317.37131828.416717.47331928.500017.57532028.583317.67632128.666717.77832228.750017.87932328.833317.98132428.916718.08232529.000018.18332629.083318.28432729.166718.38532829.250018.48632929.333318.58733029.416718.68833129.500018.78833229.583318.88933329.666718.98933429.750019.09033529.833319.19033629.916719.29133730.000019.39133830.083319.49133930.166719.59134030.250019.69134130.333319.79134230.416719.89134330.500019.99134430.583320.09034530.666720.19034630.750020.28934730.833320.38934830.916720.48834931.000020.58835031.083320.68735131.166720.78635231.250020.88535331.333320.98435431.416721.08335531.500021.18235631.583321.28135731.666721.38035831.750021.47935931.833321.57736031.916721.67636132.000021.77436232.083321.87336332.166721.97136432.250022.07036532.333322.16836632.416722.26636732.500022.36436832.583322.46236932.666722.56037032.750022.65837132.833322.75637232.916722.85437333.000022.95237433.083323.04937533.166723.14737633.250023.24537733.333323.34237833.416723.44037933.500023.53738033.583323.63538133.666723.73238233.750023.82938333.833323.92638433.916724.02438534.000024.12138634.083324.21838734.166724.31538834.250024.41238934.333324.50839034.416724.60539134.500024.70239234.583324.79939334.666724.89539434.750024.99239534.833325.08939634.916725.18539735.000025.28239835.083325.37839935.166725.47440035.250025.57140135.333325.66740235.416725.76340335.500025.85940435.583325.95540535.666726.05240635.750026.14840735.833326.24440835.916726.33940936.000026.43541036.083326.53141136.166726.62741236.250026.72341336.333326.81841436.416726.91441536.500027.01041636.583327.10541736.666727.20141836.750027.29641936.833327.39242036.916727.48742137.000027.58242237.083327.67842337.166727.77342437.250027.86842537.333327.96342637.416728.05842737.500028.15342837.583328.24842937.666728.34343037.750028.43843137.833328.53343237.916728.62843338.000028.72343438.083328.81843538.166728.91243638.250029.00743738.333329.10243838.416729.19643938.500029.29144038.583329.38644138.666729.48044238.750029.57444338.833329.66944438.916729.76344539.000029.85844639.083329.95244739.166730.04644839.250030.14044939.333330.23545039.416730.32945139.500030.42345239.583330.51745339.666730.61145439.750030.70545539.833330.79945639.916730.89345740.000030.987Iteration #Trial 'L'Eqn. Value16315.500-1.059E-01(largest value 0)Interpolating between L(163) and L(164) to find where value = 0:L =15.566ft.
&R"POLEFDN.xls" ProgramVersion 2.0&C&P of &N&R&D &T"POLEFDN.xls"written by: Alex Tomanovich, P.E.
