Charts that compute

Studied from its original page

Three-circle Mohr diagram

Mohr's circles for a three-dimensional stress state · Hauptkreise · the arc triangles between the principal circles

Made by
Christian Otto Mohr
Year
1882
Field
Engineering
Kind
Computing chart
Room
Charts that compute
Three-circle Mohr diagram
Plate from Mohr 1882, collected in Abhandlungen aus dem Gebiete der technischen MechanikInternet Archive, University of Wisconsin - Madison

See the original page — Abb. 9, printed p. 197 (leaf n211); Abb. 8 on p. 195 (leaf n209, https://archive.org/download/abhandlungenaus00mohrgoog/page/n209_w2000.jpg)

Published 1906 (A) and Mohr died in 1918, so life+70 ended in 1988 (B).

The data it needs

  • σ₁, σ₂, σ₃ value (ordered) · quantitative · stress
  • plane orientation input, only to locate one plane's point · angles to two principal axes · degree

Built in 6 steps, as its maker described

Abhandlung V ('Welche Umstände bedingen die Elastizitätsgrenze und den Bruch eines Materials?', pp. 187–211), §6 'Die vollständige graphische Darstellung des Spannungszustandes eines Körperpunktes', pp. 195–197 (p. 195 = leaf n209, p. 196 = n210, p. 197 = n211); Abb. 8 on p. 195, Abb. 9 on p. 197

Skeleton drawing, not the original plate

17 other forms share this skeleton

Source

Mohr 1882, collected in Abhandlungen aus dem Gebiete der technischen Mechanik

Attribution less certain: contested, or no single inventor recorded

Searches, not citations

archive.orgcommons.wikimedia.orgscholar.google.com