providing sanitation in peri-urban slums of nairobi, kenya

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 Providing Sanitation in Peri- Urban Slums of Nairobi, Kenya Lance M. Langer, Rahul Gogia, Amanda Caldwell-Jacques, Reggie Jansen, Bill Cheng WEF-AWWA Joint Student Chapter Design Team University of Illinois Urbana-Champaig n August 2014

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The WEF-AWWA 2014 Design Team Notebook.

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    Providing Sanitation in Peri-Urban Slums of Nairobi, Kenya

    Lance M. Langer, Rahul Gogia, Amanda Caldwell-Jacques, Reggie Jansen, Bill ChengWEF-AWWA Joint Student Chapter Design Team

    University of Illinois Urbana-Champaign

    August 2014

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    CONTENTS1. Introduction .......................................................................................................................................................... 3

    1.1 Sanergy - Current Situation in Nairobi, Kenya .............................................................................................. 3

    1.2 Anaerobic Digestion - Background ............................................................................................................... 4

    2. Evaluation of Alternatives ..................................................................................................................................... 5

    2.1 Wet Anaerobic Digester ............................................................................................................................... 6

    2.2 Dry Anaerobic Digester ................................................................................................................................ 7

    3. Gas Production ...................................................................................................................................................... 7

    4. Economic analysis ................................................................................................................................................. 9

    4.1 Wet Anaerobic Digester ............................................................................................................................... 9

    4.2 Dry Anaerobic Digester .............................................................................................................................. 10

    4.3 Payback Period ........................................................................................................................................... 10

    5. Recommendations .............................................................................................................................................. 11

    Works Cited ................................................................................................................................................................. 12

    Appendix ...................................................................................................................................................................... 13

    Biogas Production Calculations ............................................................................................................................... 13

    Concrete Calculations .............................................................................................................................................. 14

    Steel Bar Reinforcement Calculations ..................................................................................................................... 16

    Team MembersPaper Contributions ....................................................................................................................... 22

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    1.INTRODUCTION The world today is comprised of many countries that lack basic needs such as clean drinking water and

    sanitation. Without the proper guidance and necessary resources these countries are forced to live an

    impractical lifestyle that makes the environment unsafe. The city of Nairobi, home to around 3 million,

    is located in the East African country of Kenya. Unfortunately, this city has been plagued with the lack of

    essential sanitation infrastructure. However, Nairobi is currently working towards building a working

    sanitation system, and cleaning up their environment, with the help of the non-government

    organization (NGO), Sanergy.

    FIGURE 1-1 SLUMS OF NAIROBI, KENYA

    1.1 SANERGY -CURRENT SITUATION IN NAIROBI, KENYASanergy has a plan to supply the city of Nairobi with a sustainable sanitation system while still turning a

    profit through their Build-Franchise-Collect-Convert-Transfer operational plan.

    FIGURE 1-2 SANERGY 'S OPERATIONAL PLA N

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    Sanergy engineers design and manufacture Fresh Life Toilets which focus on hygiene, accessibility and

    affordability. Once the toilets are ready for use, Sanergy sells the toilets to locals who become part of

    the franchise. They assume the role of Fresh Life Operatorsand receive training, access to financial

    assistance, and marketing. It is their responsibility to make sure that the toilets are operational on a

    daily basis. When the toilets are in full operation, they consist of a waste separated collection cartridge

    system and provide a hand washing station. The waste is collected at the end of each day and the

    cartridges are replaced with fresh ones. After the waste is collected, it is transported by wheelbarrows

    to the Sanergy facility where it is converted to an organic fertilizer. Finally, Sanergy supplies local

    farmers with the organic fertilizer.

