of 0.88 is fitted at the bottom of the upper tank, determine- (1) the time required to drain all water stored in the upper tank, (n) the amount of water collected one minute after the drain valve is opened, and (i) the velocity of the water jet when the drain valve is just fully opened The following equation can be used for your calculation. A 2 (H

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
Section: Chapter Questions
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ANswer b

(b) If a quick-release drain valve of 80 mm diameter with a discharge coefficient (C)
of 0.88 is fitted at the bottom of the upper tank, determine-
(1) the time required to drain all water stored in the upper tank.
(1) the amount of water collected one minute after the drain valve is opened; and
(ii) the velocity of the water jet when the drain valve is just fully opened.
The following equation can be used for your calculation.
A
t=
(H₁-H₂)
唔
aC
Where t-time required to drain an amount of water from the tank (s)
A=cross-sectional area of the tank (m)
a=cross-sectional area of the drain valve (m²)
H. and He initial and final depth of water in the tank respectively (m)
8-gravitational acceleration (ns)
(c) If a centrifugal pump having the characteristics as shown in Table Q1(c) is coupled
to the system, determine-
(1) the flow rate (in L/s) and the pump head (in m) at the operating point; and
(ii) the additional resistance required to achieve a flow of 6 L/s
Table 01(c)-Pump characteristics
Flow rate (L/s)
4
6
10
12
14
8
22.5 12.5
Pump Head (m)
27.5
30
5
1
(d) If a 50 mm wide rectangular channel is used to divert the water collected in the
pump room to the building drainage, determine-
(0) the average velocity in m's if the slope of the channel is 1 in 50 and the depth
of water in the channel is 15 mm and
(ii) the amount of water collected after I minute
The following equation may be useful for your calculation All symbols have their
usual meanings and units.
= C√mi where C = = 50
Transcribed Image Text:(b) If a quick-release drain valve of 80 mm diameter with a discharge coefficient (C) of 0.88 is fitted at the bottom of the upper tank, determine- (1) the time required to drain all water stored in the upper tank. (1) the amount of water collected one minute after the drain valve is opened; and (ii) the velocity of the water jet when the drain valve is just fully opened. The following equation can be used for your calculation. A t= (H₁-H₂) 唔 aC Where t-time required to drain an amount of water from the tank (s) A=cross-sectional area of the tank (m) a=cross-sectional area of the drain valve (m²) H. and He initial and final depth of water in the tank respectively (m) 8-gravitational acceleration (ns) (c) If a centrifugal pump having the characteristics as shown in Table Q1(c) is coupled to the system, determine- (1) the flow rate (in L/s) and the pump head (in m) at the operating point; and (ii) the additional resistance required to achieve a flow of 6 L/s Table 01(c)-Pump characteristics Flow rate (L/s) 4 6 10 12 14 8 22.5 12.5 Pump Head (m) 27.5 30 5 1 (d) If a 50 mm wide rectangular channel is used to divert the water collected in the pump room to the building drainage, determine- (0) the average velocity in m's if the slope of the channel is 1 in 50 and the depth of water in the channel is 15 mm and (ii) the amount of water collected after I minute The following equation may be useful for your calculation All symbols have their usual meanings and units. = C√mi where C = = 50
Figure Q1 schematically shows a water pumping system comprising two water tanks at
different levels, one water pump and the connection pipework. Both water tanks are
cylindrical with a diameter of 1 25 m The lower and upper tanks maintain a water level
of 2.25 m and 1.75 m from the bottom of the tank respectively
Figure 01 - Water Pumping System
(a) Table Q1(a) provides the information about the suction and discharge pipework of
the system. Based on the information given, determine-
(0)
the total head losses of the suction and discharge pipework at a flow rate of
10 L/s, and
(i) the pump head required at a flow rate of 10 L/s if the static lift is 20 m.
Table 01(a)- Information of Pipe Run and Pipe Fittings
Suction Pipework
Discharge Pipework
Pipe internal diameter
80 mm
Pipe internal diameter
65 mm
Pipe run
5m
Pipe run
30 m
Pipe bend
3.5 m
8 nos
nos Equivalent
Pipe bend
3m
Equivalent
Gate valve
1 no.
length of
each fitting
40 m
Gate valve
1 no.
30 m
length of
each fitting
Entry loss coefficient (K)
0.5
15 m
1 no.
Check valve
Discharge loss coefficient (K)
1
The following equations may be useful for your calculation. All symbols have their
usual meanings and units.
hf-system
4fL v²
d 2g
Re Pud
f = 0.079Re-0.25
H
Transcribed Image Text:Figure Q1 schematically shows a water pumping system comprising two water tanks at different levels, one water pump and the connection pipework. Both water tanks are cylindrical with a diameter of 1 25 m The lower and upper tanks maintain a water level of 2.25 m and 1.75 m from the bottom of the tank respectively Figure 01 - Water Pumping System (a) Table Q1(a) provides the information about the suction and discharge pipework of the system. Based on the information given, determine- (0) the total head losses of the suction and discharge pipework at a flow rate of 10 L/s, and (i) the pump head required at a flow rate of 10 L/s if the static lift is 20 m. Table 01(a)- Information of Pipe Run and Pipe Fittings Suction Pipework Discharge Pipework Pipe internal diameter 80 mm Pipe internal diameter 65 mm Pipe run 5m Pipe run 30 m Pipe bend 3.5 m 8 nos nos Equivalent Pipe bend 3m Equivalent Gate valve 1 no. length of each fitting 40 m Gate valve 1 no. 30 m length of each fitting Entry loss coefficient (K) 0.5 15 m 1 no. Check valve Discharge loss coefficient (K) 1 The following equations may be useful for your calculation. All symbols have their usual meanings and units. hf-system 4fL v² d 2g Re Pud f = 0.079Re-0.25 H
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