ISOMETRIC DRAWING                         TYPICAL CONDITION.
   IT IS A TYPE OF PICTORIAL PROJECTION      IN THIS 3-D DRAWING OF AN OBJECT,
    IN WHICH ALL THREE DIMENSIONS OF          ALL THREE DIMENSIONAL AXES ARE
  AN OBJECT ARE SHOWN IN ONE VIEW AND        MENTAINED AT EQUAL INCLINATIONS
 IF REQUIRED, THEIR ACTUAL SIZES CAN BE             WITH EACH OTHER.( 1200)
        MEASURED DIRECTLY FROM IT.


    3-D DRAWINGS CAN BE DRAWN              NOW OBSERVE BELOW GIVEN DRAWINGS.
IN NUMEROUS WAYS AS SHOWN BELOW.            ONE CAN NOTE SPECIFIC INCLINATION
ALL THESE DRAWINGS MAY BE CALLED                    AMONG H, L & D AXES.
      3-DIMENSIONAL DRAWINGS,               ISO MEANS SAME, SIMILAR OR EQUAL.
          OR PHOTOGRAPHIC                            HERE ONE CAN FIND
       OR PICTORIAL DRAWINGS.             EDUAL INCLINATION AMONG H, L & D AXES.
     HERE NO SPECIFIC RELATION             EACH IS 1200 INCLINED WITH OTHER TWO.
 AMONG H, L & D AXES IS MENTAINED.        HENCE IT IS CALLED ISOMETRIC DRAWING



            L




                                                   H
      H                                                                 H
            PURPOSE OF ISOMETRIC DRAWING IS TO UNDERSTAND
 OVERALL SHAPE, SIZE & APPEARANCE OF AN OBJECT PRIOR TO IT’S PRODUCTION.
SOME IMPORTANT TERMS:

ISOMETRIC AXES, LINES AND PLANES:

The three lines AL, AD and AH, meeting at point A and making
1200 angles with each other are termed Isometric Axes.
                                                                               A
The lines parallel to these axes are called Isometric Lines.

The planes representing the faces of of the cube as well as
other planes parallel to these planes are called Isometric Planes.
                                                                                   H
ISOMETRIC SCALE:
When one holds the object in such a way that all three dimensions
are visible then in the process all dimensions become proportionally
inclined to observer’s eye sight and hence appear apparent in lengths.

This reduction is 0.815 or 9 / 11 ( approx.) It forms a reducing scale which
Is used to draw isometric drawings and is called Isometric scale.

In practice, while drawing isometric projection, it is necessary to convert
true lengths into isometric lengths for measuring and marking the sizes.
This is conveniently done by constructing an isometric scale as described
on next page.
TYPES OF ISOMETRIC DRAWINGS



  ISOMETRIC VIEW                                                     ISOMETRIC PROJECTION
Drawn by using True scale                                            Drawn by using Isometric scale
   ( True dimensions )                                                  ( Reduced dimensions )


                                                                     D
                                                                 4



                                                         3




        H
                                                 S
                                               TH 2                  C                  H
                                             NG                      4
                                        LE
                                    E
                                 RU
                                T 1                          3

                                                     2 THS
                                                       NG
                                                .   LE                   CONSTRUCTION OF ISOM.SCALE.
                      0                       OM                         From point A, with line AB draw 300 and
                                   1 IS
                                                                         450 inclined lines AC & AD resp on AD.
                                 450                                     Mark divisions of true length and from
                      0   300
              A                                                      B   each division-point draw vertical lines
                      Isometric scale [ Line AC ]                        upto AC line.
                                                                         The divisions thus obtained on AC
                   required for Isometric Projection                     give lengths on isometric scale.
1                               SHAPE               Isometric view if the Shape is
   ISOMETRIC
      OF                                             F.V.        or        T.V.
                                                                D
 PLANE FIGURES                                  H
                                RECTANGLE                                                         D
                        A                   D   A                        L
  AS THESE ALL ARE                                                                                                L
                                                                C        D
     2-D FIGURES                                                                                              C
WE REQUIRE ONLY TWO                                                           A
  ISOMETRIC AXES.
                        B                   C   B                                         B
   IF THE FIGURE IS                                                 B
  FRONT VIEW, H & L                             H
                            TRIANGLE                            3                             B
 AXES ARE REQUIRED.     1                                                L
                                            B   1                                                         3
                                                                                                                  L
IF THE FIGURE IS TOP                                            A        D                                        A
VIEW, D & L AXES ARE                        3
     REQUIRED.                                                               1
                        2                   A   2                                         2
 Shapes containing                                              4
Inclined lines should       PENTAGON            H       E
   be enclosed in a     1          E
                                            4   1                   D                     4
rectangle as shown.                                                                                   D
                                                                                      E
Then first draw isom.   A                   D   A                        D                                             L
of that rectangle and                                                   L 1                                           3
  then inscribe that                                                3             A                           C
                                                            C
    shape as it is.     2                                                                             B
                            B          C    3       B
                                                2                                             2
STUDY                                                   2
      Z
ILLUSTRATIONS


DRAW ISOMETRIC VIEW OF A
CIRCLE IF IT IS A TV OR FV.

