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Basics of Geometric Dimensioning & Tolerancing

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Page 1: Geometric Dimensioning Tolerancing 102

R

EV. A

G

eom

etri

c D

imen

sion

ing

&

Tole

ranc

ing

ASM

E Y1

4.5M

, 19

94

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

2 o

f 102

Tabl

e of

Con

tent

s 1.

Gen

eral

Rul

es...

......

......

......

......

......

......

......

......

.3

2. G

eom

etric

Cha

ract

eris

tics

and

Sym

bols

......

.....

8

3. D

atum

......

......

......

......

......

......

......

......

......

......

..19

4. F

orm

Tol

eran

ce...

......

......

......

......

......

......

......

..46

5. O

rient

atio

n To

lera

nce.

......

......

......

......

......

......

.54

6. P

rofil

e To

lera

nce

......

......

......

......

......

......

......

...65

7. R

unou

t Tol

eran

ce...

......

......

......

......

......

......

.....

75

8. L

ocat

ion

Tole

ranc

e...

......

......

......

......

......

......

...83

Page 2: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

3 o

f 102

1. G

ener

al R

ules

1.1.

Rul

e 1

– Li

mits

of S

ize

1.1.

1. I

ndiv

idua

l Fea

ture

of S

ize

Whe

re o

nly

a to

lera

nce

of s

ize

is s

peci

fied,

the

limits

of s

ize

of a

n in

divi

dual

feat

ure

pres

crib

e th

e ex

tent

to w

hich

var

iatio

ns in

its

geom

etric

form

and

siz

e ar

e al

low

ed.

1.1.

2. V

aria

tions

of S

ize

The

actu

al s

ize

of a

n in

divi

dual

fea

ture

at

any

cros

s-se

ctio

n sh

all

be w

ithin

the

sp

ecifi

ed to

lera

nce

of s

ize.

1.1.

3. V

aria

tions

of F

orm

(Env

elop

e Pr

inci

ple)

a)

The

sur

face

or s

urfa

ces

of a

feat

ure

shal

l not

ext

end

beyo

nd a

bou

ndar

y (e

nvel

ope)

of

per

fect

form

at M

axim

um M

ater

ial C

ondi

tion

(MM

C).

Thi

s bo

unda

ry is

the

true

geom

etric

form

repr

esen

ted

by th

e dr

awin

g. N

o va

riatio

n in

form

is p

erm

itted

if th

e fe

atur

e is

pro

duce

d at

its

MM

C li

mit

of s

ize.

n20

+0.1

-0.1

n20

.1(L

MC

)

n20

+0.1

-0.1

n20

.1 (M

MC

)

n19

.9(L

MC

)

n19

.9 (L

MC

)

n19

.9(M

MC

)

n19

.9(M

MC

)n

20.1

(MM

C)

n20

.1(L

MC

)

BOU

ND

ARY

OF

PER

FEC

T FO

RM

AT M

MC

EXTE

RN

AL F

EATU

RE

INTE

RN

AL F

EATU

RE

b) W

here

the

act

ual

loca

l si

ze o

f a

feat

ure

has

depa

rted

from

MM

C t

owar

d Le

ast

Mat

eria

l Con

ditio

n (L

MC

), a

varia

tion

in fo

rm is

allo

wed

equ

al to

the

amou

nt o

f suc

h de

partu

re.

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

4 o

f 102

c)

The

re i

s no

req

uire

men

t fo

r a

boun

dary

of

perfe

ct f

orm

as

LMC

.

1.

1.4.

Rel

atio

nshi

p be

twee

n In

divi

dual

Fea

ture

s Th

e lim

its o

f si

ze d

o no

t co

ntro

l th

e or

ient

atio

n or

loc

atio

n re

latio

nshi

p be

twee

n in

divi

dual

feat

ures

.

Feat

ures

sh

own

perp

endi

cula

r, co

axia

l, or

sy

mm

etric

al

to

each

ot

her

mus

t be

co

ntro

lled

for l

ocat

ion

or o

rient

atio

n to

avo

id in

com

plet

e dr

awin

g re

quire

men

ts.

1.2.

Rul

e 2

– A

pplic

abili

ty o

f Fea

ture

Siz

e Ap

plic

abilit

y of

mat

eria

l co

nditi

on m

odifi

er (

RFS

, M

MC

, LM

C)

is l

imite

d to

fea

ture

s su

bjec

t to

varia

tions

in s

ize.

They

may

be

datu

m f

eatu

res

or o

ther

fea

ture

s w

hose

axe

s or

cen

tre p

lane

s ar

e co

ntro

lled

by g

eom

etric

tole

ranc

es.

FO

R A

LL A

pplic

able

Geo

met

ric T

oler

ance

s: R

FS a

pplie

s w

ill re

spec

t to

the

indi

vidu

al

tole

ranc

e, d

atum

refe

renc

e, o

r bot

h, w

here

NO

MO

DIF

YIN

G S

YMBO

L is

spe

cifie

d.

.

“A

SME

Y14.

5-19

94”

j n0.5 A

j n0.5m

Am

j n0.5m

A

1.3.

Rul

e 3

All o

ther

con

trols

is im

plie

d R

egar

dles

s of

Fea

ture

Siz

e (R

FS).

1.4.

Pitc

h R

ule

a) E

ach

tole

ranc

e of

orie

ntat

ion

or p

ositi

on a

nd d

atum

refe

renc

e sp

ecifi

ed fo

r a s

crew

th

read

app

lies

to th

e ax

is o

f the

thre

ad d

eriv

ed fr

om th

e pi

tch

cylin

der.

j n0.5 A

AMAJOR n

MAJOR n

LMC

SIZE

Page 3: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

5 o

f 102

b) E

ach

tole

ranc

e of

orie

ntat

ion

or p

ositi

on a

nd d

atum

refe

renc

e sp

ecifi

ed fo

r fea

ture

s ot

her

than

scr

ew th

read

s, s

uch

as g

ears

and

spl

ines

, mus

t des

igna

te th

e sp

ecifi

c fe

atur

e to

whi

ch e

ach

appl

ies.

j n0.5 A

APD n

PD n

Inte

rnal

Thr

ead

(tapp

ing)

Exte

rnal

Thr

ead

(scr

ew)

1.

5. V

irtua

l Con

ditio

n A

cons

tant

bou

ndar

y ge

nera

ted

by t

he c

olle

ctiv

e ef

fect

s of

a s

ize

feat

ure’

s sp

ecifi

ed

MM

C o

r LM

C m

ater

ial c

ondi

tion

and

the

geom

etric

tole

ranc

e fo

r tha

t mat

eria

l con

ditio

n.

Th

e vi

rtual

con

ditio

n of

a f

eatu

re i

s th

e ex

trem

e bo

unda

ry o

f th

at f

eatu

re w

hich

re

pres

ents

the

‘wor

st c

ase’

for,

typi

cally

, suc

h co

ncer

ns a

s a

clea

ranc

e of

fit p

ossi

bilit

y re

lativ

e to

a m

atin

g pa

rt or

situ

atio

n.

PI

N:

VC =

Siz

e M

MC

+ T

oler

ance

VC =

Siz

e LM

C –

Tol

eran

ce

HO

LE:

VC =

Siz

e M

MC

– T

oler

ance

VC

= S

ize

LMC

+ T

oler

ance

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

6 o

f 102

1.6.

Ex

erci

se

1.

A(n

) __

____

____

____

___

is a

num

eric

al v

alue

exp

ress

ed i

n ap

prop

riat

e un

its o

f m

easu

re,

indi

cate

d on

a d

raw

ing

and

in d

ocum

ents

to

defin

e th

e si

ze a

nd/o

r ge

omet

ric

char

acte

rist

ics

and/

or lo

catio

ns o

f fea

ture

s of

a p

art.

2.

____

____

____

____

_ is

a g

ener

al te

rm a

pplie

d to

a p

hysi

cal p

ortio

n of

a p

art.

3.

Def

ine

Tole

ranc

e.

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

4.

All

Dim

ensi

ons

shal

l hav

e a

tole

ranc

e ex

cept

for d

imen

sion

s th

at a

re id

entif

ied

as:

a)

refe

renc

e.

b)

m

axim

um.

c)

m

inim

um.

d)

stoc

k si

zes.

e)

all o

f the

abo

ve.

5.

W

hat a

re th

e lim

it of

the

dim

ensi

on 2

5±0.

4? _

____

____

____

____

__

6.

Wha

t is t

he to

lera

nce

of th

e di

men

sion

in q

uest

ion

5?__

____

____

__

7.

Wha

t is t

he n

omin

al d

imen

sion

of t

he d

imen

sion

show

n in

que

stio

n 5?

__

____

____

____

____

_ 8.

G

ive

an e

xam

ple

of a

n eq

ual b

ilate

ral t

oler

ance

. ___

____

____

____

_ 9.

G

ive

an e

xam

ple

of a

n un

equa

l bila

tera

l tol

eran

ce. _

____

____

____

_ 10

. Giv

e an

exa

mpl

e of

a u

nila

tera

l tol

eran

ce. _

____

____

____

____

____

11

. Def

ine

Max

imum

Mat

eria

l Con

ditio

n (M

MC

).

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

12. W

hat i

s the

MM

C o

f the

feat

ure

show

n be

low

?

n15.00+

0.25

Page 4: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

7 o

f 102

13. W

hat i

s the

MM

C o

f the

feat

ure

show

n be

low

? __

____

____

____

___

n15.00+

0.25

14. D

efin

e Le

ast M

ater

ial C

ondi

tion

(LM

C).

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

_

15. W

hat i

s the

LM

C o

f the

feat

ure

show

n in

que

stio

n 12

? __

____

____

__

16

. Wha

t is t

he L

MC

of t

he fe

atur

e sh

own

in q

uest

ion

13?

____

____

___

17. L

ist

the

thre

e ge

nera

l gro

ups

rela

ted

to t

he s

tand

ard

AN

SI f

its b

etw

een

mat

ing

part

s.

1)

____

____

____

____

____

____

____

____

____

____

____

____

____

2)

____

____

____

____

____

____

____

____

____

____

____

____

____

3)

____

____

____

____

____

____

____

____

____

____

____

____

____

18

. Is t

he fi

t bet

wee

n th

e tw

o pa

rts s

how

n be

low

a c

lear

ance

or a

forc

e fit

?

____

____

____

____

____

____

____

____

____

____

____

____

____

__

19.43

19.18

n19.76

19.50

n

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

8 o

f 102

2. G

eom

etric

Cha

ract

eris

tics

and

Sym

bols

2.

1. S

ymbo

l

Type

of

Tole

ranc

e C

hara

cter

istic

Sy

mbo

l

ASM

E Y1

4.5M

-199

4

Sym

bol

ISO

Stra

ight

ness

u

u

Fl

atne

ss

c

c

Cir

cula

rity

e

e

For

Indi

vidu

al

Feat

ures

Form

Cyl

indr

icity

g

g

Pr

ofile

of a

Lin

e k

k

Fo

r In

divi

dual

or

Rel

ated

Fe

atur

es

Prof

ile

Prof

ile o

f a S

urfa

ce

d

d

Ang

ular

ity

a

a

Perp

endi

cula

rity

b

b

Ori

enta

tion

Para

llelis

m

f

f

Posi

tion

j

j

Con

cent

rici

ty

r

r

Loca

tion

Sym

met

ry

i

i

Cir

cula

r Run

out

h

h

For R

elat

ed

Feat

ures

Runo

ut

Tota

l Run

out

t

t

Page 5: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

9 o

f 102

Sy

mbo

l for

: A

SME

Y14.

5M

ISO

A

t Max

imum

Mat

eria

l C

ondi

tion

m

m

At L

east

Mat

eria

l Con

ditio

n l

l

Rega

rdle

ss o

f Fea

ture

Siz

e NONE

NONE

Proj

ecte

d To

lera

nce

Zone

p

p

Dia

met

er

n

n

Sphe

rica

l Dia

met

er

Sn

Sn

Squa

re

o

o

Num

ber o

f Pla

ces

X X

Cou

nter

bore

v

v

C

ount

ersi

nk

w

w

Dep

th

x

x

All

Roun

d

Be

twee

n

NONE

Arc

Len

gth

10

10

Radi

us

R

R

Sphe

rica

l Rad

ius

SR

SR

Con

trol

led

Radi

us

CR

NONE

Con

ical

Tap

er

y

y

Slop

e z

z

Ta

ngen

t Pla

ne

T

T

Free

Sta

te

F

F

Stat

istic

al T

oler

ance

ST

NONE

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

10

of 1

02

Radi

us, C

ontr

olle

d Ra

dius

Th

ere

are

two

type

s of

radi

i tol

eran

ce th

at c

an b

e ap

plie

d, th

e ra

dius

and

con

trolle

d ra

dius

. Th

e ra

dius

(R) t

oler

ance

is fo

r gen

eral

app

licat

ions

. Th

e co

ntro

lled

radi

us (C

R) i

s us

ed

whe

n it

is n

eces

sary

to p

lace

furth

er re

stric

tions

on

the

shap

e of

the

radi

us, a

s in

hig

h st

ress

app

licat

ions

.

12.7

12.3

CR12

.712

.3R

Min

Rad

ius 1

2.3

Min

Rad

ius 1

2.3

Max

Rad

ius 1

2.7

Max

Rad

ius 1

2.7

Part

cont

our m

ust f

all w

ithin

zone

def

ined

by

Max

and

Min

radi

us to

lera

nce

Part

cont

our m

ust b

e a

fair

curv

e w

ith n

o re

vers

als.

