Free Body Diagram Gear System

The tangential component of force between gears a b and c must equal to the tangential component of force between gears a and b.

Free body diagram gear system. The torque acts in the direction of o 1. Free body diagrams do not need to be drawn to scale but it can sometimes be useful if they are. Equations of motion for a system with gears. Spur gear system with idler or a carrier gear.

As shown in figure 121 if the z axis of the orthogonal 3 axes denotes the gear shaft forces are defined as follows. 13 gearsgeneral chapter outline 13 1 types of gears 13 2 nomenclature 13 3 conjugate action 13 4 involute properties 13 5 fundamentals 13 6 contact ratio 13 7 interference 13 8 the forming of gear teeth 13 9 straight bevel gears 13 10 parallel helical gears 13 11 worm gears 13 12 tooth systems 13 13 gear trains 13 14 force analysisspur gearing 13 15 force analysisbevel gearing. The force that acts in the x axis direction is defined as the tangential force ft n the force that acts in the y axis direction is defined as the radial force. 94234 kb downloads.

A free body diagram is a diagram that depicts the directions and types of forces acting on an object. The type of. In physics and engineering a free body diagram force diagram or fbd is a graphical illustration used to visualize the applied forces moments and resulting reactions on a body in a given condition. Free body diagrams of gear trains free body pdf size.

11 7 force analysis of spur gears gear free body diagrams 22 33 aa b b 2 3 pitch circle line of action pressure angle t a2 t b3 f a2 f b3 f 23 f 32 resolve applied force into radial and tangential directions 2 a t a2 f a2 f a2 t f 32 t f a2 r f 32 f r 32 transmitted load w t ft 32 constant speed situation t d 2 w t t t a2 if we let the pitch line velocity be v wd 2 1. Gear b is an idler and it transmits torque it receives from gear a and the gear c. A mona lisa isnt required if you want to find the forces acting on a cow standing on the side of a hill feel free to represent the cow as a square you can add some spots to your square cow if youre feeling particularly artistic. 150 abstract many senior students in the authors machine elements course have difficulties in drawing a fbd free body diagram correctly which is the first step in force and stress analysis of a mechanical system.

They depict a body or connected bodies with all the applied forces and moments and reactions which act on the bodyies. It is important to label each arrow to show the magnitude of the force it represents. When the gear mesh transmits power forces act on the gear teeth. One of the challenges to those students is that.

In the system below a torque t a is applied to gear 1 with moment of inertia j 1it in turn is connected to gear 2 with moment of inertia j 2 and a rotational friction b rthe angle o 1 is defined positive clockwise o 2 is defined positive clockwise.