Example 2.7 Find the magnitude of the resultant force on this vertical wall of a tank which has oil, of relative density 0.8, floating on water.

Slides:



Advertisements
Similar presentations
Resultant force on a submerged curved surface
Advertisements

Aula 5 Mecânica dos Fluidos 2-Estática do fluido.
Fluid Mechanics-I Spring 2010
The tendency or ability of an object to float.
Table of Contents Pressure Floating and Sinking Pascal’s Principle
Forces on Submerged Surfaces in Static Fluids
Fluid Statics.
Static Surface Forces hinge water ? 8 m 4 m . Static Surface Forces ä Forces on plane areas ä Forces on curved surfaces ä Buoyant force ä Stability of.
Forces on Submerged surfaces—plane surfaces Problem consider a plane surface of area A Draw an y and x axis passing through the centroid x y Place surface.
Water Pressure and Pressure Forces
Formula sheet No explanation is made on purpose Do not assume that you need to use every formula In this test always assume that K entrance = 0.5, K exit.
Water Pressure and Pressure Force (Revision)
Hinge Statics ? Surface Forces.
CE 230-Engineering Fluid Mechanics Lecture # 11 & 12 Hydrostatic forces on curved surfaces.
Static Surface Forces hinge water ? 8 m 4 m . Static Surface Forces ä Forces on plane areas ä Forces on curved surfaces ä Buoyant force ä Stability submerged.
Static Surface Forces hinge 8 m water ? 4 m.
Monroe L. Weber-Shirk S chool of Civil and Environmental Engineeringhinge ? Statics Surface Forces 
CE 230-Engineering Fluid Mechanics Lecture # 9 & 10 Hydrostatic forces on plane surfaces.
Chapter 8 – Further Applications of Integration
Pertemuan Hydrostatics 2. Bina Nusantara Outline Pressure Forces on Plane Surface Pressure Forces on Curved Surface Pressure on Spillway Sections.
Hinge Statics ? Surface Forces.
WHY DO OBJECTS FLOAT OR SINK IN A LIQUID ? When an object is put in a liquid. Two forces act on it : 1.Weight of the object acting downwards 2.Buoyant.
Fluids - Hydrostatics Physics 6B Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB.
Hydraulic Pumps and Cylinders
Faculty of Engineering
Simple U-TUBE Manometer
Forces Due to Static Fluid
Fluid Statics Lecture -3.
Application of the Momentum Equation
Force on Floating bodies:
Pharos Univ. ME 259 Fluid Mechanics Static Forces on Inclined and Curved Surfaces.
1 CTC 261  Hydrostatics (water at rest). 2 Review  Fluid properties  Pressure (gage and atmospheric)  Converting pressure to pressure head  Resultant.
FLUID STATICS: Hydrostatic Force on Plane Surfaces slide 18.
Forces due to Static Fluids
Water Pressure and Pressure Force (Revision) The Islamic University of Gaza Faculty of Engineering Civil Engineering Department Hydraulics - ECIV 3322.
- Pressure Area The area of a surface is the number of square units that it covers. To find the area of a rectangle, multiply its length by its width.
1 CTC 261  Hydrostatics (water at rest). 2 Review  Fluid properties  Pressure (gage and absolute)  Converting pressure to pressure head  Resultant.
FLUID STATICS: Hydrostatic Force on Plane Surfaces slide 18.
Buoyancy, Flotation and Stability
9.6 Fluid Pressure According to Pascal’s law, a fluid at rest creates a pressure ρ at a point that is the same in all directions Magnitude of ρ measured.
BIEN 301 Individual Project Presentation Hydrostatic Force Against A Dam Scott C. Laura.
Free Body Diagrams by: Heather Britton. Free Body Diagrams When analyzing forces a free body diagram should be drawn A free body diagram shows the magnitude.
If the sum of all the forces acting on a moving object is zero, the object will (1) slow down and stop (2) change the direction of its motion (3) accelerate.
Theoretical Mechanics STATICS KINEMATICS
Copyright © Cengage Learning. All rights reserved. 8 Further Applications of Integration.
Mecânica de Fluídos Ambiental 2015/2016
Objectives  Introduce the concept of pressure;  Prove it has a unique value at any particular elevation;  Show how it varies with depth according.
Lesson 7.7 Fluid Pressure & Fluid Force. Definition of Fluid Pressure The pressure on an object submerged in a fluid is its weight- density times the.
The Hoover - USA. The Three Gorges - China Thrust on an immersed plane surface P5calculate the resultant thrust and overturning moment on a vertical.
Chapter 10 Fluids Pressure in Fluids Pressure is defined as the force per unit area. Pressure is a scalar; the units of pressure in the SI system.
Elementary Mechanics of Fluids
Water Pressure and Pressure Force (Revision)
Problem 5-c The square gate AB is held in the position shown by hinges along its top edge A and by a shear pin at B. For a depth of water d = 3.5 ft,
Physics 12.
Unit Vectors AP Physics.
Force is a vector quantity Its units are newton's N
Key Areas covered Resolving a force into two perpendicular components.
Components or resolved forces
Physics Support Materials Higher Mechanics and Properties of Matter
Force Vectors and Equilibrium
Lesson 2.8 The Coordinate Plane
Fluid Mechanics Assignment-2
13.7 day 2 Tangent Planes and Normal Lines
Examples.
FLUID MECHANICS 1.1 HYDROSTATIC FORCES.
CTC 261 Hydrostatics (water at rest).
Static flow and Its Application
Distributed Forces: Centroids and Centers of Gravity
Applications of Integration
Example 2.7 Find the magnitude of the resultant force on this vertical wall of a tank which has oil, of relative density 0.8, floating on water.
Presentation transcript:

Example 2.7 Find the magnitude of the resultant force on this vertical wall of a tank which has oil, of relative density 0.8, floating on water as shown

Draw the pressure diagram as shown to the right. Solution Draw the pressure diagram as shown to the right. The resultant force (per unit length) is simply the area of the pressure diagram. It is convenient to split the area into three, and sum the answers. F1 = A1 = (0.8 x 103) x 9.81 x 0.8 x 0.8x0.5 = 2511.36 F2 = A2 = (0.8 x 103) x 9.81 x 0.8 x 1.2 = 7534.08 F3 = A3 = (103) x 9.81 x 1.2 x 1.2 x 0.5 = 7063.20 R = F1 + F2 + F3 = 17108.64 N/m R acts horizontally through the centroid of the pressure diagram.

Example 2.8 Find the magnitude and direction of the resultant force (in N not N/m) of water on a quadrant gate as shown below

At an angle Horizontal force, RH = Force on projection of curved surface on to a vertical plane = 0.5 x rgh2 x width = 0.5 x 1000 x 9.81 x 12 x 3 = 14715 N Vertical force, RV = weight of fluid above surface = rg x Area covered = 1000 x 9.81 x(pr2/4) x 3 = 23114 N Resultant force At an angle

Example 2.8

Solution

Last Semester First Exam

Fluid dynamics and its applications

Streamline & Pathline