Granular Soil (Teng)POLE FOUNDATION ANALYSISCALCULATIONS:Version 2.0For Free-Top Rigid Round Piers Embedded in Granular Soil Using USS/Teng MethodSubjected Vertical Load, Horizontal Load, and/or MomentSoil Parameters:Determine embedment length, 'L':Job Name:Subject:f =30.50deg.f = 28.5+N/4 (angle of internal friction)Iteration #Trial 'L'Eqn. ValueJob Number:Originator:Checker:Kp =3.061Kp = TAN(45+f/2)^2 (passive soil pressure coefficient)12.0000-1343.627Pier Embedment and Total Length:22.0833-1346.263Input Data:Ho =20.27kipsHo = Ph*OLF32.1667-1348.812Mo =580.11ft-kipsMo = (M+Ph*(H+h1+h2))*OLF42.2500-1351.270Pier Data:Pv=3 kL =12.17ft.L = solution of cubic equation: L^3-2*Ho*L/(Kp*g*D)-2*Mo/(Kp*g*D)=052.3333-1353.635Pier Foundation Diameter, D =2.500ft.Lt =12.17ft.Lt = h1+h2+L (total length)62.4167-1355.903Pier Height Above Soil, h1 =0.000ft.M=0 ft-kPier End Bearing Pressure:72.5000-1358.070Ph=10.133 kAf =4.91ft.^2Af = p*D^2/4 (pier base area)82.5833-1360.132Soil Data:Wf =8.96kipsWf = (Af*Lt)*0.150 (pier weight)92.6667-1362.087Unit Weight of Soil, g =0.120kcfSPv =11.96kipsSPv = Pv+Wf (total vertical load)102.7500-1363.931Blows/Foot (Penetrometer), N =8H=28.625'GroundP(bot) =2.436ksfP(bot) = SPv/Af112.8333-1365.661Depth to Resisting Surface, h2 =0.000ft.Line122.9167-1367.272Allow. Soil Bearing Pressure, Pa =4.000ksfh1=0'133.0000-1368.762h2=0'143.0833-1370.127Pier Loadings:153.1667-1371.363Axial Load, Pv =3.000kips163.2500-1372.467Horizontal Load, Ph =10.133kipsResisting173.3333-1373.436Distance from Ph to Top/Pier, H =28.625ft.SurfaceL=12.17'183.4167-1374.267Externally Applied Moment, M =0.000ft-kips193.5000-1374.954Overload Factor, OLF =2.000Pier203.5833-1375.496213.6667-1375.889D=2.5'223.7500-1376.129233.8333-1376.212Nomenclature243.9167-1376.136Results:254.0000-1375.897264.0833-1375.491Granular Soil Parameters:274.1667-1374.915f =30.50deg.f = 28.5+N/4 (angle of internal friction)284.2500-1374.165Kp =3.061Kp = TAN(45+f/2)^2 (passive soil pressure coefficient)294.3333-1373.238304.4167-1372.130Pier Embedment and Total Length:314.5000-1370.839Ho =20.27kipsHo = Ph*OLF324.5833-1369.360Mo =580.11ft-kipsMo = (M+Ph*(H+h1+h2))*OLF334.6667-1367.690L =12.17ft.L = solution of cubic equation: L^3-2*Ho*L/(Kp*g*D)-2*Mo/(Kp*g*D)=0344.7500-1365.826Lt =12.17ft.Lt = h1+h2+L (total length)354.8333-1363.764364.9167-1361.500Pier End Bearing Pressure:375.0000-1359.031Af =4.91ft.^2Af = p*D^2/4 (pier base area)385.0833-1356.355Wf =8.96kipsWf = (Af*Lt)*0.150 (pier weight)395.1667-1353.466SPv =11.96kipsSPv = Pv+Wf (total vertical load)405.2500-1350.362P(bot) =2.436ksfP(bot) = SPv/Af415.3333-1347.039425.4167-1343.494435.5000-1339.724445.5833-1335.724455.6667-1331.492(continued)465.7500-1327.023475.8333-1322.315485.9167-1317.364APPLIED LATERAL LOAD AND RESISTANCE OF POLE/FOUNDATION496.0000-1312.166Reference:"Tapered Steel Poles - Caisson Foundation Design"506.0833-1306.719Prepared for United States Steel Corp. by Teng and Assoc., July 1969516.1667-1301.017526.2500-1295.059Embedment depth, L, is solution of:536.3333-1288.841L^3-2*Ho/(Kp*g*D)*L-2*Mo/(Kp*g*D) = 0546.4167-1282.358Mo556.5000-1275.609566.5833-1268.588576.6667-1261.293Ho586.7500-1253.720596.8333-1245.866606.9167-1237.728617.0000-1229.301L627.0833-1220.582637.1667-1211.569647.2500-1202.257657.3333-1192.642667.4167-1182.722R677.5000-1172.493687.5833-1161.952D3*g*Kp*D*L697.6667-1151.095707.7500-1139.918717.8333-1128.418FOUNDATION IN GRANULAR