Problem 3.66

Problem 3.66 - Problem 3.66 Given: Geometry of gate Find:...

This preview shows page 1. Sign up to view the full content.

Problem 3.66 [Difficulty: 3] Given: Geometry of gate h D F R y F A y’ Find: Force at A to hold gate closed Solution: Basic equation dp dh ρ g = Σ M z 0 = Computing equations F R p c A = y' y c I xx Ay c + = I xx wL 3 12 = Assumptions: Static fluid; ρ = constant; p atm on other side; no friction in hinge For incompressible fluid p ρ g h = where p is gage pressure and h is measured downwards The hydrostatic force on the gate is that on a rectangle of size L and width w. Hence F R p c A = ρ g h c A = ρ g D L 2 sin 30 deg () + L w = F R 1000 kg m 3 9.81 × m s 2 1.5 3 2 sin 30 deg + × m 3 × m 3 × m Ns 2 kg m × = F R 199 kN = The location of this force is given by y' y c I xx c + = where y' and y c are measured along the plane of the gate to the free surface
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.

Ask a homework question - tutors are online