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TA 101 T hink and A nalyze. Anupam Saxena Associate Professor Mechanical Engineering Compliant and Robotic Systems Lab Indian Institute of T e chnology Kanpur. Lines and Planes. Organization of Lectures and Laboratory Assignments. METHOD OF AUXILIARY PLANE. Y. X. Z. X. ANUPAM SAXENA - PowerPoint PPT Presentation
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TA 101
Think and Analyze
Anupam SaxenaAssociate Professor
Mechanical EngineeringCompliant and Robotic Systems Lab
Indian Institute of Technology Kanpur
Lines and Planes
Organization of Lectures and Laboratory AssignmentsTopic Week (No. of Lectures) Lab
Intro and Basic Constructions Week 1 (2)
Orthographic Projections Week 2 (2) Lab 1
Orthographic Projections Week 3 (2) Lab 2
Isometric Projections Week 4 (2) Lab 3
Missing Views Week 5 (2) Lab 4
Sectional and Assembly Week 6 (2) Lab 5
Oblique Projections Week 7 (1) Lab 6
Perspective Projections Week 8 (3) Lab 7
Lines and Planes Week 9 (2) Lab 8
Lines and Planes Week 10 (2) Lab 9
Auxiliary Projections Week 11 (2) Lab 10
Intersection of lines/planes/solids
Week 12 (2) Lab 11
Intersection and Development Week 13 (2) Lab 12
TOTAL 26 12
ANUPAM SAXENATA101 LECTURE XVIILINES AND PLANES
X
Z
X
Y
METHOD OF AUXILIARY PLANE
ANUPAM SAXENATA101 LECTURE XVIILINES AND PLANES
METHOD OF AUXILIARY PLANE
ANUPAM SAXENATA101 LECTURE XVIILINES AND PLANES
METHOD OF AUXILIARY PLANE
ANUPAM SAXENATA101 LECTURE XVIILINES AND PLANES
METHOD OF AUXILIARY PLANE
PV
ANUPAM SAXENATA101 LECTURE XVIILINES AND PLANES
METHOD OF AUXILIARY PLANE
PV
ANUPAM SAXENATA101 LECTURE XVIILINES AND PLANES
METHOD OF AUXILIARY PLANE
PV
PV
ANUPAM SAXENATA101 LECTURE XVIILINES AND PLANES
PARALLEL LINES
π΄π»
π΄π
πΆπ»
π·π»
πΆπ
π·π
πΆ1
π·1
π πΏ
π΄1 π΅1
π πΏ
ANUPAM SAXENATA101 LECTURE XVIILINES AND PLANES
PARALLEL LINES
π΄π»
π΄π
πΆπ»
π·π»
πΆπ
π·π
πΆ1 π πΏ
π΄1 π΅1
π πΏ π·1
ANUPAM SAXENATA101 LECTURE XVIILINES AND PLANES
PERPENDICULAR TO A LINE FROM A POINT
π΄π»
π΄π
πΆπ»
π·π»
πΆπ
π·π
πΆ1
π·1
π πΏ
π΄1
ππ (πΆπ·)
π΄2
π πΏ
π΅1
π΅π»
π΅π
ANUPAM SAXENATA101 LECTURE XVIILINES AND PLANES
SHORTEST DISTANCE BETWEEN LINES
π΄π»
π΄π
πΆπ»
π·π»
πΆπ
π·π
π΅π»
π΅ππΆ1
π·1π πΏ
π΄1
π΅1 ππ (πΆπ·)
π΄2
π΅2
?π 2
π 1
π1
ππ»
ππ»
ππ
ππ
ANUPAM SAXENATA101 LECTURE XVIIILINES AND PLANES
π΄π
π΅π
πΆπ
π΄π»π΅π»