    FIGURE 1-3MICHAEL AZZARELLO NEXT TO AN OPERATIONAL FRESH LIFE TOILET(CEE449TRIP TO NAIROBI,KENYASPRING 2014)

    Sanergy currently serves a roughly four square kilometer area in which approximately 500,000 people

    have access to this sanitation system. The toilets are accessible at a cost of 5 Kenyan Shillings per use,

    equivalent to 6 cents in the U.S., and there are a little more than 325 toilets in operation which are each

    used from 150 to 200 times daily. It is estimated that 3 metric tons of waste is being produced per day at

    30% total solids content. The toilets are not yet found in the poorest regions of Nairobi, but Sanergy is

    looking to expand to these regions after they have experience in the field.

    1.2 ANAEROBIC DIGESTION - BACKGROUNDAnaerobic digestion is a process for which organic matter is converted to methane and carbon dioxide in

    the absence of oxygen. This biological process is characterized into four steps: hydrolysis, acideogenesis,

    acetogenesis and methanogenesis. Hydrolysis is when the organic matter is broken down into sugars

    and amino acids. Acideogenesis is when everything is reduced to simple acids. Acetogenesis is where

    materials are broken down into acetate, carbon dioxide and hydrogen gas. Finally, methanogenesis is

    when the formation of carbon dioxide and methane occur.

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    The factors that dictate the design of anaerobic digesters and gas production include the following:

    Temperaturemust remain in either the mesophilic range of 20-45 C (68-113 F) or the thermophilic

    range of 50-65 C (122-149 F).

    Solids Retention Time (SRT)the typical range for mesophilic treatment is 15-30 days and the typical

    range for thermophilic treatment is 12-14 days.

    Total Solids Contentthe total solid contents can range from 10-15% to meet the conditions needed for

    a wet digestion process and can range from 22-40% to meet the conditions needed for a dry digestion

    process.

    Carbon to Nitrogen ratio (C:N)must remain within the ideal range of 20-30. If this range is exceeded,

    the result will be a lower biogas production. If this range is not met, the result will be potential failure of

    the reactor.

    pHmust remain within the ideal range of 6.5-7.

    2.EVALUATION OF ALTERNATIVES In proposing feasible designs for anaerobic digesters in Nairobi, the team had to step back and consider

    the design challenges that we could potentially face in this region. The team determined that the key

    design challenges would include space and operation limitations, shortage of materials and funding, lack

    of expertise and volume of incoming waste.

    FIGURE 2-1 DESIGN CHALLENGES IN NAIROBI, KENYA

    After considering these challenges and limitations, it was decided that design goals would be to keep

    costs at a minimum while providing a simple operation and maintenance plan. Two different digesters,

    wet and dry, which took the form of two different reactor types, Continuously Stirred Tank Reactor

    (CSTR) and Plug Flow Reactor (PFR), were investigated. However, both structures share many similarities

    to conform to the feasibility study.

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    2.1 WET ANAEROBIC DIGESTERThe wet anaerobic digesters are continuously stirred tank reactors (CSTR) with proposed 10% total solids

    content. With 3 metric tons of waste being produced per day at 30% total solids content, the diluted

    influent would be around 9 metric tons per day (9 m/day). It is assumed that the solids retention time

    (SRT) would be 30 days bringing the total required internal volume to 270 cubic meters. At this size,having just one reactor that could handle this volume would be hard to build and maintain, thus the

    team spread this volume out among three reactors. Each reactor is designed to be about three meters in

    height, half below ground and half above, and three and a half meters in radius, all constructed out of

    steel bar reinforced concrete. With these dimensions, each reactor would contain a total of 115 cubic

    meters of usable storage volume providing a factor of safety of 1.28. To note, the usable storage does

    not include the dome for which will be elevated half a meter at its peak.

    This design will operate on the principle of conservation of mass. With an influent chute a meter above

    ground, and an effluent discharge one half meter above ground regulated by a plug valve, the goal is to

    use this principle to keep the reactors closed to the atmosphere and exploit the property that gas rises,in order to collect the production at an intake at the top of the dome. The gas will travel up and through

    a hose, regulated by a check valve, which will be connected to the top of the dome. Each reactor will be

    equipped with four long plastic oars, evenly spaced from each other and connected at the dome, which

    will be used to manually stir the contents of the reactors.

