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IMS Engineering College, 
Ghaziabad - Delhi NCR 
LIMITS,FITS,AND 
TOLERANCES AND SURFACE 
ROUGHNESS 
SUBMITTED TO 
Prof. DEEPAK SHARMA 
SUBMITTED TO 
DIVYANSHU VERMA 
ME-1 
1214340058
Objective 
• To inform about standardization 
,interchangeability , Terms limits 
,fits and tolerances ,surface 
roughness and preferred number
TOPICS COVERED 
1- Standardization 
2- Interchangeability 
(a)definition 
(b) advantages 
3- Limits and Fits 
(a) Terminology 
(b) Types of Fits 
(c) Basis of Limit system 
(d) Limit gauge 
4- Surface roughness 
5- Preferred numbers
Standardization 
The main purpose of standardization is to establish 
mandatory or obligatory norms for the design and 
production of machines so as to reduce variations 
in their types and grades and to achieve quality 
characteristics in raw materials, semi-finished and 
finished products. 
In standardization, the concept of 
preferred numbers helps to reduce unnecessary 
variations in sizes. 
ISO- International Organization of Standard 
IS - Indian Standard
Benefits of Standardization 
• Better product quality 
• Mass production of components at low cost. 
• Easy availability of parts for replacement and 
maintenance 
• Less time and effort required to manufacture. 
• reduction in variations in size and grades of an 
article.
Interchangeability 
Definition-Situation where two or more 
items are so similar in functional and 
physical characteristics that they are 
considered equivalent in performance and 
durability. Each is capable of replacing the 
other without causing a need for alteration 
or adjustment to fulfill the same 
requirement.
Examples 
Nuts and bolts Rims Tires
Advantages For Interchangeable 
Manufacture 
• Replacement: One such part can freely replace another, 
without any custom fitting (such as filling). 
• Easy to Assembly: This interchangeability allows easy 
assembly of new devices 
• Repairing: Easier repair of existing devices. 
• Minimizing time and cost :Minimizing both the time 
and skill required of the person doing the assembly or 
repair. 
• Rapid Manufacturing :Machine tool enables the 
components to be manufactured more rapidly
Limits and Fits 
LIMITS:‐ These are two extreme permissible 
sizes of dimension between which actual dimension is 
contained . 
FITS:‐It is the relationship existing between mating 
parts with respect to amount of play or interference 
which is present when they assembled together. 
It is the degree of tightness or looseness between two 
mating parts to perform definite function
Terminology for LIMITS & FITS 
1. Basic Size:- It is the size based on which the 
dimensional deviations are given. 
2. Actual Size:- It is the size of the component by actual 
measurement after it is manufactured. It should lie 
between the two limits of size. 
3. Limits of size:- These are the maximum and minimum 
permissible sizes of the part. 
4. Maximum limit:- Is the maximum size permitted for the 
part. 
5. Minimum limit:- it is the minimum size permitted for the 
part limit of size.
Tolerance- the difference between the upper limit and lower 
limit of a dimension is called Tolerance. 
When both tolerances on one side ,system is said 
to be Unilateral. 
when tolerances is allowed on both of nominal 
size, said to be Bilateral
• Deviation:- It is the algebraic difference between a 
size, to its corresponding basic size. It may be positive, 
negative or zero. 
• Upper Deviation:- It is the algebraic difference 
between maximum limit of size and its corresponding 
basic size. 
• Lower Deviation:- It is the algebraic difference 
between minimum limit of size and its corresponding 
basic size. 
• Actual Deviation:- It is the algebraic difference 
between actual size and its corresponding basic size
• Fit- is the relationship that exists between two 
mating parts, a hole and shaft with respect to 
their dimensional difference before assembly. 
• Three types of fit .
Types of fits 
• Clearance Fit : In 
clearance Fit shaft is 
always smaller than the 
hole 
• Interference Fit: It is also 
called Press or force fit, In 
this fit shaft is always 
larger than the hole
Continued.. 
• Transition Fit: it is called 
sliding Fit . It occurs 
when the resulting fit due 
to the variations in size of 
the male and female 
components due to their 
tolerance, varies between 
clearance and interference 
fits.
