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Group members Muhammad Asgar (23) Muhammad Ali javaid (47) Muhammad Ali shakir(48) Waqar khan niazi(50)

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“Our Topic” “GEAR TRAIN”

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“Introduction” Gear train (combination of two or more gear to transmit power) Dependence of gear nature (velocity ratio relative position of axes of shaft)

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“Types of gear train” 1. Simple gear train (only one gear on shaft) 2. Compound gear train (more than one gear on shaft)

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3. Reverted gear train (axes of the first gear and the last gear are co-axial) 4. Epicyclic gear train (not in course)

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‘Simple gear train’ When there is only one gear on each shaft,it is known as simple gear train The gears are represented by their pitch circles.

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‘IMPORTANT TERMS’ Concept of: 1-Driver 2-Follower (driven) 3-Speed ratio (N1/N2)=(T2/T1) 4-Train value (N2/N1)=(T1/T2)

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‘Odd gear’ It may be noted that when the number of intermediate gears are odd, the motion of both the gears (i.e. driver and driven or follower) is like….

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‘Even gear’ But if the number of intermediate gears are even, the motion of the driven or follower will be in the opposite direction of the driver..

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‘Explanation’ 1-(N1/N3) /(T3/T1) 2-Ideal gear 3-conclusions

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“ Compound gear train” When there are more than one gear on a shaft,it is called a compound train of gear. Need to use CGT (comparison with SGT)

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“Derivation of CGT formula” N1/N6= (T2* T4* T6) Conclusions: speed ratio=(Speed of the first driver)/ (Speed of the last driven or follower) Speed ratio=(Product of the number of teeth on the drivens) /(Product of the number of teeth on the drivers)

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“ conclusions” Train value = (Speed of the last driven or follower) / (Speed of the first driver) Train value = (Product of the number of teeth on the drivers) / (Product of the number of teeth on the drivens)

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“Important note” The gears which mesh must have the same circular pitch or module. Thus gears 1 and 2 must have the same module as they mesh together. Similarly gears 3 and 4, and gear 5 and 6 must have the same module.

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“Numerical” The gearing of a machine tool is shown in Fig.The motor shaft is connected to gear A and rotates at 975 r.p.m. The gear wheelsB,C,Dand E are fixed to parallel shafts rotating together. The final gear F is fixed on the output shaft. What is the speed of gear F? The number of teeth on each gear are as given below : Gear A B C D E F No. of teeth 20 50 25 75 26 65?

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“ Spur gear” Spur gears or straight-cut gears are the simplest type of gear. They consist of a cylinder or disk, and with the teeth projecting radially, and although they are not straight-sided in form, the edge of each tooth thus is straight and aligned parallel to the axis of rotation. These gears can be meshed together correctly only if they are fitted to parallel axles.

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“Design of spur gear” Need to explain 1-Pitch circle diameter of the driver : (For two meshing gears these are the diameters of the discs that would transmit the same velocity ratio by friction (if there was no slipping) as the gears.) 2-Circular pitch

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“Circular pitch” Circular pitch, p is the distance from one point on the pitch circle of one tooth to the corresponding point on the adjacent tooth, measured around the pitch circle..

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“Numerical or design” Two parallel shafts, about 600 mm apart are to be connected by spur gears….. One shaft is to run at 360 r.p.m. and the other at 120 r.p.m.. Design the gears, if the circular pitch is to be 25 mm.????

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‘Reverted Gear Train’ When the axes of the first gear (i.e. first driver) and the last gear (i.e. last driven or follower) are co-axial, then the gear train is known as reverted gear train. In a reverted gear train, the motion of the first gear and the last gear is like.

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Explanation& derivation

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Uses.. The reverted gear trains are used in automotive transmissions, lathe back gears, industrial speed reducers, and in clocks (where the minute and hour hand shafts are co-axial).

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‘Numerical’ The speed ratio of the reverted gear train, is to be 12. The module pitch of gears A and B is 3.125 mm and of gears C and D is 2.5 mm. Calculate the suitable numbers of teeth for the gears.? No gear is to have less than 24 teeth

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Theory of Machines 804319-3 Lecture 10 Gear Trains.

Theory of Machines 804319-3 Lecture 10 Gear Trains.

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