    The team determined that it would not be necessary to provide heating to our digesters, as

    conventional digesters need, because Nairobi is located right below the equator. With this in mind, the

    team theorizes that the digester will naturally receive enough heat from the sun to achieve mesophilic

    temperatures. To add, the influent will be naturally heated by the sun and will provide extra heat

    needed to meet the assumed SRT.

    FIGURE 2-2 BASIC LAYOUT OF WET ANAEROBIC DIGESTERS

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    2.2 DRY ANAEROBIC DIGESTERThe dry anaerobic digester is a plug flow reactor (PFR) with proposed 30% total solids content. With 3

    metric tons of waste being produced per day at 30% total solids content, the influent would be around 3

    metric tons per day (3 m/day). Again assuming that the SRT would be 30 days, the total required

    internal volume is 90 cubic meters. Applying a 5:1 length to width ratio, the length should be 20 metersand the width to be four meters while providing a height of one and a half meters, all above ground and

    constructed with steel bar reinforced concrete. With these dimensions, the reactor would contain a

    total of 120 cubic meters of usable storage volume providing a factor of safety of 1.33. To note, the

    usable storage does not include the dome for which will be elevated half a meter at its peak.

    This design would utilize a 20 meter long stainless steel auger that would move the influent through the

    length of the reactor in a plug flow fashion. The auger would be mounted at both ends and would be

    equipped with a hand crank which would be manually cranked from both ends in unison. A similar

    convention for influent addition and effluent removal will be applied to this reactor. The influent chute

    will be one meter above ground at one end of the reactor while the effluent discharge, regulated by aplug valve, a half a meter above ground will be located at the other end. The exact same method for gas

    collection and heating that was used for the wet anaerobic digester will be used for this digester.

    FIGURE 2-3 BASIC LAYOUT OF DRY ANAEROBIC DIGESTER

    3.GAS PRODUCTIONThe choice of the reactor configuration had a significant impact on determining biogas production. For

    the CSTR, assumptions made include ideal mixing occurring with minimal concentration gradients inside

    the reactor volume. For this to be reasonable, the reactor contents must be mixed thoroughly in regular

    intervals, as the biomass will aggregate and settle to the bottom of the tank as it is processed. The first

    step in determining gas production was determining the solids retention time (SRT), which is the optimal

    retention time for biomass digestion. For many systems, it can be difficult to decouple the solids

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    retention time from the hydraulic retention time (HRT), especially if the stream is high in solids content

    and/or there is a recycle stream present. However, since this is not the case with the current design, the

    SRT can be set equal to the HRT.

    Method #1: Volatile Suspended Solids Reduction

    The first of the methods used to calculate biogas production was the empirical method developed by

    Metcalf & Eddy (2003), in which the volatile suspended solids (VSS) reduction is calculated as a function

    of the SRT. The empirical equation used assumes no characteristics about the waste being used, and as

    such provides more of a ballpark estimate of the biogas production. The VSS reduction was calculated

    and used to determine the VSS removed from the total VSS in the feed stream. Finally, biogas

    production was calculated from dimensional analysis with the total VSS removed and common design

    criteria.

    Vd= 13.7 ln + 18.9

    Where Vd= percentage VSS reduction, = SRT (days)

    Assumptions:

    - 10% solids loading = 0.9 tonne/day of suspended solids = 900 kg solids/day

    - 25% VSS present in human waste

    - Typical design criteria for biogas production is 0.75 - 1.12 m3biogas / kg VSS removed

    - Biogas is 60% methane by volume, as a conservative estimate.

    The biogas production was estimated to be 111 - 165 m3/day. When the biogas is assumed to be

    composed of approximately 60% methane, the methane production is 66 - 99 m3/day.

