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8/11/2019 Engineering Drawing Course File http://slidepdf.com/reader/full/engineering-drawing-course-file 1/27 COURSE FILE FOENGINEERING DR AWIN G-I FOR B.Tech I Yr - I Sem 2014 -  15 CVR COLLEGE OF ENGIN EER IN G (AUTO  NOMOUS) Vas!"a#ar$ Mangalpalli (V), I  brahim  patan (M), R. R. Dist. Pin : 5! 5!, "#mail : in$%&'r.a'.in *b : htt  p:++'r.a'.in

Engineering Drawing Course File

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!

E N G I N EER I N G D RAWI NG-I

%C&mm&" & a'' (ra"ches)

Instr ,'ti%n : - P*ri%s + **/ "n "0aminati%n : 15 Mar / sT,t%r ial : 2 P*ri%s + **/  D,rati%n : 2 3%,r s

4r *its

UNIT * I

: - S*ssi%nal Mar / s : -5

I"r&+!c,&" & e"#,"eer,"# +ra-,"#. Prin'ipl*s %$ "ngin**ring raphi's an th*ir 

Signi$ i'an'* 6   Dra7ing Instr ,m*nts an th*ir Us* 6 4%n(*nti%ns in Dra7ing 68IS 4%n*nti%ns.9*tt*r ing, Dim*nsi%ning an *%m*tri'al 4%nstr ,'ti%ns

C!r/es !se+ ," E"#,"eer,"# rac,ce 1 he,r C&"sr!c,&"s. 4%ni' S*'ti%ns  6 4%nstr ,'ti%n

%$ "llips* sing *n*ral, Obl%ng, Ar' an 4%n'*ntri' 'ir'l*s m*th%s

UNIT * II

C&",c Sec,&"s  6 Parab%la, 3p*rb%la an R*'tanglar 3p*rb%la 6 th*ir '%nstr'ti%n ,sing

*n*ral, Ar' an R*'tangl* m*th%s.

UNIT *III

Oher C!r/es !se+ ," E"#,"eer,"# rac,ce. 4'l%i, "pi#''l%i an 3p%#''l%i an

In(%lt*s  6 '%nstr ,'ti%n

UNIT * IVSca'es. Di$$ *r *nt tp*s %$ S'al*s, Plain, Diag%nal, 4%mparati(*, V*rni*r an S'al*s %$ 4h%r s

UNIT * Vr,"c,'es &3 Orh&#rah,c r&ec,&"s  6 4%n(*nti%ns  6 ;nam*ntals %$ ;irst an Thir Angl* pr%<*'ti%ns, Pr%<*'ti%ns %$ P%ints, Pr%<*'ti%n %$ 9in*s in'lin* t% %n* plan* an Tr a'*s.

UNIT * VI

r&ec,&"s &3 L,"es.  9in*s in'lin* t% th* plan*s, Tr* l*ngth an Tr a'*s.

UNIT * VII

r&ec,&" &3 'a"es. Pr%<*'ti%ns %$ r*glar Plan*s  6 plan*s parall*l t% %n* an p*r  p*ni',lar 

t% %th*r plan*, plan*s p*rp*ni'lar t% %n* an in'lin* t% th* %th*r , plan*s in'lin* t% b%th

 plan*s, Pr%<*'ti%n %$ Plan*s sing A,0iliar :  plan* m*th%.

UNIT * VIII

r&ec,&" &3 s&',+s. Pr%<*'ti%ns %$ R*glar S%lis -  4%n*, 4lin*r , Prism, Prami, 4b*

an T*trah*r%n -  in'lin* t% %n* an in'lin* t% b%th th* plan*s, Pr%<*'ti%n %$ S%lis ,sing

A,0iliar :  plan* m*th%.

TE5T BOO6 S.

!. "ngin**ring Dra7ing-  N.D. 8hat + 4har%tar P, blish*rs

-. "ngin**ring Dra7ing 6 8asant Agr a7al + Tata M'ra7 3ill Pblish*rs

REFERENCE BOO6 S.

!. "ngin**ring Dra7ing an raphi's, V*ng%pal +  N*7 ag* Pblish*rs

-. "ngin**ring Dra7ing- Dhanan<a =%hl*+ Tata M'ra7 3ill Pblish*rs

2. "ngin**ring raphi's $%r D*gr**  6 >.4. =%hn.

?. "ngin**ring Dra7ing -  Naraana an > annaiah + S'it*'h P, blish*rs

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t*'hniA*s an t*'hn%l%gi*s r*Air* th* 'larit in n*rstaning ar i%,s

'%n'*pts in(%l(*. Th* pr%'ts, pr%'*ss*s in *(*r $i*l. %$ *ngin**ring li/ *

4i(il, M*'hani'al, 4%mpt*r s'i*n'*, "l*'tr%ni's an "l*'tri'al *t'., 'an  b*

 b*tt*r n*rst%% i$ %n* '%n'*ptaliB*s th* r*al app*aran'* %$ th* %b<*'t. This

'an b*tt*r  b* a'hi*(*  b th* illstrati%ns in th* $ %r m  %$ s/*t'h*s, iagrams

an $ ig,r *s.  I$ th*s* ar* ra7n in pr%p%rti%n t% th* a'tal siB* an sha p*,

 b*tt*r 'larit %$ th* pr%'ts is ma*. 3*n'*, ra7ing pra'ti'* $ ins  its ,sag*

in th* st %$ all th* *ngin**ring s, b <*'ts.

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UNI T * I

 SHEET 1: PRACTICE S  H  EE T 

 SHEET 2: LINES  , LETTERING &  D I  M  E  N  S  I O N  I  N G 

9in*s#E N.D. 8hatt-  Pag* N%: 2F# ;ig 2.-

9*tt*ring#E N.D. 8hatt-  Pag* N%: 2G# ;ig 2.?

