engg mechanics -intro

Upload: raghavendra-rao

Post on 07-Apr-2018

233 views

Category:

Documents


0 download

TRANSCRIPT

  • 8/3/2019 Engg Mechanics -Intro

    1/70

  • 8/3/2019 Engg Mechanics -Intro

    2/70

    Deals with the state of rest or motion of

    bodies

    Historical Contributions: Archimedes ( 287 212 BC)

    Galileo ( 1564 1642)

    Newton ( 1642 1727)

  • 8/3/2019 Engg Mechanics -Intro

    3/70

    Einstein ( 1878 1955)

    Schrodinger De- Broglie ( 1887 1965)

    Students of AEC Bhongir ( 2011 2086)

  • 8/3/2019 Engg Mechanics -Intro

    4/70

    Greatest mathematician of all time

    Accomplished physicist

    Engineer

    Astronomer

    Philosopher

  • 8/3/2019 Engg Mechanics -Intro

    5/70

    Created field of hydrostatics

    Founded fundamentals of mechanics

    Discovered law of levers

    Calculated centres of gravity for flat surfaces

    and solids.

  • 8/3/2019 Engg Mechanics -Intro

    6/70

    2nd Punic War invented war machines todefend the city from the Roman siege (214-212 B.C.)

    Machines included catapults, ropes, pulleys,and hook

    Suggested the use of large mirrors to focusthe rays of the sun onto the Roman ships,thereby setting them on fire.

    http://hassam.hubpages.com/hub/Some-Facts-About-The-Roman-Empirehttp://hassam.hubpages.com/hub/Some-Facts-About-The-Roman-Empire
  • 8/3/2019 Engg Mechanics -Intro

    7/70

  • 8/3/2019 Engg Mechanics -Intro

    8/70

    Given:ABandBCmake up a broken chord withBC>AB.Mis the midpoint of arcABCMFis perpendicular toBCArchimedes proved thatFis the midpoint of the broken chordABC.

  • 8/3/2019 Engg Mechanics -Intro

    9/70

    When the screw is turned, the water slides up thetube until it falls out of the top.

  • 8/3/2019 Engg Mechanics -Intro

    10/70

    If a polygon is inscribed within a circle, itsperimeter must be less than the circlescircumference.

  • 8/3/2019 Engg Mechanics -Intro

    11/70

    Similarly, if another polygon is circumscribedoutside a circle, its perimeter must be greater thanthe circles circumference.

    Measuring both polygons perimeters and dividing

    by the circles diameter gives a bound for thevalue of

  • 8/3/2019 Engg Mechanics -Intro

    12/70

    By using polygons with increasing numbers ofsides, the bound can be made more accurate.

    Starting with a hexagon, Archimedes keptadding sides until he had polygons of 96sides which gave him a range of 310/71