engineering graphics
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Engineering GraphicsTRANSCRIPT
7/17/2019 Engineering Graphics
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1SheetCourse: Engineering Graphics 1504 Memorial University of Nefoun!lan!
Engi 1504 – Graphics
Lecture 6: Descriptive Geometry
Properties of lines
Properties of planes
u!iliary planes "i#term hints
$lass assignment 6
http://www.tekniksipil.org/civil-engineering
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"SheetCourse: Engineering Graphics 1504 Memorial University of Nefoun!lan!
Points an# Lines
#he point is the $asic $uil!ing $loc% for an
o$&ect'
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(SheetCourse: Engineering Graphics 1504 Memorial University of Nefoun!lan!
Points an# Lines
Stan!ar! notation
) AF is the vie of point A on the frontal plane
) #he height* i!th* an! !epth are specifie! ith
reference to the reference +fol!ing lines,
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4SheetCourse: Engineering Graphics 1504 Memorial University of Nefoun!lan!
Points an# Lines
Note: ) The distance behind a plane (say the front plane) is seen in all
other adjacent views.
) If the distance to point A from the folding line is known in oneadjacent view, point A can be located in another adjacent view
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5SheetCourse: Engineering Graphics 1504 Memorial University of Nefoun!lan!
Lines
- line is ma!e up of to points ( vies of line -. are shon
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/SheetCourse: Engineering Graphics 1504 Memorial University of Nefoun!lan!
Lines ertical line ) shos as a
point in top vie* parallel
to front an! right si!e
planes
ori2ontal ) infinite
positions* $ut all points
must have e3ual elevation
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SheetCourse: Engineering Graphics 1504 Memorial University of Nefoun!lan!
Lines ncline! line ) parallel to
front or right plane'
-lays parallel to one
plane an! incline! to the
others
6$li3ue line ) incline! to
all principal planes
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7SheetCourse: Engineering Graphics 1504 Memorial University of Nefoun!lan!
u!iliary Planes
#he length of a line can only $e measure! if it
is seen in true length
8ecall: - line can $e seen true length if
pro&ecte! onto a plane parallel to it So to fin! the true length of a line e !ra an
au9iliary fol!ing line parallel to it'
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SheetCourse: Engineering Graphics 1504 Memorial University of Nefoun!lan!
u!iliary Planes
Consi!er the front an!top vie of o$li3ue line
ab
;e can !ra anau9iliary plane parallel to
either line aFbF or aHbH
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10SheetCourse: Engineering Graphics 1504 Memorial University of Nefoun!lan!
u!iliary Planes
-u9iliary planeparallel to line
aHbH
#he line isperpen!icular to
hori2ontal +top,
vie
"
"
1
1
#<
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11SheetCourse: Engineering Graphics 1504 Memorial University of Nefoun!lan!
Point %ie& of a line
8ecall: - line can $e seen as a point ifpro&ecte! onto a plane perpen!icular to it
So an au9iliary plane perpen!icular to a linethat shos true length ill sho as a point'
Note: to sho line as a point* nee! a viethat shos true length first'
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1"SheetCourse: Engineering Graphics 1504 Memorial University of Nefoun!lan!
Point %ie& of a line
8ecall: - line can $e seenas a point if pro&ecte! onto aplane perpen!icular to it
So an au9iliary planeperpen!icular to a line thatshos true length ill shoas a point'
Note: to sho line as apoint* nee! a vie thatshos true length first'
=(
=(
ao$o
- 6
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1(SheetCourse: Engineering Graphics 1504 Memorial University of Nefoun!lan!
'lope of a line
#he slope +or gra!e, of a line is the inclinationof the line ith the hori2ontal
Slope can $e measure! in a vie that shos
vertical height an! the line in true length So e !ra a fol!ing line in the hori2ontal
+top, vie'
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14SheetCourse: Engineering Graphics 1504 Memorial University of Nefoun!lan!
'lope of a line
So e nee! anau9iliary vie +fol!e!from the top vie,* thatshos the line as truelength
Slope is the angle$eteen the true lengthline an! a line parallelto the fol!ing line
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15SheetCourse: Engineering Graphics 1504 Memorial University of Nefoun!lan!
Direction of a line
#he !irection of a line +givenas a compass rea!ing, isseen only in the top vie'#hin% of hol!ing a compass'
- $earing is measure! fromeither north or south* ith
north usually at top of page -2imuth is measure! from
north an! specifie! as anangle from 0>(/0?
.earing
-2imuth
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1/SheetCourse: Engineering Graphics 1504 Memorial University of Nefoun!lan!
'ummary
@in! true length of a line:1' Alace an au9iliary vie parallel to the line an! pro&ect to points
on the line onto the au9iliary vie
@in! point vie of a line:1' Nee! a true length line first
"' <ocate an au9iliary vie perpen!icular to the true length line an!pro&ect en!points
@in! slope of a line1' Nee! a true length line an! an e!ge vie of the hori2ontal
"' @in! an au9iliary vie +fol!e! off the top vie, that ill sho truelength
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1SheetCourse: Engineering Graphics 1504 Memorial University of Nefoun!lan!
'ummary $ontinue# (
#hings to remem$er a$out lines: f a line is parallel to a fol!ing line* it ill appear true length in
the a!&acent vie .earing an! a2imuth are seen only in the plan +top, vie f to lines intersect* the intersection point ill correspon! in
all vies #he shortest !istance $eteen to lines is seen here one of
the lines appears as a point Aerpen!icular lines appear perpen!icular in any vie in hich
one or $oth of the lines appear in true length
- line ill appear true length in any vie fol!e! off a pointvie of the line'
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17SheetCourse: Engineering Graphics 1504 Memorial University of Nefoun!lan!
)rea* +ime
#a%e 5 minute $rea%
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1SheetCourse: Engineering Graphics 1504 Memorial University of Nefoun!lan!
"i#term ,ints an# +opics
Mi!term e9am is Novem$er 1st <ectures 1>5 are covere! +Chapters 1>4 in
te9t, 8evie your assignments 8evie visuali2ation e9ercises Aractice as many pro$lems as you can Contact me if you are stuc%' My office hours
are 1>" pm on #ues!ays +EN (0((, Stu!ent Buestions
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"0SheetCourse: Engineering Graphics 1504 Memorial University of Nefoun!lan!
$lass ssignment -6
Aoint A is ! m $ehin! the frontal plane an!
"# m $elo the hori2ontal plane' Aoint $ is ""
m $ehin! the frontal plane an! % m $elothe hori2ontal plane' #he line A$ $ears N /5?
E' Using an appropriate scale !ra a point
vie of line A$'