Forging new generations of engineers Simple Machines Simple Machines Simple Machine: A device for overcoming resistance at one point by applying force at some other point. Work : The force applied on an object multiplied by the distance traveled by the object. Effort : The force needed by a machine in order to accomplish work on a load. Load : The resistance or weight sustained by a machine. Mechanical Advantage (MA) : The ratio of the output force (acting on a load) produced by a machine to the applied effort (the input force). The Six Simple Machines • • • • • • Inclined Plane Wedge Screw Lever Wheel and Axle Pulley The Six Simple Machines Two general classes of simple machines. • Those that operate in straight lines or vectors. – Inclined Plane – Wedge – Screw • Those that operate by turning. – Lever – Pulley – Wheel and Axle Inclined Plane 1 ft. This inclined plane has a mechanical advantage of 3. Mechanical Advantage = Length / Height MA = Length (3 ft.) divided by the height of the incline (1 ft.). 3/1=3 MA = 3 Inclined Plane 3 lb 1ft. Force x Distance = Work 3 lb of force x 1 ft or distance = 3 ft-lb work Inclined Plane 1 ft. By using in inclined plane with a mechanical advantage of 3 the amount of force required is reduced to one pound. Inclined Plane EXAMPLES Wedge A wedge is a movable inclined plane. Wedge 1 ft. Mechanical Advantage = Length / Width MA = 3/1 MA = 3 50 lb Wedge 4 in. If the wedge to the right is pushed downward 12 in. with a 50 lb force the result would be a force on the material it is driven into of three times that or 150 lb. over one-third of the distance, 4 in. 150 lb 12 in. 150 lb Wedge EXAMPLES Screw 1 ft. A screw is basically an inclined plane wrapped around a cylinder. Screw Screw Screw EXAMPLES Lever Effort Load 3 lb Fulcrum A lever is a bar that pivots about a point called the fulcrum. Lever 1 ft. MA=Fulcrum to Effort / Fulcrum to Load MA=3 / 1 MA=3 Lever Lever Effort Load Work = 1 lb x 3 ft = 3 ft lb Work = 3 lb x 1 ft = 3 ft lb Lever Effort Load Work = 1 lb x 3 ft = 3 ft lb Work = 3 lb x 1 ft = 3 ft lb Lever Effort Load Work = 1 lb x 3 ft = 3 ft lb Work = 3 lb x 1 ft = 3 ft lb Types of Levers Effort Load Fulcrum First Class Effort and Load on opposite sides of the Fulcrum Types of Levers Fulcrum First Class Effort and Load on opposite sides of the Fulcrum Types of Levers First Class = See Saw Types of Levers Effort Load Fulcrum Second Class Effort and Fulcrum on opposite side of the Load Types of Levers 1 lb Effort Load 4 lb Fulcrum Second Class Effort and Fulcrum on opposite side of the Load Types of Levers Fulcrum Second Class Effort and Fulcrum on opposite side of the Load Types of Levers Fulcrum Second Class Effort and Fulcrum on opposite side of the Load Types of Levers Load Effort Fulcrum Third Class Fulcrum and Load on opposite side of the Effort Types of Levers 4 lb Effort Load 1 lb Fulcrum Third Class Fulcrum and Load on opposite side of the Effort Types of Levers Fulcrum Third Class Fulcrum and Load on opposite side of the Effort Types of Levers Effort Load Fulcrum Third Class Fulcrum and Load on opposite side of the Effort Lever EXAMPLES Wheel and Axle Effort Load 6 lb Wheel and Axle Effort Load 6 lb Wheel and Axle Effort Load 6 lb Wheel and Axle MA=Wheel Diameter / Axle Diameter Effort MA=6 / 1 MA= 6 Load 6 lb Wheel and Axle 1 lb Effort Load 6 lb Wheel and Axle EXAMPLES Pulley 3 lb Effort Load 3 lb Pulley 1 Load 3 lb 3 lb Effort Pulley 3 lb Effort Load 3 lb Pulley 2 1 Effort Start Start Load Pulley 1 ½ lb Effort Load 3 lb End Start Start End Pulley 1 2 3 4 1 lb Effort Load 4 lb Pulley 1 lb Effort Load 4 lb Pulley Start End Start End Pulley EXAMPLES References: Examples Morrow, H.W. (1998). Statics and Strength of Materials, Upper Saddle River, NJ: Prentice Hall Spiegel, L. & Limbrunner, G. (year). Statics and Strength of Materials-4th ed., Englewood, NJ: Prentice Hall Door Image - j0403728.jpg; Keyboard and Mouse - j0341934.jpg; Robots Welding - j0401916.jpg; Arm - j0431692.jpg – www.office.microsoft.com/enus/clipart Pulley Image - http://en.wikipedia.org/wiki/Image:PulleyShip.JPG Crane Pulley Image - http://en.wikipedia.org/wiki/Image:Crane_pulley_4x.jpg Wheelchair and ramp - http://www.riton.com.au/wheel%20chair%20%20ramp%2014.jpg See Saw - http://en.wikipedia.org/wiki/Image:Seesaw-aa.jpg Wrench - http://en.wikipedia.org/wiki/Image:Open_ended_spanner.jpg Tractor and Auger - http://en.wikipedia.org/wiki/Image:Tractor_with_Auger_01.JPG Drill and Screw - http://en.wikipedia.org/wiki/Image:Wood_screw.jpg Spiral Staircase - http://en.wikipedia.org/wiki/Image:Cremona%2C_torrazzo_interno_02_scala_a_chiocciola.JPG Locomotive - http://en.wikipedia.org/wiki/Image:462driving.jpg Bicycle Wheel - http://en.wikipedia.org/wiki/Image:Bicycle_wheel.jpg Gears - http://en.wikipedia.org/wiki/Image:Gears_large.jpg Credits: Writer: Tad A. Douce Content Editor: Tad A. Douce Production Work: Tad A. Douce