 N.D. 8hatt# Pag* N%: 2H# ;ig 2.5

 N.D. 8hatt# Pag* N%: ?# ;ig 2.H

Dim*nsi%ning-E N.D. 8hatt# Pag* N%: ?-# ;ig 2.!!, 2.!-, 2.!2

 N.D. 8hatt# Pag* N%: ?2# ;ig 2.!?, 2.!5 N.D. 8hatt# Pag* N%: ??# ;ig 2.!1, 2.!G, 2.!H, 2.-

 N.D. 8hatt# Pag* N%: ?5# ;ig 2.-F

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 SHEET 3: GEOMETRICAL CO N  S T  RU C T  I O N  S 

!. 8is*'t an Gmm l%ng lin*.

-. Dra7 a p*rp*ni'lar lin* t% a !mm l%ng straight lin* A8, at p%int P

a. 9ing %n th* lin* at a istan'* %$ ?mm $ r %m th* *n A.

 b. 9ing Gmm $ r %m th* *n A an Fmm $ r %m th* *n

8.

2. Dra7 a lin* parall*l t% th* gi(*n straight lin* A8 thr%gh A p%int that is 5mm

$ r %m A.

?. Di(i* a !mm l%ng straight lin* int% s*(*n *Aal  par ts.

5. Di(i* an Gmm l%ng straight lin* int% parts that ar* pr%p%rti%nal as -:2:?.

F. Dra7 an angl* %$ 150  an bis*'t it sing g*%m*tri'al '%nstr ,'ti%n.

1. Dra7 a r*glar p*ntag%n an r*glar h*ptag%n ha(ing ?mm l%ng si*s,

,sing g*n*ral m*th%.

G. Dra7 ;ig N%: 5.?, Pag* N%: G2 $ r %m  N.D.8hatt.

H. Ins'rib* a r*glar h*0ag%n in a 'ir'l* ha(ing Fmm iam*t*r .

!. 4ir'ms'rib* a p*ntag%n %n a 'ir'l* ha(ing a Fmmiam*t*r .

 SHEET 4:  E  LL I  P  S  E - GENERAL  M  E T  H OD

!. Dra7 th* *llips* 7h*n th* istan'* %$ its $ %',s  $ r %m  its ir*'tri0 is *Aal t%

Fmm an *''*ntri'it is 2+ 5.  Als% ra7 a tang*nt an a n%rmal t% th*

*lli ps* at a p%int istant !00mm a7a $ r %m th* ir *'tr i0.

-. Dra7 an *llips* 7h*n th* istan'* %$ its (*rt*0 $ r %m  its ir*'tri0 is -?mm an

istan'* %$ its $ %',s $ r %m ir*'tri0 is ?-mm.

2. A $i0*.  p%int is Hmm $ r %m a $i0*. straight lin*.  Dra7 th* l%'s %$ a p%int

P m%(ing in s'h a 7a that its istan'* $ r %m  th* $i0*. straight lin* is t7i'*

its istan'* $ r %m  th* $i0*.  p%int. Nam* th* 'r(*.  Dra7 a tang*nt an a

n%rmal at a p%int ?mm a7a $ r %m th* $i0*.  p%int.

 SHEET 5: ELLIPSE -  SPECIAL  M  E T  HOD S 

!. T7% $i0*.  p%ints A @ 8 ar* Gmm apart. Tra'* th* '%mpl*t* path %$ a p%int P

m%(ing in s'h a 7a that th* sm %$ its istan'*s $ r %m  A @ 8 is al7as

th* sam* an *Aal t% !!mm.  nam* th* 'r(* an th* '%nstr'ti%n

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m*th% *m pl%:*.

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H

-. 4%nstr't an *llips* ha(ing ma<%r an min%r a0is !?mm @ Gmm r *s p*'ti*l:.

2. Ins'rib* an *llips* in a r*'tangl* %$ !5mm 0 !!mm.  Dra7 a 'r(* par all*l

an -5mm a7a $ r %m it.

?. An *llipti'al $ ish  p%n %$ larg*st siB* is t%  b* '%nstr't* insi* a r *'tang,lar 

 pl%t %$ !5m0 1m. Dra7 th* b%nar %$ th* $ ish  p%n.5. Th* '%n<gat* a0*s %$ an *llips* ar* !-mm an Gmm l%ng an th*

int*rs*'t at an angl* %$ F0.

F. T7%  p%int A @ 8 ar* !-mm apart. Th* thir p%int 4 is Hmm $ r %m  A an

Fmm $ r %m  8. Dra7 an *llips* passing thr%gh th* p%int A,  8 @

4.

1. Th* ir*'tri'*s %$ an *llips* ar* !50mm apart an th* ma<%r a0is is !!mm

l%ng.  Dra7 th* *llips* an *t*rmin* th* *''*ntri'it,  l*ngth %$ th* ma<%r 

a0is an istan'* b*t7**n th* $ %'i.

G. Th* ma<%r a0is %$ an *llips* is !!mm l%ng an th* $%'i ar* at a istan'* %$ 

!5mm $ r %m its *ns. Dra7 th* *llips*,  %n*-hal$ %$ it  b '%n'*ntri' 'ir 'l*s

m*th% an th* %th*r hal$   b r*'tangl* m*th%. D*t*rmin* th* *''*ntri'it

%$ th* *lli ps*.

UNI T * I I

 SHEET :  P  A R A!OL A ,   H"PER!OLA # GENERAL  METHOD &  R E C T  A N G U  L A R

 H "  P  E 

 R !OL A

!. 4%nstr't a parab%la 7h%s* $ %',s  is at a istan'* %$ ?0mm $ r %m  th*ir *'tr i0.