FIRST ENCLOSE IT IN A SQUARE.
IT’S ISOMETRIC IS A RHOMBUS WITH
D & L AXES FOR TOP VIEW.
THEN USE H & L AXES FOR ISOMETRIC




                                                    B
WHEN IT IS FRONT VIEW.
FOR CONSTRUCTION USE RHOMBUS
METHOD SHOWN HERE. STUDY IT.
                           2




                                            2




                                                            C
                                                        4
           A                            B


                   3                4




                                                3
                                            A




                                                            1
           D                            C




                                                    D
                           1
3
     STUDY
       Z
 ILLUSTRATIONS
                                             25 R


DRAW ISOMETRIC VIEW OF THE FIGURE
SHOWN WITH DIMENTIONS (ON RIGHT SIDE)
CONSIDERING IT FIRST AS F.V. AND THEN T.V.
                                                                       50 MM

                   IF FRONT VIEW



                                                              100 MM

                                                    IF TOP VIEW
ISOMETRIC                    SHAPE             IF F.V.            IF T.V.           4
        OF
  PLANE FIGURES                  HEXAGON




 AS THESE ALL ARE
    2-D FIGURES
 WE REQUIRE ONLY
  TWO ISOMETRIC
       AXES.                     CIRCLE

  IF THE FIGURE IS
 FRONT VIEW, H & L
AXES ARE REQUIRED.

 IF THE FIGURE IS
  TOP VIEW, D & L  For Isometric of Circle/Semicircle use Rhombus method. Construct Rhombus
AXES ARE REQUIRED.  of sides equal to Diameter of circle always. ( Ref. topic ENGG. CURVES.)
                                SEMI CIRCLE
      For Isometric of
      Circle/Semicircle
   use Rhombus method.
 Construct it of sides equal
to diameter of circle always.
 ( Ref. Previous two pages.)
5
         STUDY
           Z
     ILLUSTRATIONS                                    ISOMETRIC VIEW OF
                                                 PENTAGONAL PYRAMID
                                               STANDING ON H.P.
                                              (Height is added from center of pentagon)


ISOMETRIC VIEW OF BASE OF
 PENTAGONAL PYRAMID
    STANDING ON H.P.



                                                           4
                 4
                                                                       D
                         D                          E
             E
 D                                L   D
                                                                               L
     1                           3        1                                    3
         A                   C
                                                A                          C
                         B
                     2
                                                                   B
                                                               2
6
    STUDY
      Z
ILLUSTRATIONS
                       ISOMETRIC VIEW OF
                      PENTAGONALL PRISM
                         LYING ON H.P.




                                                   4
                                   H       E
                                   1               D


                                   A
                                                       L
                                                   3
                                               C
                                       B
                                   2
  ISOMETRIC VIEW OF
  HEXAGONAL PRISM
   STANDING ON H.P.
7
    STUDY
      Z
ILLUSTRATIONS
                         CYLINDER STANDING ON H.P.




CYLINDER LYING ON H.P.
8
    STUDY
      Z                            HALF CYLINDER
ILLUSTRATIONS
                                  STANDING ON H.P.
                               ( ON IT’S SEMICIRCULAR BASE)




   HALF CYLINDER
    LYING ON H.P.
( with flat face // to H.P.)
9
           STUDY          ISOMETRIC VIEW OF
             Z             A FRUSTOM OF SQUARE PYRAMID
       ILLUSTRATIONS
                         STANDING ON H.P. ON IT’S LARGER BASE.




     60
                FV



 X                   Y




40   20




           TV
STUDY                                                                                  10
ILLUSTRATION



 PROJECTIONS OF FRUSTOM OF                                       ISOMETRIC VIEW
PENTAGONAL PYRAMID ARE GIVEN.                                           OF
                                                          FRUSTOM OF PENTAGONAL PYRAMID
   DRAW IT’S ISOMETRIC VIEW.




                              SOLUTION STEPS:
         60                                                                          60
FV




                                                               20
                              FIRST DRAW ISOMETRIC
                              OF IT’S BASE.

     x                    y   THEN DRAWSAME SHAPE
                              AS TOP, 60 MM ABOVE THE
                  E
              1       4       BASE PENTAGON CENTER.
              A
                              THEN REDUCE THE TOP TO
                              20 MM SIDES AND JOIN WITH
TV 40 20              D       THE PROPER BASE CORNERS.


