Engineering Graphics: Unit I (d): Engineering Curves
Construction of Involute of a Square
Engineering Graphics (EG)
Example 7: Construct an Involute of a square of side 25 mm. Also draw a tangent and normal at any point M.
INVOLUTE OF A SQUARE Example 7: Construct an Involute of a square of side 25 mm. Also draw a tangent and normal at any point M. Construction: 1) Draw a square of side 25 mm and name the corners as 1, 2, 3 and 4 in clockwise direction. 2) Draw a tangent AB coinciding A at 4 of length equal to the perimeter of square. ie., AB = 4 × 25 = 100 mm. Divide AB into four parts and name the parts as 1', 2', 3′ and 4'. 3) Let P0 be the starting point of involute which coincides with 4 (and A). 4) Draw tangents through the points 1, 2 and 3. 5) With 1 as centre and A-1' as radius draw an arc to cut the tangent drawn through the point 1 to get P1. 6) Similarly obtain the other points P2, P3 and P4 by taking 2, 3 and 4 as centres and A-2', A-3′ and A-4' as radii respectively. (Note that P4 coincides with 4' and B). 7) Draw a smooth curve by joining the points P0, P1, P2, P3 and P4, which is the required involute of the square. Note : To join the points P1, P2 etc. arcs may be draw as below. with 1 as centre, and radius A-1′, draw an arct to join P0 and P1 with 2 as centre, and radius A – 2′, draw an arct to join P1 and P2 and so on. Let M be a point on the curve, through which normal and tangent are to be drawn. i) Join A and M and extend it, which is the required normal. ii) Draw a line perpendicular to AM at M. Let this line be TT', which is the required tangent.
To draw normal and tangent at any point M.
Engineering Graphics: Unit I (d): Engineering Curves : Tag: : Engineering Graphics (EG) - Construction of Involute of a Square
Engineering Graphics: Unit I (d): Engineering Curves
Under Subject
Engineering Graphics
GE3251 eg 2nd semester | 2021 Regulation | 2nd Semester Common to all Dept 2021 Regulation
Related Subjects
Professional English II
HS3251 2nd Semester 2021 Regulation | 2nd Semester Common to all Dept 2021 Regulation
Statistics and Numerical Methods
MA3251 2nd Semester 2021 Regulation M2 Engineering Mathematics 2 | 2nd Semester Common to all Dept 2021 Regulation
Engineering Graphics
GE3251 eg 2nd semester | 2021 Regulation | 2nd Semester Common to all Dept 2021 Regulation
Physics for Electrical Engineering
PH3202 2nd Semester 2021 Regulation | 2nd Semester EEE Dept 2021 Regulation
Basic Civil and Mechanical Engineering
BE3255 2nd Semester 2021 Regulation | 2nd Semester EEE Dept 2021 Regulation
Electric Circuit Analysis
EE3251 2nd Semester 2021 Regulation | 2nd Semester EEE Dept 2021 Regulation
Physics for Electronics Engineering
PH3254 - Physics II - 2nd Semester - ECE Department - 2021 Regulation | 2nd Semester ECE Dept 2021 Regulation
Electrical and Instrumentation Engineering
BE3254 - 2nd Semester - ECE Dept - 2021 Regulation | 2nd Semester ECE Dept 2021 Regulation
Circuit Analysis
EC3251 - 2nd Semester - ECE Dept - 2021 Regulation | 2nd Semester ECE Dept 2021 Regulation
Materials Science
PH3251 2nd semester Mechanical Dept | 2021 Regulation | 2nd Semester Mechanical Dept 2021 Regulation
Basic Electrical and Electronics Engineering
BE3251 2nd semester Mechanical Dept | 2021 Regulation | 2nd Semester Mechanical Dept 2021 Regulation
Physics for Civil Engineering
PH3201 2021 Regulation | 2nd Semester Civil Dept 2021 Regulation
Basic Electrical, Electronics and Instrumentation Engineering
BE3252 2021 Regulation | 2nd Semester Civil Dept 2021 Regulation
Physics for Information Science
PH3256 2nd Semester CSE Dept | 2021 Regulation | 2nd Semester CSE Dept 2021 Regulation
Basic Electrical and Electronics Engineering
BE3251 2nd Semester CSE Dept 2021 | Regulation | 2nd Semester CSE Dept 2021 Regulation
Programming in C
CS3251 2nd Semester CSE Dept 2021 | Regulation | 2nd Semester CSE Dept 2021 Regulation