Table I

Head in feet

Pressure pounds per square inch

1

.43

2

.86

3

1.30

4

1.73

5

2.16

6

2.59

7

3.03

8

3.46

9

3.89

10

4.33

11

4.76

12

5.20

13

5.63

14

6.06

15

6.49

16

6.92

17

7.36

18

7.79

19

8.22

20

8.66

21

9.09

22

9.53

23

9.96

24

10.39

25

10.82

26

11.26

27

11.69

28

12.12

29

12.55

30

12.99

31

13.42

32

13.86

33

14.29

34

14.72

35

15.16

36

15.59

37

16.02

38

16.45

39

16.89

40

17.32

41

17.75

42

18.19

43

18.62

44

19.05

45

19.49

Head in feet

Pressure pounds per square inch

46

9.92

47

20.35

48

20.79

49

21.22

50

21.65

51

22.09

52

22.52

53

22.95

54

23.39

55

23.82

56

24.26

57

24.69

58

25.12

59

25.55

60

25.99

61

26.42

62

26.85

63

27.29

64

27.72

65

28.15

66

28.58

67

29.02

68

29.45

69

29.88

70

30.32

71

30.75

72

31.18

73

31.62

74

32.05

75

32.48

76

32.92

77

33.35

78

33.78

79

34.21

80

34.65

81

35.08

82

35.52

83

35.95

84

36.39

85

36.82

86

37.25

87

37.68

88

38.12

89

38.55

90

38.98

Head in feet

Pressure pounds per square inch

91

39.42

92

39.85

93

40.28

94

40.72

95

41.15

96

41.58

97

42.01

98

42.45

99

42.88

100

43.31

101

43.75

102

44.18

103

44.61

104

45.05

105

45.48

106

45.91

107

46.34

108

46.78

109

47.21

110

47.64

111

48.08

112

48.51

113

48.94

114

49.38

115

49.81

116

50.24

117

50.68

118

51.11

119

51.54

120

51.98

121

52.41

122

52.84

123

53.28

124

53.71

125

54.15

126

54.58

127

55.01

128

55.44

129

55.88

130

56.31

131

56.74

132

57.18

133

57.61

134

58.04

135

58.48

Table II

Friction Loss in lb. per sq. in., per 100 ft. of Clean Iron Pipe of Sizes

Given, Together with Number Gallons Discharged per min., and Velocity of Flow of Water per sec.

GALLONS DISCHARGED

(per sines)

Velocity . (ft. per soc)

Friction Lose Ob.)

VELOCITY

(ft per sec.)

Friction Lou (lb.)

Velocity (ft. per sec )

Friction Lou (lb.)

VELOCITY

(ft. per sec.)

Friction Loss (lb.)

VELOCITY

(ft. per sec.)

Friction Lou (lb)

Velocity (ft. per sec.)

Friction Leas (lb.)

Cals. Discmaeosp (per sain.)

1/2 -IN. PIPE

4+in. Pipe

ton. Pipe

1 1/2-IN. Pipe

1 1/2-IN. Pipe

2-IN. Pipe

6

8.17

24.6

3.63

3.3

2.04

0.84

1.31

0.31

0.91

0.12

5

10

16.30

96.0

7.25

13.0

4.08

3.16

2.61

1.05

1.82

0.47

1.02

0.12

10

15

...........

.....

10.90

28.7

6 13

6.98

3 92

2.38

2.73

0.97

15

20

...........

...

14.50

50.4

8.17

12.3

5.22

4.07

3.63

1.66

2.04

6.42

20

25

...........

...........

18.10

78.0

10.20

19.0

6.53

6.40

4.54

2.62

..........

..........

25

30

...........

...........

...........

...........

12.30

27.50

7.84

9.15

5.45

3.75

3.06

0.91

30

35

...........

...........

...........

...........

14.30

37.0

9.14

12.40

6.36

5.05

....

....

35

40

...........

...........

...........

...........

16.30

48.0

10.40

16.10

7.26

6.52

4.09

1.60

40

45

...........

...........

...........

...........

...........

...........

11.70

20.20

8.17

8.15

....

....

45

50

...........

...........

...........

...........

...........

...........

13.10

24.90

9.08

10.00

5.11

2.44

50

75

...........

...........

...........

...........

...........

...........

19.60

56.10

13 60

22 40

7.66

5.32

75

100

...........

...........

...........

...........

...........

...........

...........

...........

18.20

39.00

10.20

9.46

100

125

...........

...........

...........

...........

...........

...........

...........

...........

..........

..........

12.80

14.90

125

150

...........

...........

...........

...........

...........

...........

...........

...........

....

..........

15.30

21.20

150

175

...........

...........

...........

...........

...........

...........

...........

...........

..........

..........

17.10

28.10

175

200

...........

...........

...........

...........

...........

...........

...........

............

..........

..........

20.40

37.50

200

2 1/2-IN. PIPE

3-in. Pipe

4-IN. PlPE

6-IN. Pipe

8-in. Pipe

10-IN. Pipe

25

1.63

0.21

1.13

0.10

...........

