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L字はり(ラーメン構造)。エネルギーで「youtube【東京理科大学】第11回 材料力学基礎授業[例4]」をsympyでやってみたい。

Last updated at Posted at 2024-01-18

[例4]L字はり(ラーメン構造)

youtubeの板書です。

途中37:00から (0:00〜1:22:49)

sympyで

・ver0.1

# ver0.1
# [例4] L字はり(ラーメン構造) 
from sympy import *
var('P,l,R,a,b,x,EA,EI',real=True)
U1=1/(2*EA)*integrate(  P       **2,(x,0,a))+1/(2*EI)*integrate((P*b)**2,(x,0,a))   #;print('#',U1)
U2=1/(2*EI)*integrate((-P*(b-x))**2,(x,0,b))                                        #;print('#',U2)
U1U2=U1+U2                                                                          #;print('#',U1U2)                                              
δ =diff(U1U2,P)                                                                    ;print('#',δ)                                              
# P*a*b**2/EI + P*b**3/(3*EI) + P*a/EA

(勉強中) Mathematicaで

(勉強中) MATLAB 追加のオプションSymbolic Math Toolbox で

いつもの? sympyの実行環境と 参考のおすすめです。

(テンプレート)

いつもと違うおすすめです。

参考文献

>等分布荷重を受ける単純支持はり
>JSME p85
 
>単純支持ばり 7)
>構造力学公式集 p136

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