SOIL727.9167-1116.592738.0000-1104.436748.0833-1091.946758.1667-1079.120Comments:768.2500-1065.954778.3333-1052.444788.4167-1038.586798.5000-1024.378808.5833-1009.816818.6667-994.896828.7500-979.615838.8333-963.969848.9167-947.956859.0000-931.571869.0833-914.810879.1667-897.672889.2500-880.151899.3333-862.245909.4167-843.950919.5000-825.263929.5833-806.180939.6667-786.697949.7500-766.812959.8333-746.521969.9167-725.8209710.0000-704.7059810.0833-683.1749910.1667-661.22310010.2500-638.84810110.3333-616.04610210.4167-592.81410310.5000-569.14810410.5833-545.04410510.6667-520.49910610.7500-495.50910710.8333-470.07210810.9167-444.18410911.0000-417.84011011.0833-391.03811111.1667-363.77511211.2500-336.04611311.3333-307.84811411.4167-279.17811511.5000-250.03211611.5833-220.40811711.6667-190.30011811.7500-159.70711911.8333-128.62412011.9167-97.04712112.0000-64.97512212.0833-32.40212312.16670.67412412.250034.25712512.333368.35112612.4167102.95812712.5000138.08312812.5833173.72812912.6667209.89813012.7500246.59613112.8333283.82513212.9167321.58913313.0000359.89013413.0833398.73413513.1667438.12313613.2500478.06013713.3333518.54913813.4167559.59413913.5000601.19814013.5833643.36414113.6667686.09714213.7500729.39914313.8333773.27414413.9167817.72514514.0000862.75614614.0833908.37014714.1667954.57114814.25001001.36314914.33331048.74815014.41671096.73015114.50001145.31315214.58331194.50115314.66671244.29515414.75001294.70115514.83331345.72215614.91671397.36115715.00001449.62115815.08331502.50615915.16671556.02016015.25001610.16516115.33331664.94616215.41671720.36616315.50001776.42916415.58331833.13716515.66671890.49416615.75001948.50416715.83332007.17116815.91672066.49716916.00002126.48617016.08332187.14217116.16672248.46817216.25002310.46817316.33332373.14517416.41672436.50217516.50002500.54417616.58332565.27317716.66672630.69317816.75002696.80717916.83332763.61918016.91672831.13318117.00002899.35118217.08332968.27818317.16673037.91718417.25003108.27118517.33333179.34318617.41673251.13818717.50003323.65918817.58333396.90918917.66673470.89119017.75003545.61019117.83333621.06819217.91673697.26919318.00003774.217019418.08333851.91419518.16673930.36519618.25004009.57419718.33334089.54219818.41674170.27419918.50004251.77420018.58334334.04520118.66674417.09020218.75004500.91220318.83334585.51620418.91674670.90520519.00004757.08220619.08334844.05020719.16674931.81420819.25005020.37620919.33335109.74121019.41675199.91121119.50005290.88921219.58335382.68121319.66675475.28821419.75005568.71521519.83335662.96521619.91675758.04121720.00005853.94721820.08335950.68621920.16676048.26322020.25006146.67922120.33336245.93922220.41676346.04722320.50006447.00522420.58336548.81722520.66676651.48722620.75006755.01822720.83336859.41322820.91676964.67722921.00007070.81223021.08337177.82323121.16677285.71123221.25007394.48223321.33337504.13823421.41677614.68323521.50007726.12023621.58337838.45323721.66677951.68523821.75008065.82123921.83338180.86224021.91678296.81324122.00008413.67824222.08338531.45924322.16678650.16024422.25008769.78424522.33338890.33624622.41679011.81924722.50009134.23524822.58339257.58924922.66679381.88425022.75009507.12325122.83339633.31125222.91679760.44925323.00009888.54325423.083310017.59525523.166710147.60825623.250010278.58725723.333310410.53525823.416710543.45525923.500010677.35026023.583310812.22526123.666710948.08326223.750011084.92626323.833311222.75926423.916711361.58526524.000011501.40826624.083311642.23126724.166711784.05726824.250011926.89026924.333312070.73327024.416712215.59127124.500012361.46627224.583312508.36127324.666712656.28127424.750012805.22927524.833312955.20827624.916713106.22127725.000013258.27327825.083313411.36727