All

radi

i poi

nts m

ust b

e 12

.3 m

into

12.

7 m

ax.

Rad

ius,

R

Con

trol

led

Rad

ius,

CR

On dr

awing

Mean

ing

On dr

awing

Mean

ing

Page 6: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

11

of 1

02

Stat

istic

al T

oler

ance

O

ften,

tol

eran

ces

are

calc

ulat

ed o

n an

arit

hmet

ic b

asis

. T

oler

ance

s ar

e as

sign

ed t

o in

divi

dual

feat

ures

on

a co

mpo

nent

by

divi

ding

the

tota

l ass

embl

y to

lera

nce

by th

e nu

mbe

r of

com

pone

nts

and

assi

gnin

g a

porti

on o

f th

is t

oler

ance

to

each

com

pone

nt.

Whe

n to

lera

nces

are

sta

cked

up

in t

his

man

ner,

the

tole

ranc

e m

ay b

ecom

e ve

ry r

estri

ctiv

e or

tig

ht.

Stat

istic

al t

oler

anci

ng i

s th

e as

sign

men

t of

tol

eran

ces

to r

elat

ed c

ompo

nent

s of

an

asse

mbl

y on

the

basi

s of

sou

nd s

tatis

tics.

An

exam

ple

is, t

he a

ssem

bly

tole

ranc

e is

equ

al

to th

e sq

uare

root

of t

he s

um o

f the

squ

ares

of t

he in

divi

dual

tole

ranc

e.

Stat

istic

al T

oler

ance

may

be

appl

ied

to f

eatu

res

to i

ncre

ase

tole

ranc

es a

nd r

educ

e m

anuf

actu

ring

cost

. T

o en

sure

com

patib

ility,

the

lar

ger

tole

ranc

e id

entif

ied

by t

he

stat

istic

al to

lera

nce

sym

bol m

ay o

nly

be u

sed

whe

re a

ppro

pria

te s

tatis

tical

pro

cess

con

trol

will

be u

sed.

A n

ote

such

as

the

one

show

n be

low

sha

ll be

pla

ced

on th

e dr

awin

g.

16.0

715

.93

n20

.219

.8n

16.1

15.9

n

0.2

A

B

0.5

A

B

NO

TE:

FEA

TUR

ES IN

DEN

TIFI

ED A

S ST

ATI

STIC

AL

TOLE

RA

NC

E

SH

ALL

BE

PRO

DU

CED

WIT

H S

TATI

STIC

AL

PR

OC

ESS

CO

NTR

OLS

, OR

TO

TH

E M

OR

E R

ESTR

ICTI

VE

AR

ITH

MET

ICLI

MIT

S

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

12

of 1

02

Free

Sta

te

Unl

ess

othe

rwis

e sp

ecifi

ed,

all

dim

ensi

onin

g an

d to

lera

ncin

g ap

plie

s in

a f

ree

stat

e co

nditi

on w

ith n

o re

stra

int.

Som

e pa

rts,

such

as

shee

t m

etal

, th

in m

etal

, pl

astic

s an

d ru

bber

are

non

-rigi

d in

nat

ure.

It m

ay b

e ne

cess

ary

to s

peci

fy d

esig

n re

quire

men

ts o

n th

e pa

rt in

a n

atur

al o

r fre

e st

ate

as w

ell a

s in

a re

stra

ined

con

ditio

n. T

he re

stra

int o

r for

ce o

n th

e no

nrig

hi9d

par

ts is

usu

ally

app

lied

in s

uch

a m

anne

r to

res

embl

e or

app

roxi

mat

e th

e fu

nctio

nal o

r mat

ing

requ

irem

ents

. A

note

or

spec

ifica

tion

on th

e dr

awin

g sh

ould

exp

lain

how

the

part

is r

estra

ined

and

the

forc

e re

quire

d to

fac

ilitat

e th

e re

stra

int.

A s

ampl

e no

te c

an b

e fo

und

on t

he d

raw

ing

belo

w.

The

free

stat

e sy

mbo

l m

eans

tha

t di

men

sion

s an

d to

lera

nces

tha

t ha

ve t

he f

ree

stat

e sy

mbo

l app

lied

are

chec

ked

in th

e fre

e st

ate

and

not i

n th

e re

stra

ined

con

ditio

n.

3F

2 SU

RF

2 SU

RF

n4X

5

.4 -

5.6

0.2

Mn

A

BA

65

32

25

36.8

5.6

UN

LESS

OTH

ERW

ISE

SPEC

IFIE

D, A

LL U

NTO

LER

AN

CED

DIM

ENSI

ON

S A

RE

BA

SIC

. P

AR

T IS

TO

BE

RES

TRA

INED

ON

DA

TUM

A W

ITH

4 5

M S

CR

EWS

Page 7: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

13

of 1

02

ASM

E Y1

4 Se

ries

ISO

Sta

ndar

ds

Y14.

2 –

Line

s &

Lette

ring

3098

Y14.

3 –

Sect

ions

& V

iew

s12

8

Y14.

5 –

Dim

ensi

onin

g &

Tole

ranc

ing

129,

406

, 110

1, 1

660,

R

1661

, 269

2, 5

455,

54

58, 5

459,

708

3,

8015

, 105

79; (

also

14

660-

1 &

1466

0-2)

Y14.

6 –

Scre

w T

hrea

d R

epre

sent

atio

n 64

10-1

, 641

0-2,

641

0-3

Y14.

8 –

Cas

ting

& Fo

rgin

gs

Y14.

36 –

Sur

face

Tex

ture

Sy

mbo

ls

1302

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

14

of 1

02

Ba

sic

Dim

ensi

on

(theo

retic

ally

exa

ct d

imen

sion

in IS

O)

65

Ref

eren

ce D

imen

sion

(aux

iliary

dim

ensi

on

in IS

O)

(68)

A

Dat

um F

eatu

re

A

Dim

ensi

on O

rigin

Feat

ure

Con

trol F

ram

e C

BA

Ø 0

.5M

Dat

um T

arge

t Are

a Ø

8A1

A1

Ø20

D

atum

Tar

get P

oint

A1

D

atum

Tar

get L

ine

A1

Page 8: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

15

of 1

02

Geo

met

ric C

hara

ctie

ristic

Ove

rvie

w

Applicability of Datum Modifiers

N/A

N/A

N/A

N/A

N/A

Yes if size features

Yes if size features

Yes if size features

No

No

Yes if size features

Yes if size features

Yes if size features

No

No

Applicability of Feature Modifiers

No

Yes

No

No

No

No

No

Yes

No

No

Yes if size features

Yes if size features

Yes if size features

No

No

Surface

X

X

X

X

X

X

X

X

X

X

X

Controls

Axis or Median Plane

X

X

X

X

X

2D or 3D

2D

3D

3D

2D

3D

2D

3D

3D

3D

3D

3D

3D

3D

2D

3D

Symbol

u

u

c

e

g

k

d

j

r

i

a

b

f

h

t

Characteristic

Straightness Line Element Straightness Axis or Median Plane

Flatness

Circularity

Cylindricity

Profile of a Line

Profile of a Surface

Position

Concentricity

Symmetry

Angularity

Perpendicularity

Parallelism

Circular Runout

Total Runout

Type of Tolerance

Form

Profile

Location

Orientation

Runout

Datums

Datums NOT allowed

Datums Required

Datums Requied

There are special case where position and profile may not require datums These characteristics control opposing median points Can also control surface boundary Can control form, orientation and location These characteristics can be made 2D by writing “LINE ELEMENTS” under the feature control frame

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

16

of 1

02

2.2

Exe

rcis

e

A d

imen

sion

ing

and

tole

ranc

ing

tem

plat

e is

reco

mm

ende

d fo

r dra

win

g pr

oper

sy

mbo

ls o

n th

is te

st a

nd o

n fu

ture

test

s.

1.

Li

st th

e fiv

e ba

sic

type

s of

geo

met

ric

dim

ensi

onin

g an

d to

lera

ncin

g sy

mbo

ls.

a) _

____

____

____

____

____

____

____

____

____

____

____

____

____

____

___

b) _

____

____

____

____

____

____

____

____

____

____

____

____

____

____

___

c)

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

d) _

____

____

____

____

____

____

____

____

____

____

____

____

____

____

___

e)

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

2.

Nam

e th

e fiv

e ty

pes

of g

eom

etri

c ch

arac

teri

stic

sym

bols

.

a) _

____

____

____

____

____

____

____

____

____

____

____

____

____

____

___

b) _

____

____

____

____

____

____

____

____

____

____

____

____

____

____

___

c)

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

d) _

____

____

____

____

____

____

____

____

____

____

____

____

____

____

___

e)

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

3.

Nam

e ea

ch o

f the

follo

win

g ge

omet

ric

char

acte

rist

ic sy

mbo

ls.

u

____

____

____

____

___

r

____

____

____

____

___

c

____

____

____

____

___

i

____

____

____

____

___

e

____

____

____

____

___

f

____

____

____

____

___

g

____

____

____

____

___

a

____

____

____

____

___

k

____

____

____

____

___

b

____

____

____

____

___

d

____

____

____

____

___

h

____

____

____

____

___

j

____

____

____

____

___

t

____

____

____

____

___

Page 9: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

17

of 1

02

4.

Any

lette

r of t

he a

lpha

bet c

an b

e us

ed to

iden

tify

a da

tum

exc

ept f

or _

___,

___

_, o

r

____

.

5.

Whe

n m

ay d

atum

feat

ure

sym

bols

be

repe

ated

on

a dr

awin

g?

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

__

____

____

____

____

____

____

____

____

____

____

____

____

__

6.

Wha

t inf

orm

atio

n is

pla

ced

in th

e lo

wer

hal

f of t

he d

atum

targ

et sy

mbo

l?

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

__

____

____

____

____

____

____

____

____

____

____

____

____

__

7.

Wha

t inf

orm

atio

n is

pla

ced

in th

e to

p ha

lf of

the

datu

m ta

rget

sym

bol?

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

__

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

__

____

____

____

____

____

____

____

____

____

__

8.

Labe

l the

par

ts o

f the

follo

win

g fe

atur

e co

ntro

l fra

me.

(A)

(B)

(C)

(D)

(E)

(F)

(G)

j n0.05m A Bm C

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

18

of 1

02

9.

Com

plet

ely

defin

e th

e te

rm “

basi

c di

men

sion

”.

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

__

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

__

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

__

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

__

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

__

10. H

ow a

re b

asic

dim

ensi

ons

show

n on

a d

raw

ing?

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

__

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

__

____

____

____

____

____

____

____

____

____

__

11. N

ame

the

follo

win

g sy

mbo

ls.

n

____

____

____

____

___

r

____

____

____

____

___

R __

____

____

____

____

_ o

____

____

____

____

___

SR

____

____

____

____

___

(68)

____

____

____

____

___

CR

____

____

____

____

___

x

____

____

____

____

___

Sn

____

____

____

____

___

__

____

____

____

____

_

X __

____

____

____

____

_ y

__

____

____

____

____

_ v

__

____

____

____

____

_ z

__

____

____

____

____

_ w

__

____

____

____

____

_ ST

__

____

____

____

____

_

__

____

____

____

____

_ 6

5

____

____

____

____

___

Page 10: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

19

of 1

02

3. D

atum

3.1.

Dat

um C

once

pts

A

datu

m is

a th

eore

tical

ly e

xact

poi

nt, a

xis,

or

plan

e de

rived

from

the

true

geom

etric

co

unte

rpar

t of a

spe

cifie

d da

tum

feat

ure.

A d

atum

is th

e or

igin

from

whi

ch th

e lo

catio

n of

geo

met

ric c

hara

cter

istic

s of

fea

ture

s of

a p

art

are

esta

blis

hed.

D

atum

s ar

e es

tabl

ishe

d by

sp

ecifi

ed

feat

ures

or

su

rface

s.

W

here

or

ient

atio

n or

po

sitio

n re

latio

nshi

ps a

re s

peci

fied

from

a d

atum

, the

feat

ures

invo

lved

are

loca

ted

with

resp

ect

to th

is d

atum

and

not

with

resp

ect t

o on

e an

othe

r.

Ever

y fe

atur

e on

a p

art c

an b

e co

nsid

ered

a p

ossi

ble

datu

m.

That

is, e

very

feat

ure

show

n on

a d

raw

ing

depi

cts

a th

eore

tical

ly e

xact

geo

met

ric s

hape

as

spec

ified

by

the

desi

gn r

equi

rem

ents

. H

owev

er,

a fe

atur

e no

rmal

ly h

as n

o pr

actic

al m

eani

ng a

s a

datu

m u

nles

s it

is a

ctua

lly u

sed

for

som

e fu

nctio

nal

rela

tions

hip

betw

een

feat

ures

. Th

us a

dat

um a

ppea

ring

on a

n en

gine

erin

g dr

awin

g ca

n be

con

side

red

to h

ave

a du

al

natu

re: i

t is

(1)

a “c

onst

ruct

ion”

dat

um, w

hich

is g

eom

etric

ally

exa

ct r

epre

sent

atio

n of

an

y pa

rt fe

atur

e, a

nd (

2) a

“re

latio

nshi

p” d

atum

, whi

ch is

any

feat

ure

used

as

a ba

sis

for a

func

tiona

l rel

atio

nshi

p w

ith o

ther

feat

ures

on

the

part.

Sin

ce th

e da

tum

con

cept

is

used

to

esta

blis

h re

latio

nshi

ps,

the

“rela

tions

hip”

dat

um i

s th

e on

ly t

ype

used

on

engi

neer

ing

draw

ings

.