    Method #2: Chen & Hashimoto equation

    A more accurate method of determining biogas and methane production was by taking into account the

    waste characteristics. The following empirical equation was developed by Chen & Hashimoto (1978):

    Where v= methane production rate (m3gas/m3digester day)

    B0= ultimate methane yield per gram of VSS added (L/g VSS)

    S0= influent VSS concentration (g/L)

    m= bacterial growth rate parameter (day-1)

    K = kinetic parameter (dimensionless)

    The parameters can be estimated as follows:

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    m= 0.013T - 0.129, where T is in C

    K = Assumptions:

    - For mesophilic conditions: m= 0.013(35C) - 0.129 = 0.326 day-1

    - Because the total solids concentration is 10% with 25% VSS content assumed, S0= (100 g/L)(0.25) = 25

    g/L

    - K = - For a single pass CSTR, HRT = SRT = 30 days

    - B0= 367 m3/tonne VSS (for municipal human waste) = 0.367 L/g VSS

    was calculated to be 0.284

    using these parameters. When scaled by the total reactor

    volume of 270 m3, the overall methane and biogas production were determined to be 77 and 128

    m3/day, respectively.

    4.ECONOMIC ANALYSIS

    4.1 WET ANAEROBIC DIGESTERBelow is a line by line break-down of the CSTR wet anaerobic digester. The check and plug valves are

    needed to regulate the flow of gas and effluent. The ladders are necessary for employees to stir the

    sludge with the plastic oars. Excavation is necessitated by the partially below grade design. This forcesthe total cost to $24,681.15 USD (2,175,643 Kenyan Shillings). Details about concrete and steel rebar

    calculations and costs can be found in the Appendix.

    CSTR Cost Analysis

    Item Quantity Units Cost/Item Total Cost

    Check Valve 3 UNIT $ 54.23 $ 162.69

    Plug Valve 3 UNIT $ 54.51 $ 163.53

    Wall Concrete 87.39 CUB MET $ 138.64 $ 12,115.75

    Base Concrete 136.8 SQ MET $ 20.80 $ 2,845.44

    Steel Bar Reinforcement 4,828 KG $ 1.59 $ 7,676.63

    Extra Base Thickness 6.15 PER 150 MM $ 18.18 $ 111.81Ladders 3 UNIT $ 49.99 $ 149.97

    Plastic Oar 12 UNIT $ 19.99 $ 239.88

    Excavation 267.72 CUB MET $ 2.84 $ 760.33

    Spread Dirt On Site 267.72 CUB MET $ 1.70 $ 455.12

    Total $ 24,681.15TABLE 4-1WET ANAEROBIC DIGESTER COST ANALYSIS

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    4.2 DRY ANAEROBIC DIGESTERWhile the plug flow reactor requires neither plastic oars nor excavation, the stainless steel auger adds

    significantly to the price. Also, as this design only calls for a single digester, fewer check and plug valves

    are needed, in addition to requiring less concrete. The total cost is $19,470.87 USD (1,716,357 Kenyan

    Shillings). Details about concrete calculations and costs can be found in the Appendix.

    PFR Cost Analysis

    Item Quantity Units Cost/Item Total Cost

    Check Valve 1 UNIT $ 54.23 $ 54.23

    Plug Valve 1 UNIT $ 54.51 $ 54.51

    Wall Concrete 39.54 CUB MET $ 170.45 $ 6,739.59

    Base Concrete 96.22 SQ MET $ 25.57 $ 2,460.35

    Extra Base Thickness 2.05 PER 150 MM $ 18.18 $ 37.27

    Steel Bar Reinforcement 6,367 KG $ 1.59 $ 10,124.92

    Stainless Steel Auger 1 UNIT $ - $ -

    Total $ 19,470.87TABLE 4-2DRY ANAEROBIC DIGESTER COST ANALYSIS

    4.3 PAYBACK PERIODUsing our calculations for biogas production, we were able to come up with project payback periods for

    both designs. According to Charles Banks, a speaker at the University of Southampton, every mof

    biogas produced can be expected to yield 10 kWh. For our project, we scaled this down to 2 kWh to

    factor in ideal yield, inefficiencies, malfunctions and methane concentration. With our range of 110-

    165 m of biogas per day, we were able to come up with a range of 88,000 to 130,000 kWh/year of

    energy production in our digesters. According to Regulasweb.com, the current rate for commercial

    electricity in Kenya is $0.18 (16 Kenyan Shillings). We applied this going rate to estimate anywhere from$15,600 to $23,200 of return value per year if Sanergy were to decide and invest in a combustion engine

    and generator. In covering the costs of the digester construction, these biogas yields would produce

    payback periods of less than two years. Table 4-3 below summarizes the payback calculations.

