CHAPTER V DESIGN OF SEWERAGE SYSTEMS

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41. The Plan.—Good practice demands that a comprehensive plan for a sewerage system be provided for the needs of a community for the entire extent of its probable future growth, and that sewers be constructed as needed in accordance with this plan.

Sewerage systems may be laid out on any one of three systems: separate, storm, or combined. A separate system of sewers is one in which only sanitary sewage or industrial wastes or both are allowed to flow. Storm sewers carry only surface drainage, exclusive of sanitary sewage. Combined sewers carry both sanitary and storm sewage. The use of a combined or a separate system of sewerage is a question of expediency. Portions of the same system may be either separate, combined, or storm sewers.

Some conditions favorable to the adoption of the separate system are where:

a. The sanitary sewage must be concentrated at one outlet, such as at a treatment plant, and other outlets are available for the storm drainage.

b. The topography is flat necessitating deep excavation and steeper grades for the larger combined sewers.

c. The sanitary sewers must be placed materially deeper than the necessary depth for the storm-water drains.

d. The sewers are to be laid in rock, necessitating more difficult excavation for the larger combined sewers.

e. An existing sewerage system can be used to convey the dry weather flow, but is not large enough for the storm sewage.

f. The city finances are such that the greater cost of the combined system cannot be met and sanitary drainage is imperative.

g. The district to be sewered is an old residential section where property values are not increasing and the assessment must be kept down.

Some additional points given in a report by Alvord and Burdick to the city of Billings, Montana, are:

The separate system of sewerage should be used, where:

1st. Storm water does not require extensive underground removal, or where it can be concentrated in a few shallow underground channels.

2nd. Drainage areas are short and steep facilitating rapid flow of water over street surfaces to the natural water courses.

3rd. The sanitary sewage must be pumped.

4th. Sewers are being built in advance of the city’s development to encourage its growth.

5th. The existing sewer is laid at grades unsuitable for sanitary sewage, it can be used as a storm sewer.

A combined system must be relatively larger than a separate storm sewer as the latter may overflow on exceptional occasions, but the former never.

A combined system of sewerage should be used where:

1st. It is evident that storm and sanitary sewerage must be provided soon.

2nd. Both sanitary and storm sewage must be pumped.

3rd. The district is densely built up.

42. Preliminary Map.—The first step in the design of a sewerage system is the preparation of a map of the district to be served within the limits of its probable growth. The map should be on a scale of at least 200 feet to the inch in the built up sections or other areas where it is anticipated that sewers may be built, and where much detail is to be shown a scale as large as 40 feet to the inch may have to be used. The adoption of so large a scale will usually necessitate the division of the city or sewer district into sections. A key map should be drawn to such a scale that the various sections represented by separate drawings can all be shown upon it. In preparing the enlarged portions of the map it is not necessary to include these portions of the city in which it is improbable that sewers will be constructed, such as parks and cemeteries.

The contour interval should depend on the character of the district and the slope of the land. In those sections drawn to a scale of 200 feet to the inch for slopes over 5 per cent, the contour interval need not be closer than 10 feet. For slopes between 1 and 5 per cent the contour interval should be 5 feet. For flatter slopes the interval should not exceed 2 feet, and a one foot interval is sometimes desirable. In general the horizontal distances between contours should not exceed 400 feet and they should be close enough to show important features of the natural drainage. Elevations should also be given at street intersections, and at abrupt changes in grade. For portions of the map on a smaller scale the contours need be sufficiently close to show only the drainage lines and the general slope of the land.

The following may be shown on the preliminary map: the elevation of lots and cellars; the character of the built up districts, whether cheap frame residences, flat-roof buildings, manufacturing plants, etc.; property lines; width of streets between property lines and between curb lines; the width and character of the sidewalks and pavements; street car and railroad tracks; existing underground structures such as sewers, water pipes, telephone conduits, etc.; the location of important structures which may have a bearing on the design of the sewers such as bridges, railroad tunnels, deep cuts, culverts, etc.; and the location of possible sewer outlets and the sites for sewage disposal plants.

Fig. 24 shows a preliminary map for a section of a city, on which the necessary information has been entered. The map is made from survey notes. All streets are paved with brick. The alleys are unpaved. The entire section is built up with high-class detached residences averaging one to each lot. The lots vary from 1 to 3 feet above the elevation of the street.

43. Layout of the Separate System.—Upon completion of the preliminary map a tentative plan of the system is laid out. The lines of the sewer pipe are drawn in pencil, usually along the center line of the street or alley in such a manner that a sewer will be provided within 50 feet or less of every lot. The location of the sewers should be such as to give the most desirable combination of low cost, short house connections, proper depth for cellar drainage, and avoidance of paved streets. Some dispute arises among engineers as to the advisability of placing pipes in alleys, although there is less opposition to so placing sewers than any other utility conduit. The principal advantage in placing sewers in alleys is to avoid disturbing the pavement of the street, but if both street and alley are paved it is usually more economical to place the sewer in the street as the house connections will be shorter. On boulevards and other wide streets such as Meridian Avenue in Fig. 24, the sewers are placed in the parking on each side of the street, rather than to disturb the pavement and lay long house connections to the center of the street.

