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Dsgn.pop
ulation
Per capita
demand
(lpcd)
Average
water
demand
(m3/d)
Max. daily
dema
(m3/d)
nd
Peak
hourly
demand
(m3/d)
Chx for fire
demand
Fire demand
(m3/d)
Dsn flow
(water
distributi
on
system)
22000 600 6 storey
building
with
a)Ordinary
constructio
n b)wood
constructio
n (Each
floor
area=1000
m2. )
55000 170
120000 610
Q.1 Estimate the water requirement for the following communities
Numerical 2
(Water Demand)
Design
population
Per
capita
demand
(lpcd)
Average
water
demand
(m3/d)
Max.
daily
demand
(m3/d)
Peak
hourly
demand
(m3/d)
Chx for fire
demand
Max
daily+
Fire
demand
(m3/d)
ordinary
Max
daily+
Fire
deman
d
(m3/d)
wood
22000 600 13200 19800 29700 6 storey
building with
a)Ordinary
b)wood
construction
(Each floor
area=1000
m2)
30172.47 35358.7
55000 170 9350 14025 21037.5 24397.47 29583.7
120000 610
73200 109800 164700 120172.5 125358.7
Q.1Estimate the water requirement for the following communities
Fire demand =17287.45 l/min=10372.5 m3/day(ordinary)
=25931.17l/min= 15558.7 m3/day (wood)
Numerical 3
(Water demand)
3 storey wooden-frame building has each floor area
• a)900 m2
• b)700m2
• c)400m2
Determine fire flow and total daily amount of fire flow for
maximum duration of fire flow .
Solution problem 3
floor area
per
storey(m2) floors
total
area(m2)
fire demand
wood(litres/
min)
daily fire
demand(m3
/day)
900 3 2700 17395.16 10437.1
700 3 2100 15341.09 9204.653
400 3 1200 11596.77 6958.064
Predict the population for the years 1981, 1991,
1994, and 2001 from the following census figures of
a town by different methods.
Year Population:
(thousands)
Arithmatic
Increment per year
Geometric Increment per
year
1901 60 - -
1911 65
1921 63
1931 72
1941 79
1951 89
1961 97
1971 120
Averages -
Numerical 4
(Population Forecasting)
Problem: Predict the population for the years 1981,
1991, 1994, and 2001 from the following census
figures of a town by different methods.
Year Population:
(thousands)
Arithmatic
Increment per year
geometric Increment per
year
1901 60 - -
1911 65 0.5 0.008004
1921 63 -0.2 -0.00313
1931 72 0.9 0.013353
1941 79 0.7 0.009278
1951 89 1 0.011919
1961 97 0.8 0.008607
1971 120 2.3 0.021278
Averages 0.857143 0.009902
-
Solution problem 1
year PO tf-to Kar
Pf
(arithmet
ic) Kgeo
Pf
(Geometric)
1981 120 10 0.857 129 0.0099 132.491
1991 120 20 0.857 137 0.0099 146.282
2001 120 30 0.857 146 0.0099 161.508
1994 120 23 0.857 140 0.0099 150.692
For arithmetic growth method : Pf = PO + K(tf-to)
Average increases per year =K = 0.857
Population for the years,
1981= population 1971 + K(tf-to) = 120 + 8.57 = 128.57
For geometric growth method : Pf = POe Kn; Where n=(tf-to)
Average increases per year =K = 0.0099
Population for the years,
1981= Population 1971 x eKn = 120 x eKn =132.5 (n = 10)
Numerical 5
(Population forecasting)
• A city had a population of 210000 in 1991 and
240000 in 2001.If the city is assumed to follow
arithmetic rate of growth find the population
of the city in 2018
• Present (2009) population of city is 1350000
and it is expected to grow at a uniform rate of
3% per annum. Find its population in 2033
Numerical 6
Population Forecasting
Year Populatio
n
Average
Increme
nt /yr
Geometr
ic
Increme
nt /yr
1970 30000
1980 40000
1990 62000
2000 67000
Avg
Year Population Average
Increme
nt /yr
Geometr
ic
Increme
nt /yr
1950 8000
1960 8990
1970 11300
1980 14600
1990 18400
Avg
Estimate population for 2015 and 2048 in both of the cases
A B
Population estimate
Year Populatio
n
Average
Increme
nt /yr
Geometr
ic
Increme
nt /yr
1970 30000
1980 40000 1000 0.028768
1990 62000 2200 0.043825
2000 67000 500 0.007756
Avg 1233.333 0.026783
Year Population Average
Increme
nt /yr
Geometr
ic
Increme
nt /yr
1950 8000
1960 8990 99 0.011667
1970 11300 231 0.022869
1980 14600 330 0.025622
1990 18400 380 0.023133
Avg 313.6667 0.023875
Problem 1 Problem 2
year
number of
years
arithmetic
growth
geomtric
growth
solution problem 1 2015 15 85500 100127.1
2048 48 126200 242326.3
solution problem 2 2015 25 26241.7 33422.04
2048 58 36592.7 73484.69
Problem 2
(Sources of water)
A small community had a population of 65000
and 85000 in the year of 1995 and 2005
respectively. Assuming a geometric growth
rate and an average WC of 300lit/cap/day.