Basis of limit system 
• Hole basis -Hole is keep constant and the shaft 
diameter is varied . The actual size of the hole is 
within the tolerance limit 
• Shaft basis -Shaft is kept constant and the hole 
diameter is varied .
Limit gauge 
• It inspection tool used to 
check a workpiece against its 
allowed tolerances. 
• A Go-No gauge refers to an 
inspection tool used to 
check a workpiece against 
its allowed tolerances . Its 
name derives from its use: 
the gauge has two tests; 
the check involves the 
workpiece having 
to pass one test (Go) 
and fail the other (No Go).
Surface roughness and its 
measurement 
• Each type of cutting tool leaves its own individual 
pattern which therefore can be identified. This 
pattern is known as surface finish or surface 
roughness.
Continued.. 
• Types of expressing surface roughness 
1- Centre line average method (CLA method) 
It is defined as the average value of the ordinates 
between the surface and mean line , measured on both 
side of it . 
CLA value or Ra (in microns)= 
푦1+푦2+푦3+...푦푛 
푛 
2- Root mean square method (RMS method) 
It is defined as the square root of the arithmetic 
mean of the squares of the ordinates. 
R.M.S. value(in micron)= 
(푦12 + 푦22+. . 푦푛2)/푛
Continued… 
According to the Indian Standard following symbols 
are used to denote the various degree of surface 
roughness. 
Symbols Surface roughness (Ra) in microns 
V 8 to 25 
VV 1.6 to 8 
VVV .025 to 1.6 
VVVV Less than .025
Preferred numbers 
• In industrial design, preferred numbers (also called 
preferred values) are standard guidelines for 
choosing exact product dimensions within a given 
set of constraints. Product developers must choose 
numerous lengths, distances, diameters, volumes, 
and other characteristic quantities. 
the series of preferred numbers are designated 
as R5 ,R20 and R40 respectively. 
• R5: 1.00 1.60 2.50 4.00 6.30 
• Example - If our design constraints tell us that the 
two screws in our gadget should be placed between 
32 mm and 55 mm apart, we make it 40 mm, 
because 4 is in the R5 series of preferred numbers.
Preferred numbers of the basis series 
according to ISO3
References 
• Google.com 
• K.M. Moeed 
• V. B. Bhandari
Thank you

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interchangeability

  • 1. IMS Engineering College, Ghaziabad - Delhi NCR LIMITS,FITS,AND TOLERANCES AND SURFACE ROUGHNESS SUBMITTED TO Prof. DEEPAK SHARMA SUBMITTED TO DIVYANSHU VERMA ME-1 1214340058
  • 2. Objective • To inform about standardization ,interchangeability , Terms limits ,fits and tolerances ,surface roughness and preferred number
  • 3. TOPICS COVERED 1- Standardization 2- Interchangeability (a)definition (b) advantages 3- Limits and Fits (a) Terminology (b) Types of Fits (c) Basis of Limit system (d) Limit gauge 4- Surface roughness 5- Preferred numbers
  • 4. Standardization The main purpose of standardization is to establish mandatory or obligatory norms for the design and production of machines so as to reduce variations in their types and grades and to achieve quality characteristics in raw materials, semi-finished and finished products. In standardization, the concept of preferred numbers helps to reduce unnecessary variations in sizes. ISO- International Organization of Standard IS - Indian Standard
  • 5. Benefits of Standardization • Better product quality • Mass production of components at low cost. • Easy availability of parts for replacement and maintenance • Less time and effort required to manufacture. • reduction in variations in size and grades of an article.
  • 6. Interchangeability Definition-Situation where two or more items are so similar in functional and physical characteristics that they are considered equivalent in performance and durability. Each is capable of replacing the other without causing a need for alteration or adjustment to fulfill the same requirement.