    Metcalf/Eddy Method Metcalf/Eddy Method Chen/Hashimoto Method

    Amount Units Amount Units Amount Units

    Design Criteria 1.12 mof biogas/kg VSS 0.75 m of biogas/kg VSS N/A

    Biogas Production 165 m 111 m 128 m

    kWh/day 353 kWh/day 238 kWh/day 274 kWh/day

    kWh/year 128,882 kWh/year 86,702 kWh/year 99,981 kWh/year

    Return value/year $ 23,198.67 $ 15,606.38 $ 17,996.54

    Wet Digester Cost $ 24,681.15 $ 24,681.15 $ 24,681.15

    Payback period 1.06 Years 1.58 Years 1.37 Years

    Dry Digester Cost $ 19,470.87 $ 19,470.87 $ 19,470.87

    Payback period .84 Years 1.25 Years 1.08 YearsTABLE 4-3PAYBACK PERIODS

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    5.RECOMMENDATIONS Our team took into account a number of factors when considering which recommendation to make to

    Sanergy. Cost, performance, maintenance and practicality all played a part in our decision. After

    weighing different options, our team recommends Sanergy use the Wet Anaerobic Digester design

    because it is economically viable, practical and a proven technology. With 3 smaller digesters as

    opposed to the Dry designs singular tank, it allows for continued use in case of a malfunction or

    maintenance issue. Its 2 year payback period is a realistic length for Sanergy to have to wait before

    turning a profit. Most importantly, wet anaerobic digesters are used all over the world and have been a

    proven energy-producing technology for decades, so issues with maintenance and future upgrades will

    be simplified and minimal.

    The main reason our team did not further pursue the dry digester option was due to the need for a

    stainless steel auger and the complications that would arise during construction. Because of the high

    solids content in the dry digester, a strong material was needed for mixing. When looking at similar

    models, it was consistently found that augers were used to mix the waste, and we chose this as our

    design point. However, when consulting with mentor Professor Jeremy Guest, who works in research

    with Sanergy, our team learned that constructing and installing an auger would be an expensive and

    non-practical option. Sanergy does not employ anyone who is licensed to work with stainless steel. In

    order to install the auger, Sanergy would have to either train an existing employee or bring in someone

    outside of the company to make the design work. The team decided that both of these options were

    too costly and inconvenient, especially when considering that in addition to cost, the dry digester did

    not have any significant advantages over the wet design.

    Hopefully with our detailed design and research, we can begin to build towards a better future for the

    residents of Nairobi, Kenya. Our model, if expanded upon and further developed, has the potential to

    become widespread throughout developing nations in need of proper sanitation systems. If Sanergy

    does indeed move forward with our design, it could be a pivotal moment for the community and the

    wastewater industry as a whole.

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    WORKS CITED1. Khanal, S. K. Anaerobic Biotechnology for Bioenergy Production: Principles and Applications.

    Wiley-Blackwell Publishing, 2008, pg. 93-97.

    2. Kigozi, R. Biogas Production Using the Organic Fraction of Municipal Solid Waste as Feedstock.

    International Journal of Research in Chemical, Metallurgical, and Civil Engineering, 2014, 1, 107.

    3. Gebremedhin, K. G. Biogas Production Model for Plug-Flow Anaerobic Digesters.ASABE Annual

    International Meeting, July 2006.

    4. Chen, Y.R. and A.G. Hashimoto. A substrate utilization kinetic model for biological treatment

    processes. Biotechnology and Bioengineering, 1980, 22(10), 2081-2095.

