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Gear Question and answer ( exercises), Exercises of Theory of Machines

Detail description of Gear exercises with answer to understand the topic

Typology: Exercises

2013/2014

Available from 07/11/2023

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Gear Question and Answer- Mechanical Engineering
1. State law of Gearing.
The law of gearing states that for obtaining a constant velocity ratio, at any instant of teeth the common normal at
each point of contact should always pass through a pitch point, situated on the line joining the centre of rotation
of the pair of mating gears.
2. Define normal and axial pitch in helical gears.
Normal pitch is the distance between similar face of adjacent teeth, along a helix on the pitch cylinder
normal to the teeth.
Axial pitch is the distance measured parallel to the axis between similar faces of a adjacent teeth.
3. What is the maximum efficiency in worm and worm gear?
ήmax = 1-sinφ/1+sinφ
4. What are the advantages and limitations of gear drive? Write any two.
Advantages:
1. Since there is no slip, so exact velocity ratio is obtained.
2. It is more efficient and effective means of power transmission.
Limitations:
1. Manufacture of gear is complicated.
2. The error in cutting teeth may cause vibration and noise during operation.
5. Define interference.
The phenomenon when the tip of tooth undercuts the roots on its mating gear is known as interference.
6. Define cycloidal tooth profile and involute tooth profile.
A cycloid is the curve traced by a point on the circumference of a circle which rolls without slipping on a fixed
straight line.
Involute profile is defined as the locus of a point on a straight line which rolls without slipping on the
circumference of a circle.
7. Define circular pitch and diametral pitch in spur gears.
Circular pitch (pc) : It is the distance measured along the circumference of the pitch circle from a point on one
teeth to the corresponding point on the adjacent tooth.
pc=πD/T
Diametral pitch (pD) : It is the ratio of number of teeth to the pitch circle diameter.
PD=T/D=π/pc
8. Define Backslash.
It is the difference between the tooth space and the tooth thickness along the pitch circle.
Backslash = Tooth space Tooth thickness
9. What is gear train of train of wheels?
Two or more gears re made to mesh with each other to transmit power from one shaft to another. Such a
combination is called a gear train or train of wheels.
10. Write velocity ratio in compound train of wheels?
Speed of last follower Product of teeth on drivers
Speed of first driver Product of teeth on followers.
11. Define simple gear train.
When there is only one gear on each shaft, it is known as simple gear train.
12. What is reverted gear train?
When the axes of the first and last wheels are co-axial, the train is known as reverted gear train.
13. Where the epicyclic gear trains are used?
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobiles, pulley blocks,
wrist watches, etc
14. Define conjugate action.
When the tooth profiles are so shaped so as to produce a constant angular velocity ratio during Meshing, then the
surface are said to de conjugate.
15. Define Contact Ratio.
It is the ratio of the length of arc contact to the circular pitch is known as contact ratio. The value gives the
number of pairs of teeth in contact.
pf3
pf4
pf5

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Gear Question and Answer- Mechanical Engineering

1. State law of Gearing. The law of gearing states that for obtaining a constant velocity ratio, at any instant of teeth the common normal at each point of contact should always pass through a pitch point, situated on the line joining the centre of rotation of the pair of mating gears. 2. Define normal and axial pitch in helical gears.  Normal pitch is the distance between similar face of adjacent teeth, along a helix on the pitch cylinder normal to the teeth.  Axial pitch is the distance measured parallel to the axis between similar faces of a adjacent teeth. 3. What is the maximum efficiency in worm and worm gear?

