You are designing a storm drain for a new parking lot. The topographic conditions at the site restrict the pipe slope to be approximately 0.013 (with up to 10 percent variation allowed). The storm drain needs to convey a design flowrate of 17 cfs. You are considering use of concrete pipe (n=0.013) and corrugated steel pipe (n = 0.022). (a) Which size pipe and what slope would you specify in each case? Make your selection so the pipe is full, or nearly full, at the design flowrate. Available pipe diameters are those listed next to tic marks on the "circular channel - low Q cleaned up" that is posted at NYU Brightspace. Use this nomograph, NOT the one that is in the Powerpoint lesson because it has more resolution at lower flowrates. (b) What is the maximum flowrate (when full) that each of the pipes you specified in (a) can convey? (c) What is the velocity of the water when flowing full in each case?

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Problem 1
You are designing a storm drain for a new parking lot. The topographic conditions at the site restrict the pipe slope to
be approximately 0.013 (with up to 10 percent variation allowed). The storm drain needs to convey a design flowrate
of 17 cfs. You are considering use of concrete pipe (n = 0.013) and corrugated steel pipe (n = 0.022).
(a) Which size pipe and what slope would you specify in each case? Make your selection so the pipe is full, or
nearly full, at the design flowrate. Available pipe diameters are those listed next to tic marks on the "circular
channel - low Q cleaned up" that is posted at NYU Brightspace. Use this nomograph, NOT the one that
is in the Powerpoint lesson because it has more resolution at lower flowrates.
(b) What is the maximum flowrate (when full) that each of the pipes you specified in (a) can convey?
(c) What is the velocity of the water when flowing full in each case?
Transcribed Image Text:Problem 1 You are designing a storm drain for a new parking lot. The topographic conditions at the site restrict the pipe slope to be approximately 0.013 (with up to 10 percent variation allowed). The storm drain needs to convey a design flowrate of 17 cfs. You are considering use of concrete pipe (n = 0.013) and corrugated steel pipe (n = 0.022). (a) Which size pipe and what slope would you specify in each case? Make your selection so the pipe is full, or nearly full, at the design flowrate. Available pipe diameters are those listed next to tic marks on the "circular channel - low Q cleaned up" that is posted at NYU Brightspace. Use this nomograph, NOT the one that is in the Powerpoint lesson because it has more resolution at lower flowrates. (b) What is the maximum flowrate (when full) that each of the pipes you specified in (a) can convey? (c) What is the velocity of the water when flowing full in each case?
Ratio of depth/diameter
1.0
0.9
0.8
0.7
0.6
"
0.5
0.4
0.3
0.2
0.1
0
1
1
+
0.1
Manning's
n
0.2
0.3
Constant m
T
I
In varies with
depth
Discharge
0.4
0.5
0.6
V
VI
0.8
or
0.7
a
Q₁UR
Figure 10.11 Hydraulic elements of a circular section (ASCE. 1982).
0.9
Velocity
V
1.0
1.1
1.2
1.3
90
80
70
60
-50
-40
30
20
1
0.9
-0.8
0.7
Capacity or Discharge, cfs
90
84
-72
-66
60
-54
48
42
36
30
27
-24
21 S
18
Diameter of Conduit. in
15 8
10
0.0002
0.0003
0.0004
0.0005
0.0006
0.0007
0.0008
0.0009
0,001
0.002
0.003-
0.004
0.005
0.006-
0.007
0.008
0.009
0.01
0.02-
0.03-
blablablabate latels
0.04
0.05
0.06-
0.07
0.08
0.09
0.1
0.2-
0.3
0.4-
0.5
0.6-
0.7-3
0.8-
0.9
10-
Slope
5
יייייייייייי
10-
15
20
2.0
FIG. 6-1. Nomograph based on Manning's formula for cir-
cular pipes flowing full in which n = 0.013.
Velocity, fps
Transcribed Image Text:Ratio of depth/diameter 1.0 0.9 0.8 0.7 0.6 " 0.5 0.4 0.3 0.2 0.1 0 1 1 + 0.1 Manning's n 0.2 0.3 Constant m T I In varies with depth Discharge 0.4 0.5 0.6 V VI 0.8 or 0.7 a Q₁UR Figure 10.11 Hydraulic elements of a circular section (ASCE. 1982). 0.9 Velocity V 1.0 1.1 1.2 1.3 90 80 70 60 -50 -40 30 20 1 0.9 -0.8 0.7 Capacity or Discharge, cfs 90 84 -72 -66 60 -54 48 42 36 30 27 -24 21 S 18 Diameter of Conduit. in 15 8 10 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0,001 0.002 0.003- 0.004 0.005 0.006- 0.007 0.008 0.009 0.01 0.02- 0.03- blablablabate latels 0.04 0.05 0.06- 0.07 0.08 0.09 0.1 0.2- 0.3 0.4- 0.5 0.6- 0.7-3 0.8- 0.9 10- Slope 5 יייייייייייי 10- 15 20 2.0 FIG. 6-1. Nomograph based on Manning's formula for cir- cular pipes flowing full in which n = 0.013. Velocity, fps
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