By th

e ab

ove

defin

ition

, a d

atum

on

an e

ngin

eerin

g dr

awin

g is

alw

ays

assu

med

to b

e “p

erfe

ct”.

How

ever

, sin

ce p

erfe

ct p

arts

can

not b

e pr

oduc

ed, a

dat

um o

n a

phys

ical

ly

prod

uced

par

t is

ass

umed

to

exis

t in

the

con

tact

of

the

actu

al f

eatu

re s

urfa

ce w

ith

prec

ise

man

ufac

turin

g or

insp

ectio

n eq

uipm

ent s

uch

as m

achi

ne ta

bles

, sur

face

pla

tes,

ga

ge p

ins,

etc

. T

hese

are

cal

led

datu

m s

imul

ator

s w

hich

cre

ate

sim

ulat

ed d

atum

pl

anes

, ax

es,

etc.

, an

d, w

hile

not

per

fect

ly tr

ue,

are

usua

lly o

f su

ch h

igh

qual

ity t

hat

they

ade

quat

ely

sim

ulat

e tru

e re

fere

nces

. T

his

cont

act

of t

he a

ctua

l fe

atur

e w

ith

prec

ise

equi

pmen

t is

als

o as

sum

ed t

o si

mul

ate

func

tiona

l con

tact

with

a m

atin

g pa

rt su

rface

.

Dat

um fe

atur

e: T

he a

ctua

l sur

face

of t

he p

art.

Si

mul

ated

dat

um:

The

plan

e es

tabl

ishe

d by

the

ins

pect

ion

equi

pmen

t su

ch a

s a

surfa

ce p

late

or i

nspe

ctio

n ta

ble.

Dat

um

plan

e:

The

theo

retic

ally

ex

act

plan

e es

tabl

ishe

d by

th

e tru

e ge

omet

ric

coun

terp

art o

f the

dat

um fe

atur

e.

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

20

of 1

02

3.2.

Est

ablis

hing

Dat

um P

lane

s

Dat

um f

eatu

res

are

sele

cted

bas

ed o

n th

eir

impo

rtanc

e to

the

des

ign

of t

he p

art.

Gen

eral

ly t

hree

dat

um f

eatu

res

are

sele

cted

tha

t ar

e pe

rpen

dicu

lar

to e

ach

othe

r.

Thes

e th

ree

datu

ms

are

calle

d th

e da

tum

refe

renc

e fra

me.

The

dat

ums

that

mak

e up

th

e da

tum

refe

renc

e fra

me

are

refe

rred

to a

s th

e pr

imar

y da

tum

, sec

onda

ry d

atum

, and

te

rtiar

y da

tum

. A

s th

eir

nam

es i

mpl

y, t

he p

rimar

y da

tum

is

the

mos

t im

porta

nt,

follo

wed

by

the

othe

r tw

o in

ord

er o

f im

porta

nce.

90O

90O

90O

90O

MEA

SUR

ING

DIR

ECTI

ON

FOR

REL

ATED

DIM

ENSI

ON

SESTA

BLI

SH T

ERTI

ARY

DAT

UM

PLAN

E (M

IN 1

PO

INT)

CO

NTA

CT

WIT

H D

ATU

M S

UR

FAC

E C

ESTA

BLI

SH S

ECO

ND

ARY

DAT

UM

PLAN

E (M

IN 2

PO

INT)

CO

NTA

CT

WIT

H D

ATU

M S

UR

FAC

E B

ESTA

BLI

SH P

RIM

ARY

DAT

UM

PLAN

E (M

IN 3

PO

INT)

CO

NTA

CT

WIT

H D

ATU

M S

UR

FAC

E A

Sim

ulat

ed D

atum

Sur

face

of m

anuf

actu

ring

or v

erifi

catio

n eq

uipm

ent

Dat

um P

lane

theo

retic

ally

exa

ct

Part

Dat

um F

eatu

re

Page 11: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

21

of 1

02

3.3.

Dat

um Id

entif

icat

ion

W

hen

a su

rface

is u

sed

to e

stab

lish

a da

tum

pla

ne o

n a

part,

the

datu

m fe

atur

e sy

mbo

l is

pla

ced

on th

e ed

ge v

iew

of t

he s

urfa

ce o

r on

an e

xten

sion

line

in th

e vi

ew w

here

the

surfa

ce a

ppea

rs a

s a

line.

A

lead

er li

ne m

ay a

lso

be u

sed

to c

onne

ct th

e da

tum

fe

atur

e sy

mbo

l to

the

view

in s

ome

appl

icat

ions

.

Dat

um A

xis

90o

90o

90o

Dat

um A

xis

Dire

ctio

n of

mea

sure

men

ts

Dat

um P

lane

sor

igin

of

mea

sure

men

tD

atum

Axi

s

Dat

um P

oint

Dat

um F

eatu

re S

ymbo

lpl

aced

on

edge

vie

w o

fsu

rfac

e or

ext

ensi

on li

nefr

om e

dge

view

B

C

AA

10

C30

50

B

Surf

ace

Dat

um F

eatu

re S

ymbo

lm

ust b

e of

fset

from

dim

ensi

onlin

e ar

row

head

s

D

Ang

led

Surf

ace

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

22

of 1

02

3.4.

Dat

um A

xis

A

cylin

dric

al o

bjec

t may

be

a da

tum

feat

ure.

Whe

n th

e cy

lindr

ical

dat

um fe

atur

e is

us

ed, t

he c

entre

axi

s is

kno

wn

as th

e da

tum

axi

s. T

here

are

two

theo

retic

al p

lane

s in

ters

ectin

g at

90º

. Th

ese

plan

es a

re re

pres

ente

d by

the

cent

relin

es o

f the

dra

win

g.

Whe

re th

ese

plan

es in

ters

ect i

s re

ferre

d to

as

the

datu

m a

xis.

The

dat

um a

xis

is th

e or

igin

for r

elat

ed d

imen

sion

s, w

hile

the

X an

d Y

plan

es in

dica

te th

e di

rect

ion

of

mea

sure

men

t. A

dat

um p

lane

is a

dded

to th

e en

d of

the

obje

ct to

est

ablis

h th

e da

tum

fra

me.

Pl

acem

ent o

f the

Dat

um F

eatu

re S

ymbo

l for

a D

atum

Axi

s

YT

ER

TIA

RY

DA

TU

M30

30

3030

Y

X

n80

AXIS

A

B

PAR

TPR

IMA

RY

DA

TU

M P

LA

NE

X SEC

ON

DA

RY

DA

TU

M

DA

TU

MA

XIS

n12A

A

A

n12

D

AB

0.4

M

n12

n12A

Page 12: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

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& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

23

of 1

02

Si

mul

ated

dat

um a

xis

The

sim

ulat

ed d

atum

axi

s is

the

axis

of a

per

fect

cyl

indr

ical

insp

ectio

n de

vice

that

co

ntac

ts th

e da

tum

feat

ure

surfa

ce.

For

an e

xter

nal d

atum

feat

ure,

the

insp

ectio

n de

vice

is th

e sm

alle

st (M

MC

) circ

umsc

ribed

cyl

inde

r. T

he in

spec

tion

devi

ce fo

r an

inte

rnal

dat

um fe

atur

e is

the

larg

est (

MM

C) i

nscr

ibed

cyl

inde

r.

SIM

ULA

TED

DAT

UM

SMAL

LEST

CIR

CU

MSC

RIB

EDC

YLIN

DER

DAT

UM

FEA

TUR

E (P

ART)

DAT

UM

AXI

SD

ATU

M F

EATU

RE

SIM

ULA

TOR

DAT

UM

FEA

TUR

E SI

MU

LATO

R

DAT

UM

FEA

TUR

E (P

ART)

DAT

UM

AXI

S

SIM

ULA

TED

DAT

UM

LAR

GES

T IN

SCR

IBED

CYL

IND

ER

Sim

ulat

ed d

atum

axi

s for

an

exte

rnal

dat

um fe

atur

e

Sim

ulat

ed d

atum

axi

s for

an

inte

rnal

dat

um fe

atur

e

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

24

of 1

02

3.5.

Coa

xial

Dat

um F

eatu

res

C

oaxi

al m

eans

tw

o or

mor

e cy

lindr

ical

sha

pes

that

sha

re a

com

mon

axi

s.

Coa

xial

da

tum

feat

ures

exi

st w

hen

a si

ngle

dat

um a

xis

is e

stab

lishe

d by

two

datu

m fe

atur

es

that

are

coa

xial

. W

hen

mor

e th

an o

ne d

atum

fea

ture

is u

sed

to e

stab

lish

a si

ngle

da

tum

, th

e da

tum

ref

eren

ce l

ette

rs a

re s

epar

ated

by

a da

sh a

nd p

lace

d in

one

co

mpa

rtmen

t of t

he fe

atur

e co

ntro

l fra

me.

The

se d

atum

refe

renc

e le

tters

are

of e

qual

im

porta

nce

and

may

be

plac

ed in

any

ord

er.

3.6.

Dat

um A

xis

of S

crew

Thr

eads

, Gea

rs, a

nd S

plin

es

W

hen

a sc

rew

thre

ad is

use

d as

a d

atum

axi

s, th

e da

tum

axi

s is

est

ablis

hed

from

the

pitc

h cy

linde

r un

less

oth

erw

ise

spec

ified

. I

f an

othe

r fe

atur

e of

the

scr

ew t

hrea

d is

de

sire

d, th

en n

ote

“MAJ

OR

DIA

” or

“M

INO

R D

IA”

is p

lace

d ne

xt to

the

datu

m fe

atur

e sy

mbo

l.

A sp

ecifi

c fe

atur

e su

ch a

s th

e m

ajor

dia

met

er s

houl

d be

ide

ntifi

ed w

hen

a ge

ar o

r sp

line

is u

sed

as a

dat

um a

xis.

W

hen

this

is d

one,

the

note

“M

AJO

R D

IA”,

“MIN

OR

D

IA”,

or “P

ITC

H D

IA” i

s pl

aced

nex

t to

the

datu

m fe

atur

e sy

mbo

l as

appr

opria

te.

The

use

of a

scr

ew t

hrea

d, g

ear,

or s

plin

e sh

ould

be

avoi

ded

for

use

as a

dat

um a

xis

unle

ss n

eces

sary

.

AB

0.2

A-B

t

SIM

ULA

TED

PAI

R O

F C

OAX

IAL

CIR

CU

MSC

RIB

ED C

YLIN

DER

S

THE

DR

AW

ING

THE

MEA

NIN

G

Page 13: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

25

of 1

02

3.7.

Dat

um C

ente

r Pla

ne

El

emen

ts o

n a

rect

angu

lar s

hape

d sy

mm

etric

al p

art o

r fea

ture

may

be

loca

ted

and

dim

ensi

oned

in re

latio

nshi

p to

a d

atum

cen

tre p

lane

. Th

e re

pres

enta

tion

and

rela

ted

mea

ning

of d

atum

cen

ter p

lane

sym

bols

are

as

show

n in

the

follo

win

g.

28A12

A

Dat

umC

ente

r Pla

neD

atum

Cen

ter P

lane

12 j0.2 m

ABm

C

12B

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

26

of 1

02

The

sim

ulat

ed d

atum

cen

tre p

lane

is

the

cent

re p

lane

of

a pe

rfect

rec

tang

ular

in

spec

tion

devi

ce t

hat

cont

acts

the

dat

um f

eatu

re s

urfa

ce.

For

an

exte

rnal

dat

um

feat

ure

the

datu

m c

entre

pla

ne i

s es

tabl

ishe

d by

tw

o pa

ralle

l pl

anes

at

min

imum

(M

MC

) se

para

tion.

For

an

inte

rnal

da

tum

fe

atur

e,

the

datu

m

cent

re

plan

e is

es

tabl

ishe

d by

two

para

llel p

lane

s at

max

imum

(MM

C) s

epar

atio

n.

Dat

um F

eatu

reSi

mul

ator

Dat

um C

ente

rPl

ane

A

Dat

umFe

atur

e A

Tru

e ge

omet

ric

coun

terp

art

of d

atum

feat

ure

A p

aral

lel

plan

es a

t mim

imum

sepa

rtat

ion

(MM

C)

Dat

umFe

atur

e A

Dat

um F

eatu

reSi

mul

ator

Dat

um C

ente

rPl

ane

A

Tru

e ge

omet

ric

coun

terp

art o

fda

tum

feat

ure

A p

aral

lel p

lane

sat

max

imum

sepa

rtat

ion

(MM

C)

Page 14: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

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& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

27

of 1

02

3.8.

Pat

tern

of H

oles

as

a D

atum

The

cent

er o

f a p

atte

rn o

f fea

ture

s, s

uch

as th

e ho

les

in th

e pa

rt m

ay b

e sp

ecifi

ed a

s th

e da

tum

axi

s w

hen

the

datu

m fe

atur

e sy

mbo

l is

plac

ed u

nder

, and

atta

ched

to, t

he

mid

dle

of th

e fe

atur

e co

ntro

l fra

me.

In

this

app

licat

ion,

the

datu

m a

xis

is th

e ce

nter

of

the

hole

s as

a g

roup

.

n30

B

6X n8.4

8.0

j n0.05m A

6X 60

o

A

Dat

um A

xis

B

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

28

of 1

02

3.9.

Dat

um T

arge

ts

In

man

y si

tuat

ions

it is

not

pos

sibl

e to

est

ablis

h an

ent

ire s

urfa

ce, o

r ent

ire s

urfa

ces,

as

datu

ms.