All pipes should be made to slope, where possible, in the direction of the natural slope of the ground. The preliminary layout of the system is shown in Fig. 24. The lowest point in the portion of the system shown is in the alley between Alabama and Tennessee Streets. The flow in all pipes is towards this point, and only one pipe drains away from any junction, except that more than one pipe may drain from a terminal manhole on a summit.

44. Location and Numbering of Manholes.—Manholes are next located on the pipes of this tentative layout. Good practice calls for the location of a manhole at every change in direction, grade, elevation, or size of pipe, except in sewers 60 inches in diameter or larger. The manholes should not be more than 300 to 500 feet apart, and preferably as close as 200 to 300 feet. In sewers too small for a man to enter the distance is fixed by the length of sewer rods which can be worked successfully. In the larger sewers the distances are sometimes made greater but inadvisedly so, since quick means of escape should be provided for workmen from a sudden rise of water in the sewer, or the effect of an asphyxiating gas. In the preliminary layout the manholes are located at pipe intersections, changes in direction, and not over 300 to 500 feet apart on long straight runs at convenient points such as opposite street intersections where other sewers may enter.

No standard system of manhole numbering has been adopted. A system which avoids confusion and is subject to unlimited extension is to number the manholes consecutively upwards from the outlet, beginning a new series of numbers prefixed by some index number or letter for each branch or lateral. This system has been followed with the manholes on Fig. 24.

Fig. 24.—Typical Map Used in the Design of a Separate Sewer System.

Fig. 25.—Typical Map Used in the Design of a Storm Sewer System.

45. Drainage Areas.—The quantity of dry weather sewage is determined by the population rather than the topography. Lot lines and street intersections or other artificial lines marking the boundaries between districts are therefore taken as watershed lines for sanitary sewers. The quantity of sewage to be carried and the available slope are the determining factors in fixing the diameter of the sewer. Since there may be no change in diameter or slope between manholes the quantity of sewage delivered by a sewer into any manhole will determine the diameter of the sewer between it and the next manhole above. In order to determine the additional amount contributed between manholes a line is drawn around the drainage area tributary to each manhole. This line generally follows property lines and the center lines of streets or alleys, its position being such that it includes all the area draining into one manhole, and excludes all areas draining elsewhere. An entire lot is usually assumed to lie within the drainage area into which the building on the lot drains. In laying out these areas it is best to commence at the upper end of a lateral and work down to a junction. Then start again at the upper end of another lateral entering this junction, and continue thus until the map has been covered.

The areas are given the same numbers as the manholes into which they drain. The dividing lines for the drainage areas on Fig. 24 are shown as dot and dash lines, and the areas enclosed are appropriately numbered. If more than one sewer drains into the same manhole the area should be subdivided so that each subdivision encloses only the area contributing through one sewer. Such a condition is shown at manhole C2. The areas are designated by subletters or symbols corresponding to the symbol used for the sewer into which they drain. For example, the two areas contributing to manhole C2 are lettered C2K and C2D. The sewer from manhole C3 to C2 receives no addition, it being assumed that all the lots adjacent to it drain into the sewer on the alley. There is therefore no area C2. Likewise there is no area A1C.

46. Quantity of Sewage.—The remaining work in the computation of the quantity of sewage is best kept in order by a tabulation. Table 19 shows the computations for the sewers discharging from the east into manhole No. 142. The computation should begin at the upper end of a lateral, continue to a junction, and then start again at the upper end of another lateral entering this junction. Each line in the table should be filled in completely from left to right before proceeding with the computations on the next line. In the illustrative solution in Table 19, computations for quantity have not been made between manholes where it was apparent that there would be an insufficient additional quantity to necessitate a change in the size of the pipe.

In making these computations the assumptions of quantity and other factors given below indicate the sort of assumptions which must be made, based on such studies as are given in Chapter III. The density of population was taken as 20 persons per acre, the assumption being based on the census and the character of the district. The average sanitary sewage flow was taken as 100 gallons per capita per day. The per cent which the maximum dry weather flow is of the average was taken as M = 500
P?
, in which P is the population in thousands. The per cent is not to exceed 500 nor to be less than 150. The rate of infiltration of ground water was assumed as 50,000 gallons per mile of pipe per day.

