2.123 The concrete (specific weight 150 lb/ft3 ) seawall of Fig. P2.123 has a curved surface...
2.123 The concrete (specific weight 150 lb/ft3 ) seawall of Fig. P2.123 has a curved surface and restrains seawater at a depth of 24 ft. The trace of the surface is a parabola as illustrated. Determine the moment of the fluid force (per unit length) with respect to an axis through the toe (point A).
Homework Answers
When surface is submerged in a fluid, the forces developed on surface due to fluid.
Calculation of these forces is important role in design of tanks, dams and hydraulic structures.
Force must be perpendicular to the surface for static fluids since no shear stresses are involved.
Write the formula for hydrostatic force.
Here, the specific weight of fluid is 
, area of the dam is A and centroidal distance of dam is hc.
Write the formula for weight of the dam.
Here, the volume of the fluid is 
.
Write the formula for moment.
Draw the free body diagram of the system when it has turned through an angle
.
Compute the horizontal component of fluid force acting on the wall.
Here, 
is the weight density of the fluid, 
is the height at which the horizontal component acts and 
is the projected vertical area on which the force acts h the height of the sea wall and l the length of the sea wall.
Substitute 
for
, 
for
, 
for 
(since unit length).
Draw the curved section of concrete wall.
Calculate the value of 
using the curve equation.
…… (1)
Substitute, 24 ft for y.
Determine the area of BCD.
…… (2)
Substitute equation (1) in equation (2).
Substitute 
for 
.
Calculate the vertical force acting on the concrete wall.
Substitute for, 
for A, and 
for l (since unit length).
Calculate the centroid of the area.
Here, the distance of the centroid from y-axis is 
and the area of the section is A.
Substitute 
for 
and 
for 
.
Substitute for 
and 
for A.
Calculate the moment of the fluid about the point A.
Here, the distance of centroid of the parabolic section from x-axis is 
Substitute 
for 
, 
for
, 
for W and 
for 
.
Therefore, the moment about the point A is 
.
Add Answer to:
2.123 The concrete (specific weight 150 lb/ft3 ) seawall of Fig. P2.123 has a curved surface...
question 9 (a) 9 Design interior one-way slabs for the situations shown. Concrete weight 150 lb/ft3,...
question 9 (a)
9 Design interior one-way slabs for the situations shown. Concrete weight 150 lb/ft3, fy= 60,000 psi, and f c= 4000psi. Do not use the ACI Code's minimum thickness for deflections (Table 4.1). Steel percentages are given in the figures. The only dead load is the weight of the slab. a) WL150 psf 24 ft
Problem 2 A concrete dam has a curved surface and restrain water (p=1000kg/m3) at a depth...
Problem 2 A concrete dam has a curved surface and restrain water (p=1000kg/m3) at a depth H=2 m. The trace of the surface is a parabola described by the equation: z= 0.2x2 . dam 1- Determine the gage pressure distribution in the water 2- Determine the magnitude of the pressure force F acting on the curved dam surface per unit width (dimension normal to the page) of the gate. [Solution: F=45,780 N] 3-Determine the angle of that force relative to...
The tank contains a fluid with a specific weight of 80.7 lb/ft3 . Determine (a) magnitude...
The tank contains a fluid with a specific weight of 80.7 lb/ft3
. Determine (a) magnitude of the resultant force exerted by the
fluid on the bottom of the tank; (b) magnitude of the resultant
force exerted by the fluid on side ABCD; (c) location of the center
of pressure on side ABCD (vertical distance below liquid surface);
(d) magnitude of the resultant force exerted by the fluid on side
AEFD; (e) location of the center of pressure on side...
For the concrete dam shown below, determine the minimum width in feet of the dam, b, so that it does not tip about its toe, A. Take the unit weight of concrete as γconcrete = 147 lb ft3 and...
For the concrete dam shown below, determine the minimum width in
feet of the dam, b, so that it does not tip about its toe,
A. Take the unit weight of concrete as
γconcrete = 147
lb
ft3
and that of water as γwater = 62.4
Determine the coefficient of friction required to prevent the dam
from slipping downstream.
μs =
https://www.webassign.net/web/Student/Assignment Responses/last?dep-20633008 and that of water as i3 For the concrete dam shown below, determine the minimurn width in...
A typical cross-section of a reinforced concrete beam is shown in Figure 1. The unit weight...
A typical cross-section of a reinforced concrete beam is shown in Figure 1. The unit weight the beam concrete along with the embedded reinforcement is estimated to be 150 lbs/ft3. 72 6 6 24" 8 48 12 18 Figure 1. Typical Beam Section All Dimensions are in Inches The beam has uniform cross-section throughout its entire length and simply supported over a span (L) of 30 ft. Calculate the following due to self-weight only: (a) Self weight of the beam...
Design interior one-way slab for the situation shown. Concrete weight = 150 lb/ft^3 f_y= 60,000 psi,...
Design interior one-way slab for the situation shown. Concrete
weight = 150 lb/ft^3
f_y= 60,000 psi, f_c= 4,000 psi.
Do not use the ACI Code’s minimum thickness for deflections.
