3. The tank shown has a parabolic curve gate at the bottom right side of length h perpendicular to the paper. The parabola has a vertex at the center of the hinge A. The parabola is defined by the equation in the X-Y coordinate system as shown. Neglecting the weight of the gate and the vertical reaction at the bottom end B of the gate, show the following if the unit weight of the liquid is y. Liquid surface 27 (a) The location of the vertical component is 26 124 3 hinge Р h from the y axis is (b) The magnitude of the horizontal force P just to prevent the opening is yh³. 27 -h. 26

3. The tank shown has a parabolic curve gate at the bottom right side of length h perpendicular to the paper. The parabola has a vertex at the center of the hinge A. The parabola is defined by the equation in the X-Y coordinate system as shown. Neglecting the weight of the gate and the vertical reaction at the bottom end B of the gate, show the following if the unit weight of the liquid is y. Liquid surface 27 (a) The location of the vertical component is 26 124 3 hinge Р h from the y axis is (b) The magnitude of the horizontal force P just to prevent the opening is yh³. 27 -h. 26

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

3. The tank shown has a parabolic curve gate at the bottom right side of length h
perpendicular to the paper. The parabola has a vertex at the center of the hinge A. The
parabola is defined by the equation in the X-Y coordinate system as shown. Neglecting
the weight of the gate and the vertical reaction at the bottom end B of the gate, show
the following if the unit weight of the liquid is y.
Liquid surfac
ILL
hinge
2h
27
27
(a) The location of the vertical component ish from the y axis is
26
26
124
3
(b) The magnitude of the horizontal force P just to prevent the
opening is
yh³.
h.

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