The gate shown is 3 m wide. For what depth of water will this rectangular gate be in equilibrium as shown? Neglect the weight of the gate. Moment of inertia for rectangular section is, I-1/12 width height. Density of water, p= 1000 kg/m³. Earth's gravitational acceleration, g-9.81 m/sec². 1 FR = ₁ A 2500 kg 3d YR = Yc+ d res 30 60° 5 m 11 20330 Ixc Jc A 1/2 +

Structural Analysis
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JKL
The gate shown is 3 m wide. For what depth of water will this rectangular gate be in equilibrium as
shown? Neglect the weight of the gate.
Moment of inertia for rectangular section is, 1-1/12 width* height'. Density of water, p = 1000
kg/m³. Earth's gravitational acceleration, g- 9.81 m/sec².
/
FR = ²₁ A
2500 kg
8²d 3d
Ixc.
YR = Yet
+
60°
5m
11
c0330
Jc A
$30/21
+
cos 30
Transcribed Image Text:JKL The gate shown is 3 m wide. For what depth of water will this rectangular gate be in equilibrium as shown? Neglect the weight of the gate. Moment of inertia for rectangular section is, 1-1/12 width* height'. Density of water, p = 1000 kg/m³. Earth's gravitational acceleration, g- 9.81 m/sec². / FR = ²₁ A 2500 kg 8²d 3d Ixc. YR = Yet + 60° 5m 11 c0330 Jc A $30/21 + cos 30
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