IV. 1-5 A semicircular tunnel of 800 ft long is to be built under a lake, which is 150 ft dept. The density of water is 62.4 lbm/ft³, gravity is 32.2 ft/s², and 1 lbf = 32.2 lbm-ft/s². For the force on a plane plate Y₁p = y + I YA For a rectangle with width b and height h: I = bh³ 12 a) How much is the horizontal hydrostatic force on left and right side of the tunnel, as well as the total horizontal force (10 pts)? b) How much is the distance between the horizontal force and the bottom of the lake (10 pts)? c) Find out the total hydrostatic vertical force (15 pts). 150 ft Fl'ater surface PAYSAG Centrolé Center ol pressure al PL 4/

Structural Analysis
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Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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IV.
1-5
A semicircular tunnel of 800 ft long is to be built under a lake, which is 150 ft dept. The
density of water is 62.4 lbm/ft³, gravity is 32.2 ft/s², and 1 lbf = 32.2 lbm-ft/s². For the
force on a plane plate
Y₁p = y +
I
YA
For a rectangle with width b and height h: I =
bh³
12
a) How much is the horizontal hydrostatic force on
left and right side of the tunnel, as well as the total
horizontal force (10 pts)?
b) How much is the distance between the horizontal
force and the bottom of the lake (10 pts)?
c) Find out the total hydrostatic vertical force (15
pts).
150 ft
Fl'ater surface
PAYSAG
Centrolé
Center ol pressure
al
PL
4/
Transcribed Image Text:IV. 1-5 A semicircular tunnel of 800 ft long is to be built under a lake, which is 150 ft dept. The density of water is 62.4 lbm/ft³, gravity is 32.2 ft/s², and 1 lbf = 32.2 lbm-ft/s². For the force on a plane plate Y₁p = y + I YA For a rectangle with width b and height h: I = bh³ 12 a) How much is the horizontal hydrostatic force on left and right side of the tunnel, as well as the total horizontal force (10 pts)? b) How much is the distance between the horizontal force and the bottom of the lake (10 pts)? c) Find out the total hydrostatic vertical force (15 pts). 150 ft Fl'ater surface PAYSAG Centrolé Center ol pressure al PL 4/
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