Calculate the design flow for the treatment
plant and the transmission main from
current year. Select an appropriate value for
design period.
• P1995 =65000 , P2005=85000,
• Pf = POe Kn =85000= 65000x(e10K)
K=0.0268person/yr
For transmission main design period=25 yrs(design yr=2037)
Treatment plant =15 yrs(design yr=2027)
Pf (transmission main)= 85000x(e0.0268x(2037-2005))=200387.15
Pf (treatment plant)= 85000x(e0.0268x(2027-2005))=153277.7
Max daily WC=1.5x300=450Lit/capita/day
Capacity for transmission mains= 200387.15 x450=90174.2m3/day
Capacity for treatment plant = 153277.7 x450=68974.96m3/day
Solution Problem 2
Problem 3
(Sources of wtaer)
• The present population of a community is
160000 increasing at a geometric growth
rate of 0.043 per yr. The present water
requirement of the community are fully
met by a number of tube wells installed in
the city. The average WC is 350l/c/d using a
design period of 15 yrs. Calculate the
number of additional tube-wells of
3.4m3/min capacity to meet the demand of
design period.
Solution problem 3
Avg WC=350l/c/d; design period=15yrs
Present population=Po=160000;K=0.043
Pf = POe Kn =160000X(e0.043x15)=304957.92
Additional poulation=304957.92-160000=144957.92
Total WC= 350x144957.92=50735272l/d=50735.2m3/day
Tubewell capacity=3.4x60x24=4896m3/day
With storage/ overhead reservoir(OHR)
max. Daily WC=1.5x50735.2=76102.9m3/day
Total no. of tube wells=76102.9/4896=15.5≈16
No overhead reservoir(OHR)
Peak hourly flow=2.25x50735.2=114154.4m3/day
Total no. of tubewells wells=114154.4/4896=23.3≈24

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water demand Problems and solutions

  • 1. Dsgn.pop ulation Per capita demand (lpcd) Average water demand (m3/d) Max. daily dema (m3/d) nd Peak hourly demand (m3/d) Chx for fire demand Fire demand (m3/d) Dsn flow (water distributi on system) 22000 600 6 storey building with a)Ordinary constructio n b)wood constructio n (Each floor area=1000 m2. ) 55000 170 120000 610 Q.1 Estimate the water requirement for the following communities Numerical 2 (Water Demand)
  • 2. Design population Per capita demand (lpcd) Average water demand (m3/d) Max. daily demand (m3/d) Peak hourly demand (m3/d) Chx for fire demand Max daily+ Fire demand (m3/d) ordinary Max daily+ Fire deman d (m3/d) wood 22000 600 13200 19800 29700 6 storey building with a)Ordinary b)wood construction (Each floor area=1000 m2) 30172.47 35358.7 55000 170 9350 14025 21037.5 24397.47 29583.7 120000 610 73200 109800 164700 120172.5 125358.7 Q.1Estimate the water requirement for the following communities Fire demand =17287.45 l/min=10372.5 m3/day(ordinary) =25931.17l/min= 15558.7 m3/day (wood)
  • 3. Numerical 3 (Water demand) 3 storey wooden-frame building has each floor area • a)900 m2 • b)700m2 • c)400m2 Determine fire flow and total daily amount of fire flow for maximum duration of fire flow .
