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Note : This picture is given as additional information
and is not a direct example of the current chapter. Chapter 13 : Gear Trains l 441 Table 13.3. Table of motions.
Revolutions of elements
No. Conditions of motion Arm A Compound
gear D-E Gear B 1. Arm fixed-compound gear D - E
rotated through + 1 revolution ( i .e .
1 rev. anticlockwise) 0 +1 – TE
TB – TD
TC 2. Arm fixed-compound gear D - E
rotated through + x revolutions 0 +x – x× TE
TB –x × TD
TC 3. Add + y revolutions to all elements +y +y 4. Total motion +y x +y +y y –x× TE
TB Gear C +y y –x × TD
TC Since the gear B is fixed, therefore from the fourth row of the table, y –x×
TB or y –x× 45
75 y – 0.6 = 0 ...(i) Also the arm A makes 100 r.p.m. clockwise, therefore
y = – 100 ...(ii) Substituting y = – 100 in equation (i), we get
– 100 – 0.6 x = 0 or x = – 100 / 0.6 = – 166.67 Hydraulic or Pneumatic Speed
Change Actuator Ratio Detection Switches Round Housing With O-ring
Seated Cooling Jacket Motor Flange Hollow Through Bore for
OUTPUT- External Spline to
Spline to Accept
Motor Shaft Housing OD Designed to meet
RAM Bore Dia, and Share Motor
Coolant Supply Model of sun and planet gears. 442 l Theory of Machines From the fourth row of the table, speed of gear C, NC = y – x × 90
= – 100 + 166.67 ×
= + 400 r.p.m.
TC = 400 r.p.m. (anticlockwise) Ans. 13.9. Compound Epicyclic Gear Train—Sun and Planet Gear
A compound epicyclic
gear train is shown in Fig. 13.9.
It consists of two co-axial shafts
S1 and S 2, an annulus gear A which
is fixed, the compound gear (or
planet gear) B -C, the sun gear D
and the arm H. The annulus gear
has internal teeth and the compound gear is carried by the arm
and revolves freely on a pin of the
arm H. The sun gear is co-axial
with the annulus gear and the arm
but independent of them. Speed Change
Output Belt Pulley The annulus gear A
meshes with the gear B and the Slide Dog
sun gear D meshes with the gea...
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- Fall '08