925.166713565.50528025.250013720.69328125.333313876.93228225.416714034.22728325.500014192.58128425.583314351.99728525.666714512.48028625.750014674.03228725.833314836.65628825.916715000.35728926.000015165.13929026.083315331.00329126.166715497.95429226.250015665.99529326.333315835.13129426.416716005.36329526.500016176.69629626.583316349.13329726.666716522.67829826.750016697.33429926.833316873.10530026.916717049.99430127.000017228.00430227.083317407.13930327.166717587.40330427.250017768.79830527.333317951.32930627.416718134.99930727.500018319.81130827.583318505.76930927.666718692.87731027.750018881.13731127.833319070.55331227.916719261.13031328.000019452.86931428.083319645.77531528.166719839.85131628.250020035.10131728.333320231.52831828.416720429.13531928.500020627.92732028.583320827.90632128.666721029.07532228.750021231.44032328.833321435.00232428.916721639.76632529.000021845.73432629.083322052.91132729.166722261.30032829.250022470.90432929.333322681.72633029.416722893.77133129.500023107.04233229.583323321.54233329.666723537.27433429.750023754.24333529.833323972.45133629.916724191.90233730.000024412.59933830.083324634.54733930.166724857.74834030.250025082.20634130.333325307.92534230.416725534.90734330.500025763.15734430.583325992.67834530.666726223.47334630.750026455.54534730.833326688.89934830.916726923.53834931.000027159.46535031.083327396.68335131.166727635.19735231.250027875.00935331.333328116.12335431.416728358.54335531.500028602.27235631.583328847.31435731.666729093.67135831.750029341.34835931.833329590.34836031.916729840.67436132.000030092.33036232.083330345.31936332.166730599.64536432.250030855.31236532.333331112.32236632.416731370.67936732.500031630.38836832.583331891.45036932.666732153.87037032.750032417.65137132.833332682.79637232.916732949.31037333.000033217.19537433.083333486.45537533.166733757.09437633.250034029.11537733.333334302.52137833.416734577.31637933.500034853.50338033.583335131.08638133.666735410.06838233.750035690.45338333.833335972.24538433.916736255.44638534.000036540.06038634.083336826.09138734.166737113.54338834.250037402.41738934.333337692.71939034.416737984.45239134.500038277.61839234.583338572.22239334.666738868.26739434.750039165.75639534.833339464.69339634.916739765.08239735.000040066.92639835.083340370.22739935.166740674.99140035.250040981.22040135.333341288.91840235.416741598.08840335.500041908.73340435.583342220.85840535.666742534.46540635.750042849.55940735.833343166.14240835.916743484.21840936.000043803.79141036.083344124.86441136.166744447.44041236.250044771.52341336.333345097.11641436.416745424.22441536.500045752.84841636.583346082.99441736.666746414.66441836.750046747.86241936.833347082.59142036.916747418.85442137.000047756.65642237.083348096.00042337.166748436.88842437.250048779.32642537.333349123.31542637.416749468.86042737.500049815.96442837.583350164.63042937.666750514.86343037.750050866.66443137.833351220.03943237.916751574.99043338.000051931.52143438.083352289.63643538.166752649.33743638.250053010.62843738.333353373.51343838.416753737.99643938.500054104.07944038.583354471.76644138.666754841.06144238.750055211.96744338.833355584.48844438.916755958.62644539.000056334.38744639.083356711.77244739.166757090.78544839.250057471.43144939.333357853.71245039.416758237.63245139.500058623.19445239.583359010.40245339.666759399.26045439.750059789.77045539.833360181.93645639.916760575.76245740.000060971.252Using "USS" Method:Iteration #Trial 'L'Eqn. Value12212.083-3.240E+0112312.1676.740E-01Interpolating between L(122) and L(123) to find where value = 0:L =12.165ft.
