Education and Didactics

    

On the Analysis of Trusses Using Complex Numbers

Authors: Aloys J. Sipers

In this letter we show how member forces in a truss can be computed using complex numbers. We give an example of a truss where equations with only one unknown member force are formulated by taking moments about a particular chosen point. A theorem provides an expression for a moment in terms of a complex valued force, a complex valued point of application and some basic operations on complex numbers. We consider the following two situations:(i)The moments are taken about a joint of the truss.(ii)The moments are taken about a point which is not a joint of the truss. A theorem provides an expression for the position of that point in terms of joints of the truss.

Comments: 14 Pages. (Note by viXra Admin: Please cite and list scientific references)

Download: PDF

Submission history

[v1] 2026-03-03 21:34:51

Unique-IP document downloads: 98 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus