Two vats are connected by a submerged pipe with a square cross-section, as shown in Figure Q2. A hinged valve in the centre of the square pipe prevents the fluid in both vats mixing. The valve door is square and has a cross sectional area L x L, and the hinge is at the top of the door. The fluid depth in the first tank is h, and the depth in the second tank is h2. a) The fluid in vat 1 exerts a horizontal force, F,, on the valve door when it is closed. Express F, in terms of h,. b) The fluid in vat 1 exerts a moment, M,, on the valve door (acting about the hinge at the top of the door) when it is closed. Express M, in terms of h,. c) Considering the fluid in both vat 1 and vat 2, express the net moment on the door in terms of h, and h, when it is closed. d) If the valve can withstand a moment of M,max before opening, find the maximum possible height difference between the fluid in vats 1 and 2. h2 h1 Figure Q2: Two vats of water connected by a hinged door.

Two vats are connected by a submerged pipe with a square cross-section, as shown in Figure Q2. A hinged valve in the centre of the square pipe prevents the fluid in both vats mixing. The valve door is square and has a cross sectional area L x L, and the hinge is at the top of the door. The fluid depth in the first tank is h, and the depth in the second tank is h2. a) The fluid in vat 1 exerts a horizontal force, F,, on the valve door when it is closed. Express F, in terms of h,. b) The fluid in vat 1 exerts a moment, M,, on the valve door (acting about the hinge at the top of the door) when it is closed. Express M, in terms of h,. c) Considering the fluid in both vat 1 and vat 2, express the net moment on the door in terms of h, and h, when it is closed. d) If the valve can withstand a moment of M,max before opening, find the maximum possible height difference between the fluid in vats 1 and 2. h2 h1 Figure Q2: Two vats of water connected by a hinged door.

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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