SlideShare a Scribd company logo
Data Analysis Lab
ME 288
L7 abc
GD & T
• Is a method (systems of symbols) for defining
a part’s geometry
– it goes beyond the form description
– based simply on tolerance dimensions
– as directed under rule #1

• A basic dimension is a theoretical
perfect size, location
or orientation dimension.

2h

12
Varies
Basic Dimension
These symbols are used when dimensioning.
h

2h

90°
h

h

h
0.6h

Counterbore

60°
Depth (or deep)

Countersink
0.5h

h

h

0.5h

h

2h
30°
Square

Conical Taper

Dimension Origin

0.3h

1.5h

(

( )

0.3 h
Arc Length

15°
h

1.5h

Slope

Reference
2h

12

X

Places
or By

R

Radius

2.5h
0.8h

Varies

Basic Dimension

Ø

Diameter

SR

Spherical
Radius

ST

1.5h

60°
Statistical Tolerance
(dimensional)

SØ

Spherical
Diameter

CR

Controlled
Radius
These symbols are used when dimensioning.
h
2h

90°
h

h

h
0.6h

Counterbore

Countersink
0.5h
0.5h

h

60°
Depth (or deep)
h
h

2h

30°
Dimension Origin
h = height of lettering

Conical Taper

Square
These symbols are used when dimensioning
.3h

1.5h

(

( )

1.6
Arc Length

15°

h

1.5h

Slope

Reference
2h

2.5h

X

12

Places
or By

Varies

0.8h

ST

1.5h
60°

Basic Dimension

Statistical Tolerance
(dimensional)

R

Ø

SR

SØ

Radius

Diameter

Spherical
Radius

Spherical
Diameter

CR
Controlled
Radius
A feature control frame (the backbone of GD & T) modifies a
part’s geometry.
Geometric tolerance(characteristic)
symbol (position)

Diameter symbol
Numeric tolerance
(feature tolerance)
Modifier

0.2

A B

C

2h

Tertiary datum
Secondary datum with
modifier
Primary datum
Two additional examples of feature control frames modifying a
part’s geometry.
Numeric tolerance
Diameter symbol
Geometric tolerance
(perpendicularity)
0.08
Numeric tolerance
Geometric tolerance
(flatness)
(A)

0.05

Modifier
Datum
(B)

A
Geometric characteristic(tolerance) symbols are categorized in
two ways.
Geometric Characteristic Symbols
Symbol

Type of
tolerance

Description

Flatness

Circularity

Form

Straightness

Perpendicularity
Parallelism
Position
Concentricity
Symmetry

*
*

Runout Circular
Runout Total

*Either filled or unfilled

Individual or
related
features

No datum or datums needed

Depending on the situation

Orientation

Angularity

Location

Profile surface

Runout

Profile line

Profile

Cylindricity

Individual
features

Related
features

A datum or datums
are required
GD&T geometric characteristic symbols illustrated.
0.6h
2h

1.5h

Straightness

1.5h

h

Concentricity

1.5h
h

Parallelism

1.5h

Circularity

Flatness

1.5h

M

0.8h

Modifier
GD&T geometric characteristic symbols illustrated.
2h
1.2h

1.5h
h

0.5h
Symmetry

h

60° 1.5h

Position

Cylindricity
2h

h

All round

h

2h
h

Profile
surface

Profile
line
GD&T geometric characteristic symbols illustrated.
3h
1.5h

30°

2h
Perpendicularity

0.8h

*

0.8h

* 0.6h

1.5h
Angularity

h

45°

0.6h
Runout Circular

Between

*

1.5h

1.1h
Runout Total

* Filled or unfilled
Table lists GD&T geometric characteristic symbol modifiers.

Modifiers
M
L

Maximum Material Condition
Least Material Condition

P

Projected Tolerance Zone

F
T

Free State Variation
Tangent Plane

ST

Statistical Tolerance (geometric)
Between

*
*Filled or unfilled
Modifiers
Maximum material condition, MMC
(M)

Least material condition, LMC
(L)

• It should be taken literally.

• It should be taken literally.

• The geometric feature or
size is as large as it can be.
• In the case of a hole, as
small as it can be.