In the first line of Table 19, the entries in columns (1) to (6) are self-explanatory. There are no entries in columns (7) to (10), as no additional sewage is contributed between manholes 3.5 and 3.4. In column (11), 2250 persons are recorded as the number tributary to manhole No. 3.5 in the district to the north and west. These people contribute an average of 100 gallons per person per day, or a total of 0.346 second foot. This quantity is entered in column (13). The figure in column (14) is obtained from the expression M = 500
P?
. Column (15) is .01 of the product of columns (13) and (14). Column (16) is the product of the length of pipe between manholes 3.5 and 3.4, and the ground water unit reduced to cubic feet per second. Column (17) is the sum of column (16), and all of the ground water tributary to manhole 3.5, which is not recorded in the table. Column (18) is the sum of columns (15) and (17).

No new principle is represented in the second and third lines.

In the fourth line the first 10 columns need no further explanation. The (11th) column is the sum of the (10th) column, and the (11th) column in the third line. It represents the total number of persons tributary to manhole 3.4 on lateral No. 8. Column (13) in the fourth line is the sum of column (13) in the third line and the (12th) column in the fourth line, and the (15th) column in the fourth line is the product of the 2 preceding columns in the fourth line. Note that in no case is the figure in column (15) the sum of any previous figures in column (15). With this introduction the student should be able to check the remaining figures in the table, and should compute the quantity of sewage entering manhole No. 142 from the west, making reasonable assumptions for the tributary quantities from beyond the limits of the map.