Dra7 a tang*nt an a n%rmal t% th* parab%la at a p%int istant 5mm a7a:

$ r %m  th* prin'ipal a0is. D*t*rmin* th* %bl* %rinat* thr%gh a p%int

istant

Hmm $ r %m th* ir *'tr i0.

-. Dra7 th* l%'s %$ a p%int 7hi'h m%(*s in s'h a mann*r that its istan'*

$ r %m a$$i0*  p%int is *Aal t% its istan'* $ r %m a $i0*. straight lin*.

4%nsi*r th* istan'* b*t7**n th* $i0*.  p%int an $i0*. lin* as Fmm. Nam*

th* ',r *.

2. Th* $ %',s %$ a hp*rb%la is Fmm $ r %m its ir*'tri0.  Dra7 th* 'r(*

7h*n *''*ntri'it is 5+ 2. Dra7 a tang*nt an a n%rmal t% th* 'r(* at a p%int

istant

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G. Dra7 t7% bran'h*s %$ a hp*rb%la 7h*n th* istan'* b*t7**n its $%'i is

Hmm an th* (*rti'*s ar* !5mm $ r %m th* $%'i. 9%'at* th* asmpt%t*s an

m*as,r * th* angl* b*t7**n th*m.

UNI T * II I

 SHEET %:  ENGINEERING CURES - C " CLO I  D S 

!. Dra7 a ''l%i $%r %n* '%mpl*t* r*(%lti%n %$ a 'ir'l* ha(ing a Fmm, iam*t*r .

Dra7 a tang*nt an a n%rmal t% th* 'r(* at a p%int that is ?5mm ab%(* th*

 bas* lin*.

-. A 'ir'lar 7h**l %$ Fmm iam*t*r r%lls 7ith%t slipping al%ng a straight lin*.

Dra7 th* 'r(* tra'*  b a p%int P, ling %n th* ring $%r !.-5 r*(%lti%ns %$ th*

7h**l. Nam* th* 'r(* tra'*. Als%

,  ra7 a tang*nt an a n%rmal at a p%int

P, 7h*n th* 7h**l has tra(*ll* !mm $ r %m its starting p%siti%n.

2. A 'ir'l* ha(ing 5mm iam*t*r r%lls %n a h%riB%ntal lin* $%r hal$   r*(%lti%n an

th*n %n a in'lin* lin* F 7ith th* h%riB%ntal $%r an%th*r hal$ . Dra7 th* ',r *

tra'* %t  b a p%int P, ling %n th* 'ir ',m$ *r *n'*  %$ th* 'ir'l*,  tal/ing th*

t% p m%st p%int %$ th* r%lling 'ir'l* as th* initial p%siti%n %$ th* p%int P.

?. A84 is an *Ailat*ral triangl* %$ si* 1mm. Tra'* th* l%'i %$ (*rti'*s %$ A,8,4

7h*n th* 'ir'l* 'ir'ms'ribing A84, r%lls 7ith%t slipping, al%ng a $ i0*

straight lin*, $%r %n* '%mpl*t*r r *%l,ti%n.

5. A 'ir'l* ha(ing a ?mm iam*t*r r%lls %n a 'ir'l* 7ith a 15mm iam*t*r .

Tr a'* th* path %$ a p%int ling %n th* 'ir ',m$ *r *n'*  %$ th* r%lling 'ir'l*,

7h*n th* r%lling 'ir'l* m%(*s %tsi* th* %th*r 'ir'l*.  Nam* th* 'r(*.

Als% ra7 a tang*nt an a n%rmal t% th* 'r(* at !00mm $ r %m  th* '*ntr*

%$ th*  bigg*r 'ir 'l*.

F. Dra7 an *pi''l%i, ta/ing th* iam*t*rs %$  b%th th* r%lling an ir *'ting

'ir'l*s as 5mm.

1. Dra7 a hp%''l%i g*n*rat*  b a r%lling 'ir'l* ha(ing a 5mm iam*t*r an.

a ir*'ting 'ir'l* 7ith a -5mm iam*t*r .  Als%, ra7 a tang*nt an a n%rmal

t% th* 'r(* at ?5mm $ r %m th* ir*'ting 'ir'l* (Gmm $ r %m th* '*ntr* %$ 

th* ir*'ting 'ir 'l*).

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!2

G. A 'ir's man ri*s %n a m%t%r ''l* insi* a gl%b* ha(ing a Fm iam*t*r .

Th* m%t%r ''l* 7h**l is !m in iam*t*r .  Dra7 th* l%'s %$ a p%int ling %n

th* 'ir ',m$ *r *n'* %$ th* 7h**l %$ th* m%t%r ''l* $%r %n* '%mpl*t* t,rn.

H. 4%nstr't a hp%''l%i, ta/ing th* iam*t*r %$ th* g*n*rating 'ir'l* an

r ai,s %$ ir*'ting 'ir'l* as F0

mm.

 SHEET ':  ENGINEERING CURES  –  I  N & OLU T  E  S 

!. Dra7 an in(%lt* %$ a h*0ag%n ha(ing a -5mm si*.

-. An *lasti' string ha(ing a -mm l*ngth has %n* *n atta'h* t% th*

'ir ',m$ *r *n'*  %$ a 'ir'l* %$ 5mm iam*t*r .  Dra7 th* 'r(* tra'*  b th*

%th*r *n %$ th* string 7h*n it is tightl 7%n r%n th* 'ir 'l*.

2. A is' is in th* $ %r m  %$ a r*'tangl* %$ 2mm 0 ?mm si*,  srm%nt*  b a

s*mi'ir'l* %n th* small*r si* an a hal$   h*0ag%n %n th* %pp%sit* si*.

Dr a7 th* path %$ th* *n %$ a string 7hi'h is n7%n $ r %m  th* 'ir ',m$ *r *n'*

%$ th* is'.