              B


                                                             40
              2       3
                  C
ISOMETRIC VIEW OF                   11
    STUDY                   A FRUSTOM OF CONE
      Z
ILLUSTRATIONS           STANDING ON H.P. ON IT’S LARGER BASE.




     60
               FV



 X                  Y




40   20




          TV
PROBLEM: A SQUARE PYRAMID OF 30 MM BASE SIDES AND           12
    STUDY       50 MM LONG AXIS, IS CENTRALLY PLACED ON THE TOP OF A
      Z
ILLUSTRATIONS   CUBE OF 50 MM LONG EDGES.DRAW ISOMETRIC VIEW OF THE PAIR.




                                        50




                  30




                                               50
13
    STUDY
      Z
ILLUSTRATIONS



                                                             c
PROBLEM: A TRIANGULAR PYRAMID
OF 30 MM BASE SIDES AND 50 MM               a
LONG AXIS, IS CENTRALLY PLACED                        o
ON THE TOP OF A CUBE OF 50 MM                     p                               a
LONG EDGES.                                            b
DRAW ISOMETRIC VIEW OF THE PAIR.
                                                                                      o   c
                                                                                  p

                                                                                  b


                                      SOLUTION HINTS.
                     TO DRAW ISOMETRIC OF A CUBE IS SIMPLE. DRAW IT AS USUAL.

                     BUT FOR PYRAMID AS IT’S BASE IS AN EQUILATERAL TRIANGLE,
                   IT CAN NOT BE DRAWN DIRECTLY.SUPPORT OF IT’S TV IS REQUIRED.

             SO DRAW TRIANGLE AS A TV, SEPARATELY AND NAME VARIOUS POINTS AS SHOWN.
                         AFTER THIS PLACE IT ON THE TOP OF CUBE AS SHOWN.
            THEN ADD HEIGHT FROM IT’S CENTER AND COMPLETE IT’S ISOMETRIC AS SHOWN.
14
    STUDY          PROBLEM:
      Z
ILLUSTRATIONS
                   A SQUARE PLATE IS PIERCED THROUGH CENTRALLY
                   BY A CYLINDER WHICH COMES OUT EQUALLY FROM BOTH FACES
                   OF PLATE. IT’S FV & TV ARE SHOWN. DRAW ISOMETRIC VIEW.




  FV        30

            10

            30



            30 D



 50    +


       50

       TV
15
    STUDY                  PROBLEM:
      Z
ILLUSTRATIONS              A CIRCULAR PLATE IS PIERCED THROUGH CENTRALLY
                           BY A SQUARE PYRAMID WHICH COMES OUT EQUALLY FROM BOTH FACES
                           OF PLATE. IT’S FV & TV ARE SHOWN. DRAW ISOMETRIC VIEW.




  FV              30


                  10


                  30




                   40 SQUARE




                60 D
 TV
16
    STUDY
      Z
ILLUSTRATIONS
                          F.V. & T.V. of an object are given. Draw it’s isometric view.



               10


          20
                     40


     FV


                     40


 X                     Y




     TV

 50 D               30 D
STUDY
         Z
ILLUSTRATIONS     ISOMETRIC PROJECTIONS OF SPHERE & HEMISPHERE                                                 17


                           450                                                r




                                             n
         R




                                          io
                                        ct
                                                                                              r




                                        re
             r     300                                                        R




                                      Di
                                                                                          r




                                    o-
                                  Is
    Isom. Scale
                                                                                    P


                       C
     r                     r
                   R                                 C
R                                                                    TO DRAW ISOMETRIC PROJECTION
                                                 R                         OF A HEMISPHERE
                    P                                    r
                                                     P                                    Adopt same procedure.
 C = Center of Sphere.                                                                  Draw lower semicircle only.
                                                                                        Then around ā€˜C’ construct
 P = Point of contact                                                                   Rhombus of Sides equal to
 R = True Radius of Sphere                                                                  Isometric Diameter.
 r = Isometric Radius.                                                                     For this use iso-scale.
                                                                                         Then construct ellipse in
                                  TO DRAW ISOMETRIC PROJECTION OF A SPHERE                this Rhombus as usual
                               1. FIRST DRAW ISOMETRIC OF SQUARE PLATE.                        And Complete
                               2. LOCATE IT’S CENTER. NAME IT P.                           Isometric-Projection
                               3. FROM PDRAW VERTICAL LINE UPWARD, LENGTH ā€˜ r mm’             of Hemi-sphere.
                                  AND LOCATE CENTER OF SPHERE ā€œCā€
                               4. ā€˜C’ AS CENTER, WITH RADIUS ā€˜R’ DRAW CIRCLE.
                                  THIS IS ISOMETRIC PROJECTION OF A SPHERE.
PROBLEM:                                                  18
                                                                   STUDY
A HEMI-SPHERE IS CENTRALLY PLACED
ON THE TOP OF A FRUSTOM OF CONE.                                    Z
                                                               ILLUSTRATIONS
DRAW ISOMETRIC PROJECTIONS OF THE ASSEMBLY.