πΆπ»
TA: TO FIND THE EDGE VIEW AND THE TRUE SHAPE
π·π»
TL
H
V
V A1
PV
π·π
EV
π΅π΄1
πΆπ΄1
ANUPAM SAXENATA101 LECTURE XVIIILINES AND PLANES
π΄π
π΅π
πΆπ
π΄π»
π΅π»
πΆπ»
π·π»TL
H
V
π·π
EV
H A1
PV
π΅π΄1
πΆπ΄1
A1 A2
TS
π΅π΄ 2
πΆπ΄ 2
π΄π΄2
ANUPAM SAXENATA101 LECTURE XVIIILINES AND PLANES
π΄π
π΅π
πΆπ
π΄π»π΅π»
πΆπ»
π·π»
TL
H
V
V A1
PV
π·π
EV
π΅π΄1
πΆπ΄1A1
A2
TS
π΅π΄ 2
πΆπ΄ 2
π΄π΄2
ANUPAM SAXENATA101 LECTURE XVIIILINES AND PLANES
π΄π
π΅π
πΆπ
π΄π»π΅π»
πΆπ»
π·π»
TL
H
V
V A1
PV
π·π
EV
π΅π΄1
πΆπ΄1A1
A2
TS
π΅π΄ 2
πΆπ΄ 2
π΄π΄2
π΅π΄ 2
πΆπ΄ 2
π΄π΄2
ANUPAM SAXENATA101 LECTURE XVIIILINES AND PLANES
π΄π
π΅π
πΆπ
π΄π»π΅π»
πΆπ»
π·π»
TL
H
V
V A1
PV
π·π
EV
π΅π΄1
πΆπ΄1A1
A2
TS
π΅π΄ 2
πΆπ΄ 2
π΄π΄2
π΅π΄ 2
πΆπ΄ 2
π΄π΄2
ANUPAM SAXENATA101 LECTURE XVIIILINES AND PLANES
π΄π
π΅π
πΆπ
π΄π»π΅π»
πΆπ»
π·π»
TL
H
V
V A1
PV
π·π
EV
π΅π΄1
πΆπ΄1A1
A2
TS
π΅π΄ 2
πΆπ΄ 2
π΄π΄2
π΅π΄ 2
πΆπ΄ 2 π΄π΄2
ANUPAM SAXENATA101 LECTURE XVIIILINES AND PLANES
π΄π
π΅π
πΆπ
π΄π»π΅π»
πΆπ»
π·π»
TL
H
V
V A1
PV
π·π
EV
π΅π΄1
πΆπ΄1A1
A2
TS
π΅π΄ 2
πΆπ΄ 2
π΄π΄2
ANUPAM SAXENATA101 LECTURE XVIIILINES AND PLANES
π΄π
π΅π
πΆπ
π΄π»
π΅π»
πΆπ»
TA: LINE PARALLEL TO A PLANE
π·π»
TL
H
V
V A1
π·π
π΅π΄1
πΆπ΄1
ππ»
ππ
EV
, π π΄1
ππ΄150mm
TL
ππ
ππ»
ANUPAM SAXENATA101 LECTURE XVIIILINES AND PLANES
π΄π
π΅π
πΆπ
π΄π»
π΅π»
πΆπ»
TA: VERIFICATION: |PQ| SHOULD NOT CHANGE IN βTSβ VIEW OF ABC
π·π»
TL
H
V
V A1
π·π
π΅π΄1
πΆπ΄1
ππ»
ππ
EV
, π π΄1
ππ΄150mm
TL
ππ
ππ» π΅π΄ 2
π΄π΄2
πΆπ΄ 2
π π΄2
ππ΄2
TS
A1
A2
ANUPAM SAXENATA101 LECTURE XVIIILINES AND PLANES
π΄π
π΅π
πΆπ
π΄π»
π΅π»
πΆπ»
TA: LINE PERPENDICULAR TO A PLANE
π·π»
TL
H
V
V A1
π·π
π΅π΄1
πΆπ΄1
ππ»
ππEV
,
π π΄1
TL
ππ΄1
ππ
ππ»
ANUPAM SAXENATA101 LECTURE XVIIILINES AND PLANES
π΄π
π΅π
πΆπ
π΄π»
π΅π»
πΆπ»
π·π»
TL
H
V
A1
π·π
π΅π΄1
πΆπ΄1
ππ»
ππEV
,
π π΄1
TL
ππ΄1
ππ
ππ»
TA: VERIFICATION: PQ SHOULD BE IN βPVβ IN βTSβ VIEW OF ABC
π΅π΄ 2
π΄π΄2
πΆπ΄ 2TS
A1
A2
,
V
ANUPAM SAXENATA101 LECTURE XVIIILINES AND PLANES
π΄π
π΅π
πΆπ
π΄π»π΅π»
πΆπ»
TA: INTERSECTION OF A LINE AND A PLANE
π·π»
TL
H
V
V A1
π·π
EV
π΅π΄1
πΆπ΄1
ππ»
ππ»
ππ
ππ
π π΄1
ππ΄1
π π΄1
ππ
ππ»
TA: DO THE LINE AND PLANE INTERSECT ?
ANUPAM SAXENATA101 LECTURE XVIIILINES AND PLANES
π΄π
π΅π
πΆπ
π΄π»
π΅π»
πΆπ»
TA: INTERSECTION OF A LINE AND A PLANE
TL
H
V
V A1
π·π
EV
π΅π΄1
πΆπ΄1
ππ»
ππ»
ππ
ππ
π π΄1
ππ΄1
π π΄1
TA: DO THE LINE AND PLANE INTERSECT ?
π·π»
ππ
ππ»
Think and Analyze
Until next time...