TABLE 19
Computations for Quantity of Sewage For a Separate Sewerage System
On Street From Street To Street From Manhole To Manhole Length Feet Mark of Added Areas Area, Acres Population per Acre Number of Persons Total Persons Tributary Avg. Sanitary Flow, C.F.S. Cumulative Avg. Sanitary Flow, C.F.S. Per cent Max. Sanitary is of Average Total Max. Sanitary, C.F.S. Increment of Ground Water, C.F.S. Cumulative Ground Water, C.F.S. Total Flow, C.F.S. Line Number
Nebraska St. Map margin Alley S. Grant St. 3.5 3.4 338 2250 0.0000 0.346 425 1.47 0.005 0.0187 1.66 1
Alley S. of Grant St. Railroad E. of Missouri St. 8.3 8.2 328 8.2 2.7 20 54 54 .0084 .0084 500 0.041 .0048 .0048 0.046 2
Alley S. of Grant St. E. of Missouri St. E. of Kansas St. 8.2 8.1 355 8.1 3.41 20 68 122 .0106 .0190 500 0.095 .0052 .010 0.105 3
Alley S. of Grant St. E. of Kansas St. Nebraska St. 8.1 3.4 340 3.48 2.68 20 54 176 .0084 .0274 500 0.137 .0050 .015 0.152 4
Nebraska St. Alley S. of Grant St. Alley S. of Meridian 3.4 3.3 380 2428 .0000 .373 423 1.58 .0058 .208 1.79 5
7.1
Alley S. of Meridian Railroad Nebraska St. 7.2 3.3 800 3.37 7.14 20 142 142 .0221 .0221 500 0.111 .0117 .0117 0.123 6
Nebraska St. Alley S. of Meridian Alley S. of Smith Av. 3.3 3.2 304 2568 .0000 .395 414 1.63 .0045 .224 1.85 7
6.1
Alley S. of Smith Ave. Railroad Nebraska St. 6.2 3.2 609 3.26 3.82 20 76 76 .0119 .0119 500 0.060 .0089 .0089 0.069 8
Nebraska St. Alley S. of Smith Ave. S. of Cordovez St. 3.2 3.1 300 2644 .0000 .407 414 1.68 .0044 .237 1.92 9
S. of Cordovez St. Railroad Nebraska St. 4.1 3.1 410 3.14 3.10 20 62 62 .0096 .0096 500 0.048 .006 .006 0.054 10
S. of Cordovez St. Map margin Nebraska St. 5.1 3.1 380 3.15 2.69 20 54 54 .0084 .0084 500 0.042 .0056 .0056 0.048 11
Nebraska St. S. of Cordovez St. Long St. 3.1 148 172 2760 .0000 .425 409 1.74 .0025 .251 1.99 12
Long St. Map margin Nebraska St. 149 148 380 148 1.53 20 31 31 .0048 .0048 500 0.024 .0056 .0056 0.030 13
Long St. Nebraska St. N. Carolina St. 148 147 492 2791 .0000 .430 409 1.76 .0072 .264 2.02 14
Long St. N. Carolina St. Georgia St. 147 146 430 2791 1.000[33] .430 409 1.76 .0064 1.27 3.03 15
Long St. Georgia St. Harris St. 146 145 419 146 0.81 20 16 2807 .0025 .433 407 1.76 .0061 1.28 3.04 16
2.1
Long St. Harris St. Tennessee St. 145 143 725 143–145 6.6 20 132 2936 .0205 .454 403 1.83 .024 1.30 3.13 17
Column No. (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12) (13) (14) (15) (16) (17) (18)
TABLE 20
Computations for Slope and Diameter of Pipes for a Separate Sewerage System
On Street From Street To Street From Manhole To Manhole Length Feet El. of Surface Total Flow, C.F.S. Slope Dia. of Pipe, Inches Velocity when Full, Ft. per Second Capacity when Full, Second-Feet El. of Invert Line Number
Upper Manhole Lower Manhole Upper Manhole Lower Manhole
Nebraska St. Map margin Alley S. Grant St. 3.5 3.4 338 105.8 102.4 1.66 0.0108 10 3.25 1.78 97.80 94.40 1
Alley S. of Grant St. Railroad E. of Missouri St. 8.3 8.2 328 113.5 112.0 0.046 .00575 8 2.00 0.71 105.50 103.62 2
Alley S. of Grant St. E. of Missouri St. E. of Kansas St. 8.2 8.1 355 112.0 107.7 0.105 .0110 8 2.78 0.98 103.61 99.70 3
Alley S. of Grant St. E. of Kansas St. Nebraska St. 8.1 3.4 340 107.7 102.4 0.152 .0156 8 3.27 1.18 99.69 94.40 4
Nebraska St. Alley S. of Grant St. Alley S. of Meridian 3.4 3.3 380 102.4 100.7 1.79 .00385 12 2.28 1.79 94.07 92.61 5
Alley S. of Meridian Railroad Kansas St. 7.2 7.1 400 111.8 107.0 .0120 8 2.90 1.03 103.80 99.00 6
Alley S. of Meridian Kansas St. Nebraska St. 7.1 3.3 400 107.0 100.7 0.123 .0157 8 3.28 1.18 98.99 92.70 7
Nebraska St. Alley S. of Meridian Alley S. of Smith Av. 3.3 3.2 304 100.7 99.3 1.85 .0042 12 2.36 1.85 92.37 91.09 8
Alley S. of Smith Ave. Railroad East of Kansas St. 6.2 6.1 305 109.3 105.3 .0131 8 3.00 1.08 101.30 97.30 9
Alley S. of Smith Ave. East of Kansas St. Nebraska St. 6.1 3.2 304 105.3 99.3 0.069 .0197 8 3.70 1.32 97.29 91.30 10
Nebraska St. Alley S. of Smith Ave. S. of Cordovez St. 3.2 3.1 300 99.3 101.1 1.92 .00213 15 2.00 2.45 90.84 90.20 11
S. of Cordovez St. Railroad Nebraska St. 4.1 3.1 410 100.8 101.1 .00574 8 2.00 0.71 92.80 90.62 12
S. of Cordovez St. Map margin Nebraska St. 5.1 3.1 380 104.6 101.1 0.054 .00854 8 2.46 0.87 96.60 93.10 13
Nebraska St. S. of Cordovez St. Long St. 3.1 148 172 101.1 98.7 1.99 .00213 15 2.00 2.45 90.04 89.87 14
Long St. Map margin Nebraska St. 149 148 380 103.8 98.7 0.030 .0134 8 3.04 1.08 95.80 90.70 15
Long St. Nebraska St. N. Carolina St. 148 147 492 98.7 103.8 2.02 .00213 15 2.00 2.45 89.86 88.94 16
Long St. N. Carolina St. Georgia St. 147 146 430 103.8 99.1 3.03 .0016 18 2.00 3.50 88.69 88.00 17
Long St. Georgia St. Harris St. 146 145 419 99.1 96.9 3.04 .0016 18 2.00 3.50 87.99 87.32 18
Alley S. of Janis St. End of Janis St. Harris St. 2.2 2.1 350 105.2 98.1 .0203 8 3.78 1.35 97.20 90.10 19
Harris St. Alley N. of Janis St. Long St. 2.1 145 135 98.1 96.9 .0088 8 2.53 0.89 90.09 88.90 20
Long St. Harris St. Kentucky St. 145 144 258 96.9 94.4 .00353 18 2.98 5.20 87.31 86.40 21
Long St. Kentucky St. Tennessee St. 144 143 282 94.4 93.6 .00635 18 4.00 7.00 86.39 84.60 22
Tarbell Ave. Harris St. Long St. 1.1 143 417 98.7 92.6 .0146 8 3.18 1.14 90.70 84.60 23
Long St. Tennessee St. Alley W. of Tenn. St. 143 142 185 92.6 92.3 3.13 .0016 18 2.00 3.50 83.77 83.47 24
Column No. (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12) (13) (14) (15)

47. Surface Profile.—A profile of the surface of the ground along the proposed lines of the sewers should be drawn after the completion of the computations for quantity. An example of a profile is shown in Fig. 26 for the line between manholes No. 3.5 and No. 147. The vertical scale should be at least 10 times the horizontal. A horizontal scale of 1 inch to 200 feet can be used where not much detail is to be shown, but a scale of one 1 to 100 feet is more common and more satisfactory and even one inch to 10 feet has been used. The information to be given and the method of showing it are illustrated on Fig. 26. The profile should show the character of the material to be passed through and the location of underground obstacles which may be encountered. The method of obtaining this information is taken up in Chapter II. The collection of the information should be completed as far as possible previous to design, and borings and other investigations made as soon as the tentative routes for the sewers have been selected.

