An elliptical gate covers the end of a pipe 4m in diameter. Of the gate is hinged at the top, what normal force F is required to open the gate when water is 8m deep above the top of pipe and the pipe is open to the atmosphere on the other side? Neglect the weight of the gate.Find:ħ in kPaAgate in m2FR in kNȳ in mI in m4ycp in mF in kN StaticsExample 3.11Yp = j +yAAn elliptical gage coversthe end of a pipe 4m indiameter. If the gate ishinged at the top, whatnormal force F is requiredto open the gate whenwater is 8 m deep abovethe top of the pipe. Thepipe is open to the theatmosphere on the otherside? Neglect the weightof the gate.Water8 mHingePmAtospheric4-m diameterZpressure

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Answered: yA An elliptical gage covers the end of…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

An elliptical gate covers the end of a pipe 4m in diameter. Of the gate is hinged at the top, what normal force F is required to open the gate when water is 8m deep above the top of pipe and the pipe is open to the atmosphere on the other side? Neglect the weight of the gate.

Find:

ħ in kPa

A_gatein m²

F_Rin kN

ȳ in m

I in m⁴

y_cp in m

F in kN

Statics
Example 3.11
Yp = j +
yA
An elliptical gage covers
the end of a pipe 4m in
diameter. If the gate is
hinged at the top, what
normal force F is required
to open the gate when
water is 8 m deep above
the top of the pipe. The
pipe is open to the the
atmosphere on the other
side? Neglect the weight
of the gate.
Water
8 m
Hinge
PmAtospheric
4-m diameter
Zpressure

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