...........

...........

...........

...........

...........

...........

...........

25

50

3.26

0.81

2.27

0.35

1. 28

0.09

...........

...........

...........

...........

...........

...........

50

75

4.90

1.80

3.40

0.74

...........

...........

...........

...........

...........

...........

...........

...........

75

100

6.53

3 20

4.54

1.31

2.55

6.33

1.13

0.05

...........

...........

...........

...........

100

125

8.16

4.89

5.67

1.99

...........

...........

...........

....

...........

...........

...........

...........

125

150

9.80

7.00

6.81

2.85

3.83

0.69

1.70

0.10

...........

...........

...........

...........

150

175

11.40

9 46

7.94

3 85

...........

...........

...........

...........

...........

...........

...........

...........

175

200

13.10

12.47

9.08

5.02

5.11

1.22

2.27

0.17

...........

...........

...........

...........

200

250

16.30

19.66

11.30

7.76

6 39

1.89

2.84

0.26

1.59

0. 07

1.02

0.03

250

300

19.60

28.06

13.60

11.20

7.66

2.66

3.40

0.37

...........

...........

...........

...........

300

350

...........

...........

15.90

15 20

8.94

3.65

3.97

0.50

...........

...........

...........

...........

350

400

...........

..........

18.20

19.50

10.20

4.73

4.54

0.65

...........

...........

...........

...........

400

450

...........

...........

20 40

25 00

11.50

6.01

5.11

0.81

...........

...........

...........

...........

450

500

...........

...........

22.70

30.80

12.80

7.43

5 67

0.98

3.19

0.25

2.04

0.09

500

750

...........

...........

...........

...........

...........

...........

8.51

2 21

4 79

0.53

3.06

0.18

750

1000

...........

...........

...........

...........

...........

...........

11.30

3.88

6.38

0.94

4.08

0.32

1000

1250

...........

...........

...........

...........

...........

...........

...........

...........

7.97

1.46

5.10

0.49

1250

1500

...........

...........

...........

...........

...........

...........

...........

...........

9.57

2. 09

6.12

0.70

1500

1750

...........

...........

...........

...........

...........

...........

...........

...........

...........

...........

7.15

0.95

1750

2000

...........

...........

...........

...........

...........

...........

...........

...........

...........

...........

8.17

1.23

2000

The friction due to fittings is generally taken to equal straight additional pipe for each as follows: 90° ells, 40 diameters; pipe entering tee, 60 diameters; pipe entering coupling, 20 diameters, and, interposing a globe valve, 60 diameters.

Examples, A l 1/2-inch pipe 100 feet long connected with a cistern is to discharge 35 gallons per minute. At what elevation above the end of the pipe must the surface of the water in the cistern be to produce this flow?

In Table II we find the friction loss for a 1 1/2-inch pipe discharging 35 gallons per minute to be 5.05 pounds. In Table I we find a pressure of 5.2 pounds corresponds to a head of 12 feet, which is approximately the elevation required.

How many gallons will be discharged through a 2-inch pipe 100 feet long where the inlet is 22 feet above the outlet? In Table I we find a head of 22 feet corresponds to a pressure of 9.53 pounds. Then, looking in Table II, we find in the column of Friction Loss for a 2-inch pipe that a pressure of 9.46 corresponds to a discharge of 100 gallons per minute.

Tables I and II are commonly used together in examples.

A house requiring a maximum of 10 gallons of water per minute is to be supplied from a spring which is located 600 feet distant, and at an elevation of 50 feet above the point of discharge. What size of pipe will be required? From Table I we find an elevation or head of 50 feet will produce a pressure of 21.65 pounds per square inch. Then 'if the length of the pipe were only 100 feet, we should have a pressure of 21.65 pounds available to overcome the friction in the pipe, and could follow along the line corresponding to 10 gallons in TableII until we came to the friction loss corresponding most nearly to 21.65, and take the size of pipe corresponding. But as the length of the pipe is 600 feet, the friction loss will be six times that given in Table II for given sizes of pipe and rates of flow; hence we must divide 21.65 by 6 to obtain the available head to overcome friction, and look for this quantity in the table, 21.65÷6=3.61, and Table II shows us that a 1-inch pipe will discharge 10 gallons per minute with a friction loss of 3.16 pounds, and this is the size we should use.

Examples For Practice

1. What size pipe will discharge 40 gallons per minute, a distance of 50 feet, with a pressure head of 19 feet?Ans. 1 1/4-inch gallons, multiplication by the decimal may be omitted, and dividing by 294 instead of 231 will then give the same result.

2. What head will be required to discharge 100 gallons per minute through a 2 1/2-inch pipe 700 feet long? Ans. 52 feet

In calculating the contents of pipes, cylinders, and cisterns, where it is usual to correct the area found as a result of squaring the diameter by multiplying by .7854, before dividing by 231 for U. S.