Experimental Mechanics / A Course of Lectures Delivered at the Royal College of / Science for Ireland
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EXPERIMENTAL MECHANICS
PREFACE.
TABLE OF CONTENTS.
LECTURE I. THE COMPOSITION OF FORCES.
INTRODUCTION.
THE DEFINITION OF FORCE.
THE MEASUREMENT OF FORCE.
EQUILIBRIUM OF TWO FORCES.
EQUILIBRIUM OF THREE FORCES.
A SMALL FORCE SOMETIMES BALANCES TWO LARGER FORCES.
LECTURE II. THE RESOLUTION OF FORCES.
INTRODUCTION.
ONE FORCE RESOLVED INTO TWO FORCES.
EXPERIMENTAL ILLUSTRATIONS.
SAILING.
ONE FORCE RESOLVED INTO THREE FORCES NOT IN THE SAME PLANE.
THE JIB AND TIE ROD.
LECTURE III. PARALLEL FORCES.
INTRODUCTION.
PRESSURE OF A LOADED BEAM ON ITS SUPPORTS.
EQUILIBRIUM OF A BAR SUPPORTED ON A KNIFE-EDGE.
THE COMPOSITION OF PARALLEL FORCES.
PARALLEL FORCES ACTING IN OPPOSITE DIRECTIONS.
THE COUPLE.
THE WEIGHING SCALES.
LECTURE IV. THE FORCE OF GRAVITY.
INTRODUCTION.
SPECIFIC GRAVITY.
THE PLUMMET AND SPIRIT-LEVEL.
THE CENTRE OF GRAVITY.
STABLE AND UNSTABLE EQUILIBRIUM.
PROPERTY OF THE CENTRE OF GRAVITY IN A REVOLVING WHEEL.
LECTURE V. THE FORCE OF FRICTION.
THE NATURE OF FRICTION.
THE MODE OF EXPERIMENTING.
FRICTION IS PROPORTIONAL TO THE PRESSURE.
A MORE ACCURATE LAW OF FRICTION.
THE COEFFICIENT VARIES WITH THE WEIGHTS USED.
THE ANGLE OF FRICTION.
ANOTHER LAW OF FRICTION.
CONCLUDING REMARKS.
LECTURE VI. THE PULLEY.
INTRODUCTION.
FRICTION BETWEEN A ROPE AND AN IRON BAR.
THE USE OF THE PULLEY.
LARGE AND SMALL PULLEYS.
THE LAW OF FRICTION IN THE PULLEY.
WHEELS.
ENERGY.
LECTURE VII. THE PULLEY-BLOCK.
INTRODUCTION.
THE SINGLE MOVEABLE PULLEY.
THE THREE-SHEAVE PULLEY-BLOCK.
THE DIFFERENTIAL PULLEY-BLOCK.
THE EPICYCLOIDAL PULLEY-BLOCK.
LECTURE VIII. THE LEVER.
THE LEVER OF THE FIRST ORDER.
THE LEVER OF THE SECOND ORDER.
THE LEVER OF THE THIRD ORDER.
LECTURE IX. THE INCLINED PLANE AND THE SCREW.
THE INCLINED PLANE WITHOUT FRICTION.
THE INCLINED PLANE WITH FRICTION.
THE SCREW.
THE SCREW-JACK.
THE SCREW BOLT AND NUT.
LECTURE X. THE WHEEL AND AXLE.
INTRODUCTION.
EXPERIMENTS UPON THE WHEEL AND AXLE.
FRICTION UPON THE AXLE.
THE WHEEL AND BARREL.
THE WHEEL AND PINION.
THE CRANE.
CONCLUSION.
LECTURE XI. THE MECHANICAL PROPERTIES OF TIMBER.
INTRODUCTION
THE GENERAL PROPERTIES OF TIMBER.
RESISTANCE TO EXTENSION.
RESISTANCE TO COMPRESSION.
LECTURE XII. THE STRENGTH OF A BEAM.
A BEAM FREE AT THE ENDS AND LOADED IN THE MIDDLE.
A BEAM UNIFORMLY LOADED.
EFFECT OF SECURING THE ENDS OF A BEAM UPON ITS STRENGTH.
BEAMS SECURED AT ONE END AND LOADED AT THE OTHER.
LECTURE XIII. THE PRINCIPLES OF FRAMEWORK.
INTRODUCTION.
WEIGHT SUSTAINED BY TIE AND STRUT.
A BRIDGE WITH TWO STRUTS.
A BRIDGE WITH FOUR STRUTS.
A BRIDGE WITH TWO TIES.
A SIMPLE FORM OF TRUSS.
THE WYE BRIDGE.
LECTURE XIV. THE MECHANICS OF A BRIDGE.
INTRODUCTION.
THE GIRDER.
THE TUBULAR BRIDGE.
THE SUSPENSION BRIDGE.
LECTURE XV. THE MOTION OF A FALLING BODY.
INTRODUCTION.
THE FIRST LAW OF MOTION.
THE EXPERIMENT OF GALILEO FROM THE TOWER OF PISA.
THE SPACE DESCRIBED BY A FALLING BODY IS PROPORTIONAL TO THE SQUARE OF THE TIME.
A BODY FALLS 16' IN THE FIRST SECOND.
THE ACTION OF GRAVITY IS INDEPENDENT OF THE MOTION OF THE BODY.
HOW THE FORCE OF GRAVITY IS DEFINED.
THE PATH OF A PROJECTILE IS A PARABOLA.
LECTURE XVI. INERTIA.
INERTIA.
THE HAMMER.
THE STORING OF ENERGY.
THE FLY-WHEEL.
THE PUNCHING MACHINE.
LECTURE XVII. CIRCULAR MOTION.
THE NATURE OF CIRCULAR MOTION.
THE ACTION OF CIRCULAR MOTION UPON LIQUIDS.
THE APPLICATIONS OF CIRCULAR MOTION.
THE PERMANENT AXES.
LECTURE XVIII. THE SIMPLE PENDULUM.
INTRODUCTION.
THE CIRCULAR PENDULUM.
LAW CONNECTING THE TIME OF VIBRATION WITH THE LENGTH.
THE FORCE OF GRAVITY DETERMINED BY THE PENDULUM.
THE CYCLOID.
LECTURE XIX. THE COMPOUND PENDULUM AND THE COMPOSITION OF VIBRATIONS.
THE COMPOUND PENDULUM.
THE CENTRE OF OSCILLATION.
THE CENTRE OF PERCUSSION.
THE CONICAL PENDULUM.
THE COMPOSITION OF VIBRATIONS.
LECTURE XX. THE MECHANICAL PRINCIPLES OF A CLOCK.
INTRODUCTION.
THE COMPENSATING PENDULUM.
THE ESCAPEMENT.
THE TRAIN OF WHEELS.
THE HANDS.
THE STRIKING PARTS.
APPENDIX I.
THE METHOD OF GRAPHICAL CONSTRUCTION.
Table III.
Table IV.
THE METHOD OF LEAST SQUARES.
Table III.
Table IV.
APPENDIX II.
INDEX.
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