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A pentagonal pyramid 30 mm base sides & 60 mm long axis, is freely suspended from one corner of base so that a plane containing it’s axis remains parallel to VP. Draw it’s three views. Anna Univer sity Question on Engineering Graphics for First Year Students of all Branch of Engineering solved

Projection of Pentagonal Pyramid

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Page 1: Projection of Pentagonal Pyramid

A pentagonal pyramid 30 mm base sides & 60 mm long axis, is freely suspended from one corner of base so that a plane containing it’s axis remains parallel to VP. Draw it’s three views.

Anna Unive

rsity

Question

on Engin

eerin

g Grap

hics

for Firs

t Yea

r Stu

dents

of

all Bran

ch of E

nginee

ring

solve

d

Page 2: Projection of Pentagonal Pyramid

X Y

Draw XY line as shown

Page 3: Projection of Pentagonal Pyramid

X Y

Draw a line as shown perpendicular to XY line

Draw Pentagon as shown Keeping one edge on the line drawn and name the points

a

b c

d

e

o 30

assuming it standing on HP, draw TV - a regular pentagon, corner as shown

Page 4: Projection of Pentagonal Pyramid

X Y

Draw Projectors as shown

a

b c

d

e

o

Page 5: Projection of Pentagonal Pyramid

X Y

Draw Projector as shown

a

b c

d

e

o

Page 6: Projection of Pentagonal Pyramid

X Y

Draw a line as shown to get height of pyramid 60mm

a

b c

d

e

o60

Page 7: Projection of Pentagonal Pyramid

X Y

a

bc

d

e

o60

a’ b’(e’) c’(d’)

o’ Name the points as shown

Page 8: Projection of Pentagonal Pyramid

X Y

a

bc

d

e

o

a’ b’(e’) c’(d’)

o’ Join the points as shown

Page 9: Projection of Pentagonal Pyramid

X Y

a

bc

d

e

o

a’ b’(e’) c’(d’)

o’

Join the points as shown

Draw a line 1/4 distance of height from base actually it should be 1/3 distance but none of the engineering graphics books corrected this error from the birth of Engineering , the professors who are handling the subjects also may not be knowing , they will say that book has given like that if you do with 1/3 distance you may not get mark

60/4

=15

C.G

Page 10: Projection of Pentagonal Pyramid

X Y

a

bc

d

e

o

a’ b’(e’) c’(d’)

o’Join the centroid and corner points as shown

C.G

Page 11: Projection of Pentagonal Pyramid

X Y

a

bc

d

e

o

a’ b’(e’) c’(d’)

o’

C.G

a’

b’(e’)

c’(d’)

o’

C.G

Transfer the FRONT view keeping line passing through C.G and corner vertical as shown

When a solid is freelysuspended from acorner, then line joining point of contact & C.G. remains vertical.( Here axis shows inclination with HP.)So in all such cases, assume solid standing on HP initially.)

Page 12: Projection of Pentagonal Pyramid

X Y

a

bc

d

e

o

a’ b’(e’) c’(d’)

o’

C.G

a’

b’(e’)

c’(d’)

o’

C.G

Transfer the FRONT view keeping line passing through C.G and corner vertical as shown

Page 13: Projection of Pentagonal Pyramid

X Y

a

bc

d

e

o

a’ b’(e’) c’(d’)

o’

C.G

a’

b’(e’)

c’(d’)

o’

C.G

Draw Projectors as shown

Page 14: Projection of Pentagonal Pyramid

X Y

a

bc

d

e

o

a’ b’(e’) c’(d’)

o’

C.G

a1’

b1’(e1’)

c1’(d1’)

o1’

C.G

c1

d1

b1

a1

e1

o1

Draw Projectors as shown

Page 15: Projection of Pentagonal Pyramid

X Y

a

bc

d

e

o

a’ b’(e’) c’(d’)

o’

C.GC.G

a1’

b1’(e1’)

c1’(d1’)

o1’

c1

d1

b1

a1

e1

o1

Join the points as shown

Page 16: Projection of Pentagonal Pyramid

X Y

a

bc

d

e

o

a’ b’(e’) c’(d’)

o’

C.GC.G

a1’

b1’(e1’)

c1’(d1’)

o1’

c1

d1

b1

a1

e1

o1

TOP VIEW

FRONT VIEW

ALL DIMENSIONS ARE IN mmSCALE 1:1

VP

HP