W

hen

this

hap

pens

, th

en d

atum

tar

gets

may

be

used

to

esta

blis

h da

tum

pl

anes

.

This

pr

oced

ure

is

espe

cial

ly

usef

ul

on

parts

w

ith

surfa

ce

or

cont

our

irreg

ular

ities

, suc

h as

som

e sh

eet m

etal

, san

d ca

st, o

r for

ged

parts

that

are

sub

ject

to

bow

ing

or w

arpa

ge.

This

met

hod

can

also

be

appl

ied

to w

eldm

ents

whe

re h

eat m

ay

caus

e w

arpa

ge.

Dat

um ta

rget

s ar

e de

sign

ated

poi

nts,

line

s, o

r sur

face

are

as th

at a

re

used

to e

stab

lish

the

datu

m re

fere

nce

fram

e.

45

20

N1

N1

NN

L

M

N1 N1

45

NN

n12 N1

n6

N1

4545

2020

Dat

um T

arge

tPo

int

Dat

um T

arge

tLi

ne

Dat

um T

arge

t Are

aA

rea

Show

nD

atum

Tar

get A

rea

Are

a N

ot S

how

n

LL

MM

Page 15: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

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& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

29

of 1

02

W

hen

datu

m ta

rget

poi

nts

are

used

on

a dr

awin

g to

iden

tify

a da

tum

pla

ne, t

he

datu

m p

lane

is e

stab

lishe

d by

loca

ting

pins

at t

he d

atum

tang

ent p

oint

s. T

he lo

catin

g pi

ns a

re ro

unde

d or

poi

nted

sta

ndar

d to

olin

g ha

rdw

are.

5015

40

35

15

X3X1X2

5015

X1,

X2

X3

Dat

umPl

ane

XL

ocat

ing

Pins

Dat

umFe

atur

e

The

Par

t

The

Dra

win

g

The

Fixt

ure

Setu

p

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

30

of 1

02

Area

s of

con

tact

may

als

o be

use

d to

est

ablis

h da

tum

s.

The

shap

e of

the

dat

um

targ

et a

rea

is o

utlin

ed b

y ph

anto

m li

nes

with

sec

tion

lines

thro

ugh

the

area

. C

ircul

ar

area

s ar

e di

men

sion

ed w

ith b

asic

or t

oler

ance

dim

ensi

ons

to lo

cate

d th

e ce

nter

. Th

e di

amet

er o

f the

targ

et a

rea

is p

rovi

ded

in th

e up

per h

alf o

f the

dat

um ta

rget

sym

bol o

r w

ith a

lead

er a

nd d

ot p

oint

ing

to th

e up

per h

alf.

The

loca

ting

pins

for t

arge

t are

as a

re

flat e

nd to

olin

g pi

ns w

ith th

e pi

n di

amet

er e

qual

to th

e sp

ecifi

ed s

ize

of th

e ta

rget

are

a.

20

X3,

n12

Dat

umPl

ane

X

Loc

atin

gPi

ns

Dat

umFe

atur

e

The

Fixt

ure

Setu

p

60

20

20

The

Dra

win

g

40

50n

12 X3

n12 X2

n12 X1

50 The

Par

t

X1,

n12

60

X2,

n12

Page 16: Geometric Dimensioning Tolerancing 102

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met

ric D

imen

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& T

oler

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ng

A

SME

Y14.

5M-1

994

Page

31

of 1

02

Whe

n th

e ar

ea is

too

smal

l to

accu

rate

ly o

r cle

arly

dis

play

on

a dr

awin

g, a

dat

um

targ

et p

oint

is u

sed

at th

e ce

nter

loca

tion.

The

top

half

of th

e da

tum

targ

et s

ymbo

l id

entif

ies

the

diam

eter

of t

he ta

rget

are

a.

20

X3,

n6

Dat

umPl

ane

X

Loc

atin

gPi

ns

Dat

umFe

atur

e

The

Fixt

ure

Setu

p

60

20

20

The

Dra

win

g

40

50n

6 X

3n

6 X

2

n6

X1

50 The

Par

t

X1,

n6

60

X2,

n6

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

32

of 1

02

A da

tum

targ

et li

ne is

indi

cate

d by

the

targ

et p

oint

sym

bol “

X” o

n th

e ed

ge v

iew

of t

he

surfa

ce a

nd b

y a

phan

tom

line

on

the

surfa

ce v

iew

. If

the

loca

ting

pins

are

cyl

indr

ical

, th

en th

e da

tum

targ

et li

ne is

alo

ng th

e ta

ngen

cy w

here

the

pins

mee

t the

par

t. T

he

pins

may

als

o be

kni

fe-e

dged

. A

surfa

ce is

ofte

n pl

aced

at 9

0º to

the

pin

to c

reat

e th

e da

tum

refe

renc

e fra

me.

The

Fixt

ure

Setu

p

The

Dra

win

g50

Y1

Y1

50

Y

PAR

T

LOC

ATIN

G P

IN

Page 17: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

33

of 1

02

Exam

ple

1 Fr

om A

SME

Y14.

5M-1

994,

p78

10

3

20

C1

A1

B1B2

A2

A3

C2

A

4010

0

n38

15

15

45o

45o

B2A3

A1B1

A2

C2

C1

4X n6.3-

6.4

j n0.1m

A B C

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

34

of 1

02

3.10

. Par

tial D

atum

Sur

face

A po

rtion

of a

sur

face

may

be

used

as

a da

tum

. Fo

r ex

ampl

e, th

is m

ay b

e do

ne

whe

n a

part

has

a ho

le o

r gro

up o

f hol

es a

t one

end

whe

re it

may

not

be

nece

ssar

y to

est

ablis

h th

e en

tire

surfa

ce a

s a

datu

m to

effe

ctiv

ely

loca

te th

e fe

atur

es.

This

m

ay b

e ac

com

plis

hed

on a

dra

win

g us

ing

a ch

ain

line

dim

ensi

oned

with

bas

ic

dim

ensi

ons

to s

how

the

loc

atio

n an

d ex

tent

of

the

parti

al d

atum

sur

face

. T

he

datu

m f

eatu

re s

ymbo

l is

atta

ched

to

the

chai

n lin

e.

The

datu

m p

lane

is

then

es

tabl

ishe

d at

the

loca

tion

of th

e ch

ain

line.

52

12

26T

HE

DR

AW

ING

THE

FIXT

UR

E SE

TUP

CH

AIN

LIN

E

DAT

UM

FEA

TUR

E

A

THEO

RET

ICAL

LYEX

ACT

DAT

UM

PLAN

ESI

MU

LATE

D D

ATU

M(F

IXTU

RE

SUR

FAC

E)

Page 18: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

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& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

35

of 1

02

3.11

. Exe

rcis

e 1.

Li

st th

e 3

prim

ary

item

s th

at a

re c

onsi

dere

d D

atum

feat

ures

on

an o

bjec

t or p

art.

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

_

2.

Dra

w th

e sy

mbo

l tha

t is

know

n as

the

Dat

um R

efer

ence

Sym

bol.

3.

The

prim

ary

datu

m re

quir

es a

min

imum

of _

____

____

poi

nts.

The

seco

ndar

y da

tum

requ

ires

a m

inim

um o

f ___

____

__ p

oint

s.

The

tert

iary

dat

um re

quir

es a

min

imum

of _

____

____

poi

nts.

4.

Belo

w a

re e

xam

ples

of a

hol

e (F

igur

e 1)

and

a p

in (F

igur

e 2)

that

will

be

iden

tifie

d as

da

tum

feat

ures

. Sk

etch

on

the

figur

e an

d ex

plai

n ho

w th

e da

tum

axi

s fo

r eac

h w

ould

be

det

erm

ined

. 5.

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

36

of 1

02

On

the

follo

win

g, F

igur

e 3,

iden

tify

the:

dat

um fe

atur

e, p

art,

sim

ulat

ed d

atum

, and

the

datu

m p

lane

.

a)__

____

____

____

____

b)__

____

____

____

____

d)__

____

____

____

____

c)__

____

____

____

____

Figu

re 3

O

n th

e fo

llow

ing

exer

cise

s, us

ing

the

draw

ing

prov

ided

on

next

pag

e (F

igur

e 4)

, 6.

Sp

ecify

the

left

hand

edg

e as

Dat

um A

. 7.

Sp

ecify

the

∅12

hol

e as

Dat

um D

. 8.

Sp

ecify

the

righ

t han

d ed

ge a

s D

atum

G.

9.

On

the

botto

m s

urfa

ce, s

peci

fy a

par

tial D

atum

K o

ver a

dis

tanc

e of

40

from

the

righ

t ed

ge o

f the

par

t. 10

. Spe

cify

the

righ

t han

d ed

ge o

f the

13

slot

as

Dat

um M

. 11

. Spe

cify

the

13 s

lot a

s D

atum

P.

12. S

peci

fy th

e tw

o ∅

6 ho

les

as D

atum

S.

13. D

atum

feat

ures

may

be

eith

er fe

atur

es o

f siz

e or

feat

ures

with

out s

ize.

On

the

draw

ing,

iden

tify

feat

ures

of s

ize

by p

laci

ng a

‘Z’ n

ext t

o th

em, a

nd id

entif

y th

e fe

atur

es w

ithou

t siz

e by

pla

cing

an

‘x’ n

ext t

o th

em.

Page 19: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

37

of 1

02

151

50

114

25

32

51

6 THRU 2X

16

13

70

16

12 THRU

Figure 4

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

38

of 1

02

14. W

hat i

s th

e re

latio

nshi

p be

twee

n th

e ce

nter

pla

ne o

f the

slo

t and

the

cent

er p

lane

of t

he

part

? W

hat i

s the

tota

l loc

atio

n to

lera

nce

that

the

cent

er p

lane

of t

he sl

ot v

ary

from

the

cent

er p

lane

of t

he p

art?

Is d

esig

n in

tent

cle

ar?

14+1 20

+ 0.

5

40+1

7+ 0

.5

PLU

S/M

INU

SM

ETH

OD

A

POSI

TIO

NA

LM

ETH

OD

FUN

CTI

ON

AL

GA

GE

Page 20: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

39

of 1

02

The

pict

ure

belo

w re

pres

ents

a c

ast p

art.

It w

as d

eter

min

ed th

at th

e pa

rt s

houl

d ha

ve

datu

m ta

rget

s sp

ecifi

ed to

sta

ndar

dise

the

initi

al m

achi

ning

set

-up.

On

the

draw

ing

next

pa

ge, s

ketc

h th

e da

tum

targ

ets i

n pr

oper

form

at a

s you

wou

ld e

xpec

t to

see

them

on

an

engi

neer

ing

draw

ing.

Sur

face

X s

houl

d ha

ve th

ree

∅10

targ

et p

ads,

Sur

face

Y s

houl

d ha

ve tw

o ta

rget

s lin

es o

f con

tact

and

Sur

face

Z sh

ould

hav

e on

e po

int o

f con

tact

. A

rran

ge

thes

e ta

rget

s on

the

indi

cate

d su

rfac

es to

you

r pre

fere

nce.

Sho

w a

ll ba

sic

dim

ensi

ons

and

just

est

imat

e th

e di

stan

ces.

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

40

of 1

02

Z

X

Y

1.18

0.39

0.69

0.49

0.28

X

0.39

2.76

380

70

12.5

10

10

17.530

7

Page 21: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

41

of 1

02

152

24

74

0

0

74

24

120

128

96

6450

24

2020

6450

24

Ø 38.5 - 40.0

C B A Ø 0.4M

B

C

28A

Understanding Datum ReferenceFrame Application (DRF)Example 1

A Ø 0.12

Y

X

Y

Z

Degrees of Freedom MatrixRxRyRzTxTyTz

DatumFeatures

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

42

of 1

02

152

24

74

120

128

74

24

120

128

96

6450

24

2020

6450

24

Ø 38.5 - 40.0

B

C

28A

Understanding Datum ReferenceFrame Application (DRF)Example 2

A B C Ø 0.4MA Ø 0.12

Y

X

Y

Z

Degrees of Freedom MatrixRxRyRzTxTyTz

DatumFeatures

Page 22: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

43

of 1

02

24

7446 74

24

46

2424

B

C

A

Understanding Datum ReferenceFrame Application (DRF)Example 3

Ø 19.0 - 19.3B D A Ø 0.25M

Y

X

Y

Z

DMB A

What effect does the MMC Modifierhave in this second FCF arrangement?

D

5050

Ø 38.5 - 40.0C B A Ø 0.4M

A Ø 0.12

RxRyRzTxTyTzDatumFeatures

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

44

of 1

02

48

7446 74

48

46

2424

B

C

A

Understanding Datum ReferenceFrame Application (DRF)Example 4

Y

X

Y

Z

E

Ø 0.98 22.2 - 22.5

A E D Ø 0.25M1.

2.

3.

EMA D

EMA DM

5050

D

Ø 38.5 - 40.0C B A Ø 0.4M

A Ø 0.12

Ø 19.0 - 19.3B D A Ø 0.25M

RxRyRzTxTyTzDatumFeatures

Page 23: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

45

of 1

02

48

7446 74

48

46

25.56 24

B

C

A

Understanding Datum ReferenceFrame Application (DRF)Example 5

Y

X

Y

Z

G

5050

Ø 0.98 22.2 - 22.5

B D A Ø 0.25M

D

Ø 38.5 - 40.0C B A Ø 0.4M

A Ø 0.12

Ø 19.0 - 19.3B D A Ø 0.25MD - G

Degrees of Freedom Matrix

Features

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

46

of 1

02

4. F

orm

Tol

eran

ce

4.1.