  • 7. Examples Nuts and bolts Rims Tires
  • 8. Advantages For Interchangeable Manufacture • Replacement: One such part can freely replace another, without any custom fitting (such as filling). • Easy to Assembly: This interchangeability allows easy assembly of new devices • Repairing: Easier repair of existing devices. • Minimizing time and cost :Minimizing both the time and skill required of the person doing the assembly or repair. • Rapid Manufacturing :Machine tool enables the components to be manufactured more rapidly
  • 9. Limits and Fits LIMITS:‐ These are two extreme permissible sizes of dimension between which actual dimension is contained . FITS:‐It is the relationship existing between mating parts with respect to amount of play or interference which is present when they assembled together. It is the degree of tightness or looseness between two mating parts to perform definite function
  • 10. Terminology for LIMITS & FITS 1. Basic Size:- It is the size based on which the dimensional deviations are given. 2. Actual Size:- It is the size of the component by actual measurement after it is manufactured. It should lie between the two limits of size. 3. Limits of size:- These are the maximum and minimum permissible sizes of the part. 4. Maximum limit:- Is the maximum size permitted for the part. 5. Minimum limit:- it is the minimum size permitted for the part limit of size.
  • 11.
  • 12. Tolerance- the difference between the upper limit and lower limit of a dimension is called Tolerance. When both tolerances on one side ,system is said to be Unilateral. when tolerances is allowed on both of nominal size, said to be Bilateral
  • 13. • Deviation:- It is the algebraic difference between a size, to its corresponding basic size. It may be positive, negative or zero. • Upper Deviation:- It is the algebraic difference between maximum limit of size and its corresponding basic size. • Lower Deviation:- It is the algebraic difference between minimum limit of size and its corresponding basic size. • Actual Deviation:- It is the algebraic difference between actual size and its corresponding basic size
  • 14. • Fit- is the relationship that exists between two mating parts, a hole and shaft with respect to their dimensional difference before assembly. • Three types of fit .
  • 15. Types of fits • Clearance Fit : In clearance Fit shaft is always smaller than the hole • Interference Fit: It is also called Press or force fit, In this fit shaft is always larger than the hole
  • 16. Continued.. • Transition Fit: it is called sliding Fit . It occurs when the resulting fit due to the variations in size of the male and female components due to their tolerance, varies between clearance and interference fits.
  • 17. Basis of limit system • Hole basis -Hole is keep constant and the shaft diameter is varied . The actual size of the hole is within the tolerance limit • Shaft basis -Shaft is kept constant and the hole diameter is varied .
  • 18. Limit gauge • It inspection tool used to check a workpiece against its allowed tolerances. • A Go-No gauge refers to an inspection tool used to check a workpiece against its allowed tolerances . Its name derives from its use: the gauge has two tests; the check involves the workpiece having to pass one test (Go) and fail the other (No Go).
  • 19. Surface roughness and its measurement • Each type of cutting tool leaves its own individual pattern which therefore can be identified. This pattern is known as surface finish or surface roughness.
  • 20. Continued.. • Types of expressing surface roughness 1- Centre line average method (CLA method) It is defined as the average value of the ordinates between the surface and mean line , measured on both side of it . CLA value or Ra (in microns)= 푦1+푦2+푦3+...푦푛 푛 2- Root mean square method (RMS method) It is defined as the square root of the arithmetic mean of the squares of the ordinates. R.M.S. value(in micron)= (푦12 + 푦22+. . 푦푛2)/푛
  • 21. Continued… According to the Indian Standard following symbols are used to denote the various degree of surface roughness. Symbols Surface roughness (Ra) in microns V 8 to 25 VV 1.6 to 8 VVV .025 to 1.6 VVVV Less than .025
  • 22. Preferred numbers • In industrial design, preferred numbers (also called preferred values) are standard guidelines for choosing exact product dimensions within a given set of constraints. Product developers must choose numerous lengths, distances, diameters, volumes, and other characteristic quantities. the series of preferred numbers are designated as R5 ,R20 and R40 respectively. • R5: 1.00 1.60 2.50 4.00 6.30 • Example - If our design constraints tell us that the two screws in our gadget should be placed between 32 mm and 55 mm apart, we make it 40 mm, because 4 is in the R5 series of preferred numbers.
  • 23. Preferred numbers of the basis series according to ISO3
  • 24. References • Google.com • K.M. Moeed • V. B. Bhandari