• The geometric feature or
size is as small as it can be.
• In the case of a hole, as
large as it can be.
7B
Rule #1:
“Where only a tolerance of size is
specified, the limits of size of an
individual feature prescribe the extent of
which variations in its geometric form, as
well as size, are allowed.”
ANSI Y14.5 – 1994
When only size tolerance is specified the object’s form can
vary within the stated size limits.
Ø12.2

Ø12.2

(B)

12.2
Ø 11.8

12.2
Ø 11.8

Ø11.8

(A)
at Ø12.2 MMC must be
perfect form

Ø11.8

Ø12.2

Ø12.2

at Ø11.8 MMC must be
perfect form

(C)

Ø11.8
Ø11.8 for entire length
External dowel plug

Ø11.8
Ø11.8 for entire length
Internal hole
A cylinder can have a variety of shapes yet stay within the
limits of size.

Max

Max

Min

(A)

Max

Min

(B)

Min

(C)
The rectangular prism can vary in shape as long as it stays
inside the volume of the limits of size.
22
20
18
16

16
14

11
9

9
7
8
(A)

7

(B)
Checking the size limits envelope:
A ring gage and plug gage are used to check the geometric
form of a pin and hole.
8.0
Ø 7.8

Ø7.8 LMC along
entire length
of dowel

16.0
15.8
Ring gage
Ø8.0 MMC
(A) Checking geometric form with ring gage
Ø 7.0
6.8

Ø7.0
LMC

Plug gage

Ø6.8
MMC

(B) Checking geometric form with plug gage
Standard Stock Item
• Items whose geometry are already controlled
by established industrial or government
standards
– bars, sheet stock, tubing or structural shapes
Datums
• A datum is an exact surface, line, point ,axis or
cylinder from which measurements are taken.
• Ex. A surface plate or a polished slab of granite
(simulated datum).
• 3 points define a plane.
• Datum feature – is the surface of the part in contact
with the simulated datum.
A height gage measures the height of an object from the
simulated datum surface of a surface plate.
Dial face
Probe

Up

Down
Measured
height

Simulated
datum
(surface plate)

Datum
feature
Note:

the datum feature rests on the simulated datum.
the height is measured from the simulated datum and not from the datum feature.
Degrees of freedom (12) allow movement in two directions
along each axis and rotation about each axis (clockwise and
counterclockwise).

+Z

-X
-Y

+Y

+X
In order to measure geometric features
• part motion must be restricted.

-Z
A datum reference frame consists of three intersecting planes at
90° to each other.

The part can still move in the positive X, Y and Z directions
“part motion must be restricted”
What if we temporarily clamped the part? → Measurements can be taken
from the simulated datums.
Datum surfaces must be indicated on the drawing
Varies
H
2H

H

A

60°

Filled or
unfilled

2H for single lettering
4H for double lettering

(A) H = height of lettering
E

G

F
16

H

(B) Applications
7C
The datum symbol is applied to solid cylinders.

Ø14

J

-or- Ø14

J

J

Ø8

K
The datum symbol is applied to holes.
Ø12
Ø0.1

M

F

G H

N
Ø12

M

R
Ø6
P

Ø6

Note: letters “I”, “O” and “Q” are not used to indicate datums because they may
be confused with numbers one(1) and zero(0).
Double letters can be used e.g. AA, BB etc.
Order of Datums:
Primary datum S has 3 pts of contact, secondary datum T has
2 pts and tertiary datum U 1pt of contact.
2X Ø6 ± 0.2
Ø0.1 M S T U

8

(A)This drawing
symbology

U
6
12

10

U

1 pt of contact
3 pts of contact

(B) Means this

2 pts of
contact

S

T

T

S
The order of the datums is critical!
2X Ø6 ± 0.08
Ø0.1 M V W X

X
(1 pt)

V
(3 pts)
W (2 pts)

X
(1 pt)
True
height
True width

W (2 pts)

Correct inspection procedure

V
(3
pts)

X
(2
pts)

False
height
False
width

V
(3 pts)

W (1 pt)

Incorrect inspection procedure
The datum axis is formed by two intersecting planes.

