Poll Question #1 - Concrete Pipe

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Poll Question #11Rigid Rugged Resilient

Outline Why do we care? What is buoyancy? TWO methods to account for this our designs Factors of Safety Where the rubber meets the road.exampleproblems!

Flotation Failure

6Rigid Rugged Resilient

Rigid Rugged Resilient7

idRigid Rugged Resilient8

Relative WeightsCONCRETEγ 150γ 60lbs/ft3HDPEWATERγ 62.4 lbs/ft3lbs/ft3STEELγ 490 lbs/ft3

Pipe WeightsV 18.35 ft3/ft62.4 lb/ft3WATERW 1145 lb/ftCONCRETEW 867 lb/ft48” PIPEHDPEW 26 lb/ftSTEELW 48 lb/ft

Poll Question #212Rigid Rugged Resilient

Flotation Calculationγ 120 lbs/ft3Soil Resistance Pipe Weight – Buoyancy Force 0.0

Microstructure of Soil

Buoyant Weight of Soilγb γt - γw γt saturated unit weight of soil (pcf) γw unit weight of water (pcf)

Methods of Calculating SoilResistance for Buoyancy

1 - American Concrete Pipe Association(ACPA) Design Data (DD) 22Methods

2 - Watkins/Moser (W/M)Utah StateMethods

Required Informationγt Saturatedunit weight ofsoil (pcf)HwHDoDo

ACPA DD 220.1073 DoRs Ws PL γbDo (4 - π)H 8DoEquation 4 – Concrete Pipe Design Manual

Watkins/MoserXθXθ 45 - φ/2Rs PL 2 X2X [(H Do/2)2 tan(45 - φ/2)]γbφ internal angle of friction

Watkins/MoserXXθ 45 - φ/2Rs PL 2 X2 X [(H Do/2)2 tan(45 - φ/2)]γbφ internal angle of friction

www.asce.org/accessengineering/Rigid Rugged Resilient24

Poll Question #3Which method accounts for a largervalue for the soil resistance?a.b.c.d.25Rigid Rugged ResilientACPA DD 22/ Column MethodThe Bar MethodWatkins & Moser MethodThe Numerical Method

Factors of SafetyRigid Rugged Resilient

Factors of Safety Geotechnical Engineering –LRFD Bridge SubstructuresSlope Stability 1.3 to 1.5Foundation Bearing Capacity 2 to 3Foundation Sliding 1.5 Foundation Overturning 2.0 27Rigid Rugged Resilient

ACPA DD 22 - Factors of Safety -Guidance

29

Example: RCP Buoyancy Force Soil Resistance Factor of SafetyRigid Rugged Resilient30

Assume groundwater level is atthe surfaceExistingGroundSurface1 FtDi 48 inchesDo 58 inches 4.833 Ft31Rigid Rugged ResilientGiven:RC Pipe Weight Wp 867 lb/ftγt 120 pcfφ 30 deg

Is flotation aconcern?RC Pipe Weight Wp 867 lb/ftWeight of WaterDisplaced Ww π (do/2)2 γwWw 1,145 lbs/ftBF - 278 lb/ftDo 58 inches 4.833 Ft32Rigid Rugged Resilient

ACPA Method Concrete PipeWhat is the SoilResistance?Rs Ws PL γb H Do (4 - π)8DoEquation 4 – Concrete Pipe Design ManualRs (120 – 62.4)4.833 (4 - π)1 8Rs 423 lbs/ft4.833

Watkins/Moser Method ConcretePipeXθXWhat is the SoilResistance?θ 45 - φ/2Rs PL 2 X2 X [(H Do/2)2 tan(45 - φ/2)] γb2 X [(1 4.833/2)2 tan(45 - 30/2)] (120-62.4)Rs 423 388 811 lbs/ft

ResultsACPA Method Net force (BF x FS) Rs (-278 x 1.25) 423 75 lbsWatkins/Moser Method Net force (BF x FS) Rs (-278 x 2.0) 811 255 lbs

RCP ResultsMethodBuoyancySoilFactor ofForce, BF Resistance Safety,(lbs/ft)Rs /ft)75255

Poll Question #437Rigid Rugged Resilient

Example: CMP Buoyancy Force Soil Resistance Factor of SafetyRigid Rugged Resilient38

Assume groundwater level is atthe surfaceExistingGroundSurface1 FtDi 48 inchesDo 49 inches 4.08 Ft39Rigid Rugged ResilientGiven:CM Pipe Weight Wp 48 lb/ftγt 120 pcfφ 30 deg