?. A lin* A4 %$ !5mm l%ng is tang*ntial t% a 'ir'l* %$ iam*t*r Fmm.  Tra'*

th* paths %$ A @ 4, 7h*n th* lin* A4 r%lls %n th* 'ir'l* 7ith%t sli pping.

UNI T * IV

 SHEET 1(:  SCALES  – PL A I  N  ,

  D I  AGO N  A L

!. 4%nstr't a s'al* %$ !:? t% r*a m*t*rs an *'im*t*rs an l%ng *n%gh t%

m*asr* p t% Fm. Mar/ %n it a istan'* %$ ?.1m.

-. A ?'m l%ng lin* %n a map r*pr*s*nts a !.5m l*ngth.  D*t*rmin* th* R .;

an ra7 a s'al* l%ng *n%gh t% m*asr* p t% Fm. Sh%7 a istan'* %$ ?.Fm

%n it.

2. An ar*a %$ ?HsA 'm %n a map r*pr*s*nts an ar*a %$ !F sA m %n a $i*l. Dra7 a

s'al* l%ng *n%gh t% m*asr* Gm. Mar/ a istan'* %$ Fm Hm %n th* s'al*.

?. A 'b* %$ 5'm si*s r*pr*s*nts a tan/ %$ ! m2 (%lm*.  ;in th* R .;

an '%nstr't a s'al* t% m*asr* p t% 25m an mar/ a istan'* %$ -1m %n it.

5. 4%nstr't a iag%nal s'al* %$ !:-5 t% r*a m*t*rs, *'im*t*rs an

'*ntim*t*rs an l%ng *n%gh t% m*asr* ?m. Mar/ %n it a istan'* %$ -.?1m.

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F. 4%nstr't a iag%nal s'al* sh%7ing >il%m*t*r ,  h*'t%m*t*r an *'am*t*r in

7hi'h a -'m l%ng lin* r*pr*s*nts !>m,  an th* s'al* is l%ng *n%gh t%

m*as,r * p t% 1 >m. $ in R .; an mar/ a istan'* ?/m 5hm an 2m %n it.

1. Th* istan'* b*t7**n t7% stati%ns  b r%a is - /m an it is r*pr*s*nt* %n a

'*rtain map  b a 5'm l%ng lin*.  ;in th* R 

.; an '%nstr't a iag%nal s'al*

sh%7ing a singl* /m an l%ng *n%gh t% m*asr* p t% F0/m. Sh%7 a

istan'* %$ ?F1 /m %n th* s'al*.

G. A r*'tanglar $i*l. %$ 0.5? h*'tar* is r*pr*s*nt* %n a map  b a r*'tangl* %$ 

2'm 0 -'m.  4al'lat* th* R .;. Dra7 a iag%nal s'al* t% r*a p t% a singl*

m*t*r an l%ng *n%gh t% m*asr* p t% F00m.

H. Th* istan'* b*t7**n t7% t%7ns is !-0/m. A  pass*ng*r train '%(*rs th*

istan'* in ? h%rs.  4%nstr't a s'al* t% m*as,r *-%$$   th* istan'* '%(*r*

 b: th* train in a singl* mint* an p t% ! h%r .  Th* s'al* $ a't%r   is !+   -,

00,000. Sh%7 %n it, th* istan'* '%(*r*  b th* train in 2Fmin.

 SHEET 11:  SCALES  – CO M  P  A R I T  I &  E  , &  E  R N  I  E  R ,  SCALE O) C  H O R D S 

!. 4%nstr't '%mparati(* s'al* %$ m*t*rs an ars,  ha(ing a R .; %$ !+ 5 t%

sh%7 p t% Gm an H ars. Ta/* !m J !.H2F :ar s.

-. 4%nstr't a (*rni*r s'al* %$ !:-5 t% r*a m*t*rs an l%ng *n%gh t% m*as,r *

?m. Mar/ %n it a istan'* %$ -1Fm.

2. Th* a'tal l*ngth %$ Fm is r*pr*s*nt*  b a lin* %$ 2'm %n a r a7ing.

4%nstr't a r*tr%gra* (*rni*r s'al* t% r*a p t% ?m. Dra7 th* s'al* 7ith

a l*ast '%nt %$ 5'm. Mar/ th* l*ngths -05.5m @ !FF.5m %n s'al*.

?. 4%nstr't a s'al* %$ 'h%rs sh%7ing 5 i(isi%ns,  an sing it s*t %$$ angl* %$ 

250, 50, F50  @ -?50.

5. Dra7 a triangl* 7ith si*s %$ l*ngth ?mm,  5mm an Fmm r*sp*'ti(*l

an m*asr* its angl* 7ith th* h*lp %$ a s'al* %$ 'h%r s.

UNI T * V

 SHEET 12:  PRO*ECTION O) PO I  N T  S 

POINTS#E N.D.8hatt#Pag*  N%: !H2# Pr%bl*m N%: ! t% !

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 SHEET 13:  PRO*ECTION O)  STRAIGHT LINES - I 

POINTS#E N.D.8hatt#Pag*  N%: -# Pr%bl*m N%: ! t% G

UNI T * VI

 SHEET 14:  PRO*ECTION O)  STRAIGHT LINES –II 

!. A straight lin* A8 %$ 5mm l*ngth is in'lin* at ?5 t% th* 3.P an 2 t%

th* V.P. Dra7 th* pr%<*'ti%ns %$ th* lin* A8 i$ its *n p%int A is !5mm ab%(*

th* 3.P an !mm in $ r %nt %$ V.P.

-. A straight lin* A8 has its *n p%int A !mm ab%(* th* 3.P an -mm in $ r %nt

%$ V.P. Th* $ r %nt  i*7 %$ th* lin* is 5mm l%ng an is in'lin* at ?50  t% KL lin*.