8

8

4X Ø4±0.5
0.5 G H

Datum axis
Intersecting planes
perpendicular to G

8
Primary
datum G

Ø24
H

8
G
(A) This drawing

(B) Means this
The plug gage establishes the datum axis.
C
Ø10.8±0.1

(A) This drawing

Simulated datum
cylinder C - largest
Ø that fits into hole

Datum axis
Plug gage

(B) Means this

Datum feature C
The smallest circumscribed cylinder establishes the simulated
datum and the datum axis.
D

(A) This drawing

19±0.5

Simulated datum D
Datum feature D
Datum axis

(B) Means this
The simulated central datum plane is established by the center plane of
the largest block that fits into the groove.
12.2
11.8
0.4

Y Z

Z

A) This drawing
Y

B) Means this

Simulated
datums at
maximum
separation
Central datum plane
Datum features

24.2
23.8
The simulated central datum plane is established by the center plane
located by the two blocks at minimum separation.
18.2
17.8
0.6

A B

B
A

A) This drawing

B) Means this

Simulated
datum
planes at
minimum
separation
Central
datum plane

More Related Content

PPT
GD&T saravanan kulasekaran 27.06.16
PDF
Geometrical Dimensioning & Tolerancing
PPT
GD and T Basic tutuorial
PPTX
Geometric Dimensioning and Tolerancing
PDF
GD&T Fundamentals Training
PDF
Geometric dimensioning and tolerancing
PPTX
Geometric dimensioning and tolerancing (GD&T)
GD&T saravanan kulasekaran 27.06.16
Geometrical Dimensioning & Tolerancing
GD and T Basic tutuorial
Geometric Dimensioning and Tolerancing
GD&T Fundamentals Training
Geometric dimensioning and tolerancing
Geometric dimensioning and tolerancing (GD&T)

What's hot (20)

PDF
Fundamentals of GD&T-1.pdf
PPT
Gd & t datum targets
PPTX
Gd&t introductory presentation
PPT
Basic Geometrical Dimensioning & Tolerancing Tranning
PPTX
GD&T - PPT
PPT
Geometric Dimension and Tolerance
PPT
Introduction to Geometric Dimensioning and Tolerancing (GD&T)
PPTX
14 symbols of gd&t
PPTX
Engineering drawing notes_b
PPTX
Geometric dimensioning and tolerance
PDF
Creo parametric tips and tricks
PPTX
Engineering Drawing basics.ppt
PPTX
Tolerances and allowances
PPTX
Ch 24 limit, tolerance & fits
PDF
Gdt symbols reference
PDF
Limits, Fits & Tolerances
PPTX
Limits, fits and tolerances
PPTX
Datums and Datum Targets
PDF
Gd&T Presentation1111
PPTX
tolerance stack up analysis
Fundamentals of GD&T-1.pdf
Gd & t datum targets
Gd&t introductory presentation
Basic Geometrical Dimensioning & Tolerancing Tranning
GD&T - PPT
Geometric Dimension and Tolerance
Introduction to Geometric Dimensioning and Tolerancing (GD&T)
14 symbols of gd&t
Engineering drawing notes_b
Geometric dimensioning and tolerance
Creo parametric tips and tricks
Engineering Drawing basics.ppt
Tolerances and allowances
Ch 24 limit, tolerance & fits
Gdt symbols reference
Limits, Fits & Tolerances
Limits, fits and tolerances
Datums and Datum Targets
Gd&T Presentation1111
tolerance stack up analysis
Ad

Similar to Basic gd&t datums (20)

PPT
Fundamentals-of-GDandT.ppt
PPT
Fundamentals_of_GDandT_forgeometric_dim.ppt
PPT
GDT tutorial.ppt
PPTX
Datums_GDT.pptx
PPTX
Geometric Dimensioning and Tolerancing.pptx
PPTX
General Dimensioning and Tolerancing Basis
PPTX
Geometric Dimensioning & Tolerancing
PPTX
Chapter 6.pptx
DOCX
Report on Geometric Dimensional Tolerances
PPTX
TOLERACIAS_GEOMETRICAS.pptx
PDF
Geometric Dimensioning and Tolerancing
PPT
Gdt tutorial
PDF
GEOMETRIC DIMENSIONING AND TOLERANCING E- Book
PPT
DandT.ppt
PPTX
Basic GD&T,GD&T Simplified(GD&T) BY Suresh.M
PPT
Training program in Geometric Dimensioning and Tolerancing
PPT
UMA GD&T Be able to explain the main benefits of G D & T 2. Develop a Soli...
PPT
basic GD&Tßsssssssdddsisjejrnrjejejjejejd.ppt
PPT
Geometrical Dimensioning and Tolerancing
Fundamentals-of-GDandT.ppt
Fundamentals_of_GDandT_forgeometric_dim.ppt
GDT tutorial.ppt
Datums_GDT.pptx
Geometric Dimensioning and Tolerancing.pptx
General Dimensioning and Tolerancing Basis
Geometric Dimensioning & Tolerancing
Chapter 6.pptx
Report on Geometric Dimensional Tolerances
TOLERACIAS_GEOMETRICAS.pptx
Geometric Dimensioning and Tolerancing
Gdt tutorial
GEOMETRIC DIMENSIONING AND TOLERANCING E- Book
DandT.ppt
Basic GD&T,GD&T Simplified(GD&T) BY Suresh.M
Training program in Geometric Dimensioning and Tolerancing
UMA GD&T Be able to explain the main benefits of G D & T 2. Develop a Soli...
basic GD&Tßsssssssdddsisjejrnrjejejjejejd.ppt
Geometrical Dimensioning and Tolerancing
Ad

