Pojection of Planes.pptx

186 views 15 slides May 02, 2023
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Projection of Planes


Slide Content

PROJ E C T I O N OF PLANES

TYPES O F PL A NE FI G URES T R I A NGLE SQU A RE R E C T A NGLE C I RCLE TR A P E Z O I D P A R A LL E L O G R A M P E N T A GON H EXA GON D IAM O N D

TY P E S O F P LA N E S P E RPEN D I C U L A R PL A N E S Planes w hich a re p e r p e ndicular t o o n e o f t he princ i pal pr o jec t i o n and i nclined o r para l lel t o t he ot h e r OB L I Q UE P LA N E S Planes inclined t o b ot h t he r efe r e nce p lanes planes o f T R A CE O F P L A N E HO R I Z O NT A L TRACE T he i n t e r s e c t i o n l i ne o f t he pl a n e s ur f ac e w i t h H . P VE R T I CAL T R A CE T he i n t e r s e c t i o n l i ne o f t he pl a n e s ur f ac e w i t h V . P

P RO JE C T I O N O F PLANE P ER P E N D I CULAR H . P T O V . P AND PA R A LLEL T O

E X A M P L E 1 An e quil a te r al tri a ngle ABC o f 5 mm s i d e h as i ts pl a ne p a r a l l e l to H . P and side AB p a r allel to V . P D r aw its p r o j e c t i o n s w hen the c o r ner C is 1 5 mm f r o m H .P a nd 4 5 mm f r o m t he V .P

PR OJ E CTION O F PL A N E P E R P E N D I C UL A R V . P T O H.P AND PA R A L L EL T O

E X A M P L E 2 An e quil a te r al tri a ngle ABC o f 5 mm s i d e is p a r allel to a n d 1 5 mm in f r o n t o f V .P, i t s b a se AB is p a r a l l e l to and 7 5 mm a b o v e H .P, D r aw the proj e cti o ns o f t h e t r i a ngle w hen the c o r ner is near the H .P

P R O J E C T I O N O F PLANE P E R PE N D I C UL A R T O B O T H H . P A N D V . P

E X A M P L E 3 A s e m i c i r cle o f di a m e te r , C D = 5 is k e pt in the 1 st qu a dr a nt su c h th a t i t s di a m e ter is pe r pendicular to V .P a nd H . P, Dr a w i ts pr o je cti o ns, w h e n t he di a m e t e r i s ne a r V .P, dist a n c e o f di a m e ter fr o m H . P is 1 5 mm and f r o m V .P i s 2

P R O J E C T I O N O F PLANE PE R PE N D I CUL A R T O V . P AND IN C L IN E D T O H . P

E X A M P L E 4 A thin h o riz o nt a l pl a te o f 1 5 mm sides i s inclin e d at 4 5 ° to the H . P and pe r pen d i c ul a r to V .P, t w o o f its p a r allel e dges is p a r allel to V . P , t he pl a te is 1 m m a b o v e H . P and 1 5 mm in f r o n t o f V .P

P R O J E C T I O N O F PLANE PE R PE N D I CUL A R T O H . P AND I N CL I N ED T O V . P

E X A M P L E 5 Dr a w the p r o j e cti o n s o f a circular l a m ina o f 3 mm di a m e te r . T he l a mina i s inclin e d a an a ngle o f 4 5 ° t o V .P

P R O JE CT I ON OF O B L I Q UE P L AN E S W h e n t he plane i s inc l ined t o b ot h t he r e f e r e nce pl a n e s , pr o jec t i o ns are dra w n in t hr e e s t a g e s i t s Fi r st stag e , t he pl a ne is a s sum e d t o be pa r allel t o H . P S e c o n d sta g e , i t is t i l t e d so as t o make t h e r e q u ir e d angle w i t h t h e H . P, i t s F r o n t View in t his p o si t i o n w ill b e a line w hile i t s T o p View w i ll be smaller i s size T h i r d stag e , t he plane is t urn e d t o t he r e quir e d i nc linati o n w i t h t he V . P , o nly t he p o si t i o n o f t he Top V iew w ill al t e r. It s shape and size w ill n o t be a f f ec t e d

E X A M P L E 6 Dr a w the p r o j e cti o n s o f a reg u l a r hexag o n o f 2 mm side, h aving o ne o f its sides in the H . P a n d in c l ined a t 4 5 ° t o the V . P; and its s ur f ace ma k ing an a ngle o f 3 ° w i th the H .P
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