Dra7 th* pr%<*'ti%ns %$ th* straight lin* A8 i$ its t%p i*7 is in'lin* at 2 t%

th* KL lin*. ;in th* tr* l*ngth an tr* in'linati%n %$ A8 7ith 3.P an V.P.

2. A straight lin* A8 has its *n p%int A !mm ab%(* 3.P an *n 8 5mm in

$ r %nt  %$ V.P. Dra7 th* pr%<*'ti%ns %$ lin* A8 i$ it is in'lin* at 20  t% th* 3.P

an

?5 t% th* V.P. 9*ngth %$ th* lin* is 5mm.

?. A straight lin* A8 has its *n p%int A !5mm in $ r %nt %$ th* V.P an *n p%int 8

is 5mm ab%(* th* 3.P. Th* lin* is in'lin* at ?50  t% th* 3.P 7hil* its $ r %nt

i*7 is in'lin* at F t% th* KL lin*. Dra7 th* pr%<*'ti%ns %$ th* straight lin*

A8 i$ its t%p i*7 is 25mm l%ng.  ;in th* tr* l*ngth an th* angl* %$ 

in'linati%n %$ th* lin* 7ith th* V.P.

5. A straight lin* P has its *n p%int P !mm ab%(* 3.P at !5mm in $ r %nt %$ V.P.

Th* lin* is 5mm l%ng an its $ r %nt  i*7 an t%p i*7 ar* in'lin* at F0

an

?5 r*sp*'ti(*l.  Dra7 th* pr%<*'ti%ns %$ th* lin* an $ in  its in'linati%ns

7ith

3.P an

V.P.

F. A straight lin* A8 has its *n p%int A !5mm in $ r %nt %$ V.P 7hil* th* %th*r 8 is

5mm in $ r %nt %$ V.P. Th* plan i*7 %$ th* lin* is 5mm l%ng an th* 3.T %$ th*

lin* is !mm in $ r %nt  %$ th* V.P. Dra7 th* pr%<*'ti%ns %$ th* lin* i$ it is in'lin*

at 2 t% th* 3.P. Als% $ in its V.T.

1. A straight lin* A8 has its *n A !5mm ab%(* th* 3.P an !mm in $ r %nt  %$ 

th* V.P. Th* %th*r *n 8 is -5mm in $ r %nt  %$ th* V.P. Th* V.T is !0mm ab%(*

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th* 3.P. Dra7 th* pr%<*'ti%ns %$ th* lin* i$ th* istan'* b*t7**n *n

 pr%<*'t%rs is

-5mm an $ in  its tr* l*ngth an tr* angl*s %$ in'linati%n 7ith th* 3.P

an th* V.P. 9%'at* th* 3.T.

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G. A straight lin* A8 %$ 50mm l%ng has its *n A !5mm ab%(* th* 3.P. Th* lin*

is in'lin* at ?5 t% th* 3.P an 2 t% th* V.P. Dra7 th* pr%<*'ti%ns %$ A8 i$ 

its *n 8, 7hi'h is n*ar*r t% th* V.P, is !mm in $ r %nt %$ th* V.P.

H. Th* istan'* b*t7**n th* *n pr%<*'t%rs %$ a straight lin* A8 is F0mm.  Th* *n

A is 2mm ab%(* 3.P an !5mm in $ r %nt  %$ th* V.P, 7hil* th* %th*r *n 8 is!mm ab%(* th* 3.P an 25mm in $ r %nt  %$ V.P. A  p%int 4 ?mm $ r %m  A an

F5mm $ r %m 8 is %n th* V.P an ab%(* th* 3.P. Dra7 th* pr%<*'ti%ns %$ th* lin*s

A8, 84 an 4A, an $ in th* istan'* %$ th* p%int 4 $ r %m th* 3.P.

!. A straight lin* P has an *n. P at -mm ab%(* th* 3.P an 2mm in $ r %nt

%$ th* V.P, th* *n is Gmm ab%(* th* 3.P an 1mm in $ r %nt  %$ th* V.P. I$ 

th* *n pr%<*'t%rs ar* F0mm apart, ra7 th* pr%<*'ti%ns %$ th* lin*.

D*t*rmin* it tr* l*ngth an tr* in'linati%ns 7ith th* r *$ *r *n'*  plan*s  b

sing tr a p*B%ial m*th%.

 SHEET 15 :  PRO*ECTION O)  STRAIGHT LINES –II 

!. An G0mm lin* P has its *n P !mm ab%(* th* 3.P an -5mm in $ r %nt  %$ 

th* V.P. Th* lin* is in'lin* at 20 t% th* 3.P an F t% th* V.P. Dra7

its pr % <*'ti%ns.

-. A !mm l%ng lin* P is in'lin* at 2 t% th* 3.P an ?5 t% th* V.P. Its

mip%int is 25mm ab%(* th* 3.P an 50mm in $ r %nt %$ th* V.P. Dra7 its

 pr % <*'ti%ns.

2. A 15mm l%ng straight lin* P ling in th* $ irst  angl* has an *n P in th*

3.P an th* *n in th* V.P. Th* lin* is in'lin* at ?5 t% th* 3.P an 2 t%

th* V.P. Dra7 its  pr % <*'ti%ns.

?. A 15mm l%ng lin* P has th* *n P at !5mm ab%(* th* 3.P an -mm in

$ r %nt %$ th* V.P. Th* $ r %nt  an t%p (i*7s ar* ?5mm an Fmm l%ng,

r *s p*'ti*l:. Dra7 its pr%<*'ti%ns an *t*rmin* th* tr* in'linati%ns 7ith

th* r *$ *r *n'* plan*s.

5. T7% straight lin*s P an R ma/* an angl* %$ !-  b*t7**n th*m in th*ir 

$ r %nt  i*7 an t%p (i*7s.  P is Fmm l%ng an is parall*l t% an !5mm

$ r %m  b%th th* 3.P an V.P. D*t*rmin* th* tr* angl* b*t7**n P an R, i$ 

 p%int R is 5mm ab%(* 3.P.