Recently uploaded (20)

PPTX
Pharmacology of Heart Failure /Pharmacotherapy of CHF
PPTX
1st Inaugural Professorial Lecture held on 19th February 2020 (Governance and...
PDF
Saundersa Comprehensive Review for the NCLEX-RN Examination.pdf
PDF
Chapter 2 Heredity, Prenatal Development, and Birth.pdf
PDF
VCE English Exam - Section C Student Revision Booklet
PPTX
Institutional Correction lecture only . . .
PDF
Microbial disease of the cardiovascular and lymphatic systems
PDF
3rd Neelam Sanjeevareddy Memorial Lecture.pdf
PPTX
IMMUNITY IMMUNITY refers to protection against infection, and the immune syst...
PDF
01-Introduction-to-Information-Management.pdf
PPTX
Pharma ospi slides which help in ospi learning
PDF
Physiotherapy_for_Respiratory_and_Cardiac_Problems WEBBER.pdf
PDF
STATICS OF THE RIGID BODIES Hibbelers.pdf
PPTX
Renaissance Architecture: A Journey from Faith to Humanism
PDF
O5-L3 Freight Transport Ops (International) V1.pdf
PDF
Insiders guide to clinical Medicine.pdf
PDF
2.FourierTransform-ShortQuestionswithAnswers.pdf
PDF
Basic Mud Logging Guide for educational purpose
PDF
Pre independence Education in Inndia.pdf
PDF
BÀI TẬP BỔ TRỢ 4 KỸ NĂNG TIẾNG ANH 9 GLOBAL SUCCESS - CẢ NĂM - BÁM SÁT FORM Đ...
Pharmacology of Heart Failure /Pharmacotherapy of CHF
1st Inaugural Professorial Lecture held on 19th February 2020 (Governance and...
Saundersa Comprehensive Review for the NCLEX-RN Examination.pdf
Chapter 2 Heredity, Prenatal Development, and Birth.pdf
VCE English Exam - Section C Student Revision Booklet
Institutional Correction lecture only . . .
Microbial disease of the cardiovascular and lymphatic systems
3rd Neelam Sanjeevareddy Memorial Lecture.pdf
IMMUNITY IMMUNITY refers to protection against infection, and the immune syst...
01-Introduction-to-Information-Management.pdf
Pharma ospi slides which help in ospi learning
Physiotherapy_for_Respiratory_and_Cardiac_Problems WEBBER.pdf
STATICS OF THE RIGID BODIES Hibbelers.pdf
Renaissance Architecture: A Journey from Faith to Humanism
O5-L3 Freight Transport Ops (International) V1.pdf
Insiders guide to clinical Medicine.pdf
2.FourierTransform-ShortQuestionswithAnswers.pdf
Basic Mud Logging Guide for educational purpose
Pre independence Education in Inndia.pdf
BÀI TẬP BỔ TRỢ 4 KỸ NĂNG TIẾNG ANH 9 GLOBAL SUCCESS - CẢ NĂM - BÁM SÁT FORM Đ...