    5. Surendra, K. C.; Takara, D.; Hashimoto, A. G.; Khanal S. K. Biogas as a sustainable energy source

    for developing countries: Opportunities and challenges. Renewable and Sustainable Energy

    Reviews. March2014, 31, 846-859.

    6. Feasibility of Generating Green Power through Anaerobic Digestion of Garden Refuse from the

    Sacramento Area. N.p.: RIS International Ltd., Apr. 2005. PDF

    7.

    Monnet, Fabien.An Introduction to Anaerobic Digestion of Organic Waste. N.p.: Remade

    Scotland, Nov. 2003. PDF.

    8. "The Sanergy Model." Sanergy. 1 Jan. 2013. Web. 10 Aug. 2014. .

    9.

    Anaerobic Digestion and Energy Recovery Project. N.p.: CDM, Oct. 2009. PDF.

    10.Banks, Charles. University of Southhampton (20): n. pag. 20. Web.

    11."Regulus." Electricity Cost in Kenya. N.p., n.d. Web. 13 Aug. 2014.

    12.British Standards Institution (2005) BS 8110-1:1997: Structural use of concrete. London, BSI.

    13.

    Nyakiongora, M. A. Current Construction Cost Handbook. Ministry of Public Works, 201214.KS Code (2009) Building Code of the Republic of Kenya.

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    APPENDIX BIOGAS PRODUCTION CALCULATIONS

    Method #1 calculations: Volatile suspended solids reduction

    VSS reduction: Vd= 13.7 ln(30 days) + 18.9 = 65.5% reduction

    VSS removed: (900 kg solids/day)(0.25)(0.655) = 147.4 kg VSS removed

    Lower estimate of biogas production: (0.75 biogas / kg VSS removed)(147.4 kg VSS removed) = 111 m3

    biogas

    Upper estimate of biogas production: (1.12 biogas / kg VSS removed)(147.4 kg VSS removed) = 165 m3

    biogas

    Lower estimate of methane production: (110.6 m3biogas)(0.6) = 66 m3methane

    Upper estimate of methane production: (165.1 m3biogas)(0.6) = 99 m3methane

    Method #2 calculations: Chen & Hashimoto equation

    Methane production rate:

    Methane production:

    Biogas production:

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    CONCRETE CALCULATIONS

    WET ANAEROBIC DIGESTER

    WALL THICKNESS = 1.0ft

    BASE THICKNESS = 1.5ft

    DOME THICKNESS = .50ft

    RI= 3.5m = 11.5ft

    RO= (RI+ WALL THICKNESS) = 12.5ft

    RD= (RI+ DOME THICKNESS) = 12ft

    HDOME= 1.65ft H = 3m = 9.85ft

    CONCRETE BASE:

    CONCRETE WALLS:

    PROJECTED BOX DOME:

    EXCAVATION:

    CALCULATIONS FOR ONE DIGESTER

    TOTAL COSTS: (VIBRATED REINFORCED CONCRETECLASS 20/20)

    BASE (INCLUDES 150MM THICKNESS):

    EXTRA THICKNESS: WALLS: = $12,115.75

    EXCAVATION: = $760.33

    DIRT SPREAD: = $455.12

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    DRY ANAEROBIC DIGESTER

    STORAGE:

    WALL THICKNESS = 1.0ft

    BASE THICKNESS = 1.5ft

    PROJECTED DOME:

    DOME THICKNESS = .50ft

    L = 20m = 65.62ft

    H = 3m = 4.92ft

    STORAGE:

    CONCRETE BASE:

    2 FACES:

    2 SIDES:

    PROJECTED DOME:

    TOP:

    2 FACES:

    2 SIDES:

    TOTAL COSTS: (VIBRATED REINFORCED CONCRETE

    CLASS 30/20)

    BASE (INCLUDES 150MM THICKNESS):

    EXTRA THICKNESS:

    WALLS: = $6,739.59

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    STEEL BAR REINFORCEMENT CALCULATIONS