48. Slope and Diameter of Sewers.—After the quantity of sewage to be carried has been determined, and the profile of the ground surface has been drawn, it is possible to determine the slope and diameter of the sewer. A table such as No. 20 is made up somewhat similar to No. 19, or which may be an extension of Table 19 since the first 6 columns in both tables are the same. The elevation of the surface at the upper and lower manholes is read from the profile.

The depth of the sewer below the ground surface is first determined. Sewers should be sufficiently deep to drain cellars of ordinary depth. In residential districts cellars are seldom more than 5 feet below the ground surface. To this depth must be added the drop necessary for the grade of the house sewer. Six-inch pipe laid on a minimum grade of 1.67 per cent is a common size and slope restriction for house drains or sewers. An additional 12 inches should be allowed for the bends in the pipe and the depth of the pipe under the cellar floor. Where the elevation of the street and lots is about the same, and the street is not over 80 feet in width between property lines, a minimum depth of 8 feet to the invert of sewers, 24 inches or less in diameter is satisfactory. This is on the assumption that the axes of the house drain and the sewer intersect. For larger pipes the depth should be increased so that when the street sewer is flowing full, sewage will not back up into the cellars or for any great distance into the tributary pipes.

Fig. 26.—Typical Profile Used in the Design of a Separate Sewer System.

The grade or slope at which a sewer shall be may be fixed by: the slope of the ground surface; the minimum permissible self-cleansing velocity; a combination of diameter, velocity, and quantity; or the maximum permissible velocity of flow. Sewers are laid either parallel to the ground surface where the slope is sufficient or where possible without coming too near the surface they are laid on a flatter grade to avoid unnecessary excavation. The minimum permissible slope is fixed by the minimum permissible velocity.

The velocity of flow in a sewer should be sufficient to prevent the sedimentation of sludge and light mineral matter. Such a velocity is in the neighborhood of 1 foot per second. Since sewers seldom flow full this velocity should be available under ordinary conditions of dry weather flow. The minimum velocity when full should therefore be about 2 feet per second. Under this condition, the velocity of 1 foot per second is not reached until the sewer is less than 18 per cent full. The velocity in small sewers should be made somewhat faster than in large sewers since the velocity of flow for small depths in small pipes is less than for the same proportionate depth in large pipes. The maximum permissible velocity of flow is fixed at about 10 feet per second in order to avoid excessive erosion of the invert. If the sewer is carefully laid this limit may be exceeded in sanitary sewers.

The method for determining the grade and diameter of sewers is best explained through an illustrative problem which is worked out in Table 20 for the profile shown on Fig. 26. The figures are inserted in the table from left to right in each line, one line being completed before the next one is commenced. The headings in the first 6 columns are self-explanatory. The elevations of the surface at the upper and lower manholes are read from the profile. The total flow is read from column (18) in Table 19. The slope of the ground surface is then computed, and with the quantity, slope, and coefficient of roughness, the diameter of the pipe and the velocity of flow are read from Fig. 15.

The following conditions may arise:

(1) The diameter required is less than 8 inches. Use a diameter of 8 inches as experience has shown that the use of smaller diameters is unsatisfactory.

(2) The velocity of flow when the sewer is full is less than 2 feet per second. Increase the slope until the velocity when full is 2 feet per second.

(3) The diameter of the pipe required is not one of the commercial sizes shown in Fig. 15. Use the next largest commercial size.

(4) The slope of the ground surface is steeper than necessary to maintain the required minimum velocity and the upper end of the sewer is deeper than the required minimum depth. Place the sewer on the minimum permissible grade, or upon such a grade that its lower end will be at the minimum permissible depth.

(5) The slope of the ground surface is so steep as to make the velocity of flow greater than the maximum rate permissible. Reduce the grade by deepening the sewer at the upper manhole and using a drop manhole at this point.

It is not permissible to use a pipe larger than that called for by the above conditions. This is attempted sometimes in order to reduce the grade and thereby save excavation, under the rule of a minimum velocity of 2 feet per second when full. It is better to use the smaller pipe on the flat grade as the quantity of sewage is insufficient to fill the larger sewer and the minimum permissible velocity is more quickly reached.

Having determined the slope, the diameter, and the capacity of the pipe to be used, these values are entered in the table. The elevations of the invert of the pipe at the upper and lower manholes are next computed and entered in the table. This method is followed until all of the diameters, slopes, and elevations have been determined.

The slopes are computed from center to center of manholes, but an extra allowance of 0.01 of a foot is allowed by some designers for the increased loss in head in passing through the manhole. When it becomes necessary to increase the diameter of the sewer the top of the outgoing sewer is placed at the same elevation or below the top of the lowest incoming sewer. No extra allowance is made to compensate for loss in head in the manhole in this case. This case is illustrated in columns (14) and (15) in lines (16) and (17) of Table 20. All of the conditions listed above are illustrated in Table 20, except the condition for a velocity greater than 10 feet per second.