Str

aigh

tnes

s

Line

Ele

men

t – P

lane

Sur

face

0.05

0.1

ON

TH

E D

RA

WIN

G

ME

AN

ING

0.1

Tole

ranc

e0.

05 T

oler

ance

Each

long

itudi

nal e

lem

ent o

f the

surf

ace

mus

t lie

be

twee

n tw

o pa

ralle

l lin

es 0

.05

apar

t in

the

left

view

an

d 0.

1 in

the

right

vie

w o

f the

dra

win

g.

Page 24: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

47

of 1

02

Line

Ele

men

t – C

ylin

der

Axi

s at

Reg

ardl

ess

of F

eatu

re S

ize

(RFS

)

The

deriv

ed m

edia

n lin

e of

the

feat

ure’

s act

ual l

ocal

size

mus

t lie

with

in a

cyl

indr

ical

tole

ranc

e zo

ne o

f 0.0

4 di

amet

er, r

egar

dles

s of t

he fe

atur

e si

ze.

Each

circ

ular

ele

men

t of t

he su

rfac

e m

ust b

e w

ithin

the

spec

ified

lim

its o

f siz

e.

ON

TH

E D

RA

WIN

G

ME

AN

ING

0.02

wid

e to

lera

nce

zone

0.02

wid

e to

lera

nce

zone

0.02

wid

e to

lera

nce

zone

n16.00

MMC

n16.00 MMC

n16.00 MMC

(a)

(b)

(c)

n16

.00

15.8

9

0.02

Each

long

itudi

nal e

lem

ent o

f the

surf

ace

mus

t lie

be

twee

n tw

o pa

ralle

l lin

es 0

.02

apar

t whe

re th

e tw

o lin

es a

nd th

e no

min

al a

xis o

f the

par

t sha

re a

sp

ecifi

ed li

mits

of s

ize

and

the

boun

dary

of

perf

ect f

orm

at M

MC

16.

00

Not

e: W

aist

ing

(b) o

r bar

relin

g (c

) of t

he su

rfac

e,

thou

gh w

ithin

the

stra

ight

ness

tole

ranc

e, m

ust

not e

xcee

d th

e lim

its o

f siz

e of

the

feat

ure

ON

TH

E D

RAW

ING

MEA

NIN

G

n16.00

0.04

dia

met

er to

lera

nce

zone

n16.04

oute

r bou

ndar

y

n0.04

n16

.00

15.8

9

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

48

of 1

02

Axi

s at

Max

imum

Mat

eria

l Con

ditio

n (M

MC

) Ac

cept

ance

Bou

ndar

y

ON

TH

E D

RAW

ING

n16.04

Virtu

al C

ondi

tion

MEA

NIN

G Feat

ure

Dia

met

er to

lera

nce

Size

zone

allo

wed

16.0

00.

0415

.99

0.05

15.9

80.

06

15.9

00.

1415

.89

0.15

n0.04m

n16

.00

15.8

9

The

deriv

ed m

edia

n lin

e of

the

feat

ure’

s act

ual l

ocal

size

m

ust l

ie w

ithin

a c

ylin

dric

al to

lera

nce

zone

of 0

.04

diam

eter

at M

MC

. A

s eac

h ac

tual

loca

l siz

e de

parts

fr

om M

MC

, an

incr

ease

in th

e lo

cal d

iam

eter

of t

he

tole

ranc

e cy

linde

r is a

llow

ed w

hich

is e

qual

to th

e am

ount

of s

uch

depa

rture

. Ea

ch c

ircul

ar e

lem

ent o

f the

su

rfac

e m

ust b

e w

ithin

the

spec

ified

lim

its o

f siz

e. n

16.00

n16.00

n16.04

n16.04

n0.04

n16.04

n15.89

n0.15

• Th

e m

axim

um d

iam

eter

of t

he p

in w

ith

perf

ect f

orm

is sh

own

in a

gag

e w

ith a

16

.04

diam

eter

hol

e.

• W

ith th

e pi

n at

max

imum

dia

met

er 1

6.00

, th

e ga

ge w

ill a

ccep

t the

pin

with

up

to

0.04

var

iatio

n in

stra

ight

ness

. •

With

the

pin

at m

inim

um d

iam

eter

15.

89,

the

gage

will

acc

ept t

he p

in w

ith u

p to

0.

15 v

aria

tion

in st

raig

htne

ss.

Page 25: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

49

of 1

02

Per U

nit L

engt

h 4.

2. F

latn

ess

ON

TH

E D

RAW

ING

MEA

NIN

G

n16

.00

15.8

9

100

n0.

4n

0.1/

25

100

25

n16

.04

oute

r bou

ndar

y

n15

.89-

16.0

0

n16

.04

tole

ranc

e zo

ne

n0.

1 to

lera

nce

zone

in e

ach

25m

m o

f len

gth

The

deriv

ed m

edia

n lin

e of

th

e fe

atur

e’s a

ctua

l loc

al si

ze

mus

t lie

with

in a

cyl

indr

ical

to

lera

nce

zone

of n

0.4

for t

he

tota

l 100

mm

of l

engt

h an

d w

ithin

a 0

.1 c

ylin

dric

al

tole

ranc

e zo

ne fo

r any

25m

m

leng

th, r

egar

dles

s of f

eatu

re

size

. Ea

ch c

ircul

ar e

lem

ent o

f th

e su

rfac

e m

ust b

e w

ithin

the

spec

ified

lim

its o

f siz

e.

0.25

wid

e to

lera

nce

zone

0.25

ON

TH

E D

RA

WIN

GM

EA

NIN

G

The

surf

ace

mus

t lie

bet

wee

n tw

o pa

ralle

l pla

nes 0

.25

apar

t. T

he

surf

ace

mus

t be

with

in th

e sp

ecifi

ed li

mits

of s

ize.

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

50

of 1

02

4.3.

Circ

ular

ity (R

ound

ness

) 4.

4. C

ylin

dric

ity

ON

TH

E D

RAW

ING

MEA

NIN

G

A A

0.25

wid

e to

lera

nce

zone

SEC

TIO

N A

-A

900.

25

ON

THE

DR

AWIN

GM

EAN

INGSE

CTI

ON

A-A

0.25

wid

e to

lera

nce

zone

0.25

Sn19

.2+0

.5

A A

Each

circ

ular

ele

men

t of t

he su

rfac

e in

a p

lane

per

pend

icul

ar to

an

axis

mus

t lie

bet

wee

n tw

o co

ncen

tric

circ

les,

one

havi

ng a

radi

us 0

.25

larg

er th

an th

e ot

her.

Eac

h ci

rcul

ar e

lem

ent o

f the

su

rfac

e m

ust b

e w

ithin

the

spec

ified

lim

its o

f siz

e.

Each

circ

ular

ele

men

t of t

he

surf

ace

in a

pla

ne p

assi

ng

thro

ugh

a co

mm

on c

ente

r mus

t lie

bet

wee

n tw

o co

ncen

tric

circ

les,

one

havi

ng a

radi

us 0

.25

larg

er th

an th

e ot

her.

Eac

h ci

rcul

ar e

lem

ent o

f the

surf

ace

mus

t be

with

in th

e sp

ecifi

ed

limits

of s

ize.

MEA

NIN

G

0.25

wid

e to

lera

nce

zone

ON

TH

E D

RAW

ING

n25

.0+0

.5 0.25

The

cylin

dric

al su

rfac

e m

ust l

ie b

etw

een

two

conc

entri

c cy

linde

rs, o

ne h

avin

g a

radi

us 0

.25

larg

er th

an

the

othe

r. T

he su

rfac

e m

ust b

e w

ithin

the

spec

ified

lim

its o

f siz

e.

Page 26: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

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& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

51

of 1

02

4.5.

Exe

rcis

e 1.

O

n Fi

gure

1(a

), in

dica

te c

ontr

ol o

f el

emen

t st

raig

htne

ss b

y us

e of

Rul

e #1

so

that

m

axim

um p

ossi

ble

erro

r is

no m

ore

than

mm

if th

e fe

atur

e m

axim

um s

ize

is ∅

16m

m.

2.

On

Figu

re 1

(b),

indi

cate

an

elem

ent s

trai

ghtn

ess m

axim

um o

f 0.0

12m

m.

3.

Wha

t is

the

circ

ular

ity (r

ound

ness

) of t

his

pin?

___

____

____

____

____

____

____

4.

On

Figu

re 1

(c),

indi

cate

tha

t ax

is s

trai

ghtn

ess

may

vio

late

Rul

e #1

and

allo

w a

tot

al

bend

of u

p to

0.4

mm

. 5.

O

n Fi

gure

1(d

), as

sum

e th

at th

e pi

n w

ill a

ssem

ble

with

the

hole

sho

wn

in 1

(e).

The

cond

ition

of

____

____

____

__ i

s of

ten

desi

red.

In

dica

te t

his

with

a s

trai

ghtn

ess

tole

ranc

e of

0.4

mm

.

6.

Wha

t is

the

cylin

dric

ity o

f thi

s pi

n? _

____

____

____

____

__

7.

Wha

t is t

he V

irtu

al C

ondi

tion

of th

e pi

n fo

r the

requ

irem

ent o

f que

stio

n 5?

___

__

8.

On

Figu

re 2

, ind

icat

e on

the

bot

tom

sur

face

a c

ontr

ol t

hat

requ

ires

all

elem

ents

and

po

ints

rela

tive

to e

ach

othe

r be

with

in a

tole

ranc

e zo

ne th

at is

two

plan

es

whi

ch a

re 0

.05m

m a

part

. Th

is c

ontr

ol w

ould

be

calle

d __

____

____

____

____

__

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

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Y14.

5M-1

994

Page

52

of 1

02

Ø 1

6.00

- 15

.97

Ø 1

6.00

- 15

.97

Ø 1

6.0

- 15.

9

Ø (Virt

ual C

ondi

tion)

Figu

re 1

(d)

(a)

(b)

(c)

(e)

Page 27: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

53

of 1

02

30 30 °

4545

± 0

.445

18 ±

0.4

110.

0011

0 ±

0.6

4540

± 0

.445

20 ±

0.4

28 °

Ø 1

2+

0.1

- 0

MAI

N V

IEW

Figu

re 2

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

54

of 1

02

5. O

rient

atio

n To

lera

nce

5.1.

Par

alle

lism

Surf

ace

Plan

e

Th

e su

rfac

e m

ust l

ie b

etw

een

two

para

llel p

lane

s 0.1

2 ap

art w

hich

are

par

alle

l to

datu

m p

lane

A.

The

surf

ace

mus

t be

with

in th

e sp

ecifi

ed li

mits

of s

ize.

Axi

s re

late

d to

a S

urfa

ce P

lane

Reg

ardl

ess o

f fea

ture

size

, the

feat

ure

axis

mus

t lie

bet

wee

n tw

o pa

ralle

l pla

nes 0

.12

apar

t whi

ch

are

para

llel t

o da

tum

pla

ne A

. Th

e fe

atur

e ax

is m

ust b

e w

ithin

the

spec

ified

tole

ranc

e of

loca

tion.

Wha

t wou

ld b

e th

e re

sult

if a

diam

eter

sym

bol w

as a

dded

to th

e ca

llout

?

0.1

2

MEA

NIN

GO

N T

HE

DR

AWIN

G

0.12

Af

A

Poss

ible

orie

ntat

ion

of th

e su

rface

0.12

wid

e to

lera

nce

zone

Dat

umPl

ane

A

MEA

NIN

GO

N T

HE

DR

AWIN

G

0.12

Af

A

0.12

wid

e to

lera

nce

zone

Dat

um P

lane

A

Poss

ible

orie

ntat

ion

of fe

atur

e ax

is

Page 28: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

55

of 1

02

Axi

s re

late

d to

ano

ther

Axi

s at

Reg

ardl

ess

of F

eatu

re S

ize

(RFS

)

R

egar

dles

s of f

eatu

re si

ze, t

he fe

atur

e ax

is m

ust l

ie w

ithin

a 0

.2 d

iam

eter

cyl

indr

ical

zon

e pa

ralle

l to

datu

m a

xis A

. Th

e fe

atur

e ax

is m

ust b

e w

ithin

the

spec

ified

tole

ranc

e of

loca

tion.

Axi

s re

late

d to

ano

ther

Axi

s at

Max

imum

Mat

eria

l Con

ditio

n (M

MC

)

Whe

re th

e fe

atur

e is

at m

axim

um m

ater

ial c

ondi

tion

(10.

000)

, the

max

imum

par

alle

lism

tole

ranc

e is

n0.

050.

Whe

re th

e fe

atur

e de

parts

from

its M

MC

size

, an

incr

ease

in th

e pa

ralle

lism

tole

ranc

e is

al

low

ed w

hich

is e

qual

to th

e am

ount

of s

uch

depa

rture

. Th

e fe

atur

e ax

is m

ust b

e w

ithin

the

spec

ified

tole

ranc

e of

loca

tion.

n0.2

Af

A

n0.

2to

lera

nce

zone

Poss

ible

orie

ntat

ion

of fe

atur

e ax

is

Dat

um A

xis

A

MEA

NIN

GO

N T

HE

DR

AWIN

G

n0.05m

Af

A

Poss

ible

orie

ntat

ion

offe

atur

e ax

is

Dat

um A

xis

A

MEA

NIN

GO

N T

HE

DR

AWIN

G

10.022

10.000

n

Feat

ure

Dia

met

er to

lera

nce

Size

zone

allo

wed

10.0

000.

