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Key to the construction are the rectangular areas which combine the reciprocal form and force diagrams in the unified Maxwell\u2013Minkowski diagram. The area of each such rectangle is the product of the bar tension and the bar length, and this corresponds to the rotational stiffness of the bar that arises due to the axial force that it carries. The prestress stability of any kinematic freedom may then be assessed using a weighted sum of these areas. The method is generalized to describe the out-of-plane stability of two-dimensional trusses, and to describe three-dimensional trusses in general. The paper also gives a graphical representation of the \u2018product forces\u2019 that were introduced by Pellegrino and Calladine to describe the prestress stability of trusses.<\/jats:p>","DOI":"10.1098\/rsos.201970","type":"journal-article","created":{"date-parts":[[2021,6,9]],"date-time":"2021-06-09T07:08:45Z","timestamp":1623222525000},"page":"201970","update-policy":"https:\/\/doi.org\/10.1098\/crossmark-policy","source":"Crossref","is-referenced-by-count":4,"title":["Stability of trusses by graphic statics"],"prefix":"10.1098","volume":"8","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6610-5927","authenticated-orcid":true,"given":"Allan","family":"McRobie","sequence":"first","affiliation":[{"name":"Cambridge University Engineering Department, Trumpington St, Cambridge CB2 1PZ, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Cameron","family":"Millar","sequence":"additional","affiliation":[{"name":"Cambridge University Engineering Department, Trumpington St, Cambridge CB2 1PZ, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"William F.","family":"Baker","sequence":"additional","affiliation":[{"name":"Skidmore Owings and Merrill, Chicago, IL, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"175","published-online":{"date-parts":[[2021,6,9]]},"reference":[{"key":"e_1_3_5_2_2","doi-asserted-by":"publisher","DOI":"10.1080\/14786446408643663"},{"key":"e_1_3_5_3_2","first-page":"160","article-title":"On reciprocal figures, frames and diagrams of forces","volume":"7","author":"Maxwell JC","year":"1870","unstructured":"Maxwell JC. 1870 On reciprocal figures, frames and diagrams of forces. 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