ήmax = 1-sinφ/1+sinφ

4. What are the advantages and limitations of gear drive? Write any two. Advantages:

  1. Since there is no slip, so exact velocity ratio is obtained.
  2. It is more efficient and effective means of power transmission. Limitations:
  3. Manufacture of gear is complicated.
  4. The error in cutting teeth may cause vibration and noise during operation. 5. Define interference. The phenomenon when the tip of tooth undercuts the roots on its mating gear is known as interference. 6. Define cycloidal tooth profile and involute tooth profile. A cycloid is the curve traced by a point on the circumference of a circle which rolls without slipping on a fixed straight line. Involute profile is defined as the locus of a point on a straight line which rolls without slipping on the circumference of a circle. 7. Define circular pitch and diametral pitch in spur gears. Circular pitch (pc) : It is the distance measured along the circumference of the pitch circle from a point on one teeth to the corresponding point on the adjacent tooth. pc=πD/T Diametral pitch (pD) : It is the ratio of number of teeth to the pitch circle diameter. PD=T/D=π/pc 8. Define Backslash. It is the difference between the tooth space and the tooth thickness along the pitch circle. Backslash = Tooth space – Tooth thickness 9. What is gear train of train of wheels? Two or more gears re made to mesh with each other to transmit power from one shaft to another. Such a combination is called a gear train or train of wheels. 10. Write velocity ratio in compound train of wheels? Speed of last follower – Product of teeth on drivers Speed of first driver – Product of teeth on followers. 11. Define simple gear train. When there is only one gear on each shaft, it is known as simple gear train. 12. What is reverted gear train? When the axes of the first and last wheels are co-axial, the train is known as reverted gear train. 13. Where the epicyclic gear trains are used? The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobiles, pulley blocks, wrist watches, etc 14. Define conjugate action. When the tooth profiles are so shaped so as to produce a constant angular velocity ratio during Meshing, then the surface are said to de conjugate. 15. Define Contact Ratio. It is the ratio of the length of arc contact to the circular pitch is known as contact ratio. The value gives the number of pairs of teeth in contact.

16. What is an angle of obliquity in gears? It is the angle between the common normal to two gear teeth at the point of contact and the common tangent at the pitch point. It is called as pressure angle. 17. What is bevel gearing? Mention its types. When the non-parallel (or) intersecting but coplanar shafts connected by gears, they are called bevel gears and the arrangement is bevel gearing. It is of two types namely skew bevel gearing and spiral gearing. 18. What are the methods to avoid interference?

  1. The height of the teeth may be reduced.
  2. The pressure angle may be increased.
  3. The radial flank of the pinion may be cut back (undercutting). 19. What is the advantage when arc of recess is equal to arc of approach in meshing gears? When arc of recess equal to arc of approach, the work wasted by friction is minimum and efficiency of drive is maximum. 20. What do you know about tumbler gear? Tumbler gears are those which are used in lathes for reversing the direction of rotation of driven gears. 21. What you meant by non-standard gear teeth? The gear tooth obtained by modifying the standard proportions of gear teeth parameters is known as non- standard gear teeth. 22. What is meant by compound gear train? When there are more than one gear on shaft, it is called a compound gear train. 23. What is the advantage of a compound gear train over a simple gear train? The advantage of a compound gear train over a simple gear train is that a much larger speed reduction from the first shaft to the last shaft can be obtained with small gears. 24. State the methods to find the velocity ratio of epicyclic gear train. Two methods are:
  1. Tabulation method.
  2. Algebraic method. 25. What is the externally applied torques used to keep the gear train in equilibrium?
  3. Impart torque on the driving member.
  4. Resisting or holding torque on the driven member.
  5. Holding or braking torque on the fixed member.

Law of Gearing based Question and answer

1. What is meant by slope of a thread? It is the inclination of the thread with horizontal. Slope of thread = tan- 1 [Lead screw/Circumference of screw] 2. What are the effects of limiting angle of friction?

  1. If limiting angle of friction (φ) is equal to tan-1 μ,then the body will move over the plane irrespective of the magnitude of the force (F) (Limiting force of friction).

17. State the law of belting? Law of belting states that the centre line of the belt as it approaches the pulley must lie in a plane perpendicular to the axis of the pulley or must lie in the plane of the pulley, otherwise the belt will runoff the pulley. 18. What is the centrifugal effect on belts? During operation, as the belt passes over a pulley the centrifugal effect due to its weight tends to lift the belt from the pulley surface. This reduces the normal reaction and hence the frictional resistance. The centrifugal force produces additional tension in the belt. 19. Write down the disadvantage of V-belt drive over flat belt?