                                              r
                               50 D
                                              R           r
                30 D
                                                      r
50
                                                  P



                50 D

FIRST CONSTRUCT ISOMETRIC SCALE.
USE THIS SCALE FOR ALL DIMENSIONS
IN THIS PROBLEM.




                             450
        R
            r          300
19
    STUDY            A SQUARE PYRAMID OF 40 MM BASE SIDES AND 60 MM AXIS
      Z
ILLUSTRATIONS
                 IS CUT BY AN INCLINED SECTION PLANE THROUGH THE MID POINT
                OF AXIS AS SHOWN.DRAW ISOMETRIC VIEW OF SECTION OF PYRAMID.




                                                           3’ 4’

                    4

                          3                 1’2’


                                     X                                 Y
           1                                a                      d
                                                   1
                                                           4

                    2
                                                       o

                                                            3
                                            b      2               c
20
    STUDY
      Z
ILLUSTRATIONS
                F.V. & T.V. of an object are given. Draw it’s isometric view.




                                                                      50




                                                    O
                                                X                 Y

                                           20



                                           25



                O
                                                        25   20
21
    STUDY
      Z             F.V. & T.V. of an object are given. Draw it’s isometric view.
ILLUSTRATIONS



                                                                                35
                                                           FV


                                                                                35


                                                                                10
                                                x                                    y
                                                    O


                                                            10             20   30



                                                                      40

                                                                 70

                                                                      TV
                O
22
    STUDY
      Z
ILLUSTRATIONS
                F.V. & T.V. and S.V.of an object are given. Draw it’s isometric view.



                                                        FV

                                                  30   10    30         SV

                                             30


                                             10


                                             30
                                         x                                           y




                                                             ALL VIEWS IDENTICAL
                                                        TV
24
    STUDY
      Z
ILLUSTRATIONS
                F.V. & T.V. and S.V.of an object are given. Draw it’s isometric view.


                                                 ALL VIEWS IDENTICAL

                                                   FV                     SV




                                        x                                        y



                                        10
                                                           40        60




                                                   40
                                                                TV
                                                   60
F.V. & T.V. and S.V.of an object are given. Draw it’s isometric view.   25
    STUDY
      Z
ILLUSTRATIONS
                                                          ALL VIEWS IDENTICAL

                                                     FV                      SV




                                          x                                              y
                                                                   10




                                                                  40    60




                                                     40           TV

                                                     60
26
                                                                                      STUDY
                                                                                        Z
                                                                                  ILLUSTRATIONS
          F.V. & T.V. and S.V.of an object are given. Draw it’s isometric view.



          ORTHOGRAPHIC PROJECTIONS



              FRONT VIEW      L.H.SIDE VIEW

                                              20

                                              20

                                              20
      x                                            y
          O                        50
     20


     30

                                                                      O
              20   20    20

              TOP VIEW
27
    STUDY
      Z
ILLUSTRATIONS
                     F.V. and S.V.of an object are given.
                     Draw it’s isometric view.




                                                           30 SQUARE
                               40          20




                                                               50




                                                               20
                    10

                         O                           30
                                                    60
                                    F.V.
                                                    S.V.
                O
28
    STUDY
      Z
ILLUSTRATIONS
                       F.V. & T.V. of an object are given. Draw it’s isometric view.


         FV
                                         40




                                         10
    O
                30 D              45




   10
                                          50
                                                                O


                       80

                  TV
29
    STUDY         F.V. & T.V. of an object are given. Draw it’s isometric view.
      Z
ILLUSTRATIONS




      FV                             40

 X          O                        10   Y
                100
     10
                                     25
      TV
                      10   30   10
                                     25
     30 R                                                     O
                 20 D
30
    STUDY       F.V. & T.V. of an object are given. Draw it’s isometric view.
      Z
ILLUSTRATIONS

                                                                              30


                                               FV
                                                                     RECT.
                                                                     SLOT

                                                             10               50
                                                        35



                                                                              10
                                           X                                        Y
                                                    O
                                                                             20 D




                                               TV



                                            60 D
                                                                             30 D

                O
31
    STUDY
      Z
ILLUSTRATIONS
                    F.V. and S.V.of an object are given. Draw it’s isometric view.