050

10.0

010.

051

10.0

020.

052

10.0

210.

071

10.0

220.

072

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

56

of 1

02

5.2.

Per

pend

icul

arity

Surf

ace

Plan

e

Th

e su

rfac

e m

ust l

ie b

etw

een

two

para

llel p

lane

s 0.1

2 ap

art w

hich

are

per

pend

icul

ar to

dat

um p

lane

A

. Th

e su

rfac

e m

ust b

e w

ithin

the

spec

ified

lim

its o

f siz

e.

Cen

ter P

lane

R

egar

dles

s of f

eatu

re si

ze, t

he fe

atur

e ce

nter

pla

ne m

ust l

ie b

etw

een

two

para

llel p

lane

s 0.1

2 ap

art

whi

ch a

re p

erpe

ndic

ular

to d

atum

pla

ne A

. Th

e fe

atur

e ce

nter

pla

ne m

ust b

e w

ithin

the

spec

ified

to

lera

nce

of lo

catio

n.

MEA

NIN

GO

N T

HE

DR

AWIN

G

A

Poss

ible

orie

ntat

ion

of th

esu

rface

0.12

wid

e to

lera

nce

zone

Dat

um P

lane

A

0.12

Ab

MEA

NIN

GO

N T

HE

DR

AWIN

GPo

ssib

le o

rient

atio

n of

the

feat

ure

cent

er p

lane

0.12

wid

eto

lera

nce

zone Dat

um P

lane

A

0.12A b

A

Page 29: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

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& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

57

of 1

02

Axi

s to

Axi

s R

egar

dles

s of f

eatu

re si

ze, t

he fe

atur

e ax

is m

ust l

ie b

etw

een

two

para

llel p

lane

s 0.2

apa

rt w

hich

are

pe

rpen

dicu

lar t

o da

tum

axi

s A.

The

feat

ure

axis

mus

t be

with

in th

e sp

ecifi

ed to

lera

nce

of lo

catio

n.

Not

e: T

his a

pplie

s onl

y to

the

view

on

whi

ch it

is sp

ecifi

ed.

Axi

s to

Pla

ne (R

FS)

Reg

ardl

ess o

f fea

ture

size

, the

feat

ure

axis

mus

t lie

with

in a

cyl

indr

ical

zon

e 0.

4 di

amet

er w

hich

is

perp

endi

cula

r to

and

proj

ects

from

dat

um p

lane

A fo

r the

feat

ure

heig

ht.

The

feat

ure

axis

mus

t be

with

in th

e sp

ecifi

ed to

lera

nce

of lo

catio

n.

MEA

NIN

GO

N T

HE

DR

AWIN

G

0.2

Ab

A

0.2

wid

eto

lera

nce

zone

Dat

um A

xis

A

Poss

ible

orie

ntat

ion

of fe

atur

e ax

is

MEA

NIN

GO

N T

HE

DR

AWIN

G

n0.

4A

b

A

0.4

diam

eter

tole

ranc

e zo

ne

Dat

um P

lane

A

Poss

ible

orie

ntat

ion

of fe

atur

e ax

is

25+0.5

FeatureHeight

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

58

of 1

02

Axi

s to

Pla

ne (M

MC

) W

here

the

feat

ure

is a

t max

imum

mat

eria

l con

ditio

n (1

5.98

4), t

he m

axim

um p

erpe

ndic

ular

ity

tole

ranc

e is

n0.

050.

Whe

re th

e fe

atur

e de

parts

from

its M

MC

size

, an

incr

ease

in th

e pe

rpen

dicu

larit

y to

lera

nce

is a

llow

ed w

hich

is e

qual

to th

e am

ount

of s

uch

depa

rture

. Th

e fe

atur

e ax

is m

ust b

e w

ithin

the

spec

ified

tole

ranc

e of

loca

tion.

(A

)The

max

imum

dia

met

er p

in w

ith p

erfe

ct o

rient

atio

n is

show

n in

a g

age

with

a 1

6.03

4 di

amet

er

hole

. (B

)With

the

pin

at m

axim

um d

iam

eter

(15.

984)

, the

gag

e w

ill a

ccep

t the

par

t with

up

to 0

.05

varia

tion

in p

erpe

ndic

ular

ity.

(C)T

he p

in is

at m

inim

um d

iam

eter

(15.

966)

, and

the

varia

tion

in p

erpe

ndic

ular

ity m

ay in

crea

se to

0.

068

and

the

part

will

be

acce

ptab

le.

MEA

NIN

G

ON

TH

E D

RAW

ING

AD

atum

Pla

ne A

Poss

ible

orie

ntat

ion

offe

atur

e ax

is

25+0.5

FeatureHeight

n0.

05m

Ab

15.984

15.966

n

Feat

ure

Dia

met

er to

lera

nce

Size

zone

allo

wed

15.9

840.

050

15.9

830.

051

15.9

820.

052

15.9

760.

067

15.9

660.

068

Dat

umPl

ane

A

ACC

EPTA

NC

E B

OU

ND

AY

n16.034

n16.034

n16.034

n0.050

n15.984

n0.068

n15.966

n15.984

(A)

(B)

(C)

Page 30: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

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& T

oler

anci

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A

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Y14.

5M-1

994

Page

59

of 1

02

5.3.

Ang

ular

ity

Surf

ace

Plan

e

Th

e su

rfac

e m

ust l

ie b

etw

een

two

para

llel p

lane

s 0.4

apa

rt w

hich

are

incl

ined

at 3

0o to

dat

um p

lane

A

. Th

e su

rfac

e m

ust b

e w

ithin

the

spec

ified

lim

its o

f siz

e.

Axi

s to

Sur

face

Pla

ne

Reg

ardl

ess o

f fea

ture

size

, the

feat

ure

axis

mus

t lie

bet

wee

n tw

o pa

ralle

l pla

nes 0

.2 a

part

whi

ch a

re

incl

ined

60o

to d

atum

pla

ne A

. Th

e fe

atur

e ax

is m

ust b

e w

ithin

the

spec

ified

tole

ranc

e of

loca

tion.

ON

TH

E D

RAW

ING

AD

atum

Pla

ne A

Poss

ible

orie

ntat

ion

ofac

tual

sur

face

0.4

wid

e to

lera

nce

zone

30o

0.4

Aa

30o

MEA

NIN

G

MEA

NIN

G

ON

TH

E D

RAW

ING

0.2

wid

eto

lera

nce

zone

Dat

um P

lane

A

Poss

ible

orie

ntat

ion

of fe

atur

e ax

is

60o

60o

n16

0.2

Aa

A

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

60

of 1

02

Reg

ardl

ess o

f fea

ture

size

, the

feat

ure

axis

mus

t lie

with

in a

0.2

dia

met

er c

ylin

dric

al z

one

incl

ined

60

o to

dat

um p

lane

A.

The

feat

ure

axis

mus

t be

with

in th

e sp

ecifi

ed to

lera

nce

of lo

catio

n.

5.4.

Use

of T

ange

nt P

lane

Sym

bol

A p

lane

con

tact

ing

the

high

poi

nts o

f the

surf

ace

shal

l lie

with

in tw

o pa

ralle

l pla

nes 0

.1 a

part.

The

su

rfac

e m

ust b

e w

ithin

the

spec

ified

lim

its o

f siz

e.

MEA

NIN

GO

N T

HE

DR

AW

ING

A0.

1 w

ide

tole

ranc

e zo

ne

Tang

ent P

lane

0.1

TA

f

50.0+.05

MEA

NIN

G

ON

TH

E D

RAW

ING

n0.

2 to

lera

nce

zone

Dat

um P

lane

A

Poss

ible

orie

ntat

ion

of fe

atur

e ax

is

60o

60o

n16n

0.2

Aa

B

AB

Page 31: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

61

of 1

02

5.5.

Use

of Z

ero

Tole

ranc

e at

MM

C

Whe

re th

e fe

atur

e is

at m

axim

um m

ater

ial c

ondi

tion

(50.

00),

its a

xis m

ust b

e pe

rpen

dicu

lar t

o da

tum

pla

ne A

. W

here

the

feat

ure

depa

rts fr

om it

s MM

C si

ze, a

per

pend

icul

arity

tole

ranc

e is

al

low

ed w

hich

is e

qual

to th

e am

ount

of s

uch

depa

rture

. Th

e fe

atur

e ax

is m

ust b

e w

ithin

the

spec

ified

tole

ranc

e of

loca

tion.

Whe

re th

e fe

atur

e is

at m

axim

um m

ater

ial c

ondi

tion

(50.

00),

its a

xis m

ust b

e pe

rpen

dicu

lar t

o da

tum

pla

ne A

. W

here

the

feat

ure

depa

rts fr

om it

s MM

C si

ze, a

per

pend

icul

arity

tole

ranc

e is

al

low

ed w

hich

is e

qual

to th

e am

ount

of s

uch

depa

rture

, up

to th

e 0.

1 m

axim

um.

The

feat

ure

axis

m

ust b

e w

ithin

the

spec

ified

tole

ranc

e of

loca

tion.

MEA

NIN

G

ON

TH

E D

RA

WIN

G

AD

atum

Plan

e A

Poss

ible

orie

ntat

ion

of fe

atur

e ax

is

Feat

ure

Dia

met

er to

lera

nce

Size

zone

allo

wed

50.0

00.

0050

.01

0.01

50.0

20.

02

50.1

00.

10

50.1

60.

10

50.16

50.00

n b n

0 m n

0.1

MA

X A

MEA

NIN

G

ON

TH

E D

RA

WIN

G

AD

atum

Plan

e A

Poss

ible

orie

ntat

ion

of fe

atur

e ax

is

Feat

ure

Dia

met

er to

lera

nce

Size

zone

allo

wed

50.0

00.

0050

.01

0.01

50.0

20.

02

50.1

50.

1550

.16

0.16

b n

0 m

A

50.16

50.00

n

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

62

of 1

02

5.6.

Exe

rcis

e 1.

O

n Fi

gure

2, i

ndic

ate

that

the

righ

t ver

tical

sur

face

in th

e m

ain

view

is to

be

squa

re to

th

e lo

wer

surf

ace

with

in 0

.08m

m.

2.

Show

bel

ow (s

ketc

h) h

ow th

e to

lera

nce

zone

is e

stab

lishe

d fo

r the

requ

irem

ent o

f qu

estio

n 1.

3.

W

orki

ng o

n Fi

gure

2, i

ndic

ate

that

the

righ

t ver

tical

sur

face

is to

be

squa

re w

ith th

e fr

ont s

urfa

ce w

ithin

0.0

8mm

. 4.

A

ssum

e th

at in

Fig

ure

2, th

e ∅

12m

m h

ole

has b

een

loca

ted

with

pos

ition

dim

ensi

ons

and

tole

ranc

e. A

dd a

n or

ient

atio

n to

lera

nce

to c

ontr

ol th

e re

latio

nshi

p of

the

hole

to

the

botto

m s

urfa

ce w

ithin

∅0.

08m

m to

tal.

5.

Sket

ch h

ow th

e to

lera

nce

zone

is e

stab

lishe

d fo

r the

requ

irem

ent o

f que

stio

n 4.

6.

W

hat i

s th

e to

tal p

erm

issi

ble

perp

endi

cula

rity

if th

e ho

le s

ize

is p

rodu

ced

at ∅

12m

m?

____

____

_. I

f the

hol

e is

pro

duce

d at

∅12

.1m

m?

____

____

__

Page 32: Geometric Dimensioning Tolerancing 102

Geo

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& T

oler

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ng

A

SME

Y14.

5M-1

994

Page

63

of 1

02

7.

Supp

ose

the

perp

endi

cula

rity

of t

he p

rodu

ced

feat

ure

was

allo

wed

to in

crea

se a

s th

e si

ze o

f the

feat

ure

incr

ease

d, h

ow w

ould

that

be

indi

cate

d?

8.

Wha

t TH

EN is

the

tota

l per

mis

sibl

e pe

rpen

dicu

lari

ty if

the

hole

siz

e is

pro

duce

d at

12m

m?

____

____

. If

the

hole

is p

rodu

ced

at ∅

12.0

5mm

? __

____

____

. If t

he

hole

is p

rodu

ced

at ∅

12.1

mm

? __

____

____

_.

9.

On

Figu

re 2

, ind

icat

e re

quir

emen

ts to

con

trol

the

angl

es w

ithin

a to

tal t

oler

ance

of

0.1m

m.

10. S

ketc

h ho

w th

e to

lera

nce

zone

is e

stab

lishe

d fo

r the

30°

ang

le.

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

64

of 1

02

30 30 °

4545

± 0

.445

18 ±

0.4

110.

0011

0 ±

0.6

4540

± 0

.445

20 ±

0.4

28 °

Ø 1

2+

0.1

- 0

MAI

N V

IEW

Figu

re 2

Page 33: Geometric Dimensioning Tolerancing 102

Geo

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ric D

imen

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& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

65

of 1

02

6. P

rofil

e To

lera

nce

6.1.