The first condition is met at the head of practically every lateral, and is illustrated in the second line.

The second condition is also illustrated in the second line. The slope of the ground surface is 0.0046, which gives a velocity of only 1.8 feet per second in an 8–inch pipe. The slope is therefore increased to 0.00575, on which the full velocity is 2 feet per second.

The third condition is met in the first line. The diameter called for to carry 1.66 cubic feet per second on a slope of 0.0108 is slightly less than 10 inches. A 10–inch pipe is therefore used and its full capacity and velocity are recorded.

The fourth condition is illustrated in the fourteenth line. The cut at manhole No. 3.1 is 11.1 feet. The slope of the ground is 0.014, much steeper than is necessary to maintain the minimum velocity in a 15–inch pipe. The pipe is therefore placed on the minimum permissible slope, and excavation is saved. The student should check the figures in Table 20 and be sure that they are understood before an attempt is made to make a design independently.

49. The Sewer Profile.—The profile is next completed as shown in Fig. 26, the pipe line being drawn in as the computations are made. The cut is recorded to the nearest ?th of a foot at each manhole, or change in grade. It should not be given elsewhere as it invites controversy with the contractor. The cut is the difference of the elevation of the invert of the lowest pipe in the trench at the point in question, and the surface of the ground.

The stationing should be shown to the nearest ?th of a foot. It should commence at 0 + 00 at the outlet and increase up the sewer. The station of any point on the sewer may show the distance from it to the outlet, or a new system of stationing may be commenced at important junctions or at each junction.

Elevations of the surface of the ground should be shown to the nearest ?th of a foot, and the invert elevation to the nearest 1
100
th of a foot.

Only the main line sewer is shown in profile in Fig. 26. The profiles of the laterals computed in Table 20, have not been shown. The approximate location of all house inlets are shown on the profile and located exactly, and are made a matter of record during construction.

Design of a Storm Water Sewer System

50. Planning the System.—Storm sewer systems are seldom as extensive as separate or combined sewer systems, since storm sewage can be discharged into the nearest suitable point in a flowing stream or other drainage channel, whereas dry weather or combined sewage must be conducted to some point where its discharge will be inoffensive. The need of a comprehensive general plan of a storm sewer system is quite as great, however, as for a separate system. The haphazard construction of sewers at the points most needed for the moment results in the duplication of forgotten drains, expense in increasing the capacity of inadequate sewers, and difficult construction due to underground structures thoughtlessly located. A comprehensive plan permits the construction of sewers where they are needed as they are required, and enables all probable future needs to be cared for at a minimum of expense.

The same preliminary survey, map, and underground information are necessary for the design of a storm sewer system as for a separate sewer system. The map shown on Fig. 25 has been used for the design of a storm-water sewer system.

The steps in the design of a storm-water sewer system are:

1st. Note the most advantageous points to locate the inlets and lay out the system to drain these inlets. 2nd. Determine the required capacity of the sewers by a study of the run-off from the different drainage areas. 3rd. Draw the profile and compute the diameter and slope of the pipes required.

51. Location of Street Inlets.—The location of storm sewers is determined mainly by the desirable location of the street inlets. The inlets must therefore be located before the system can be planned. In general the inlets should be located so that no water will flow across a street or sidewalk, in order to reach the sewer. This requires that inlets be placed on the high corners at street intersections, in depressions between street intersections, and at sufficiently frequent intervals that the gutters may not be overloaded. City blocks are seldom so long as to necessitate the location of inlets between crossings solely on account of inadequate gutter capacity. The capacity of a gutter can be computed approximately by the application of Kutter’s formula. Inlet capacities are discussed in Chapter VI. When the area drained is sufficiently large to tax the capacity of the gutter or inlet, an inlet should be installed regardless of the location of the street intersections.

The street inlets are located on the map as shown in Fig. 25. The sewer lines are then located so as to make the length of pipe to pass near to all inlets a minimum. Storm sewers are seldom placed near the center of a street because of the frequent crowded condition on this line.

52. Drainage Areas.—The outline of a drainage area is drawn so that all water falling within the area outlined will enter the same inlet, and water falling on any point beyond the outline will enter some other inlet. This requires that the outline follow true drainage lines rather than the artificial land divisions used in locating the drainage lines in the design of sanitary sewers. The drainage lines are determined by pavement slopes, location of downspouts, paved or unpaved yards, grading of lawns and the many other features of the natural drainage which are altered by the building up of a city. The location of the drainage lines is fixed as the result of a study of local conditions.

The watershed or drainage lines are shown on Fig. 25 by means of dot and dash lines. A drainage line passes down the middle of each street because the crown of the street throws the water to either side and directs it to different inlets. A watershed line is drawn about 50 feet west of such streets as Kentucky St., Florida St., etc., because the downspouts from the houses on those streets discharge or will discharge into the street on which they face. The location of any watershed line within 20 feet more or less is, in most cases, a matter of judgment rather than exactness. Each area is given an identifying number or mark which is useful only in design. It usually corresponds to the inlet number.