&R"POLEFDN.xls" ProgramVersion 2.0&C&P of &N&R&D &T"POLEFDN.xls"written by: Alex Tomanovich, P.E.
Cohesive Soil (Teng)POLE FOUNDATION ANALYSISCALCULATIONS:Version 2.0For Free-Top Rigid Round Piers Embedded in Cohesive Soil Using USS/Teng MethodSubjected Vertical Load, Horizontal Load, and/or MomentSoil Parameters:Job Name:Subject:qu =2.000ksfqu = N/4 (unconfined compressive strength of soil)Job Number:Originator:Checker:c =1.000ksfc = qu/2 (shear strength of soil)q =0.901ft.q =Ph*OLF/(9*c*D)Input Data:Pier Embedment and Total Length:Ho =20.27kipsHo = Ph*OLFPier Data:Pv=3 kMo =580.11ft-kipsMo = (M+Ph*(H+h1+h2))*OLFPier Foundation Diameter, D =2.500ft.Heff =28.63ft.Heff = Mo/HoPier Height Above Soil, h1 =0.000ft.M=0 ft-kL =15.53ft.L = 1.5*D+q*(1+SQRT(2+(4*Heff+6*D)/q))Ph=10.133 kLt =15.53ft.Lt = h1+h2+L (total length)Soil Data:Pier End Bearing Pressure:Blows/Foot (Penetrometer), N =8Af =4.91ft.^2Af = p*D^2/4 (pier base area)Depth to Resisting Surface, h2 =0.000ft.H=28.625'GroundWf =11.43kipsWf = (Af*Lt)*0.150 (pier weight)Allow. Soil Bearing Pressure, Pa =4.000ksfLineSPv =14.43kipsSPv = Pv+Wf (total vertical load)h1=0'P(bot) =2.940ksfP(bot) = SPv/AfPier Loadings:h2=0'Axial Load, Pv =3.000kipsHorizontal Load, Ph =10.133kipsDistance from Ph to Top/Pier, H =28.625ft.ResistingExternally Applied Moment, M =0.000ft-kipsSurfaceL=15.53'Overload Factor, OLF =2.000PierD=2.5'NomenclatureResults:Cohesive Soil Parameters:qu =2.00ksfqu = N/4 (unconfined compressive strength of soil)c =1.00ksfc = qu/2 (shear strength of soil)q =0.901ft.q =Ph*OLF/(9*c*D)Pier Embedment and Total Length:Ho =20.27kipsHo = Ph*OLFMo =580.11ft-kipsMo = (M+Ph*(H+h1+h2))*OLFHeff =28.63ft.Heff = Mo/HoL =15.53ft.L = 1.5*D+q*(1+SQRT(2+(4*Heff+6*D)/q))Lt =15.53ft.Lt = h1+h2+L (total length)Pier End Bearing Pressure:Af =4.91ft.^2Af = p*D^2/4 (pier base area)Wf =11.43kipsWf = (Af*Lt)*0.150 (pier weight)SPv =14.43kipsSPv = Pv+Wf (total vertical load)P(bot) =2.940ksfP(bot) = SPv/Af(continued)APPLIED LATERAL LOAD AND RESISTANCE OF POLE/FOUNDATIONReference:"Tapered Steel Poles - Caisson Foundation Design"Prepared for United States Steel Corp. by Teng and Assoc., July 1969Embedment depth, L, is solution of:L = 1.5*D+q*(1+SQRT(2+(4*Heff+6*D)/q))MoHo1.5*DLH1 Y1H2Y29*c*D D9*c*DFOUNDATION IN COHESIVE SOILComments:0
&R"POLEFDN.xls" ProgramVersion 2.0&C&P of &N&R&D &T"POLEFDN.xls"written by: Alex Tomanovich, P.E.
