The velocity distribution in a 1 cm-diameter pipe is given by u(r) = 30 (1-r²/R²) ms¹, where Ris the radius of the pipe. The length of the pipe is 1 m and the temperature of water is 24°C. Questions: (a) Calculate the shear stress at axis of the pipe. (b) Calculate the shear stress at the wall. (c) What is the total force that the fluid exerts on the pipe? C. PROPERTIES OF AREAS AND VOLUMES TABLE C.1 Areas Rectangle Triangle Jok T Sketch XI b+d 3 h Area bh bh/2 Centroid ỹ = h/2 y = h/3 Second moment Ī = bh³/12 Ixy = 0 Ï=bh³/36 Ixy = (b-2d)bh³/72
The velocity distribution in a 1 cm-diameter pipe is given by u(r) = 30 (1-r²/R²) ms¹, where Ris the radius of the pipe. The length of the pipe is 1 m and the temperature of water is 24°C. Questions: (a) Calculate the shear stress at axis of the pipe. (b) Calculate the shear stress at the wall. (c) What is the total force that the fluid exerts on the pipe? C. PROPERTIES OF AREAS AND VOLUMES TABLE C.1 Areas Rectangle Triangle Jok T Sketch XI b+d 3 h Area bh bh/2 Centroid ỹ = h/2 y = h/3 Second moment Ī = bh³/12 Ixy = 0 Ï=bh³/36 Ixy = (b-2d)bh³/72
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The velocity distribution in a 1 cm-diameter pipe is given by u(r) = 30 (1-r²/R²) ms¹, where Ris
the radius of the pipe. The length of the pipe is 1 m and the temperature of water is 24°C.
Questions:
(a) Calculate the shear stress at axis of the pipe.
(b) Calculate the shear stress at the wall.
(c) What is the total force that the fluid exerts on the pipe?
C. PROPERTIES OF AREAS AND VOLUMES
TABLE C.1 Areas
Rectangle
Triangle
Circle
Semicircle
Ellipse
Semiellipse
Jok
T
Sketch
T
b+d
3
OT
5*
2a
h
2a
42-
Area
bh
bh/2
TD²/4
TD²18
mab
mab/2
Centroid
ỹ = h/2
y=h/3
y=r
ỹ = 4r/3m
y=b
y=4b/37
Second
moment
Ī = bh³/12
Ixy = 0
Ï=bh³/36
İxy = (b-2d)bh³/72
I = TD¹/64
I₂ = #D¹/128
Ī = mab³/4
1₁ = mab³/8
Transcribed Image Text:B. FLUID PROPERTIES
TABLE B.1 Properties of Water
Temperature
T
(°C)
0
5
10
15
20
30
40
50
60
70
80
90
100
Density
(kg/m³)
999.9
1000.0
999.7
999.1
998.2
995.7
992.2
988.1
983.2
977.8
971.8
965.3
958.4
Viscosity
f
(N-s/m³)
1.792 x 10-¹
1.519
1.308
1.140
1.005
0.801
0.656
0.549
0.469
0.406
0.357
0.317
0.284 x 10-³
Kinematic
viscosity
V
(m³/s)
1.792 x 10-6
1.519
1.308
1.141
1.007
0.804
0.661
0.556
0.477
0.415
0.367
0.328
0.296 x 10-6
Surface
tension
(N/m)
0.0762
0.0754
0.0748
0.0741
0.0736
0.0718
0.0701
0.0682
0.0668
0.0650
0.0630
0.0612
0.0594
Vapor
pressure
Pu
(kPa)
0.610
0.872
1.13
1.60
2.34
4.24
3.38
12.3
19.9
31.2
47.3
70.1
101.3
Bulk
modulus
B
(Pa)
204 x 107
206
211
214
220
223
227
230
228
225
221
216
207 x 107
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