The epicycloid

An epicycloid is defined as the locus of a point on the circumference of a circle which rolls without slip around the outside of another circle. The method of construction is shown in Fig. 10.15.

1 Draw the curved surface and the rolling circle, and divide the circle into a convenient number of parts (say 6) and number them as shown.

Technical Drawing Loci
Fig. 10.14 Cycloid
Cycloid Outside Circle

Epicycloid

Direction of rotation of rolling circle

Initial position of rolling circle

Epicycloid

Direction of rotation of rolling circle

Initial position of rolling circle

Engineering Drawing Epicycloid

Final position of rolling circle

Base circle

Final position of rolling circle

Base circle

Fig. 10.15 Epicycloid

2 Calculate the length of the circumference of the smaller and the larger circle, and from this information calculate the angle 0 covered by the rolling circle.

3 Divide the angle 0 into the same number of parts as the rolling circle.

4 Draw the arc which is the locus of the centre of the rolling circle.

5 The lines forming the angles in step 3 will now intersect with the arc in step 4 to give six further positions of the centres of the rolling circle as it rotates.

6 From the second centre, draw radius R to intersect with the arc from point 2 on the rolling circle. Repeat this process for points 3, 4, 5 and 6.

7 Draw a smooth curve through the points of intersection, to give the required epicycloid.

Was this article helpful?

+3 -4
Pencil Drawing Beginners Guide

Pencil Drawing Beginners Guide

Easy Step-By-Step Lessons How Would You Like To Teach Yourself Some Of The Powerful Basic Techniques Of Pencil Drawing With Our Step-by-Step Tutorial. Learn the ABC of Pencil Drawing From the Experts.

Get My Free Ebook


Responses

  • tony
    How to draw epicycloid?
    8 years ago
  • Shukornia Omar
    How to draw cycloid, cad?
    8 years ago
  • asmara
    How do i construct an epicycloid and hypocycloid in technical drawing?
    8 years ago
  • max
    How to draw steps epicycloid for engineering drawing?
    8 years ago
  • carmen
    How to draw a sphere technical drawing?
    8 years ago
  • niklas
    How to make epicycloid?
    7 years ago
  • simon
    How to draw epicycloid curve in cad?
    4 years ago
  • oran
    How to draw an epicycloid diagram?
    4 years ago
  • Toini
    How to draw the cyclod in technical drawing?
    4 years ago
  • aila
    How to construct an epicycloid step by step instruction?
    3 years ago
  • artemio
    How to draw an epicycloid in engineering graphics?
    3 years ago
  • benjamin
    How to construct a loci epicycloid?
    3 years ago
  • anna
    How to draw a epicycloid step by step?
    3 years ago
  • taylor
    How to draw an epicycloid diagam?
    3 years ago
  • Kim Barbieri
    How is loci been drawn?
    3 years ago
  • nina burrowes
    What is a rolling circle technical drawing?
    3 years ago
  • Sirja
    How to construct an epicycloid with steps and procedures?
    3 years ago
  • Chanelle
    How to draw angles in epicycloid in engineering drawing?
    3 years ago
  • katja
    How to draw an epicycloid with pics?
    3 years ago
  • Danait
    How to drawepycycloid?
    3 years ago
  • bo
    How to draw an epicycliod?
    3 years ago
  • PROSERPIO SAGESE
    How to draw cycloids in drawing subject?
    3 years ago
  • crispus proudfoot
    How draw epicycloid in drawing subject?
    3 years ago
  • NICOLAS
    How to draw a cycloid and epicycloid?
    3 years ago
  • eugene
    How to divide the base circle of epicycloid given the angle?
    3 years ago
  • reija
    How to drawn epi cycliod?
    3 years ago
  • PAMPHILA HOGPEN
    Which formula for finding a angle of epicycloid in engineer drawing?
    3 years ago
  • CARSON WATT
    How to divide lines when constructing epicycloid?
    3 years ago
  • basso
    How to draw an epycycloid?
    3 years ago
  • ariam
    How to construct rolling circles In epicycloid?
    3 years ago
  • anna-liisa
    How to draw an epicycloid and hypocycloid using the same angle?
    3 years ago
  • MALVA
    How o draw epicycloids?
    3 years ago
  • henriikka
    How to learn construction of an epicycloid?
    3 years ago
  • Yohannes
    How to calculate the angle of a epicycloid?
    3 years ago
  • MATHEW
    How to draw an epicycloid atep by step?
    3 years ago
  • guy
    How to draw eepicycloid?
    3 years ago
  • ANNA
    How to constrcuct epicycloid?
    3 years ago
  • marmadoc
    How to draw a epicycloid using drafter?
    3 years ago
  • abbi
    How to draw the epicycloid in engineering graphic?
    2 years ago
  • Justin
    How to draw epic cyclord?
    2 years ago
  • katharina
    How to draw epicycloide?
    2 years ago
  • ruth
    How to draw a hypocycloid loci?
    2 years ago
  • JASKA
    How to plot the locus of an epicycloid?
    2 years ago
  • Rhoda Burrowes
    How to draw epicycloidin engineering drawing?
    2 years ago
  • lavinia
    How to mame epi cycloid.?
    2 years ago
  • melba
    HOW TO DRAW EPICYLOID?
    2 years ago
  • sirja suominen
    How t ok draw an epicycloid of 25 mm radius?
    2 years ago
  • Colette
    How to draw an epicycloid in engine drawing?
    2 years ago
  • Carol
    How to make cycloid using drafter?
    2 years ago
  • SANNA
    How to mark the points when constructing epicycloid?
    2 years ago
  • gary ginn
    How to construct a epicyliod?
    2 years ago
  • tim
    How to construct an epicycloids?
    2 years ago
  • THORSTEN
    How to draw a epicycloid in 1year engineering?
    1 year ago
  • MACY
    How to draw epicycloid in step by step instruction?
    1 year ago
  • walter
    How to draw an epicycloid and hypocycloid in technical graphics?
    1 year ago
  • neave
    How to constract a epicycloid?
    1 year ago
  • John
    How to draw an epycycloid of a circle?
    1 year ago
  • EDWARD LAWSON
    How to draw epicyloids?
    1 year ago
  • birgit adler
    How to find the angle of epicycloid?
    9 months ago
  • oran
    How to draw a cycliod?
    6 months ago

Post a comment