Bila

tera

l & U

nila

tera

l

MEA

NIN

G

ON

TH

E D

RA

WIN

G A

0.8

wid

e to

lera

nce

zone

equ

ally

disp

osed

abo

ut th

e tru

e pr

ofile

(0.4

eac

h si

de)

Dat

um P

lane

A

ON

TH

E D

RA

WIN

G

MEA

NIN

G

Dat

um P

lane

A

A

0.8

Ad

0.8

Ad

Actu

al p

rofil

e

True

pro

file

rela

tive

to D

atum

Pla

ne A

0.8

wid

e to

lera

nce

zone

ent

irely

disp

osed

on

one

side

of t

he tr

uepr

ofile

as

indi

cate

d

Actu

al p

rofil

e

True

pro

file

rela

tive

to D

atum

Pla

ne A

(A) B

ilate

ral T

oler

ance

(B) U

nila

tera

l Tol

eran

ce (I

nsid

e)

MEA

NIN

G

ON

TH

E D

RA

WIN

G

A

0.8

wid

e to

lera

nce

zone

ent

irely

disp

osed

on

one

side

of t

he tr

uepr

ofile

as

indi

cate

d

Dat

um P

lane

A

ON

TH

E D

RA

WIN

G

MEA

NIN

G

Dat

um P

lane

A

A

0.8

Ad

0.8

Ad

Actu

al p

rofil

e

True

pro

file

rela

tive

to D

atum

Pla

ne A

0.8

wid

e to

lera

nce

zone

uneq

ually

dis

pose

d on

one

sid

eof

the

true

prof

ile a

s in

dica

ted

Actu

al p

rofil

e

True

pro

file

rela

tive

to D

atum

Pla

ne A

(C) U

nila

tera

l Tol

eran

ce (O

utsi

de)

(D) B

ilate

ral T

oler

ance

une

qual

dis

trib

utio

n

0.6

0.2

Prof

ile o

f a L

ine k

Prof

ile o

f a S

urfa

ce

d

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

66

of 1

02

Th

e su

rfac

e be

twee

n po

ints

D a

nd E

mus

t lie

bet

wee

n tw

o pr

ofile

bou

ndar

ies 0

.25

apar

t, pe

rpen

dicu

lar t

o da

tum

pla

ne A

, equ

ally

dis

pose

d ab

out t

he tr

ue p

rofil

e an

d po

sitio

ned

with

resp

ect

to d

atum

pla

nes B

and

C.

MEA

NIN

G

ON

TH

E D

RA

WIN

G

0.25

wid

e to

lera

nce

zone

Dat

um P

lane

CD

atum

Pla

ne A

Dat

umPl

ane

B

D

E

19.8

DE

A

0.25

A B

C

d

21.7

21.4

2323

.423

17.5

7X 7

17.5

8+0.

0549

+0.1

2

C

65+0

.25

A

8+0.

12

2X 8.6+0.12

DE

90o

ER

80 78.8

7

R8

R82

75o

10

0.12

E F

d

0.1

E F

d

0.05

E F

d

A

B

C

D

B

C

R12

8+0.

1

F

D

C

A

B

Page 34: Geometric Dimensioning Tolerancing 102

Geo

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imen

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& T

oler

anci

ng

A

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Y14.

5M-1

994

Page

67

of 1

02

26 ±

0.0

412

18

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

68

of 1

02

Page 35: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

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ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

69

of 1

02

6.2.

Exe

rcis

e

7040

60

35

C

B

A

7040

35

60

CB

A0.

3

CB

A0.

09

H

L

L

K

Surfa

ce Y

Surfa

ce Z

H

L

KD

ista

nce

VD

ista

nce

W

Dis

tanc

e X

1.

On

the

part

show

n ab

ove,

wha

t is t

he m

inim

um a

nd m

axim

um o

f the

follo

win

g di

stan

ces

in re

latio

n to

the

datu

m re

fere

nce

fram

e, a

s al

low

ed b

y th

e pr

ofile

cal

lout

?

(a)

Dis

tanc

e V

: M

inim

um _

____

____

____

___

Max

imum

___

____

____

____

_

(b) D

ista

nce

W:

Min

imum

___

____

____

____

_ M

axim

um _

____

____

____

___

(c)

Dis

tanc

e X:

M

inim

um _

____

____

____

___

Max

imum

___

____

____

____

_

2.

On

the

sam

e pa

rt, c

onsi

deri

ng th

e ap

plic

able

pro

file

callo

uts,

wha

t is

the

max

imum

pe

rpen

dicu

lari

ty o

f the

follo

win

g su

rfac

es in

rela

tion

to D

atum

A?

(a

) Su

rfac

e Y:

_

____

____

____

___

(b) S

urfa

ce Z

W:

____

____

____

____

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

70

of 1

02

3.

Prof

ile o

f a S

urfa

ce c

an a

lso

be u

sed

with

a s

ize

tole

ranc

e to

refin

e th

e si

ze o

r sha

pe.

Follo

win

g is

an

exam

ple

whe

re th

e th

ree

top

surf

aces

are

to b

e co

plan

ar (i

n-lin

e)

with

in 0

.3m

m a

nd in

rela

tion

to th

e bo

ttom

sur

face

of t

he p

art.

Eac

h su

rfac

e is

to fl

at

with

in 0

.1m

m.

Def

ine

thes

e re

quir

emen

ts o

n th

e dr

awin

g.

4040

± 0

.3

Page 36: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

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& T

oler

anci

ng

A

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Y14.

5M-1

994

Page

71

of 1

02

160

Unless Otherwise Specified:Tolerance ± 0.05Angles ± 1°

± 0.5

30.00± 0.5

12

30.00± 0.5

12

1020

5020

20

20

90

130

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

72

of 1

02

Page 37: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

73

of 1

02

160

Unless Otherwise Specified:Tolerance ± 0.05Angles ± 1°

3018

3018

1020

5020

20

20

90

130

B

C

20A

Z

X

Y20

3018

3018

1020

20

20

50

90

13020

10 10

202020202020202020202020 2020

± 0.5

C B A 0.05

Z Y X 0.05G

eom

etric

Dim

ensi

onin

g &

Tol

eran

cing

ASM

E Y1

4.5M

-199

4

Page

74

of 1

02

Page 38: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

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& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

75

of 1

02

7. R

unou

t Tol

eran

ce

7.1.

Coa

xial

Fea

ture

s Th

ere

are

thre

e ty

pes

of c

oaxi

al fe

atur

e co

ntro

l. P

rope

r sel

ectio

n is

bas

ed u

pon

whi

ch o

f th

e be

low

con

trols

bes

t sui

ts th

e fu

nctio

nal d

esig

n re

quire

men

t.

Run

out

- Use

whe

re p

art f

eatu

re s

urfa

ces

in a

rota

tiona

l con

side

ratio

n m

ust r

elat

e to

a

datu

m a

xis.

Run

out i

s ap

plic

able

onl

y on

an

RFS

bas

is.

Run

out

h 0.5 A

Tota

l Run

out

t 0.5 A

(S

urfa

ce to

axi

s co

ntro

l, R

FS)

Po

sitio

n - U

se w

here

par

t fea

ture

sur

face

s re

late

to a

dat

um a

xis

on a

func

tiona

l or

inte

r-cha

ngea

bilit

y ba

sis;

typi

cally

mat

ing

parts

are

invo

lved

. Po

sitio

n is

nor

mal

ly

appl

ied

only

on

an M

MC

bas

is (o

ccas

iona

lly a

n R

FS d

atum

is u

sed)

.

j n0.5m

Am

(A

xis

to a

xis

cont

rol,

MM

C)

C

once

ntric

ity -

Use

whe

re p

art f

eatu

re a

xis

/ axe

s in

a ro

tatio

nal c

onsi

dera

tion

mus

t re

late

to a

dat

um a

xis.

Con

cent

ricity

is a

pplic

able

onl

y on

an

RFS

bas

is.

r n0.5 A

(Axi

s to

axi

s co

ntro

l, R

FS)

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

76

of 1

02

7.2.

Run

out

Run

out:

Eac

h ci

rcul

ar e

lem

ent o

f the

feat

ure

mus

t be

with

in th

e ru

nout

tole

ranc

e an

d w

ithin

0.0

5 w

ide

tole

ranc

e zo

ne (F

IM) i

n re

latio

n to

dat

um a

xis A

Tot

al R

unou

t: A

ll su

rfac

e el

emen

ts, t

otal

, acr

oss e

ntire

surf

ace

mus

t be

with

in th

e ru

nout

tole

ranc

e an

d w

ithin

0.0

5 w

ide

tole

ranc

e zo

ne (F

IM) i

n re

latio

n to

dat

um a

xis A

.

MEA

NIN

G

ON

TH

E D

RAW

ING

0.05

Ah

A

Dat

um F

eatu

re S

imul

ator

(Col

let)

n 2

0+0.

5n

40+

0.5

Dat

um A

xis

A

Dat

um F

eatu

re A

Sim

ulat

ed D

atum

Fea

ture

A(T

rue

Geo

met

ric C

ount

erpa

rt)

Each

Circ

ular

Ele

men

tIn

divi

dual

lyFI

M 0

.05

Rot

ate

Part

MEA

NIN

G

ON

TH

E D

RAW

ING

0.05

At

A

Dat

um F

eatu

re S

imul

ator

(Col

let)

n 2

0+0.

5n

40+

0.5

Dat

um A

xis

A

Dat

um F

eatu

re A

Sim

ulat

ed D

atum

Fea

ture

A(T

rue

Geo

met

ric C

ount

erpa

rt)

All E

lem

ents

Tog

ethe

rFI

M 0

.05

Rot

ate

Part

Page 39: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

77

of 1

02

7.3.

Exa

mpl

es

Part

Mou

nted

on

Two

Func

tiona

l Dia

met

ers

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

78

of 1

02

Part

Mou

nted

on

Func

tiona

l Fac

e Su

rfac

e (D

atum

) and

Dia

met

er (D

atum

)

Page 40: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

79

of 1

02

Part

Mou

nted

on

Two

Func

tiona

l Dia

met

ers

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

80

of 1

02

7.4.

Exe

rcis

e 1.

W

hat i

s the

coa

xial

ity re

quir

emen

t bet

wee

n th

e tw

o di

amet

ers a

s exp

ress

ed o

n th

e

follo

win

g dr

awin

g sk

etch

? __

____

____

____

____

___

2.

O

n th

e sk

etch

, spe

cify

a 0

.12m

m c

ircu

lar r

unou

t req

uire

men

t on

the

larg

e

3.

Afte

r def

inin

g th

e ru

nout

requ

irem

ent,

wha

t is

the

max

imum

cir

cula

rity

(rou

ndne

ss)

for t

he la

rger

dia

met

er? __

____

____

____

____

____

___

4.

With

the

spec

ified

runo

ut re

quir

emen

t, w

hat i

s th

e m

axim

um p

ositi

on o

f the

larg

e

diam

eter

in re

latio

n to

the

smal

l dia

met

er? __

____

____

____

____

__

5.

On

the

sket

ch, s

peci

fy a

runo

ut re

quir

emen

t to

mak

e th

e le

ft fa

ce p

erpe

ndic

ular

to th

e D

atum

axi

s w

ithin

0.1

mm

tota

l. 6.

O

n th

e fig

ure

belo

w, s

ketc

h ho

w th

e tw

o ru

nout

requ

irem

ents

wou

ld b

e ve

rifie

d.

n20+0.05

n6+

0.02

Page 41: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

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ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

81

of 1

02

7.

On

the

part

dra

win

g be

low

, spe

cify

a 0

.12m

m to

tal r

unou

t rel

atin

g th

e la

rge

diam

eter

to

bot

h of

the

two

smal

l dia

met

ers

toge

ther

.

8.

O

n th

e fig

ure

belo

w, s

ketc

h ho

w th

e ru

nout

requ

irem

ent w

ould

be

veri

fied.

9.

Can

runo

ut b

e us

ed w

ithou

t a d

atum

feat

ure

refe

renc

e?__

____

____

____

____

__

10. C

an th

e m o

r l m

odifi

ers

be u

sed

with

runo

ut?

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

_

11. W

hat i

s the

mai

n di

ffere

nce

betw

een

circ

ular

and

tota

l run

out?

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

_

12. W

hat i

s th

e m

ain

diffe

renc

e be

twee

n ru

nout

and

con

cent

rici

ty?

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

_

13. W

hat i

s th

e m

ain

diffe

renc

e be

twee

n co

ncen

tric

ity a

nd p

ositi

on?

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

_

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

82

of 1

02

24

80

24

20

10

70

40

9060

20

A

D

C

Ø 25

Ø 80

Ø 20

Ø 10

Ø 25

Page 42: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

83

of 1

02

8. L

ocat

ion

Tole

ranc

e

8.1.

Pos

ition

Hol

e Ve

rific

atio

n R

emem

ber t

hat a

ll fe

atur

es h

ave

dept

h. T

here

fore

, whe

n do

ing

desi

gn o

r mak

ing

mea

sure

men

ts, t

he to

lera

nce

zone

mus

t be

cons

ider

ed fr

om o

ne e

nd o

f the

zon

e to

the

othe

r.

Posi

tion

vs. P

lus/

Min

us

Coo

rdin

ate

Tole

ranc

ing

52

96 4

X Ø

16.

7 - 1

7.3

Tole

ranc

e ±

0.5

0.7

0.5

0.5

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

84

of 1

02

Po

sitio

n To

lera

ncin

g (R

ound

zon

e)

Each

hol

e ha

s its

ow

n po

sitio

nal t

oler

ance

zon

e. T

he z

one

size

is

depe

nden

t on

the

size

of t

he p

rodu

ced

hole

. ♦

W

hen

the

hole

is p

rodu

ced

at it

s M

MC

siz

e, th

e po

sitio

nal t

oler

ance

zon

e is

the

tole

ranc

e st

ated

in th

e FC

F.

