The tank truck is filled to its top with water. Determine the magnitude of the resultant force on the elliptical back plate of the tank, and the location of the center of pressure measured from the top of the tank.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The tank truck is filled to its top with water. Determine the magnitude of the resultant force on the elliptical back plate of the tank, and the location of the center of pressure measured from the top of the tank.

 
 
 
y
y2
0.75 m²
+ x? = 1
Quarter ellipse
x2
y2
4a
3n
0.75 m
c*
4b
y =
3n
nab
Ī, = 0.054 88ab3
16
1 m
ī, = 0.054 88a³b
na b
Iy
16
a²b²
Iy =
-0.016 47a²b² Iyy
1
A = mab P=(2m) (a² + b*)
Transcribed Image Text:y y2 0.75 m² + x? = 1 Quarter ellipse x2 y2 4a 3n 0.75 m c* 4b y = 3n nab Ī, = 0.054 88ab3 16 1 m ī, = 0.054 88a³b na b Iy 16 a²b² Iy = -0.016 47a²b² Iyy 1 A = mab P=(2m) (a² + b*)
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