                                                                           10



                                                                25          15



                                                                                            25
                                                40                                     10


                                                                                            25


                                                                                            25

                O                       O
                                                        80                      25

                                                 F.V.                           S.V.
F.V. & T.V. of an object are given. Draw it’s isometric view.        32
    STUDY
      Z
ILLUSTRATIONS



                                                            450


                                                  30
                                                                              FV




                                               40


                                              X                                 Y
                                                        O
                                                                       30 D




                                                   40                           TV



                                                                        15
                                                                  40
                    O
33
    STUDY
      Z
ILLUSTRATIONS
                                  F.V. and S.V.of an object are given.
                                  Draw it’s isometric view.




                                                      HEX PART
                                                                 30
                                     20
                                                                 20
                                            40
                                                                      20

                O                                                50
                    20
                         15

                              O                                  30
                                    100                          60
34
    STUDY           F.V. & T.V. of an object are given. Draw it’s isometric view.
      Z
ILLUSTRATIONS
                                                                20        40



                                                      F.V.
                                                                                    30



                                             10
                                        X                                           Y
                                                  O



                                                                                    10




                                                                                    30

                                                                               10

                                                                     30
                O                                                    80

                                                         T.V.
F.V. and S.V.of an object are given.
                                                             35
             Draw it’s isometric view.


                                                        STUDY
        10   10   15
                                                          Z
                                                    ILLUSTRATIONS
                                      25


                                      25
X                                          Y
    O                     50     10
          FV             LSV


                                                            36
NOTE THE SMALL CHZNGE IN 2ND FV & SV.
   DRAW ISOMETRIC ACCORDINGLY.

             10




    X                                          Y
         O         FV           LSV
37
    STUDY
      Z
ILLUSTRATIONS


                                  F.V. and S.V.of an object are given.
                                  Draw it’s isometric view.




                                      30            20     10    20


                                                                      15
                                                     10


                                                                      15


                O
                                                                      15
                                                            30

                    15
                    X    O                                            Y
                             50

                             F.V.                        LEFT S.V.
38
    STUDY
      Z
ILLUSTRATIONS
                             F.V. and S.V.of an object are given.
                             Draw it’s isometric view.




                               30                               10




                                                      60



                    30
                O

                         O            40                            40
                                      F.V.                      S.V.