    BS 8110

    Table 3.1 strength of reinforcement

    Hot Rolled Mild Steel = 250 N/mm2

    Table 3.4 Nominal cover for all reinforcement

    Severe- 40mm (concrete surfaces exposed to severe rain, alternate wetting and

    drying or occasional freezing or severe condition)

    3.12.7.4 Horizontal bars for support of small amounts of compression

    reinforcement

    a) fy= 250 N/mm2: min. 0.30% of concrete area

    max. 2% of concrete area

    3.3.1.3 Nominal maximum size of aggregate

    Nominal cover > nominal max aggregate size

    For most work, 20mm aggregate is suitable (any larger and flow of concrete may becompromised)

    Table 3.28- Clear Distance between bars according to percentage redistribution

    Distance between primary rebar should not be below the greater of three times theaggregate size or 100mm

    Distance between secondary rebar should not be greater than 300mm

    3.12.11.2.7- Slab

    In no case should the clear spacing between bars exceed the lesser of three times theeffective depth or 750mm

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    Calculations- Primary Steel Rebar

    Dome- Number of primary steel rebar per m2

    Material:Hot Rolled Mild Steel = 250 N/mm2Reinforcement Ratio:1% (steel area to concrete area)

    Primary Steel Diameter: 10mmCover:40mm

    Asn=0.01A

    cr n=0.1*1m*0.1524m / ((0.005m)2

    )=19.35 ~ 20 rebar/m2

    100mm distance between rebar OK

    two rows, top and bottom, with 10 rebar per 1m row at a distance of 100mm betweeneach rebar

    Base- Number of primary steel rebar per m2

    Material:Hot Rolled Mild Steel = 250 N/mm2Reinforcement Ratio:1% (steel area to concrete area)Primary Steel Diameter: 10mmCover:40mm

    Asn=0.01A

    cr n=0.1*1m*0.4572m / ((0.005m)2 ) =58 ~ 60 rebar/m2

    33.3mm distance between rebar NOT OK100mm distance between rebar OK

    two rows, top and bottom, with 30 rebar per 1m row at a distance of 33.3mm betweeneach rebar is bellow minimum of 100mm requirement

    Wall- Number of primary steel rebar per m2

    Material:Hot Rolled Mild Steel = 250 N/mm2Reinforcement Ratio:1% (steel area to concrete area)Primary Steel Diameter: 10mmCover:40mm

    Asn=0.01A

    cr n=0.1*1m*0.3048m / ((0.005m)2 ) =38.8 ~ 40 rebar/m2

    50mm distance between rebar NOT OK100mm distance between rebar OK

    two rows, top and bottom, with 20 rebar per 1m row at a distance of 50mm between

    each rebar is bellow minimum of 100mm requirement

    Conclusion:

    Use Y10 100 for primary steel rebar on top and bottom

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    FIGURE 1CROSS SECTION OF CONCRETE DOM E

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    Calculations- Secondary Steel Rebar

    Dome- Number of secondary steel rebar per m2Material:Hot Rolled Mild Steel = 250 N/mm2Reinforcement Ratio:0.2% (steel area to concrete area)

    Primary Steel Diameter: 10mmCover:40mm

    Asn=0.002A

    cr n=0.002*1m*0.1524m / ((0.005m)2 )=3.8 ~ 4 rebar/m2

    500mm distance between rebar NOT OK250mm distance between rebar OK

    two rows with 2 rebar per 1m row would equate to a distance of 500mm between eachrebar. This is greater than the maximum distance of 300mm between each rebar. Thus use4 rebar per 1m row at a distance of 250mm between each rebar.