F. A r%%m is Fm 0 5m 0 ?m high.  An *l*'tri' blb is ab%* th* '*ntr* %$ th* l%ng*r 

7all an !m  b*l%7 th* '*iling. Th* blb is 50'm a7a $ r %m  th* l%ng*r 7all.

Th*

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th* s,r $ a'*  is p*rp*ni'lar t% b%th 3P an VP. Dra7 its pr%<*'ti%n 7h*n th*

 bas* is parall*l t% th* VP.

?. A p*ntag%nal plan* 7ith a 2mm si* has an *g* %n th* 3P. Th* s,r $ a'* %$ th*

 plan* is in'lin* at ?5 t% th* 3P an p*rp*ni'lar t% th* VP. Dra7 its

 pr % <*'ti%ns.

5. An *Ailat*ral triangl* %$ 5mm si* has its VT parall*l t% an -5mm ab%(* 0:.

It has n% 3T. ra7 its pr%<*'ti%ns 7h*n %$ its si* is in'lin* at ?50  t% VP.

F. A p*ntag%nal plan* 7ith a 2mm si*, r*sts %n th* 3P %n an *g* s'h that

th* s,r $ a'*  is in'lin* at ?50  t% th* 3P an th* *g* %n 7hi'h it r*sts is

in'lin* ta

2 t% th* VP. Dra7 its  pr % <*'ti%ns.

1. A sAar* lamina A84D 7ith ?mm si*s has its '%rn*r A in th* 3P. Its

iag%nal A4 is in'lin* at ?50 

t% th* 3P 7hil* th* iag%nal 8D is parall*l t%th* 3P an in'lin* at 2 t% th* VP. Dra7 its  pr % <*'ti%ns.

G. A s*mi'ir'lar plat* 7ith an Gmm iam*t*r has its straight *g* in th* VP

an in'lin* at ?5 t% th* 3P. Dra7 th* pr%<*'ti%ns %$ th* plat* 7h*n its

s,r $ a'*  is in'lin* at 20  t% VP.

H. A r*'tanglar plat* %$ siB* 1mm 0 ?mm r*sts %n its sh%rt*r si* in th* VP

an th* s,r $ a'* is in'lin* at ?5 7ith th* VP. Th* l%ng*r si* %$ th* plan* is

in'lin* at 20  t% th* 3P. Dra7 its pr % <*'ti%ns.

!. A 'ir'lar plan* 7ith an Gmm iam*t*r has %n* %$ th* *ns %$ th* iam*t*r 

in th* 3P 7hil* th* %th*r *n is in th* VP. Th* plan* is in'lin* at 2 t% th*

3P an F t% VP. Dra7 its  pr % <*'ti%ns.

!!. A thin 'ir'lar plat* 7ith a Fmm iam*t*r app*ars in th* $ r %nt  i*7 as

an *llips* %$ ma<%r an min%r a0*s,  Fmm an ?mm in l*ngth r*sp*'ti(*l.

Dr a7 its pr%<*'ti%ns 7h*n %n* %$ th* iam*t*rs is parall*l t% b%th th*

r *$ *r *n'* plan*s.

!-.  A thin sAar* plat* 7ith 5mm si*s stans %n %n* %$ its '%rn*rs in th* 3P

an th* %pp%sit* '%rn*r is rais* s% that %n* %$ th* iag%nals is t7i'* that %$ 

th* %th*r .  I$ %n* %$ th* iag%nal is parall*l t% b%th th* plan*s,  ra7 its

 pr%<*'ti%ns an *t*rmin* th* in'linati%n %$ th* plan* 7ith th* 3P.

!2. Th* t%p i*7 %$ a plat*,  th* s,r $ a'*  %$ 7hi'h is p*rp*ni'lar t% th* VP

an in'lin* at F0  t% th* 3P is a 'ir'l* %$ Fmm iam*t*r .  Dra7 its thr**

i*7s.

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!?. A plat* ha(ing shap* %$ an is%s'*l*s triangl* has bas* 5%mm l%ng an altit,*

1mm.  It is s% pla'* that in th* $ r %nt  i*7 it is s**n as an *Ailat*ral

triangl* %$ 5mm si*s an %n* si* in'lin* at ?50  t% 0. Dra7 its t%p i*7.

!5.  Dra7 a rh%mbs %$ iag%nals !00mm an Fmm l%ng,  th* l%ng*r 

iag%nal h%riB%ntal.  Th* $ ig,r *  is th* t%p i*7 %$ a sA,ar* %$ !mm l%ngiag%nals,  7ith a '%rn*r %n th* gr%n. Dra7 its $ r %nt  i*7 an *t*rmin* th*

angl* 7hi'h its s,r $ a'* ma/*s 7ith th* gr %,n.

!F. Dra7 th* pr%<*'ti%ns %$ a 'ir'lar plan* 7ith a 5mm iam*t*r ,  r*sting %n

a p%int A %$ th* 'ir ',m$ *r *n'*  in th* 3P s,'h that its s,r $ a'*  is in'lin* at ?50

t% th* 3P an a)  th* t%p i*7 %$ th* iam*t*r thr%gh p%int A is in'lin* at 20

t% th* VP b) th* iam*t*r thr%gh p%int A is in'lin* at 20  t% th* VP.

!1. A  p*ntag%nal plan* 7ith a 2mm si*,  r*sts %n 3P %n an *g* s'h that

th* s,r $ a'*  is in'lin* at ?50

  t% th* 3P an an *g* %n 7hi'h its r*sts is

in'lin* at

2 t% th* VP. Dra7 its  pr % <*'ti%ns.