53. Computation of Flood Flow by McMath Formula.—McMath’s Formula is used as an example of the method pursued when an empirical formula is adopted for the computation of run-off, and because of its frequent use in practice. Other formulas may be more satisfactory under favorable conditions.

Computations should be kept in order by a tabulation such as is shown in Table 21, in which the quantity of storm flow discharged from the sewer at the foot of Tennessee St., on Fig. 25, has been computed by means of the McMath Formula, using the constants suggested for St. Louis conditions, i = 2.75, and c = 0.75. The solutions of the formula have been made by means of Fig. 11. The column headings in the Table are explanatory of the figures as recorded. The computation should begin at the upper end of a lateral, proceed to the first junction and then return to the head of another lateral tributary to this junction. They should be continued in the same manner until all tributary areas have been covered. Special computations will be necessary for the determination of the maximum quantity of storm water entering each inlet to avoid the flooding of an inlet or gutter. These computations have not been shown as they are so easily made by the application of McMath’s Formula to each area concerned.

The determination of the average slope ratio is a matter of judgment, based on the average natural slope of the surface of the ground and an estimate of the probable future conditions.

54. Computation of Flood Flow by Rational Method.—The rational method for the computation of storm-water run-off is described in Chapter III. An example of its application to storm sewer design is given here for the district shown in Fig. 25.[34] The computations are shown in Table 21. As in the preceding designs the table has been filled in from left to right and line by line. Computations have started at the upper end of laterals tributary to each junction. The column headed I represents the imperviousness factor in the expression Q = AIR. It is based on judgment guided by the constants given in Chapter III concerning imperviousness. The column headed “Equivalent 100 per cent I acres” is the product of the two preceding columns. It reduces all areas to the same terms so that they can be added for entry in the column headed “Total 100 per cent I acres.” It may be necessary to record the values for this column on several lines where the imperviousnesses of the tributary areas are different. This condition is illustrated in the last line of the table, for the length of sewer nearest the outlet. In the preceding lines the imperviousness recorded represents an average for all the tributary areas.