Basic gd&t datums

  • 1. Data Analysis Lab ME 288 L7 abc
  • 2. GD & T • Is a method (systems of symbols) for defining a part’s geometry – it goes beyond the form description – based simply on tolerance dimensions – as directed under rule #1 • A basic dimension is a theoretical perfect size, location or orientation dimension. 2h 12 Varies Basic Dimension
  • 3. These symbols are used when dimensioning. h 2h 90° h h h 0.6h Counterbore 60° Depth (or deep) Countersink 0.5h h h 0.5h h 2h 30° Square Conical Taper Dimension Origin 0.3h 1.5h ( ( ) 0.3 h Arc Length 15° h 1.5h Slope Reference 2h 12 X Places or By R Radius 2.5h 0.8h Varies Basic Dimension Ø Diameter SR Spherical Radius ST 1.5h 60° Statistical Tolerance (dimensional) SØ Spherical Diameter CR Controlled Radius
  • 4. These symbols are used when dimensioning. h 2h 90° h h h 0.6h Counterbore Countersink 0.5h 0.5h h 60° Depth (or deep) h h 2h 30° Dimension Origin h = height of lettering Conical Taper Square
  • 5. These symbols are used when dimensioning .3h 1.5h ( ( ) 1.6 Arc Length 15° h 1.5h Slope Reference 2h 2.5h X 12 Places or By Varies 0.8h ST 1.5h 60° Basic Dimension Statistical Tolerance (dimensional) R Ø SR SØ Radius Diameter Spherical Radius Spherical Diameter CR Controlled Radius
  • 6. A feature control frame (the backbone of GD & T) modifies a part’s geometry. Geometric tolerance(characteristic) symbol (position) Diameter symbol Numeric tolerance (feature tolerance) Modifier 0.2 A B C 2h Tertiary datum Secondary datum with modifier Primary datum
  • 7. Two additional examples of feature control frames modifying a part’s geometry. Numeric tolerance Diameter symbol Geometric tolerance (perpendicularity) 0.08 Numeric tolerance Geometric tolerance (flatness) (A) 0.05 Modifier Datum (B) A
  • 8. Geometric characteristic(tolerance) symbols are categorized in two ways. Geometric Characteristic Symbols Symbol Type of tolerance Description Flatness Circularity Form Straightness Perpendicularity Parallelism Position Concentricity Symmetry * * Runout Circular Runout Total *Either filled or unfilled Individual or related features No datum or datums needed Depending on the situation Orientation Angularity Location Profile surface Runout Profile line Profile Cylindricity Individual features Related features A datum or datums are required
  • 9. GD&T geometric characteristic symbols illustrated. 0.6h 2h 1.5h Straightness 1.5h h Concentricity 1.5h h Parallelism 1.5h Circularity Flatness 1.5h M 0.8h Modifier
  • 10. GD&T geometric characteristic symbols illustrated. 2h 1.2h 1.5h h 0.5h Symmetry h 60° 1.5h Position Cylindricity 2h h All round h 2h h Profile surface Profile line
  • 11. GD&T geometric characteristic symbols illustrated. 3h 1.5h 30° 2h Perpendicularity 0.8h * 0.8h * 0.6h 1.5h Angularity h 45° 0.6h Runout Circular Between * 1.5h 1.1h Runout Total * Filled or unfilled
  • 12. Table lists GD&T geometric characteristic symbol modifiers. Modifiers M L Maximum Material Condition Least Material Condition P Projected Tolerance Zone F T Free State Variation Tangent Plane ST Statistical Tolerance (geometric) Between * *Filled or unfilled
  • 13. Modifiers Maximum material condition, MMC (M) Least material condition, LMC (L) • It should be taken literally. • It should be taken literally. • The geometric feature or size is as large as it can be. • In the case of a hole, as small as it can be. • The geometric feature or size is as small as it can be. • In the case of a hole, as large as it can be.
  • 14. 7B
  • 15. Rule #1: “Where only a tolerance of size is specified, the limits of size of an individual feature prescribe the extent of which variations in its geometric form, as well as size, are allowed.” ANSI Y14.5 – 1994
  • 16. When only size tolerance is specified the object’s form can vary within the stated size limits. Ø12.2 Ø12.2 (B) 12.2 Ø 11.8 12.2 Ø 11.8 Ø11.8 (A) at Ø12.2 MMC must be perfect form Ø11.8 Ø12.2 Ø12.2 at Ø11.8 MMC must be perfect form (C) Ø11.8 Ø11.8 for entire length External dowel plug Ø11.8 Ø11.8 for entire length Internal hole