!G. A h*0ag%nal plat* 7ith a 2mm si* r*sts %n an *g* in th* VP. Th* s,r $ a'*

is in'lin* at ?50  t% th* VP an th* *g* r*sting in th* VP is in'lin* at 20  t%

th* 3P. Dra7 its pr % <*'ti%ns.

UNI T * VII I

 SHEET 1$ :  PRO*ECTION O) S OL I  D S 

SO9IDS#E N.D.8hatt-Pag*  N%: -1H# Pr%bl*m N%: ! t% G

 SHEET 1%:  PRO*ECTION O) S OL I  D S 

!. A p*ntag%nal prism,  ha(ing bas* 7ith a 2mm si* an 15mm l%ng a0is, has

a '%rn*r %$ its bas* %n th* gr%n an a0is is in'lin* at F0  t% th* 3P. Dra7

its pr%<*'ti%ns i$ th* plan* '%ntaining that '%rn*r an th* a0is is parall*l t% th*VP.

-. A h*0ag%nal prism,  ha(ing a bas* 7ith a 20mm *g* an F5mm l%ng a0is,

has an *g* %$ its bas* in th* VP s'h that th* a0is is in'lin* at 20 t% VP

an parall*ls t% 3P. Dra7 its pr % <*'ti%ns.

2. A p*ntag%nal prami, ha(ing a bas* 7ith a 2mm si* an a 55mm l%ng a0is

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has a triang,lar $ a'* in th* VP an th* a0is parall*l t% th* 3P. Dra7 its

 pr % <*'ti%ns.

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?. A 'lin*r 7ith a 5mm bas* iam*t*r an F5mm l%ng a0is,  has a g*n*rat%r 

in th* VP an is in'lin* at ?50  t% th* 3P. Dra7 its pr % <*'ti%ns.

5. A h*0ag%nal prami ha(ing a bas* %$ 2mm si* an a Fmm l%ng a0is, has

an *g* %$ its bas* %n th* gr%n an th* a0is is in'lin* at 20  t% th* 3P. Th*

*g* %$ th* bas* %n 7hi'h its r*sts is in'lin* at ?5

t% th* VP. Dra7 its pr % <*'ti%ns.

F. A p*ntag%nal prism ha(ing a bas* 7ith a 25mm si* an 1mm l%ng a0is has

its a0is in'lin* at 2 t% th* VP. An *g* %$ its bas* is in th* VP an in'lin* at

?50  t% th* 3P. Dra7 its pr % <*'ti%ns.

1. A sAar* prism ha(ing a bas* %$ 25mm si* an F0mm l%ng a0is is r*sting

%n an *g* %$ its bas* %n th* 3P an a0is in'lin* at ?5 t% th* 3P. Dra7

its pr%<*'ti%ns i$ th* r*sting *g* ma/*s an angl* at 20  t% th* VP.

G. A p*ntag%nal prami ha(ing a bas* 7ith a 2mm si* an a Fmm l%ng a0is

r*sts %n an *g* %$ its bas* %n th* gr%n s% that th* high*st p%int %$ th*  bas*

is -mm ab%(* th* gr%n. Dra7 its pr%<*'ti%ns,  i$ th* (*rti'al plan*

'%ntaining th* a0is is in'lin* at 20  t% th* VP.

H. A h*0ag%nal prami, ha(ing a bas* 7ith a 25mm si* an a 10mm l%ng

a0is, has %n* %$ its slant *g*s %n th* 3P an is in'lin* at 2 t% th* VP.

Dra7 its pr%<*'ti%ns 7h*n th* bas* is isi bl*.

 SHEET 1':  PRO*ECTION O) S OL I  D S 

!. A '%n*, ha(ing a bas* 7ith a 5mm iam*t*r an a F5mm l%ng a0is,  has %n*

%$ its g*n*rat%rs in th* VP an is in'lin* at 2 t% th* 3P. Dra7 its

 pr % <*'ti%ns 7h*n its ap*0 b*ing !0mm ab%(* th* 3P.

-. A right-'ir'lar '%n*,  7ith a 5mm bas* iam*t*r an a Fmm l%ng a0is,

is $r**l: ssp*n* $ r %m  th* mip%int %$ a g*n*rat%r .  Dra7 its pr%<*'ti%ns,

7h*n th* t%p i*7 %$ that g*n*rat%r is in'lin* at ?50  t% th* r *$ *r *n'*  lin* an

ap*0 is n*ar*r t% th* % bs*r *r .

2. A p*ntag%nal prism ha(ing a bas* 7ith a 2mm si* an a 15mm l%ng a0is isr*sting %n its bas* in th* VP 7ith a si* %$ a bas* p*rp*ni'lar t% th* 3P.

Dra7 its pr%<*'ti%ns.  Als% ra7 its pr%<*'ti%ns %n an a0iliar (*rti'al plan*

 passing thr%gh a '%rn*r an in'lin* at 20 t% th* VP.

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ENGINEERING DRAWING *I %SC7EDULE OF E5ER CISES)

UNIT

NODESCR I0TION E5ERCISE 0R OBLE;S REFRENCES

I

Pra'ti'* sh**t0# N& 19# ;ig !-2G('), !-2G($ ) @ 0# N& 1<-!-?(a), !-?( b)

,!-?('). N.D 8hatt

Tp*s %$ 9in*s

9*tt*r ing

Dim*nsi%n

0# N& =4-  ;ig N% 2#!

0# N& =9> ;ig 2#? @ 0# N& =<> ;ig 2#F, 2-G( Nam* @ R %ll

 N%)0# N& 42# ;ig 2#!! t% 2-!5,2-!H,2--,2---,2--2

 N.D 8hatt

*%m*tri'al 4%nstr ,'ti%ns

0# N& ?<# ;ig 5#!,5#-, 0# N& @2> ;ig 5-!

