A rectangular gate AB in Figure 1 is 1.2 m long and 0.8 m into the paper. Neglecting atmospheric pressure effects, compute the force, F on the gate and its center of pressure position

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A rectangular gate AB in Figure 1 is 1.2 m long and 0.8 m into the paper. Neglecting atmospheric pressure effects, compute the force, F on the gate and its center of pressure position X.
6 m
1.
4 m
Oil,
SG
0.82
8 m
1.2 m
40
Figure 1
Transcribed Image Text:6 m 1. 4 m Oil, SG 0.82 8 m 1.2 m 40 Figure 1
Solution:
F= pgyA
y 4 +(-(a) + _ (b)_) sin_(c)_°
y = (d). m
F=(e)_ KN
The line of action of F
Iesin'e
D =
+y
Ay
bh3
12
e = --(g)--
D= --(h)__m from water surface.
Fill in the answer.
Answer a =
m (one decimal place)
Answer b =
m
(one decimal place)
Answer c =
degree (zero decimal place)
Answer d =
(three decimal places)
Answer e =
KN
(two decimal places)
Answer f =
m4
(four decimal places)
Answer g=
degree (zero decimal place)
Answer h =
m
(three decimal places)
Transcribed Image Text:Solution: F= pgyA y 4 +(-(a) + _ (b)_) sin_(c)_° y = (d). m F=(e)_ KN The line of action of F Iesin'e D = +y Ay bh3 12 e = --(g)-- D= --(h)__m from water surface. Fill in the answer. Answer a = m (one decimal place) Answer b = m (one decimal place) Answer c = degree (zero decimal place) Answer d = (three decimal places) Answer e = KN (two decimal places) Answer f = m4 (four decimal places) Answer g= degree (zero decimal place) Answer h = m (three decimal places)
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