Assume: h= 7.5 in, b= 12 in,
d= h-0.75-(0.25)
steel percentages are given on the figures.
The only dead load is the weight of the slab
WL150 psf im -24 ft
WL150 psf im -24 ft
Problem 17.20 The material has a specific weight y 78 lb/ft. (Figure 1) K1 of 1...
Problem 17.20 The material has a specific weight y 78 lb/ft. (Figure 1) K1 of 1 Figure 0.25 V 0.25 ft 2 ft 0.5 ft Part A Determine the moment of inertia of the wheel about an axis which is perpendicular to the page and passes through point O Express your answer to three significant figures and include the appropriate units. ? Value Units Io Request Answer Submit
question 9 (a)
9 Design interior one-way slabs for the situations shown. Concrete weight 150 lb/ft3, fy= 60,000 psi, and f c= 4000psi. Do not use the ACI Code's minimum thickness for deflections (Table 4.1). Steel percentages are given in the figures. The only dead load is the weight of the slab. a) WL150 psf 24 ft
Problem 2 A concrete dam has a curved surface and restrain water (p=1000kg/m3) at a depth H=2 m. The trace of the surface is a parabola described by the equation: z= 0.2x2 . dam 1- Determine the gage pressure distribution in the water 2- Determine the magnitude of the pressure force F acting on the curved dam surface per unit width (dimension normal to the page) of the gate. [Solution: F=45,780 N] 3-Determine the angle of that force relative to...
The tank contains a fluid with a specific weight of 80.7 lb/ft3
. Determine (a) magnitude of the resultant force exerted by the
fluid on the bottom of the tank; (b) magnitude of the resultant
force exerted by the fluid on side ABCD; (c) location of the center
of pressure on side ABCD (vertical distance below liquid surface);
(d) magnitude of the resultant force exerted by the fluid on side
AEFD; (e) location of the center of pressure on side...
For the concrete dam shown below, determine the minimum width in
feet of the dam, b, so that it does not tip about its toe,
A. Take the unit weight of concrete as
γconcrete = 147
lb
ft3
and that of water as γwater = 62.4
Determine the coefficient of friction required to prevent the dam
from slipping downstream.
μs =
https://www.webassign.net/web/Student/Assignment Responses/last?dep-20633008 and that of water as i3 For the concrete dam shown below, determine the minimurn width in...
A typical cross-section of a reinforced concrete beam is shown in Figure 1. The unit weight the beam concrete along with the embedded reinforcement is estimated to be 150 lbs/ft3. 72 6 6 24" 8 48 12 18 Figure 1. Typical Beam Section All Dimensions are in Inches The beam has uniform cross-section throughout its entire length and simply supported over a span (L) of 30 ft. Calculate the following due to self-weight only: (a) Self weight of the beam...
Design interior one-way slab for the situation shown. Concrete
weight = 150 lb/ft^3
f_y= 60,000 psi, f_c= 4,000 psi.
Do not use the ACI Code’s minimum thickness for deflections.
Assume: h= 7.5 in, b= 12 in,
d= h-0.75-(0.25)
steel percentages are given on the figures.
The only dead load is the weight of the slab
WL150 psf im -24 ft
WL150 psf im -24 ft
Problem 17.20 The material has a specific weight y 78 lb/ft. (Figure 1) K1 of 1 Figure 0.25 V 0.25 ft 2 ft 0.5 ft Part A Determine the moment of inertia of the wheel about an axis which is perpendicular to the page and passes through point O Express your answer to three significant figures and include the appropriate units. ? Value Units Io Request Answer Submit
Most questions answered within 3 hours.
-
Oxidative phosphorylation is achieved through chemiosmotic
coupling, which turns chemical energy into osmotic potential energy
that...
asked 7 minutes ago -
Hollywood Shoes would like to maintain their cash account at a
minimum level of $64,000, but...
asked 6 minutes ago -
Proteins CtrA-P, DnaA, and GcrA behave similarly to what
molecule in the Eukaryotic Cell Cycle?
asked 10 minutes ago -
TRUE OR FALSE
In case of a competitive tender procedure, in the request for
quotation, the...
asked 18 minutes ago -
I am a little behind please provide some explanation, will
provide thumbs up.
This question considers...
asked 21 minutes ago -
Let say the utility function as U(X,Y) = lnX + Y. Show that the
marginal rate...
asked 26 minutes ago -
A current of I=8.0A is flowing in a typical extension cord of
length L=3.00m. The cord...
asked 29 minutes ago -
1. When balancing the equation H2SO4 (aq) + NaOH (aq) →
Na2SO4(aq) + H2O(aq), would you...
asked 1 hour ago -
Provide a definition of “classification hierarchy” and
illustrate your definition with an example of how and...
asked 44 minutes ago -
1. Describe the four main green solvents. Provide one example of
the use of each solvent....
asked 47 minutes ago -
International ethics focus on:
1) exploitation of labor
2)corruption
3) environmental impact
4) none of the...
asked 58 minutes ago -
Costing Models You work for XYZ trucking and your boss has asked
you to figure out...
asked 51 minutes ago