0# N& @=> ;ig 5#!! 0# N& @4> ;ig 5#!2 0# N& @5> ;ig 5-

!?, 5-!F

0# N& 92> ;ig 5#2F,5#21 0# N& 9=> ;ig 5#2G,5#??# N&

9?> ;ig 5-?F

 N.D 8hatt

"llips*  6 all m*th%s0# N& 144> Pr%bl*m N%Ds -!,-,1

7.W -  0# N& 144> Pr%bl*m N%Ds 6 ?,5,G,H

 N.D 8hatt

IIParab%la, 3: p*r  b%la

,R*'tanglar h: p*r  b%la

0# N& 145> Pr%bl*m N%Ds -2,!!,!2,!?

7.W -  0# N& 58?> Pr%bl*m N%Ds 6 5,F,!,-

0# N& 5845> Pr%bl*m N%Ds 6 5.2-

 N.D 8hatt

> .9. Nara:ana

> .9. Nara:ana

III

4'l%i, " pi-4:'l%i0# N& 145> Pr%bl*m N%Ds -  !5,!1,--,2H

78 W -  0# N& 5>22> Pr%bl*m N%Ds - --, -5

 ND 8hatt>9 Nara:ana

3p%# 4'l%i, In%l,t*s0# N& 145> Pr%bl*m N%Ds -!G,-!,-2,-?

7.W -  0# N& 5>29> Pr%bl*m N%Ds- -G, -H

 ND 8hatt>9 Nara:ana

IV S'al*s ( Plain, Diag%nal) 0# N& 54> Pr%bl*m N%Ds - ?-2,?-5,?-F,?-H,?-!!  ND 8hatt

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4VR '%ll*g* %$ "ngin**r ing(A,t%n%m%,s)

8. T*'h I L*ar  I S*m "n "0aminati%ns;&+e' !es,&" aer  * ENGINEERING DRAWING - I

--------------------------------------------------------------------------------------------

------

A"s-er a" FIVE !es,&"s 3r&m he 3 &''&-,"#.

!. a)  4%nstr't a r*glar h*0ag%n %$ -5 mm si* sing Ins'rib* 'ir'l* m*th%.

 b) T7% $i0*.  p%ints A an 8 ar* ! mm apart. Tra'* th* '%mpl*t* path %$ a p%int

P m%(ing (in th* sam* plan* as that %$ A an 8) in s'h a 7a that th* sm %$ th*

istan'*s $ r %m A an 8 is al7as *Aal t% !-5. Nam* th* ',r *.

-. a)  Th* asmpt%t*s %$ a hp*rb%la ar* in'lin* at 1 t% *a'h %th*r . 4%nstr't

th* 'r(* 7h*n a p%int P %n it is at istan'*s %$ - an 2 $ r %m th* t7% as:m pt%t*s.

 b) 4%nstr't a parab%la, 7ith th* l*ngth %$ bas* as F an a0is 2 l%ng.  Als%, 

r a7 tang*nt t% th* 'r(* at a p%int -5 $ r %m th* bas*.

2. A 'ir'l* %$ 5 mm iam*t*r r%lls %n a h%riB%ntal lin* $%r hal$  a r*(%lti%n 'l%'/ #

7is* an th*n %n a lin* in'lin* at F t% th* h%riB%ntal $%r an%th*r hal$ , 'l%'/ -7is*.

Dra7 th* 'r(* tra'*  b a p%int P %n th* 'ir ',m$ *r *n'* %$ th* 'ir'l*, ta/ing th*

t% p# m%st p%int %n th* r%lling 'ir'l* as th* initial p%siti%n %$ th* g*n*rating p%int.

?. a)  4%nstr't a s'al* %$ - 'm J ! m, t% r*a pt% ! m an sh%7 %n it a l*ngth %$ 

0.FF m.

 b) Dra7 a (*rni*r s'al* %$ R. ; J 5 t% r*a !+ 5 'm an !+ -5 'm an t% m*as,r *

pt% 5 'm. Mar/ %n th* s'al* istan'*s %$ -.!- 'm.

5. a)  A p%int 2 ab%(* xy lin* is th* plan i*7 %$ t7% p%ints P an . Th* *l*(ati%n

%$ P is ?5 ab%(* th* 3.P 7hil* that %$ th* p%int is 25  b*l%7 th* 3.P. Dra7 th*

 pr%<*'ti%ns %$ th* p%ints an stat* th*ir p%siti%ns 7ith r *$ *r *n'* t% th* pr in'i pal

 plan*s.

 b) A lin* P H5 l%ng is parall*l t% an 5 ab%(* 3.P. Its t7% *ns ar* - an

5 in$ r %nt %$ V.P r*sp*'ti(*l.  Dra7 its pr%<*'ti%ns an $ in its in'linati%n 7ith

V.P.

F. A lin* A8, 15 mm l%ng is in th* s*'%n Aarant 7ith th* *n A in th* 3.P

an th* *n 8 in th* VP. Th* lin* is in'lin* at 2 t% 3P an. at ?5 t% VP. Dra7 th*

 pr%<*'ti%ns %$ A8 an *t*rmin* its tr a'*s.

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1. A thin 2 -  F s*t sAar* has its l%ng*st *g* in th* VP an in'lin* at 2 t%

3P. Its s,r $ a'* ma/*s an angl* %$ ?5 7ith th* VP. Dra7 its  pr % <*'ti%ns.

G. A sAar* prism 7ith a si* %$ its bas* ?0mm an a0is 1mm l%ng is ling %n %n*

%$ its bas* *g*s %n th* 3P in s'h a 7a that this bas* *g* ma/*s an angl* %$

?5 7ith th* VP an th* a0is is in'lin* at 2 t% 3P. Dra7 th* pr%<*'ti%ns %$ th*

s%li sing A,0iliar :  plan* m*th%.