  • 17. A cylinder can have a variety of shapes yet stay within the limits of size. Max Max Min (A) Max Min (B) Min (C)
  • 18. The rectangular prism can vary in shape as long as it stays inside the volume of the limits of size. 22 20 18 16 16 14 11 9 9 7 8 (A) 7 (B)
  • 19. Checking the size limits envelope: A ring gage and plug gage are used to check the geometric form of a pin and hole. 8.0 Ø 7.8 Ø7.8 LMC along entire length of dowel 16.0 15.8 Ring gage Ø8.0 MMC (A) Checking geometric form with ring gage Ø 7.0 6.8 Ø7.0 LMC Plug gage Ø6.8 MMC (B) Checking geometric form with plug gage
  • 20. Standard Stock Item • Items whose geometry are already controlled by established industrial or government standards – bars, sheet stock, tubing or structural shapes
  • 21. Datums • A datum is an exact surface, line, point ,axis or cylinder from which measurements are taken. • Ex. A surface plate or a polished slab of granite (simulated datum). • 3 points define a plane. • Datum feature – is the surface of the part in contact with the simulated datum.
  • 22. A height gage measures the height of an object from the simulated datum surface of a surface plate. Dial face Probe Up Down Measured height Simulated datum (surface plate) Datum feature Note: the datum feature rests on the simulated datum. the height is measured from the simulated datum and not from the datum feature.
  • 23. Degrees of freedom (12) allow movement in two directions along each axis and rotation about each axis (clockwise and counterclockwise). +Z -X -Y +Y +X In order to measure geometric features • part motion must be restricted. -Z
  • 24. A datum reference frame consists of three intersecting planes at 90° to each other. The part can still move in the positive X, Y and Z directions “part motion must be restricted” What if we temporarily clamped the part? → Measurements can be taken from the simulated datums.
  • 25. Datum surfaces must be indicated on the drawing Varies H 2H H A 60° Filled or unfilled 2H for single lettering 4H for double lettering (A) H = height of lettering E G F 16 H (B) Applications
  • 26. 7C
  • 27. The datum symbol is applied to solid cylinders. Ø14 J -or- Ø14 J J Ø8 K
  • 28. The datum symbol is applied to holes. Ø12 Ø0.1 M F G H N Ø12 M R Ø6 P Ø6 Note: letters “I”, “O” and “Q” are not used to indicate datums because they may be confused with numbers one(1) and zero(0). Double letters can be used e.g. AA, BB etc.
  • 29. Order of Datums: Primary datum S has 3 pts of contact, secondary datum T has 2 pts and tertiary datum U 1pt of contact. 2X Ø6 ± 0.2 Ø0.1 M S T U 8 (A)This drawing symbology U 6 12 10 U 1 pt of contact 3 pts of contact (B) Means this 2 pts of contact S T T S
  • 30. The order of the datums is critical! 2X Ø6 ± 0.08 Ø0.1 M V W X X (1 pt) V (3 pts) W (2 pts) X (1 pt) True height True width W (2 pts) Correct inspection procedure V (3 pts) X (2 pts) False height False width V (3 pts) W (1 pt) Incorrect inspection procedure
  • 31. The datum axis is formed by two intersecting planes. 8 8 4X Ø4±0.5 0.5 G H Datum axis Intersecting planes perpendicular to G 8 Primary datum G Ø24 H 8 G (A) This drawing (B) Means this
  • 32. The plug gage establishes the datum axis. C Ø10.8±0.1 (A) This drawing Simulated datum cylinder C - largest Ø that fits into hole Datum axis Plug gage (B) Means this Datum feature C
  • 33. The smallest circumscribed cylinder establishes the simulated datum and the datum axis. D (A) This drawing 19±0.5 Simulated datum D Datum feature D Datum axis (B) Means this
  • 34. The simulated central datum plane is established by the center plane of the largest block that fits into the groove. 12.2 11.8 0.4 Y Z Z A) This drawing Y B) Means this Simulated datums at maximum separation Central datum plane Datum features 24.2 23.8
  • 35. The simulated central datum plane is established by the center plane located by the two blocks at minimum separation. 18.2 17.8 0.6 A B B A A) This drawing B) Means this Simulated datum planes at minimum separation Central datum plane