PIPING MATH

This section will profile formulas that can help you when working with pipes. Rather than talk about them, let’s look at them.

What plumber hasn’t had to figure the grading for a drainage pipe? De­termining the amount of fall needed for a drainpipe over a specified distance is no big mystery. Yet, I’ve known good plumbers who had trouble with cal­culating the grade of their pipes. In fact, some of them were so unsure of themselves that they started at the end of their runs and worked backwards, to the beginning, to insure enough grade. Not only is this more difficult and

Подпись: ✓ fast code fact As a rule of thumb, most codes require a minimum of one-quarter of an inch per foot of fall for drainage piping. There are exceptions. For example, large-diameter pipes may be installed with a minimum grade of one-eighth of an inch per foot. Too much grade is as bad as too little grade. A pipe with excessive grade will empty liquids before solids have cleared the pipe. Maintain a constant grade within the confines of your local plumbing code. time consuming, there is still no guar­antee that there will be enough room for the grade. Knowing how to figure the grade, fall, pitch, or whatever you want to call it, for a pipe is essential in the plumbing trade. And, it’s not diffi­cult. Let me show you what I mean.

Подпись: The capacity of pipes is as the square of their diameters. Thus, doubling the diameter of a pipe increases its capacity four times. The area of a pipe wall may be determined by the following formula: Area of pipe wall = 0.7854 x [Co.d. x o.d.) - (i.d. x i.d. )|

In a simple way of putting it, as­sume that you are installing a pipe that is 20 feet long and that will have a grade of V4-inch per foot. What will the drop from the top of the pipe be from one end to the other? At a grade of V-t-inch per foot, the pipe will drop one inch for every four feet it travels. A 20-foot piece of pipe will require a 5- inch drop in the scenario described. By dividing 4 into 20, I got an answer of 5, which is the number of inches of drop. That’s my simple way of doing it,

Подпись: The approximate weight of a piece of pipe may be determined by the following for-mulas: Cast-iron pipe: weight = (A- - BA x length x 0.2042 Steel pipe: weight = (A2 - B2) x length x 0.2199 Copper pipe: weight = (A2 - В2) x length x 0.2537 A = outside diameter of the pipe in inches В = inside diameter of the pipe in inches

FIGURE 1.6 ■ Piping. (Courtesy of McGraw-Hill)

FIGURE 1.7 ■ Determining pipe weight. (Courtesy of McGraw-Hill)

Подпись: The formula for calculating expansion or contraction in plastic piping is: T v T - F L L = Y x x 10 100
Подпись: L = expansion in inches Y = constant factor expressing inches of expansion per 100°F temperature change per 100 ft of pipe T = maximum temperature (°F) F = minimum temperature (°F) L = length of pipe run in feet

FIGURE 1.8 ■ Expansion in plastic piping. (Courtesy of McGraw-Hill)

The formulas for pipe radiation of heat are as follows:

PIPING MATH

D = outside diameter (OD) of pipe L = length of pipe needed in feet R = square feet of radiation needed

FIGURE 1.9 ■ Formulas for pipe radiation of heat. (Courtesy of McGraw-Hill)

but now let me give you the more proper way of doing it with a more so­phisticated formula.

If you are going to use the math formula, you must know the terms asso­ciated with it. Run is the horizontal distance that the pipe you are working with will cover, and this measurement is shown as the letter R. Grade is the slope of the pipe and is figured in inches per foot. To define grade in a for­mula, the letter G is used. Drop is the amount down from level or in more plumber-friendly words, it’s the difference in height from one end of the pipe to the other. As you might guess, drop is known by the letter D. Now let’s put this into a formula. To determine grade with the formula above, you would be looking at something like this: D = G X R. If you know some of the vari­ables, you can find the rest. For example, if you know how far the pipe has to run and what the maximum amount of drop can be, you can determine the grade. When you know the grade and the length of the run, you can deter­mine the drop. I already showed you how to find the drop if you know grade and run numbers. So, let’s assume an example where you know that the drop is 15 inches and the run is 60 feet, what is the grade? To find the answer, you divide the drop by the run, in this case you are dividing 15 by 60. The answer is.25 or V4-inch per foot of grade.

PIPING MATH

TEMPERATURE TIPS

 

Let me give you a few illustrations here that will help you deal with tempera­tures, heat loss, and mixing temperatures.

 

Temperature may be expressed according to the Fahrenheit (F) scale or the Celsius (Cl scale. To convert rC to °F or F to C, use the following formulas:

F = 1.8 x C * 32 C = 0.55555555 x ‘F — 32 ■C = F — 32 1.8

F = ( . x 1.8 + 32

 

FIGURE 1.10 ■ Temperature conversion. (Courtesy of McGraw-Hill)

 

To figure the Anal temperature when two different temperatures of water are mixed together, use the following formula:

(A x C) s — (B x D)

A В

A = weight of lower temperature water В = weight of higher temperature water C = lower temperature D = higher temperature

 

FIGURE 1.11 ■ Computing water temperature. (Courtesy of McGraw-Hill)

 

Radiation

3 ft of 1-in. pipe equal 1 ft" R.

2’Li lineal ft of 1’/ i-in. pipe equal 1 ft" R.

Hot water radiation gives off 150 Btu/ft- R/hr. Steam radiation gives off 240 Btu/ft — R/hr.

On greenhouse heating, figure ~/л ft ‘ R/fC glass.

1 ft“ of direct radiation condenses 0.25 lb water/hr.

 

-100°-30°

QC

Base temperature

-73

-100

-148

-68

-90

-130

-62

-80

-112

-57

-70

-94

-51

-60

-76

-46

-50

-58

-40

-40

-40

-34.4

-30

-22

-28.9

-20

-4

-23.3

-10

14

-17.8

0

32

-17.2

1

33.8

-16.7

2

35.6

-16.1

3

37.4

-15.6

4

39.2

-15.0

5

41.0

-14.4

6

42.8

-13.9

7

44.6

-13.3

8

46.4

-12.8

9

48.2

-12.2

10

50.0

-11.7

11

51.8

-11.1

12

53.6

-10.6

13

55.4

-10.0

14

57.2

ЗГ-7Г

°С

Base temperature

°F

-0.6

31

87.8

0

32

89.6

0.6

33

91.4

1.1

34

93.2

1.7

35

95.0

2.2

36

96.8

2.8

37

98.6

3.3

38

100.4

3.9

39

102.2

4.4

40

104.0

5.0

41

105.8

5.6

42

107.6

PIPING MATH

FIGURE 1.14 ■ Boiling points of water based on pressure. (Courtesy of McGraw-Hill)

Updated: 11 ноября, 2015 — 7:08 пп