Is flotation aconcern?CM Pipe Weight Wp 48 lb/ftWeight of WaterDisplacedWw π (do/2)2 γwWw 817 lbs/ftBF - 769 lb/ftDo 49 inches 4.08 Ft40Rigid Rugged Resilient

ACPA Method Metal PipeWhat is soilresistance?Rs Ws PL γb H Do (4 - π)8DoEquation 4 – Concrete Pipe Design ManualRs (120 – 62.4)4.08 (4 - π)1 8Rs 338 lbs/ft4.08

Watkins/Moser Method Metal PipeXXθWhat is soilresistance?θ 45 - φ/2Rs PL 2 X2 X [(H Do/2)2 tan(45 - φ/2)] γb2 X [(1 4.08/2)2 tan(45 - 30/2)] (120-62.4)Rs 338 307 645 lbs/ft

Results Metal PipeMethodBuoyancySoilFactor ofForce, BF Resistance Safety,(lbs/ft)Rs /ft)-623-893

Example: HDPE Buoyancy Force Soil Resistance Factor of SafetyRigid Rugged Resilient44

ExistingGroundSurfaceAssume groundwater level is atthe surface1 FtDi 48 inchesDo 54 inches – use 51” 4.25 Ft45Rigid Rugged ResilientGiven:HDPE Pipe Weight Wp 26 lb/ftγt 120 pcfφ 30 deg

Is flotation aconcern?HDPE Pipe Weight Wp 26 lb/ftWeight of WaterDisplacedWw π (do/2)2 γwWw 885 lbs/ftBF - 859 lb/ftDo 51 inches 4.25 Ft46Rigid Rugged Resilient

ACPA HDPE PipeRs Ws PL γb H Do (4 - π)8DoEquation 4 – Concrete Pipe Design ManualRs (120 – 62.4)4.25 (4 - π)1 8Rs 356 lbs/ft4.25

Watkins/Moser HDPE PipeXXθθ 45 - φ/2Rs PL 2 X2 X [(H Do/2)2 tan(45 - φ/2)] γb2 X [(1 4.25/2)2 tan(45 - 30/2)] (120-62.4)Rs 356 325 681 lbs/ft

Results HDPE PipeMethodBuoyancySoilFactor ofForce, BF Resistance Safety,(lbs/ft)Rs /ft)-717-1037

Comparison – ACPA MethodSoil48” Pipe BuoyancyFactor ofForce, BF Resistance Safety,Type(lbs/ft)Rs .25NetForce(lbs/ft)-717-62375

Comparison – W/M MethodSoil48” Pipe BuoyancyFactor ofForce, BF Resistance Safety,Type(lbs/ft)Rs NetForce(lbs/ft)-1037-893255

How Much Fill For a 48 Inch Pipe?Pipe TypeMethodRCPCMPHDPEACPA0.8 ft.3.7 ft.4 ft.*M/W0.5 ft.2.8 ft.3.0 ft.*For plastic pipe, a good rule of thumb is fill height equal to pipe diameter.

ACPA Min Fill to Avoid FlotationPipePipePipeMin.Min.Min.Size (in) Fill (ft) Size (in) Fill (ft) Size (in) Fill 00.3601.1962.0330.3661.21022.2360.4721.41082.4

48”RCP ResultsShapeBuoyancySoilFactor ofForce, BF Resistance Safety,(lbs/ft)Rs NetForce(lbs/ft)18875

Poll Question #556Rigid Rugged Resilient

Source: FHWA HDS 558Rigid Rugged Resilient

59Rigid Rugged Resilient

Building Resilience Reputation andRapport60

Source: FHWA HDS 5

Source: FHWAHDS 5Rigid Rugged Resilient63

AnchorsRigid Rugged Resilient

Building Resilience Reputation and Rapport65

Poll Question #666Rigid Rugged Resilient

The materials.com67Rigid Rugged Resilient

Water Table Not up to the SurfaceHHw

ExistingGroundSurface3 Ft1.5 FtDi 60 inchesDo 67 inches – use 63.5” 5.29 Ft69Rigid Rugged ResilientGiven:HDPE Pipe Weight Wp 62 lb/ftγt 130 pcfγd 110 pcf

Is flotation aconcern?HDPE Pipe Weight Wp 62 lb/ft3 Ft1.5 FtWeight of WaterDisplacedWw π (do/2)2 γwWw 1373 lbs/ftBF - 1311 lb/ftDo 5.29 Ft70Rigid Rugged Resilient