  1. V belt cannot be used in large distance.
  2. It is not as durable as flat belt.
  3. Since the V belt subjected to certain amount of creep therefore it is not suitable for constant speed applications such as synchronous machines, and timing devices.
  4. It is a costlier system. 20. When is the cross belt used instead of open belt?
  5. Cross belt is used where the direction of rotation of driven pulley is opposite to driving pulley.
  6. Where we need more power transmission there we can use cross belt drive. 21. Why lubrication reduces friction? In practical all the manting surfaces are having roughness with it. It causes friction. If the surfaces are smooth then friction is very less. Lubrication smoothens the manting surface by introducing oil film between it. The fluids are having high smoothness then solids and thus lubrication reduces friction. 22. What you meant by ‘crowning in pulley’? The process of increasing the frictional resistance on the pulley surface is known as crowning. It is done in order to avoid slipping of the belt. 23. What is meant by initial tension in belts? In order to increase the frictional grip between the belt and pulleys, the belt is tightened up. Due to this belt gets subjected to some tension even when the pulleys are stationary. This tension in the belt is called initial tension (T0). 24. Where does the P.I.V. drive system used? P.I.V. (Positive Infinitely variable) drive is used in an infinitely varying speed system. 25. When the intensity of pressure acting brake shoe is is assumed to uniform? The intensity of pressure is assumed to be constant when the break shoe has small angle of contact. For large angle of contact, it is assumed that the rate of wear of the shoe remains constant. 2 6. What are the various methods used for measuring the gear tooth thickness? (i) Gear tooth Vernier. (ii) Constant chord method. (iii) Base tangent method. (iv) Measurement over pins. 2 7. Name four gear errors. (i) Pitch error. (ii) Alignment error. (iii) Composite error. (iv) Thickness error. 2 8. Name the method used for checking the pitch of the gear. (iii) Step by step method. (iv) Direct angular measurement.

Basic of Gear – Question and answer

1. Mention some applications of gear drives. Gear drives are employed in many fields such as from smaller instruments to the heaviest and most powerful machines, crushers etc. Some of the common applications of gears are in hoisting machinery, rolling mill, machine tools such as lat machines, etc. 2.How are gears classified? Gears are classified based on (a) Axes of gear shafts as i) Parallel – Eg. spur, helical, herring-bone gears. ii) Intersecting – Eg. Bevel gears. iii) Non-parallel and non-intersecting – Eg.- worm, gears, Skew gears. (b) Profile of gear tooth – i) Involute gears. ii) Cycloidal gears. (c) Position of teeth on wheel rim. (D) Tooth parallel to axis of gear – Eg. Spur gears. ii) Tooth inclined to axis of gear – Eg. Helical gears. (d) Pressure angle – i) Gears with 201 pressure angle. ii) Gears with 14 1/20 pressure angle. 3.Illustrate the materials for making gears.

  1. Ferrous metals such as carbon steels, alloy steels of nickel, chromium and vanadium.
  2. Cast-iron of different grades.
  3. Non-ferrous metals such as brass, bronze, etc.
  4. Non-metals like phenolic resins nylon, Bakelite etc. Among them steel with proper heat treatment is extensively, employed in many of ‘the engineering applications. 4. Specify the types of gears-failures. a) Tooth breakage. b) Pitting of tooth surface. c) Abrasive- wears. d) Seizing of teeth etc. 5. At what occasions non-metallic gears are employed. Non-metallic gears are employed ‘where we require silent operation and low power transmission. For example, in instruments like pressure gauge and so on. 6. How are the following terms defined? a) Pressure angle (a) is the angle making by the line of action common- tangent to the pitch circles of mating pars. b) Module m is the ratio of pitch circle diameter to the number d of gear teeth, and is usually represented in millimetres. 7. Define the following terms. a) Back lash is the difference between tooth thickness and the space into ‘which it meshes, measured along the pitch circle. If we assume the tooth thickness as t, and space width as t2 then backlash = t2 – tl b) Gear ratio (i) is the ratio of number of teeth of larger gear to that of smaller gear. At is also defined as the ratio of high speed to the low speed in a gear drive. Usually, the gear ratio should always be greater than one. 8. What preliminary design considerations should be, adopted, When selecting gear drive? All kinds of gears can not be useful for all kinds of work. Hence following factors should be considered for selecting a specific type of gear drive. i) The amount of power to be transmitted. ii) Space availability. iii) Amount of gear ratio for single step. iv) Causes for gear failures and their preventing methods. v) Proper material vi) Life of gears required, usually 10,000 hours.

20. In which gear-drive, self-locking is available? Self-locking is available in worm-gear drive. 21. Write some applications of worm gear drive. Worm gear, drive find wide applications like milling machine indexing head, table fan, steering rod of automobile and so on. 22. What are the merits and demerits of worm gear drive; Merits

  1. Used for very high velocity ratio of about 100
  2. Smooth and noiseless operation.
  3. Self-locking facility is available. Demerits
  4. Low efficiency.
  5. More heat will be produced and hence this drive can be operated inside an oil reservoir or extra cooling fan is required in order to dissipate the heat from the drive.
  6. Low power transmission.