If th

e ho

le is

pro

duce

d at

som

ethi

ng la

rger

than

the

MM

C s

ize,

the

posi

tiona

l tol

eran

ce z

one

is s

tate

d FC

F to

lera

nce

PLU

S th

e am

ount

that

th

e ho

le is

larg

er th

an M

MC

.

Exam

ple

Feat

ures

: If

Hol

e #

1 =

∅ 1

6.7

Then

tole

ranc

e zo

ne

=

#2 =

∅ 1

6.9

tole

ranc

e zo

ne

=

#3 =

∅ 1

7.2

tole

ranc

e zo

ne

=

#4 =

∅ 1

7.4

tole

ranc

e zo

ne

=

A

52

96

4X

Ø 1

6.7

- 17.

3

52

96

1.3

0.7

0.7

M

Page 43: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

85

of 1

02

Posi

tion

Zone

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

86

of 1

02

Basi

c D

imen

sion

(from

dra

win

g)

Actu

al M

easu

rem

ent

(from

cre

ated

par

t)

"X" D

iffer

ence

Basi

cD

imen

sion

(from

dra

win

g)

Actu

alM

easu

rem

ent

(from

pro

duce

d pa

rt)

"Y" D

iffer

ence

True

Pos

ition

Dat

um P

lane

"X" D

irect

ion

Dat

um P

lane

"Y" D

irect

ion

"Z" =

Act

ual

Posi

tiona

l Dia

met

er

Actu

al P

rodu

ced

Feat

ure

Cen

ter

Z

X

Y

=+

22

Form

ula

:Z2

XY

Page 44: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

87

of 1

02

8.2.

Com

posi

te P

ositi

onal

Tol

eran

ce

Posi

tion,

Axi

s to

Sur

face

, Coa

xial

A

xis

to A

xis,

Coa

xial

Posi

tiona

l Tol

eran

cing

for C

oaxi

al H

oles

of S

ame

Size

A

B

9

18

n0.

25m

A

B C

n0.

15m

Aj4X

n10

.15

+0.1

50

C

Patte

rn L

ocat

ing

Posi

tion

Tole

ranc

e

Fea

ture

Rel

atin

g Po

sitio

n To

lera

nce

n0.

15 a

t MM

C, f

our

coax

ial

tole

ranc

e zo

nes w

ithin

whi

chth

e ax

es o

f the

hol

es m

ust l

iere

lativ

e to

eac

h ot

her

n0.

25 a

t MM

C, f

our

coax

ial

tole

ranc

e zo

nes l

ocat

ed a

t tru

epo

sitio

n re

lativ

e to

the

spec

ified

datu

ms w

ithin

whi

ch th

e ax

es o

fth

e ho

les a

s a g

roup

mus

t lie

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

88

of 1

02

Posi

tion,

Axi

s to

Sur

face

, Coa

xial

A

xis

to A

xis,

Coa

xial

Posi

tiona

l Tol

eran

cing

for C

oaxi

al H

oles

of S

ame

Size

, Par

tial (

Para

llelis

m)

Ref

inem

ent o

f Fea

ture

-Rel

atin

g A

xis

A

B

9

18

4X n

10.1

5 +0

.15

0

C

Ori

enta

tion

n0.

25m

A

B

Cn

0.15m

A

Bj

n0.

15 a

t MM

C, f

our

coax

ial

tole

ranc

e zo

nes w

ithin

whi

chth

e ax

es o

f the

hol

es m

ust l

iere

lativ

e to

eac

h ot

her

n0.

25 a

t MM

C, f

our

coax

ial

tole

ranc

e zo

nes l

ocat

ed a

t tru

epo

sitio

n re

lativ

e to

the

spec

ified

datu

ms w

ithin

whi

ch th

e ax

es o

fth

e ho

les a

s a g

roup

mus

t lie

Page 45: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

89

of 1

02

Posi

tion,

Axi

s to

Axi

s, C

oaxi

al

24

80

24

20

10

70

40

9060

20

A

D

C

Ø 25

Ø 80

Ø 20

Ø 10

Ø 25

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

90

of 1

02

24

100

52

309615

0

134

4X

Ø 1

6.7

- 17.

3

Tole

ranc

e ±

0.5

---

------

------

-----

------

------

------

-----

------

------

------

------

------

-----

------

------

------

------

------

-----

------

------

------

------

------

-----

------

------

------

------

-----

------

------

------

------

------

-----

------

------

------

------

------

-----

------

------

------

------

-----

------

------

------

------

------

------

-----

------

------

------

------

---

CB

0.7

M

24

100

52

309615

0

134

4X

Ø 1

6.7

- 17.

3

Tole

ranc

e ±

0.5

2452

3096

C B

A

Page 46: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

91

of 1

02 C

BA

Ø 1

.5M

0.7

M

BC

A

24

100

52

309615

0

134

4X

Ø 1

6.7

- 17.

3

Tole

ranc

e ±

0.5

2452

3096

------

------

------

------

------

------

-----

------

------

------

------

-----

------

------

------

------

------

-----

------

------

------

------

------

------

-----

------

------

------

------

-----

------

------

------

------

------

-----

------

------

------

------

------

-----

------

------

------

-----

------

------

------

------

------

-----

------

------

------

------

------

-----

------

------

------

----

BA

Ø 0

.7C

BA

Ø 1

.5M M

B

C

A

24

100

52

309615

0

134

4X

Ø 1

6.7

- 17.

3

Tole

ranc

e ±

0.5

2452

3096

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

92

of 1

02

B

C

A

24

100

52

309615

0

134

4X

Ø 1

6.7

- 17.

3

Tole

ranc

e ±

0.5

2452

3096

BA

Ø 0

.7C

BA

Ø 1

.5M M

8.

3. P

ositi

on T

oler

ance

Cal

cula

tion

Floa

ting

Fast

ener

To

cal

cula

te p

ositi

on to

lera

nce

with

fast

ener

and

hol

e si

ze k

now

n:

FH

T−

=

Whe

re T

= to

lera

nce,

H =

MM

C h

ole,

and

F =

MM

C fa

sten

er

Fixe

d Fa

sten

er

To

cal

cula

te p

ositi

on to

lera

nce

with

fast

ener

and

hol

e si

ze k

now

n:

2F

HT

−=

Whe

re T

= to

lera

nce,

H =

MM

C h

ole,

and

F =

MM

C fa

sten

er

Page 47: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

93

of 1

02

8.4.

Pr

ojec

ted

Tole

ranc

e Zo

ne

(1)

In

terf

eren

ce d

iagr

am, f

aste

ner a

nd h

ole

(2

)

B

asis

for p

roje

cted

tole

ranc

e zo

ne

Cle

aran

ce h

ole

axis

Posi

tiona

lto

lera

nce

zone

True

pos

ition

axi

s

Thre

aded

hol

eax

is

Inte

rfer

ence

are

a

Tole

ranc

e zo

ne h

eigh

t is e

qual

to h

eigh

t of t

hrea

ded

hole

j n

0.5m

A B

C

Posi

tiona

lto

lera

nce

zone

Cle

aran

ce h

ole

axis

True

pos

ition

axi

s

Thre

aded

hol

eax

isM

in. t

oler

ance

zon

e he

ight

is e

qual

to m

ax. t

hick

ness

of m

atin

g pa

rt

j n

0.5m

p

10.0

A B

C

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

94

of 1

02

8.5.

Con

cent

ricity

C

once

ntric

ity is

that

con

ditio

n w

here

the

med

ian

poin

ts o

f all

diam

etric

ally

opp

osed

el

emen

ts o

f a fi

gure

of r

evol

utio

n (o

r cor

resp

ondi

ng-lo

cate

d el

emen

ts o

f tw

o or

mor

e ra

dial

ly d

ispo

sed

feat

ures

) are

con

grue

nt w

ith th

e ax

is (o

r cen

ter p

oint

) of a

dat

um.

A co

ncen

trici

ty to

lera

nce

is a

cyl

indr

ical

(or s

pher

ical

) tol

eran

ce z

one

who

se a

xis

(or

cent

er p

oint

) coi

ncid

es w

ith th

e ax

is (o

r cen

ter p

oint

) of t

he d

atum

feat

ure.

The

med

ian

poin

ts o

f all

corre

spon

ding

ly-lo

cate

d el

emen

ts o

f the

feat

ure

bein

g co

ntro

lled,

rega

rdle

ss

of fe

atur

e si

ze, m

ust b

e w

ithin

the

cylin

dric

al to

lera

nce

zone

. Th

e sp

ecifi

ed to

lera

nce

and

the

datu

m re

fere

nce

can

only

app

ly o

n an

RFS

bas

is.

MEA

NIN

G

ON

TH

E D

RAW

INGA

Dat

um A

xis

A

20.2

19.8

n

10.2

9.8

n

Med

ian

poin

ts o

f dia

met

ical

lyop

pose

d el

emen

ts o

f fea

ture

n

0.2

Ar

Tole

ranc

e Zo

ne (R

FS)

n0.

2

Page 48: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

95

of 1

02

8.6.

Sym

met

ry

Sym

met

ry is

that

con

ditio

n w

here

the

med

ian

poin

ts o

f all

oppo

sed

or c

orre

spon

ding

ly

loca

ted

elem

ents

of t

wo

or m

ore

feat

ure

surfa

ces

are

cong

ruen

t with

the

axis

or c

ente

r pl

ane

of a

dat

um fe

atur

e. T

he m

ater

ial c

ondi

tion

RFS

onl

y is

to a

pply

.

MEA

NIN

G

ON

TH

E D

RAW

ING

A Dat

um F

eatu

re A

(RFS

)

10.2

9.8

All m

edia

n po

ints

of o

ppos

ed e

lem

ents

of t

he s

lot m

ust l

ie w

ithin

the

0.2

wid

e to

lera

nce

zone

, RFS

. Th

e to

lera

nce

zone

bei

ng e

stab

lishe

d by

two

para

lle p

lane

s eq

ually

dis

pose

d ab

out d

atum

cen

terp

lane

A, R

FS.

0.1

0.2

Ai

30.2

29.8

0.2

Wid

e To

lera

nce

Zone

(RFS

)

Dat

um C

ente

rpla

ne A

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

96

of 1

02

8.7.

Exe

rcis

e 1.

Insp

ectio

n R

epor

t H

ole

# Ac

tual

“X” L

ocat

ion

Actu

al “Y

” Loc

atio

n H

ole

Size

1

29.7

5 76

.5

17.2

2

126.

3 75

.85

17

3 30

.4

24.4

3 16

.9

4 12

5.91

23

.48

17.1

Hol

e #

Actu

al L

ocat

ion

Hol

e

Size

Po

sitio

n

Tol.

Ac

cept

Rej

ect

1 X

=

Y =

2 X

= Y

=

3 X

= Y

=

4 X

= Y

=

CB

0.7

M

24

100

52

309615

0

134

4X

Ø 1

6.7

- 17.

3

2452

3096

C B

A

#1#2

#3#4

Page 49: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

97

of 1

02

2.

Dra

win

g Re

quir

emen

ts

CB

1.0

M30

3X

Ø 1

5.0

- 15.

5

Tole

ranc

e ±

0.5

2440

30

C B

A

100

Pr

oduc

ed P

art 24

.25

63.6

6

29.4

7

100.

35C B

A

30.6

2

Prod

uced

Hol

e15

.38

Prod

uced

Hol

e15

.30

Prod

uced

Hol

e15

.15 23

.48

#1 #2#3

H

ole

# H

ole

MM

C

Hol

e A

ctua

l Si

ze

Posi

tion

Tole

ranc

e A

llow

ed

“X”

Dis

tanc

e “Y

” D

ista

nce

Posi

tion

Loca

tion

Acc

ept

Reje

ct

1

2

3

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

98

of 1

02

3.

B A 0.5 34.00 - 34.25

32

15

A

A Ø 0.1

B

M

4X Ø 10.9 - 11.4A Ø 1B C M

8

Ø 110

M

C

± 0.1

2X 40

2X 40

Page 50: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

99

of 1

02

Insp

ectio

n Re

port

for H

ub C

over

Item

#A

ctua

l Siz

eX

Dim

ensi

onY

Dim

ensi

onC

omm

ents

B34

.09

+0.1

+0.1

C8.

050.

59---

111

.25

+0.3

39.7

2

211

.340

.25

+0.5

5

311

.04

-0.2

140

.54

411

.28

40.4

8+0

.26

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

100

of 1

02

A 0.5 34.00 - 34.25

32

15

A

A Ø 0.1

B

M

4X Ø 10.9 - 11.4A Ø 1BMCM M

8

Ø 110

MBM

C

± 0.1

2X 40

2X 40

Page 51: Geometric Dimensioning Tolerancing 102

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

101

of 1

02

4X Ø

6.4

5 - 6

.80

Z

5113

1332

X

Y6M

Cap

Scr

ews

ZY

2M

M

CB

2M

MC

5113

1332

B

A

0.5

2 SU

RF

Hol

e M

MC

=

- Sc

rew

MM

C =

------

------

------

------

------

------

--

T

oler

ance

=

4X Ø

6.4

5 - 6

.80

Geo

met

ric D

imen

sion

ing

& T

oler

anci

ng

A

SME

Y14.

5M-1

994

Page

102

of 1

02

4X Ø

6.4

5 - 6

.80

Z

5113

1332

X

Y

4X 6

M

ZY

2M

M

CB

2M

MC

5113

1332

B

A

0.5

2 SU

RF

Hol

e M

MC

=

- Sc

rew

MM

C =

------

------

------

------

------

------

--

T

oler

ance

=

6M C

ap S

crew

s