engineering drawing course file
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8/11/2019 Engineering Drawing Course File
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COURSE FILE
FOR
ENGINEERING DR AWING-I
FOR B.Tech I Yr - I Sem
2014 -
15
CVR COLLEGE OF ENGINEER ING(AUTO NOMOUS)
Vas!"a#ar$ Mangalpalli (V), I brahim patan (M),
R. R. Dist. Pin : 5! 5!, "#mail : in$%&'r.a'.in
*b : htt p:++'r.a'.in
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!
E N G I N EER I N G D RAWI NG-I
%C&mm&" & a'' (ra"ches)
Instr ,'ti%n : - P*ri%s + **/ "n "0aminati%n : 15 Mar / sT,t%r ial : 2 P*ri%s + **/ D,rati%n : 2 3%,r s
4r *its
UNIT * I
: - S*ssi%nal Mar / s : -5
I"r&+!c,&" & e"#,"eer,"# +ra-,"#. Prin'ipl*s %$ "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%.