Isometric

  • 1.
    ISOMETRIC DRAWING TYPICAL CONDITION. IT IS A TYPE OF PICTORIAL PROJECTION IN THIS 3-D DRAWING OF AN OBJECT, IN WHICH ALL THREE DIMENSIONS OF ALL THREE DIMENSIONAL AXES ARE AN OBJECT ARE SHOWN IN ONE VIEW AND MENTAINED AT EQUAL INCLINATIONS IF REQUIRED, THEIR ACTUAL SIZES CAN BE WITH EACH OTHER.( 1200) MEASURED DIRECTLY FROM IT. 3-D DRAWINGS CAN BE DRAWN NOW OBSERVE BELOW GIVEN DRAWINGS. IN NUMEROUS WAYS AS SHOWN BELOW. ONE CAN NOTE SPECIFIC INCLINATION ALL THESE DRAWINGS MAY BE CALLED AMONG H, L & D AXES. 3-DIMENSIONAL DRAWINGS, ISO MEANS SAME, SIMILAR OR EQUAL. OR PHOTOGRAPHIC HERE ONE CAN FIND OR PICTORIAL DRAWINGS. EDUAL INCLINATION AMONG H, L & D AXES. HERE NO SPECIFIC RELATION EACH IS 1200 INCLINED WITH OTHER TWO. AMONG H, L & D AXES IS MENTAINED. HENCE IT IS CALLED ISOMETRIC DRAWING L H H H PURPOSE OF ISOMETRIC DRAWING IS TO UNDERSTAND OVERALL SHAPE, SIZE & APPEARANCE OF AN OBJECT PRIOR TO IT’S PRODUCTION.
  • 2.
    SOME IMPORTANT TERMS: ISOMETRICAXES, LINES AND PLANES: The three lines AL, AD and AH, meeting at point A and making 1200 angles with each other are termed Isometric Axes. A The lines parallel to these axes are called Isometric Lines. The planes representing the faces of of the cube as well as other planes parallel to these planes are called Isometric Planes. H ISOMETRIC SCALE: When one holds the object in such a way that all three dimensions are visible then in the process all dimensions become proportionally inclined to observer’s eye sight and hence appear apparent in lengths. This reduction is 0.815 or 9 / 11 ( approx.) It forms a reducing scale which Is used to draw isometric drawings and is called Isometric scale. In practice, while drawing isometric projection, it is necessary to convert true lengths into isometric lengths for measuring and marking the sizes. This is conveniently done by constructing an isometric scale as described on next page.
  • 3.
    TYPES OF ISOMETRICDRAWINGS ISOMETRIC VIEW ISOMETRIC PROJECTION Drawn by using True scale Drawn by using Isometric scale ( True dimensions ) ( Reduced dimensions ) D 4 3 H S TH 2 C H NG 4 LE E RU T 1 3 2 THS NG . LE CONSTRUCTION OF ISOM.SCALE. 0 OM From point A, with line AB draw 300 and 1 IS 450 inclined lines AC & AD resp on AD. 450 Mark divisions of true length and from 0 300 A B each division-point draw vertical lines Isometric scale [ Line AC ] upto AC line. The divisions thus obtained on AC required for Isometric Projection give lengths on isometric scale.
  • 4.
    1 SHAPE Isometric view if the Shape is ISOMETRIC OF F.V. or T.V. D PLANE FIGURES H RECTANGLE D A D A L AS THESE ALL ARE L C D 2-D FIGURES C WE REQUIRE ONLY TWO A ISOMETRIC AXES. B C B B IF THE FIGURE IS B FRONT VIEW, H & L H TRIANGLE 3 B AXES ARE REQUIRED. 1 L B 1 3 L IF THE FIGURE IS TOP A D A VIEW, D & L AXES ARE 3 REQUIRED. 1 2 A 2 2 Shapes containing 4 Inclined lines should PENTAGON H E be enclosed in a 1 E 4 1 D 4 rectangle as shown. D E Then first draw isom. A D A D L of that rectangle and L 1 3 then inscribe that 3 A C C shape as it is. 2 B B C 3 B 2 2
  • 5.
    STUDY 2 Z ILLUSTRATIONS DRAW ISOMETRIC VIEW OF A CIRCLE IF IT IS A TV OR FV. FIRST ENCLOSE IT IN A SQUARE. IT’S ISOMETRIC IS A RHOMBUS WITH D & L AXES FOR TOP VIEW. THEN USE H & L AXES FOR ISOMETRIC B WHEN IT IS FRONT VIEW. FOR CONSTRUCTION USE RHOMBUS METHOD SHOWN HERE. STUDY IT. 2 2 C 4 A B 3 4 3 A 1 D C D 1
  • 6.
    3 STUDY Z ILLUSTRATIONS 25 R DRAW ISOMETRIC VIEW OF THE FIGURE SHOWN WITH DIMENTIONS (ON RIGHT SIDE) CONSIDERING IT FIRST AS F.V. AND THEN T.V. 50 MM IF FRONT VIEW 100 MM IF TOP VIEW
