ta 101 t hink and a nalyze
DESCRIPTION
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 PresentationTRANSCRIPT
![Page 1: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/1.jpg)
TA 101
Think and Analyze
Anupam SaxenaAssociate Professor
Mechanical EngineeringCompliant and Robotic Systems Lab
Indian Institute of Technology Kanpur
![Page 2: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/2.jpg)
Lines and Planes
![Page 3: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/3.jpg)
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
![Page 4: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/4.jpg)
ANUPAM SAXENATA101 LECTURE XVIILINES AND PLANES
X
Z
X
Y
METHOD OF AUXILIARY PLANE
![Page 5: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/5.jpg)
ANUPAM SAXENATA101 LECTURE XVIILINES AND PLANES
METHOD OF AUXILIARY PLANE
![Page 6: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/6.jpg)
ANUPAM SAXENATA101 LECTURE XVIILINES AND PLANES
METHOD OF AUXILIARY PLANE
![Page 7: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/7.jpg)
ANUPAM SAXENATA101 LECTURE XVIILINES AND PLANES
METHOD OF AUXILIARY PLANE
PV
![Page 8: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/8.jpg)
ANUPAM SAXENATA101 LECTURE XVIILINES AND PLANES
METHOD OF AUXILIARY PLANE
PV
![Page 9: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/9.jpg)
ANUPAM SAXENATA101 LECTURE XVIILINES AND PLANES
METHOD OF AUXILIARY PLANE
PV
PV
![Page 10: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/10.jpg)
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
![Page 11: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/11.jpg)
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
![Page 12: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/12.jpg)
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
![Page 13: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/13.jpg)
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
![Page 14: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/14.jpg)
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
![Page 15: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/15.jpg)
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
![Page 16: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/16.jpg)
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
![Page 17: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/17.jpg)
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
![Page 18: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/18.jpg)
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
![Page 19: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/19.jpg)
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
![Page 20: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/20.jpg)
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
![Page 21: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/21.jpg)
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»
![Page 22: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/22.jpg)
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
![Page 23: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/23.jpg)
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»
![Page 24: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/24.jpg)
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
![Page 25: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/25.jpg)
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 ?
![Page 26: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/26.jpg)
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»
![Page 27: TA 101 T hink and A nalyze](https://reader035.vdocument.in/reader035/viewer/2022070407/56814339550346895dafabc1/html5/thumbnails/27.jpg)
Think and Analyze
Until next time...