Theorem of three moments
id:
theorem-of-three-moments-214-383560
title:
Theorem of three moments
text:
In civil engineering and structural analysis Clapeyron's theorem of three moments is a relationship among the bending moments at three consecutive supports of a horizontal beam. Let A,B,C-D be the three consecutive points of support, and denote by- l the length of AB and l ′ the length of BC, by w and w ′ the weight per unit of length in these segments. Then the bending moments M A, M B, M C at the three points are related by:
- M A l + 2 M B + M C l ′ = 1 4 w l 3 + 1 4 w ′ 3. This equation ca
brand slug:
wiki
category slug:
encyclopedia
description:
Theorem used in structural analysis
original url:
https://en.wikipedia.org/wiki/Theorem_of_three_moments
date created:
2009-06-27T15:57:30Z
date modified:
2024-09-12T11:49:52Z
main entity:
{"identifier":"Q7782348","url":"https://www.wikidata.org/entity/Q7782348"}
image:
fields total:
13
integrity:
15