  • 4. Solution problem 3 floor area per storey(m2) floors total area(m2) fire demand wood(litres/ min) daily fire demand(m3 /day) 900 3 2700 17395.16 10437.1 700 3 2100 15341.09 9204.653 400 3 1200 11596.77 6958.064
  • 5. Predict the population for the years 1981, 1991, 1994, and 2001 from the following census figures of a town by different methods. Year Population: (thousands) Arithmatic Increment per year Geometric Increment per year 1901 60 - - 1911 65 1921 63 1931 72 1941 79 1951 89 1961 97 1971 120 Averages - Numerical 4 (Population Forecasting)
  • 6. Problem: Predict the population for the years 1981, 1991, 1994, and 2001 from the following census figures of a town by different methods. Year Population: (thousands) Arithmatic Increment per year geometric Increment per year 1901 60 - - 1911 65 0.5 0.008004 1921 63 -0.2 -0.00313 1931 72 0.9 0.013353 1941 79 0.7 0.009278 1951 89 1 0.011919 1961 97 0.8 0.008607 1971 120 2.3 0.021278 Averages 0.857143 0.009902 -
  • 7. Solution problem 1 year PO tf-to Kar Pf (arithmet ic) Kgeo Pf (Geometric) 1981 120 10 0.857 129 0.0099 132.491 1991 120 20 0.857 137 0.0099 146.282 2001 120 30 0.857 146 0.0099 161.508 1994 120 23 0.857 140 0.0099 150.692 For arithmetic growth method : Pf = PO + K(tf-to) Average increases per year =K = 0.857 Population for the years, 1981= population 1971 + K(tf-to) = 120 + 8.57 = 128.57 For geometric growth method : Pf = POe Kn; Where n=(tf-to) Average increases per year =K = 0.0099 Population for the years, 1981= Population 1971 x eKn = 120 x eKn =132.5 (n = 10)
  • 8. Numerical 5 (Population forecasting) • A city had a population of 210000 in 1991 and 240000 in 2001.If the city is assumed to follow arithmetic rate of growth find the population of the city in 2018 • Present (2009) population of city is 1350000 and it is expected to grow at a uniform rate of 3% per annum. Find its population in 2033
  • 9. Numerical 6 Population Forecasting Year Populatio n Average Increme nt /yr Geometr ic Increme nt /yr 1970 30000 1980 40000 1990 62000 2000 67000 Avg Year Population Average Increme nt /yr Geometr ic Increme nt /yr 1950 8000 1960 8990 1970 11300 1980 14600 1990 18400 Avg Estimate population for 2015 and 2048 in both of the cases A B
  • 10. Population estimate Year Populatio n Average Increme nt /yr Geometr ic Increme nt /yr 1970 30000 1980 40000 1000 0.028768 1990 62000 2200 0.043825 2000 67000 500 0.007756 Avg 1233.333 0.026783 Year Population Average Increme nt /yr Geometr ic Increme nt /yr 1950 8000 1960 8990 99 0.011667 1970 11300 231 0.022869 1980 14600 330 0.025622 1990 18400 380 0.023133 Avg 313.6667 0.023875 Problem 1 Problem 2 year number of years arithmetic growth geomtric growth solution problem 1 2015 15 85500 100127.1 2048 48 126200 242326.3 solution problem 2 2015 25 26241.7 33422.04 2048 58 36592.7 73484.69
  • 11. Problem 2 (Sources of water) A small community had a population of 65000 and 85000 in the year of 1995 and 2005 respectively. Assuming a geometric growth rate and an average WC of 300lit/cap/day. Calculate the design flow for the treatment plant and the transmission main from current year. Select an appropriate value for design period.
  • 12. • P1995 =65000 , P2005=85000, • Pf = POe Kn =85000= 65000x(e10K) K=0.0268person/yr For transmission main design period=25 yrs(design yr=2037) Treatment plant =15 yrs(design yr=2027) Pf (transmission main)= 85000x(e0.0268x(2037-2005))=200387.15 Pf (treatment plant)= 85000x(e0.0268x(2027-2005))=153277.7 Max daily WC=1.5x300=450Lit/capita/day Capacity for transmission mains= 200387.15 x450=90174.2m3/day Capacity for treatment plant = 153277.7 x450=68974.96m3/day Solution Problem 2
  • 13. Problem 3 (Sources of wtaer) • The present population of a community is 160000 increasing at a geometric growth rate of 0.043 per yr. The present water requirement of the community are fully met by a number of tube wells installed in the city. The average WC is 350l/c/d using a design period of 15 yrs. Calculate the number of additional tube-wells of 3.4m3/min capacity to meet the demand of design period.
  • 14. Solution problem 3 Avg WC=350l/c/d; design period=15yrs Present population=Po=160000;K=0.043 Pf = POe Kn =160000X(e0.043x15)=304957.92 Additional poulation=304957.92-160000=144957.92 Total WC= 350x144957.92=50735272l/d=50735.2m3/day Tubewell capacity=3.4x60x24=4896m3/day With storage/ overhead reservoir(OHR) max. Daily WC=1.5x50735.2=76102.9m3/day Total no. of tube wells=76102.9/4896=15.5≈16 No overhead reservoir(OHR) Peak hourly flow=2.25x50735.2=114154.4m3/day Total no. of tubewells wells=114154.4/4896=23.3≈24

Editor's Notes

  1. 6 storey building with a)Ordinary construction b)wood construction (Each floor area=1000 m2. )
  2. 6 storey building with a)Ordinary construction b)wood construction (Each floor area=1000 m2. )