    Wall- Number of secondary steel rebar per m2Material:Hot Rolled Mild Steel = 250 N/mm2Reinforcement Ratio:0.2% (steel area to concrete area)Primary Steel Diameter: 10mmCover:40mm

    Asn=0.002A

    cr n=0.002*1m*0.3048m / ((0.005m)2 )=7.76 ~ 8 rebar/m2

    250mm distance between rebar OK

    two rows with 4 rebar per 1m row would equate to a distance of 250mm between eachrebar

    Wall- Number of secondary steel rebar per m2Material:Hot Rolled Mild Steel = 250 N/mm2Reinforcement Ratio:0.2% (steel area to concrete area)Primary Steel Diameter: 10mmCover:40mm

    Asn=0.002A

    cr n=0.002*1m*0.4572m / ((0.005m)2 ) =11.6 ~ 12 rebar/m2

    166.7mm distance between rebar OK

    two rows with 6 rebar per 1m row would equate to a distance of 166.7mm between each

    rebar

    Conclusion:

    Use Y10 100 primary steel rebar for top and bottom and Y10 250 for secondary steelrebar top and bottom.

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    Wet Anaerobic Digester- Amount of Steel Rebar

    Steel Density: 8050 kg/m3

    Total Concrete Volume: 20.85 + 21 + 8.13 = 49.98m3

    Primary Steel Rebar: 49.98 * 0.01 = 0.4998m3

    Secondary Steel Rebar: 499.98 * 0.002 = 0.09996m3

    Total Steel Rebar Volume: 0.4998 + 0.09996 = 0.6m3

    Total Steel Weight: 0.6 * 8050 = 4,828 kg

    Wet Anaerobic Digester- Cost of Steel Rebar

    Round Mild Steel Bars Reinforcement10 mm Diameter Bars: 140 shillings (USD $1.59) per kg

    4,828 * 1.59 = $7,676.63

    For one wet anaerobic digester the total amount of steel rebar in weight is 4,828 kg andthe total material cost for the steel rebar is $7,676.63

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    Dry Anaerobic Digester- Amount of Steel Rebar

    Steel Density: 8050 kg/m3

    Total Concrete Volume: 43.43 + 4.21 + 18.28 = 65.92m3

    Primary Steel Rebar: 65.92 * 0.01 = 0.6592m3

    Secondary Steel Rebar: 65.92 * 0.002 = 0.1318m3

    Total Steel Rebar Volume: 0.6592 + 0.1318 = 0.791m3

    Total Steel Weight: 0.791 * 8050 = 6,367.87 kg

    Dry Anaerobic Digester- Cost of Steel Rebar

    Round Mild Steel Bars Reinforcement10 mm Diameter Bars: 140 shillings (USD $1.59) per kg

    6,367.87 * 1.59 = $10,124.92

    For one dry anaerobic digester the total amount of steel rebar in weight is 6,36.87 kgand the total material cost for the steel rebar is $10,124.92

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    TEAM MEMBERS PAPER CONTRIBUTIONS

    Lance M. Langer contributed to the design team by meeting with

    faculty advisor Jeremy Guest and leading weekly design teammeetings from idea inception through the completion of this

    paper. Specifically, Lance completed the introduction, evaluation

    of alternatives and the calculations/costs of the wet and dry

    anaerobic digesters.

    LANCE M. LANGER

    Rahul Gogia contributed to the design team by attending and

    participating in weekly design team meetings from idea

    inception through the completion of this paper. Specifically,

    Rahul completed the gas production calculations and analysis.

    RAHUL GOGIA

    Amanda Caldwell-Jacques contributed to the design team by

    attending and participating in weekly design team meetings

    from idea inception through the completion of this paper.

    Specifically, Amanda reviewed and edited this paper to help it

    attain a more professional and coherent quality, in addition to

    assisting with Trimble SketchUp modeling and providing general

    support throughout the entire process.

    AMANDA CALDWELL-JACQUES

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    Bill Cheng contributed to the design team by attending and

    participating in weekly design team meetings

    from idea inception through the completion of this paper.

    Specifically, Bill completed all of the steel bar reinforcement

    calculations.

    BILL CHENG

    Reggie Jansen contributed to the design team by meeting with

    faculty advisor Jeremy Guest and participating in weekly design

    team meetings from idea inception through the completion of

    this paper. Specifically, Reggie assisted with biogas calculationsand completed the payback period and final recommendations.

    REGGIE JANSEN

    Other members of the team include Namrata Logishetty, Nick Domalewski, Joseph Chang and Theodore

    Chan.