1. Engineering Graphics 2018-19-I
Lecture 21
TA101A
Engineering Graphics I By
Dr. Mukesh Sharma
Professor
DEPARTMENT OF CIVIL ENGINEERING
INDIAN INSTITUTE OF TECHNOLOGY KANPUR
KANPUR , INDIA

2. Intersection of line and solid-cutting plane method1 2 3 O H 4 5 H Z H Y H X H F F 1 2 3 O F Y F 4 5 F X F Z
Intersection of line and solid-cutting plane method

3. Intersection of a Plane and a Prism
5H10H
6H11H XH 3H EV 2H RH EV
7H12H
9H14H 4H EV EV YH 1H SH
Connect Intersection points
Move clockwise from intersection point to intersection point.
Connect a line from where line 1-4 hits plane to where line 9-14 passes through plane
Then go from this last point up to where line 2-3 hits plane
Repeat the process on the right-hand side of the prism.
Move from where line 2-3 hits plane down to where line 7-12 hits plane
Finish by moving from this last point down to where line 1-4 hits plane
Visibility?
8H13H H F 5F 9F 8F 6F 7F XF 3F 2F RF 4F YF SF 1F
10F
14F
13F
11F
12F
Expected number of intersection points = 6
When an EV exists and a line hits it, intersection point is immediately available
See the top view and immediately locate 4 intersection points
Draw line R-S through point 9-14 in top view – line R-S is on plane 1,2,3,4
Look for point of intersection between line R-S and line 9-14

4. Intersection of Solid and a LineXH QH YH ZH AH PF QF XF YF ZF AF

5. Intersection of a Cone and a Linev v Y A X N M A B 2 1 S R Y N V’ A’ M Y’ X N B M P Q S 2 X’ 1 R B’ S P 2’ 1’ Q R
Pass a cutting plane (VXY) containing line (AB) and passing through apex (V)
Sectioned part of cone (V12) is shown in grey colour
Line AB as it pierces the cone is seen at point M and N
See V,X,B,2,1,Y,A,M,N,R,S are all in one plane

6. Intersection of Solid and a PlaneBH SH
Cutting
plane UH RH TH CH AH BF TF UF XF SF RF ZF CF AF