CEE 3500 - Fall 2005 - TEST 1 -Wednesday, September
21,2005
Name:
-kz
.coo
Code:
[I]. The figure below shows a thin flat plate of areaA = 0.2ft2 being pulled at a constant
speed V = 1.5Wsec parallel to two fixed walls. The gaps between the fixed walls and the
moving flat plate are filled with two different liquids. The liquid at the top gap has a
specific gravity sl = 1.2, and a kinematic viscosity vl = 0.001ff/sec, while liquid at the
bottom gap has a specific gravity s2 = 0.8, and a kinematic viscosity vz = 0.005ff/sec.
The gap thicknesses are Yl = 0.10 in and Y2 = 0.05 in, respectively. Determine the force
F required to pull the flat plate. (Specific weight of water, y, = 62.4 lb/ft3
st= f.2, y= 0.001ft2(s
SZ=O.%,V l = 6 .wS
-f,= 0.t o i ~
= o . I o ~ ( I =9
y~y2-
-3
.33~cq
y2=a . o ~ i f=i 0 ~ 0 5 / 2 ~ = 4 . . ( 6@
~.(0-~
fixed wall 2
solution: F =
0.643 Ib
CEE 3500 - Fall 2005 - TEST 1 -Wednesday, September 21,2005
Name:
Code:
[2]. The figure below shows a Venturi meter in a pipeline carrying water. The main
manometric fluid is mercury (specific density, s, = 13.56), showing a manometer reading
R, = 2 in. The upstream (left) leg of the manometer contains h, = 4 in of Merriam No.3
red manometric fluid with a specific density sl = 1.8, while the downstream (right) leg
contains hz = 6 in of blue manometric fluid with a specific density sz = 0.75. Determine
the p r e s s u r e d r o p between the upstream (1) and downstream (2) measuring points in
the Venturi meter, i.e., determine:
-
AP-PI-P,
-_-Yw
-?
Yw
where ywis the specific weight of water (yw= 62.4 Zbfl). Give your results inft. Notice
that points (1) and (2) are located at the same level in the pipe centerline.
Solution: 4 / y W=
t a @~
CEE 3500 - Fall 2005 - TEST 1 - Wednesday, September 21,2005
Name:
Code:
[ 3 ] .The figure below shows a square gate AB on the sloping face (0 = 45") of a concrete
dam used to contain seawater (specific gravity, s = 1.04). The gate, hinged at A and
supported at B by a wedge, covers a tunnel that connects the seawater to a freshwater
reservoir. When the depth of seawater is H = 6ft, the top of the gate (point A) is level
with the seawater free surface, while the bottom of the gate is at a depth AH = 3ft. If the
depth of the freshwater is h = 5ft, determine the reaction force F, perpendicular to the
gate, at point B required for equilibrium. The gate weighs 400 lb. (Hint: The sum of
moments about point A must be zero).
z h =0 : 6%2.8?+w ~4.5
+ (-Fzs3.5)t
(-FX 4-'24)= O
Solution: F =
4303~53~
-
CEE 3500 - Fall 2005 - TEST 1-Wednesday, September 21,2005
Name:
Code:
[4].The figure below shows a steel tank composed of a rectangular section and a quarter
of a circle (AB) of radius R = 2.0 m. The tank is filled with water as shown. The tank
width is W = 3.0 m, and the water reaches a depth H = 1.5m above the top of the circle.
Determine the moment with respect to an axis through point 0 produced by the vertical
component of the hydrostatic force on AB. (The location of the centroid for a quarter of a
circle is shown in the figure to the right)
'6, = ~ 8 \ 0 .I&3 = 4.&{IdnilmJ
.h=t .Sw
N
Wi=
y2,q6 w L~~*= '
s
37-7
3n
=8.85
n\
-
74w I - 1 . 4 ~ ~ j 2 ? . 5 5
b = 22qI4d
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