TABLE 21
Computations for the Quantity of Storm Sewage at the Foot of Tennessee Street on Figure 25
On Street From Street To Street Identifying Number of Acres Drained By McMath’s Formula By Rational Method Line Number
Additional Acres Drained Total Acres Drained Slope of Surface Run Off in C.F.S. Area, Acres I Equivalent 100 Per Cent I Acres Total 100 Per Cent I Acres Time of Concentration, Minutes R Q S V Sewer Length, Feet Time in Sewer
State N. Carolina S. Carolina 91 and 92 2.35 2.35 0.005 5.5 2.35 0.50 1.17 1.17 7.0 4.8 5.6 0.011 4.6 300 1.1 1
State S. Carolina Georgia 88, 89 and 90 3.0 5.35 .005 10.8 3.00 .50 1.50 2.67 8.1 4.6 12.2 .010 5.5 300 0.9 2
State Georgia Florida 85, 86 and 87 3.0 8.35 .007 16.5 3.00 .50 1.50 4.17 9.0 4.4 18.3 .012 5.8 300 0.9 3
State Florida Kentucky 81, 83 and 84 3.0 11.35 .009 22.0 3.00 .50 1.50 5.67 9.9 4.2 23.9 .009 6.0 300 0.8 4
State Kentucky Tennessee 79, 80 and 82 3.0 14.35 .010 28.0 3.00 .50 1.50 7.17 10.7 4.1 29.3 .009 6.2 300 0.8 5
State Texas Louisiana 76 and others 3.8 3.8 .005 8.3 3.80 .35 1.33 1.33 10.0 4.2 5.6 .009 3.2 370 1.9 6
State Louisiana Alabama 73, 74 and 75 3.7 7.5 .007 15.0 3.70 .40 1.48 2.81 11.9 3.9 11.0 .011 5.2 300 1.0 7
State Alabama Tennessee 70, 71 and 72 3.0 10.5 .006 19.0 3.00 .45 1.35 4.16 12.9 3.8 15.8 .002 3.2 300 1.6 8
Tennessee State Talon 68, 69, 77 and 78 4.3 29.15 .15 52 4.30 .50 2.15 13.48 14.5 3.6 48.5 .019 9.8 450 0.8 9
Talon Albemarle Tennessee 65, 66 and 67 2.8 2.8 .018 8.4 2.80 .40 1.12 1.12 8.0 4.6 5.2 .004 3.0 210 1.2 10
Tennessee Talon Burnside 64 and 64a 0.7 29.85 .15 55 0.70 .20 0.14 14.74 15.3 3.5 51.5 .006 5.0 120 0.4 11
Burnside N. Carolina S. Carolina 57, 58 and 59 2.84 2.84 .008 7.2 2.84 .55 1.56 1.56 10.0 4.2 6.5 .008 4.5 300 1.1 12
Burnside S. Carolina Georgia 54, 55 and 56 3.88 6.72 .010 14.9 3.88 .55 2.13 3.69 11.1 4.0 14.8 .007 4.7 300 1.1 13
Burnside Georgia Florida 50, 52 and 53 3.88 10.60 .012 22 3.88 .55 2.13 5.82 12.2 3.9 22.7 .011 5.8 300 0.9 14
Burnside Florida Kentucky 47, 48 and 51 3.88 14.48 .013 30 3.88 .55 2.13 7.95 13.1 3.7 29.4 .016 7.5 300 0.7 15
Burnside Kentucky Tennessee 44, 45 and 46 3.88 18.36 .013 36 3.88 .55 2.13 10.08 13.8 3.7 37.3 .019 9.2 300 0.5 16
Tennessee Burnside Elm 42 and 43 2.84 51.05 .015 82 2.84 .45 2.28 26.10 15.7 3.4 88.8 .015 10.2 280 0.5 17
Elm Above Chetwood Chetwood Included in next line below 18
Elm Chetwood Albemarle 31, 32 and 33 2.75 2.75 .007 7.0 2.75 .40 1.10 1.10 8.0 4.6 5.1 .020 5.3 480 1.5 19
Elm Albemarle Tennessee 27, 28, 29 and 30 5.75 8.50 .016 20 5.75 .45 2.59 3.69 9.5 4.3 15.8 .012 6.1 410 1.1 20
Tennessee Elm Varennes 25, 26 and 41 2.62 62.17 .017 100 2.62 .50 1.31 30.00 16.2 3.4 102 .012 10.2 180 0.3 21
Varennes S. Carolina Georgia 17, 18 and 19 3.17 3.17 .010 8.3 3.17 .55 1.74 1.74 9.0 4.4 7.7 .012 5.2 270 0.9 22
Varennes Georgia Florida 14, 15 and 16 3.17 6.34 .011 14.5 3.17 .55 1.74 3.48 9.9 4.2 14.5 .010 5.7 300 0.9 23
Varennes Florida Kentucky 11, 12 and 13 3.17 9.51 .013 21 3.17 .55 1.74 5.22 10.8 4.1 21.4 .017 7.7 300 0.6 24
Varennes Kentucky Tennessee 8, 9 and 10 3.17 12.68 .013 26 3.17 .55 1.74 6.96 11.4 4.0 27.8 .015 7.8 300 0.6 25
Tennessee Varennes Boulevard 6 and 7 2.32 77.17 .017 120 2.32 .55 1.28 32.84 16.5 3.3 108 .012 10.2 230 0.4 26
Tennessee Boulevard Outlet 1, 2, 3, 4, and 5 4.72 81.89 .017 122 0.18 .80 0.14 Area No. 1 27
1.38 .50 0.69 Area No. 2 28
2.80 .55 1.54 Areas No. 3 and 4 29
0.36 .75 0.27 35.48 16.9 3.3 117 Areas No. 1–5 inclusive 30

The time of concentration in minutes is assumed by judgment for the first area. For all subsequent areas it is the sum of the time of concentration for the area or areas tributary to the inlet next above and the time of flow in the sewer from the inlet next above to the inlet in question. For example, in line 2 the time 8.1 minutes is the sum of 7.0 minutes time of concentration to the inlet at the corner of State and North Carolina St., and the time of flow of 1.1 minute in the sewer on State St. from North Carolina St. to South Carolina St. Where two sewers are converging as at the corner of Varennes Road and Tennessee St. the longest time is taken. For example, the time of concentration down Varennes Road to Tennessee St. is shown in line 25 as 11.4 + 0.6 = 12.0 minutes. The time to the same point down Tennessee St. is shown in line 21 as 16.2 + 0.3 = 16.5 minutes. This time is therefore used in line 26.

R, the rate of rainfall in inches per hour is determined by Talbot’s formula.

Q, is in cubic feet per second and is the product of the 8th and 10th columns. Since the 8th column is the sum of the products of the 5th and the 6th columns for the lines representing tributary areas, then the 11th column is the product of A, I, and R.

S, is the slope on which it is assumed that the sewer will be laid. It is usually assumed as parallel to the ground surface unless the velocity for this slope becomes less than 2 feet per second. In such a case the slope is taken as one which will cause this velocity.

V, the velocity in feet per second, is computed from diagrams for the solution of Kutter’s formula. The length in feet is scaled from the map as the distance between inlets or groups of inlets, and the time is the length in feet divided by the velocity in feet per minute.

Having computed the quantity of flow to be carried in the sewer, the design is completed by drawing the profile and computing the diameters and slopes by the same method as used in the design of separate sewers.

                                                                                                                                                                                                                                                                                                           

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