  • 7.
    ISOMETRIC SHAPE IF F.V. IF T.V. 4 OF PLANE FIGURES HEXAGON AS THESE ALL ARE 2-D FIGURES WE REQUIRE ONLY TWO ISOMETRIC AXES. CIRCLE IF THE FIGURE IS FRONT VIEW, H & L AXES ARE REQUIRED. IF THE FIGURE IS TOP VIEW, D & L For Isometric of Circle/Semicircle use Rhombus method. Construct Rhombus AXES ARE REQUIRED. of sides equal to Diameter of circle always. ( Ref. topic ENGG. CURVES.) SEMI CIRCLE For Isometric of Circle/Semicircle use Rhombus method. Construct it of sides equal to diameter of circle always. ( Ref. Previous two pages.)
  • 8.
    5 STUDY Z ILLUSTRATIONS ISOMETRIC VIEW OF PENTAGONAL PYRAMID STANDING ON H.P. (Height is added from center of pentagon) ISOMETRIC VIEW OF BASE OF PENTAGONAL PYRAMID STANDING ON H.P. 4 4 D D E E D L D L 1 3 1 3 A C A C B 2 B 2
  • 9.
    6 STUDY Z ILLUSTRATIONS ISOMETRIC VIEW OF PENTAGONALL PRISM LYING ON H.P. 4 H E 1 D A L 3 C B 2 ISOMETRIC VIEW OF HEXAGONAL PRISM STANDING ON H.P.
  • 10.
    7 STUDY Z ILLUSTRATIONS CYLINDER STANDING ON H.P. CYLINDER LYING ON H.P.
  • 11.
    8 STUDY Z HALF CYLINDER ILLUSTRATIONS STANDING ON H.P. ( ON IT’S SEMICIRCULAR BASE) HALF CYLINDER LYING ON H.P. ( with flat face // to H.P.)
  • 12.
    9 STUDY ISOMETRIC VIEW OF Z A FRUSTOM OF SQUARE PYRAMID ILLUSTRATIONS STANDING ON H.P. ON IT’S LARGER BASE. 60 FV X Y 40 20 TV
  • 13.
    STUDY 10 ILLUSTRATION PROJECTIONS OF FRUSTOM OF ISOMETRIC VIEW PENTAGONAL PYRAMID ARE GIVEN. OF FRUSTOM OF PENTAGONAL PYRAMID DRAW IT’S ISOMETRIC VIEW. SOLUTION STEPS: 60 60 FV 20 FIRST DRAW ISOMETRIC OF IT’S BASE. x y THEN DRAWSAME SHAPE AS TOP, 60 MM ABOVE THE E 1 4 BASE PENTAGON CENTER. A THEN REDUCE THE TOP TO 20 MM SIDES AND JOIN WITH TV 40 20 D THE PROPER BASE CORNERS. B 40 2 3 C
  • 14.
    ISOMETRIC VIEW OF 11 STUDY A FRUSTOM OF CONE Z ILLUSTRATIONS STANDING ON H.P. ON IT’S LARGER BASE. 60 FV X Y 40 20 TV
  • 15.
    PROBLEM: A SQUAREPYRAMID OF 30 MM BASE SIDES AND 12 STUDY 50 MM LONG AXIS, IS CENTRALLY PLACED ON THE TOP OF A Z ILLUSTRATIONS CUBE OF 50 MM LONG EDGES.DRAW ISOMETRIC VIEW OF THE PAIR. 50 30 50
  • 16.
    13 STUDY Z ILLUSTRATIONS c PROBLEM: A TRIANGULAR PYRAMID OF 30 MM BASE SIDES AND 50 MM a LONG AXIS, IS CENTRALLY PLACED o ON THE TOP OF A CUBE OF 50 MM p a LONG EDGES. b DRAW ISOMETRIC VIEW OF THE PAIR. o c p b SOLUTION HINTS. TO DRAW ISOMETRIC OF A CUBE IS SIMPLE. DRAW IT AS USUAL. BUT FOR PYRAMID AS IT’S BASE IS AN EQUILATERAL TRIANGLE, IT CAN NOT BE DRAWN DIRECTLY.SUPPORT OF IT’S TV IS REQUIRED. SO DRAW TRIANGLE AS A TV, SEPARATELY AND NAME VARIOUS POINTS AS SHOWN. AFTER THIS PLACE IT ON THE TOP OF CUBE AS SHOWN. THEN ADD HEIGHT FROM IT’S CENTER AND COMPLETE IT’S ISOMETRIC AS SHOWN.
  • 17.
    14 STUDY PROBLEM: Z ILLUSTRATIONS A SQUARE PLATE IS PIERCED THROUGH CENTRALLY BY A CYLINDER WHICH COMES OUT EQUALLY FROM BOTH FACES OF PLATE. IT’S FV & TV ARE SHOWN. DRAW ISOMETRIC VIEW. FV 30 10 30 30 D 50 + 50 TV
  • 18.
    15 STUDY PROBLEM: Z ILLUSTRATIONS A CIRCULAR PLATE IS PIERCED THROUGH CENTRALLY BY A SQUARE PYRAMID WHICH COMES OUT EQUALLY FROM BOTH FACES OF PLATE. IT’S FV & TV ARE SHOWN. DRAW ISOMETRIC VIEW. FV 30 10 30 40 SQUARE 60 D TV
  • 19.
    16 STUDY Z ILLUSTRATIONS F.V. & T.V. of an object are given. Draw it’s isometric view. 10 20 40 FV 40 X Y TV 50 D 30 D
  • 20.
