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MAGM 262

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To find one of the three areas two of the others must be known. ... The pressure needed for a 500 pound given weight is calculated with the formula ... – PowerPoint PPT presentation

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Title: MAGM 262


1
MAGM 262
Hydraulic Fundamentals
Mr. Conrado
2
Hydraulic Fundamentals
  • Hydraulic systems are everywhere from
  • Large excavation equipment
  • Steering in your car
  • Shocks
  • Power trains

3
Hydraulic Fundamentals
  • Using liquids to transfer force
  • They conform to their container
  • Practically incompressible
  • Apply pressure in all directions
  • Flow in any direction through lines and hoses.

4
Hydraulic Fundamentals
  • Liquids for all practical purposes are
    incompressible.
  • When a substance is compressed it takes up space.
    A liquid does not do this even under large
    pressures.
  • The space any substance occupies is called
    displacement.

5
Hydraulic Fundamentals
  • Gases are compressible
  • When a gas is compressed it takes up less space
    and its displacement is less. For this reason
    liquids are best used for hydraulic systems.

6
Hydraulic Fundamentals
  • Hydraulics doing work.
  • Pascals law Pressure exerted on a confined
    liquid is transmitted undiminished in all
    directions and acts as a equal force on all equal
    areas.
  • Thus a force exerted on any part of a confined
    liquid the liquid will transmit that force
    (pressure) in all directions within the system.
  • In this example a 500 pound force acting upon a
    piston with a 2 inch radius creates a pressure of
    40 psi on the fluid.
  • This same liquid with a pressure of 40 psi acting
    on a piston with a 3 inch diameter can support
    1130 pounds.

7
Hydraulic Fundamentals
  • Pascals Law
  • To understand how this works we must understand a
    very simple but fundamental formula.
  • To find one of the three areas two of the others
    must be known.
  • Force The push or pull acting on a body usually
    expressed in pounds.
  • Pressure The force of the fluid per unit area.
    Usually expressed in pounds per square inch or
    psi.
  • Area A measure of surface space. Usually
    calculated in square inches.
  • To calculate the area of a circle use the formula
    Area Pi (3.14) x radius squared.
  • Ex For a 2 diameter piston A3.14x(2x2) or
    A 12.5 sq. in.

8
Hydraulic Fundamentals
  • Pascals Law
  • With the knowledge of the surface area it is
    possible to determine how much system pressure
    will be required to lift a given weight.
  • The pressure needed for a 500 pound given weight
    is calculated with the formula
  • Pressure Forced Area
  • P 500lbs 12.5 Sp. In.
  • P 40 psi

9
Hydraulic Fundamentals
  • Mechanical Advantage
  • Here we see and example of how a hydraulic system
    can create a mechanical advantage.
  • We can calculate the items in question by using
    the systems known items and Pascals law.
  • For system pressure we use PFA
  • So P50lps1sq.in (cylinder 2)
  • P 50psi
  • Now we know the system pressure we can calculate
    the load force for cylinders 1 3 and the piston
    area for 4. Do so on a separate piece of paper
    and wait for instructions.

10
Hydraulic Fundamentals
40psi
  • Cylinder One
  • Solve for Force
  • FP x A
  • F 40psi x 5 in²
  • Cancel out square inches to leave pounds and
    multiply
  • F 200lbs.

11
Hydraulic Fundamentals
  • Cylinder One
  • Solve for Force
  • FP x A
  • F 40psi x 5 in²
  • Cancel out square inches to leave pounds and
    multiply
  • F 200lbs.

200 pounds
12
Hydraulic Fundamentals
  • Cylinder Three
  • Solve for Force
  • FP x A
  • F 40psi x 3in²
  • Cancel out square inches to leave pounds and
    multiply
  • F 120 pounds

40psi
13
Hydraulic Fundamentals
  • Cylinder Three
  • Solve for Force
  • FP x A
  • F 40psi x 3in²
  • Cancel out square inches to leave pounds and
    multiply
  • F 120 pounds

120 pounds
40psi
14
Hydraulic Fundamentals
  • Cylinder four
  • Solve for Area
  • A F P
  • A 100 pounds 40 psi
  • Cancel pounds to get in² and divide
  • A 2.5 in²

15
Hydraulic Fundamentals
  • Cylinder four
  • Solve for Area
  • A F P
  • A 100 pounds 40 psi
  • Cancel pounds to get in² and divide
  • A 2.5 in²

2.5 in²
16
Homework
  • Read chapter

17
Lab
  • Bottle Jack Lab
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