Water Table Not up to the SurfaceWhat is soilResistance?HHwNet Force (BF x FS) Rs (-1311 x 1.25) Rs

72Rigid Rugged Resilient

Calculation of Soil ResistanceRs (γt - γw)Do (4 - π)Hw 8Do γd (H – Hw)(Do)5.29 (4 - π)5.29 110 (3 – 1.5)(5.29)Rs (130 – 62.4) 1.5 8Rs 739 873Rs 1612 lbs/ft

Results HDPE PipeMethodACPABuoyancySoilFactor ofForce, BF Resistance Safety,(lbs/ft)Rs (lbs/ft)-13111612FS1.25NetForce(lbs/ft)-27

Floatation of Horizontal EllipticalConcrete Pipe75Rigid Rugged Resilient

Assume groundwater level is atthe surfaceExistingGroundSurfaceGiven:38 x 60 H.E. RCP1 Ft76Rigid Rugged Resilient

Assume groundwater level is atthe surfaceExistingGroundSurface1 FtIs Flotation aConcern?RC Pipe Weight Wp 1000 lb/ftγt 120 pcfφ 30 deg77Rigid Rugged Resilient

78Rigid Rugged Resilient

Assume groundwater level is atthe surfaceExistingGroundSurface1 FtIs Flotation aConcern?RC Pipe Weight Wp 1000 lb/ftArea of WaterDisplaced 19.64 ft2Weight of WaterDisplaced Ww 1,226 lbs/ftBF - 226 lb/ft79Rigid Rugged Resilient

Areas of Elliptical Pipe for Buoyancy PurposesSize(in)FlowArea2(ft )TotalArea2(ft )Size(in)FlowArea2(ft )TotalArea2(ft )24 x 3827 x 4229 x 4532 x 4934 x 5338 x 6043 x 6848 x 7653 x 8358 x 11.4413.5815.5819.6425.0230.4936.543.0563 x 9868 x 10672 x 11377 x 12182 x 12887 x 13692 x 14397 x 1466.3875.7084.0993.62103.95114.74138.81164.76106 x 166116 x 180

What is the SoilResistance fromthe UpperHaunch?Rise 38 inSpan 60 inY 38 2(5.5) 49 inWall 5.5 inX 60 2(5.5) 71 inRect. Area X*Y (49 x 71)/144 24.16 ft2Pipe Area 19.64 ft2Upper Haunch Area (24.16 – 19.64)/2 2.26 ft2Soil Weight from Upper Haunch 2.26 ft2 x 1 ft x (120 – 62.4) 130 lbs/ft

ACPA Method Concrete PipeWhat is the SoilResistance fromthe soil prismabove thecrown?Rs Upper Haunch Rectangular Soil PrismRs 130 lbs/ft 1 ft x (71/12) x (120-62.4)Rs 471 lbs/ft

48”RCP ResultsShapeBuoyancySoilFactor ofForce, BF Resistance Safety,(lbs/ft)Rs NetForce(lbs/ft)18875

Areas of Arch Pipe for Buoyancy .57.0265/8 x433/86.4315/16 x511/862 x 2 x 11544.564.58.813.2771/2 x12251.773.536 x 581/211.417.2871/8 x13866.093.540 x 6514.321.2967/8 x15481.8115.426.51061/2 x1683/499.1131.218 x 281/2221/2 x361/445 x 7317.7Size(in)54 x 88

Flowable FillθxA ½ ro (θ - sin θ)2θ invcos[(ro – x)/ro] 2

Flowable Fill Using γff 130 pcf Maximum depths of flowable fill HDPE pipe – 2 to 3 inches CMP pipe – 3 to 4 inches RCP pipe – approximately 40% of Do

References ACPA Design Data 22, Flotation of Circular ConcretePipe Buried Pipe Design by A.P. Moser, second edition,McGraw hill Structural Mechanics of Buried Pipes by R.K. Watkinsand L.R. Anderson, CRC press Pipeline Installation by A. Howard, relativity publishing Soil Engineering by M. Spangler & R. Handy, Harper &Row Federal Highways Administration

The Endjbeakley@concretepipe.org88Rigid Rugged Resilient

So let’s look at the propensity of common pipe materials to float.\爀屲Most plastics have roughly the same density of water, jus\൴ slightly less.\爀屲Concrete density is roughly 2 times that of water, and steel density is roughly 7.5 times that of water.\爀屲So對 if you drop a rod of plastic in the water it will float. If you drop a rod of concrete or steel in the water they will .

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