    STUDY Z ILLUSTRATIONS ISOMETRIC PROJECTIONS OF SPHERE & HEMISPHERE 17 450 r n R io ct r re r 300 R Di r o- Is Isom. Scale P C r r R C R TO DRAW ISOMETRIC PROJECTION R OF A HEMISPHERE P r P Adopt same procedure. C = Center of Sphere. Draw lower semicircle only. Then around ā€˜C’ construct P = Point of contact Rhombus of Sides equal to R = True Radius of Sphere Isometric Diameter. r = Isometric Radius. For this use iso-scale. Then construct ellipse in TO DRAW ISOMETRIC PROJECTION OF A SPHERE this Rhombus as usual 1. FIRST DRAW ISOMETRIC OF SQUARE PLATE. And Complete 2. LOCATE IT’S CENTER. NAME IT P. Isometric-Projection 3. FROM PDRAW VERTICAL LINE UPWARD, LENGTH ā€˜ r mm’ of Hemi-sphere. AND LOCATE CENTER OF SPHERE ā€œCā€ 4. ā€˜C’ AS CENTER, WITH RADIUS ā€˜R’ DRAW CIRCLE. THIS IS ISOMETRIC PROJECTION OF A SPHERE.
  • 21.
    PROBLEM: 18 STUDY A HEMI-SPHERE IS CENTRALLY PLACED ON THE TOP OF A FRUSTOM OF CONE. Z ILLUSTRATIONS DRAW ISOMETRIC PROJECTIONS OF THE ASSEMBLY. r 50 D R r 30 D r 50 P 50 D FIRST CONSTRUCT ISOMETRIC SCALE. USE THIS SCALE FOR ALL DIMENSIONS IN THIS PROBLEM. 450 R r 300
  • 22.
    19 STUDY A SQUARE PYRAMID OF 40 MM BASE SIDES AND 60 MM AXIS Z ILLUSTRATIONS IS CUT BY AN INCLINED SECTION PLANE THROUGH THE MID POINT OF AXIS AS SHOWN.DRAW ISOMETRIC VIEW OF SECTION OF PYRAMID. 3’ 4’ 4 3 1’2’ X Y 1 a d 1 4 2 o 3 b 2 c
  • 23.
    20 STUDY Z ILLUSTRATIONS F.V. & T.V. of an object are given. Draw it’s isometric view. 50 O X Y 20 25 O 25 20
  • 24.
    21 STUDY Z F.V. & T.V. of an object are given. Draw it’s isometric view. ILLUSTRATIONS 35 FV 35 10 x y O 10 20 30 40 70 TV O
  • 25.
    22 STUDY Z ILLUSTRATIONS F.V. & T.V. and S.V.of an object are given. Draw it’s isometric view. FV 30 10 30 SV 30 10 30 x y ALL VIEWS IDENTICAL TV
  • 26.
    24 STUDY Z ILLUSTRATIONS F.V. & T.V. and S.V.of an object are given. Draw it’s isometric view. ALL VIEWS IDENTICAL FV SV x y 10 40 60 40 TV 60
  • 27.
    F.V. & T.V.and S.V.of an object are given. Draw it’s isometric view. 25 STUDY Z ILLUSTRATIONS ALL VIEWS IDENTICAL FV SV x y 10 40 60 40 TV 60
  • 28.
    26 STUDY Z ILLUSTRATIONS F.V. & T.V. and S.V.of an object are given. Draw it’s isometric view. ORTHOGRAPHIC PROJECTIONS FRONT VIEW L.H.SIDE VIEW 20 20 20 x y O 50 20 30 O 20 20 20 TOP VIEW
  • 29.
    27 STUDY Z ILLUSTRATIONS F.V. and S.V.of an object are given. Draw it’s isometric view. 30 SQUARE 40 20 50 20 10 O 30 60 F.V. S.V. O
  • 30.
    28 STUDY Z ILLUSTRATIONS F.V. & T.V. of an object are given. Draw it’s isometric view. FV 40 10 O 30 D 45 10 50 O 80 TV
  • 31.
    29 STUDY F.V. & T.V. of an object are given. Draw it’s isometric view. Z ILLUSTRATIONS FV 40 X O 10 Y 100 10 25 TV 10 30 10 25 30 R O 20 D
  • 32.
    30 STUDY F.V. & T.V. of an object are given. Draw it’s isometric view. Z ILLUSTRATIONS 30 FV RECT. SLOT 10 50 35 10 X Y O 20 D TV 60 D 30 D O
  • 33.
    31 STUDY Z ILLUSTRATIONS F.V. and S.V.of an object are given. Draw it’s isometric view. 10 25 15 25 40 10 25 25 O O 80 25 F.V. S.V.
  • 34.
    F.V. & T.V.of an object are given. Draw it’s isometric view. 32 STUDY Z ILLUSTRATIONS 450 30 FV 40 X Y O 30 D 40 TV 15 40 O
  • 35.
    33 STUDY Z ILLUSTRATIONS F.V. and S.V.of an object are given. Draw it’s isometric view. HEX PART 30 20 20 40 20 O 50 20 15 O 30 100 60
  • 36.
    34 STUDY F.V. & T.V. of an object are given. Draw it’s isometric view. Z ILLUSTRATIONS 20 40 F.V. 30 10 X Y O 10 30 10 30 O 80 T.V.
  • 37.
    F.V. and S.V.ofan object are given. 35 Draw it’s isometric view. STUDY 10 10 15 Z ILLUSTRATIONS 25 25 X Y O 50 10 FV LSV 36 NOTE THE SMALL CHZNGE IN 2ND FV & SV. DRAW ISOMETRIC ACCORDINGLY. 10 X Y O FV LSV
  • 38.
    37 STUDY Z ILLUSTRATIONS F.V. and S.V.of an object are given. Draw it’s isometric view. 30 20 10 20 15 10 15 O 15 30 15 X O Y 50 F.V. LEFT S.V.
  • 39.
    38 STUDY Z ILLUSTRATIONS F.V. and S.V.of an object are given. Draw it’s isometric view. 30 10 60 30 O O 40 40 F.V. S.V.