Problem 3.73 - Problem 3.73 [Difficulty: 2] Given: Liquid...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Problem 3.73 [Difficulty: 2] Given: Liquid concrete is poured into the form shown R2 f t = w1 5 f t = SG c 2.5 = (Table A.1, App. A) Find: Magnitude and line of action of the vertical force on the form Solution: We will apply the hydrostatics equations to this system. Governing Equations: dp dh ρ g = (Hydrostatic Pressure - h is positive downwards) F v A y p d = (Vertical Hydrostatic Force) x' F v F v x d = (Moment of vertical force) Assumptions: (1) Static fluid (2) Incompressible fluid (3) Atmospheric pressure acts at free surface of concrete and on outside of gate Integrating the hydrostatic pressure equation: p ρ g h = F v A y p d = A ρ g h sin θ () d = where dA w R d θ = and hRy = R R sin θ = Therefore, F v 0 π 2 θ ρ g R R sin θ w R sin θ d = ρ g w R 2 0 π 2 θ sin θ ( ) sin θ 2 d = Evaluating the integral: F v ρ g w R 2
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

Problem 3.73 - Problem 3.73 [Difficulty: 2] Given: Liquid...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online