ENGR 150Engineering Graphics

REVIEW

Station Point

Vanishing Point

Picture Plane

Horizon Line

Ground Line

a b c

a’ b’c’

1-Point Perspective

Picture Plane

Ground Line

2-Point Perspective

SP

Horizon Line Vanishing Point Vanishing Point

ParallelParallel

Station Point

Picture Plane

Horizon Line

Ground Line

1-Point Perspective

vp

Station Point

Picture Plane

Horizon Line

Ground Line

1-Point Perspective

vp

Isometric

Isometric Ellipse

Isometric Ellipse (4-center method)

1. Draw an isometric equilateral parallelogram with sides equal to diameter of circle.

2. Join the mid-point of each side to the nearer end-point of the opposite side.

3. Draw arcs of radius r and radius R.

r

R

True length line

H1

H

FAF

BH

AH

BF

1 2

True Length line and Point View

• True Length:– Place an auxiliary view

parallel to the line– Project line on to the auxiliary

view.

• Point View:– Find true length first– Place auxiliary view

perpendicular to true length line

– Project line on to 2nd auxiliary view.

H1

H

FAF

BH

AH

BF

1 2

Edge View and True Shape Plane

• Edge View– Draw a line in the plane

parallel to a “folding line”– Project this line into the

adjacent view.– Find a point view of the this

line and project the other points of the plane.

• True Shape– Place an auxiliary view

parallel to the edge view– Project the plane into

auxiliary viewAF

F

H

BF

CH

CF

AH

BH

C1

A1

B1

1HT.L.

12

C2

B2

A2

Angle Between Planes

C

A

D

A

F

H

B

B

D

C

T.L.

E.V

.

E.V.

Exercise

1F

F

H

21

23TS

TS

θ

C

B,D

A,E

B,F

B

A

FE

C D

F

E

CDA,C

A,B

E

F

D

C

DB

A

Intersection and Visibility

AF

CF

BF

DF

CH

BH

AH

DH

F

H

EF

GF

FF

HF

GH FH

EH

HH

F

H

GH lies in front of EF

GH lies on top of EF

Intersection of Line and PlaneCutting Plane Method

AF

F

H

BF

CF

GF

LF

AH

BH

CH

GH

LH

Step 1

Step 2

Step 3

Intersection of Two PlanesCutting Plane Method

BF

F

H

AF

CF

XF

YF

BH

CH

AH

YH

ZH

ZF

XH

BF

F

H

AF

CF

XF

YF

BH

CH

AH

YH

ZH

ZF

XH

a2

c2

b2

d2

500 m a3

c3

500 m

c5

b5

Solution to 6-19

e,f2

500

m

250

m

d4

e4

b,f4

Gradient Problem: solution