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simple beam,uniformly distributed load 第6章 はりのたわみと不静定はり 基本例題6.06 P160「材料力学演習(20221021)」をsympyでやってみたい。

Last updated at Posted at 2024-01-11

latexで

\dfrac{d^{4}y}{dx^{4}}=\dfrac{q}{EI_{z}}

オリジナル

基本例題6.06 P160 (pdf)「材料力学演習(20221021)一括(ver.3.3)」を勉強したい。#sympy
        ???タブレット等で、pdfを開く事ができないかも。??? 

sympyで

・ver0.1

# ver0.1
# 基本例題6.06 P160
from sympy import *

var('l,EIz,q,vA,x,z,θA,RA',real=True)
repxl={x:l}
repvA={vA:0}
repRA={RA:Rational(1,2)*q*l}
M  =RA*x-Rational(1,2)*q*x**2                                       ;print("# M   =",M)
θ  =θA-integrate(M/EIz,x)                                         ;print("# θ  =",θ)
v  =vA+integrate(θ    ,x)                                         ;print("# v   =",v) 
sol=solve(v.subs(repxl),θA)[0].subs(repvA).subs(repRA).factor()  ;print("# θA =",sol)
# M  = RA*x - q*x**2/2
# θ  = θA - RA*x**2/(2*EIz) + q*x**3/(6*EIz)
# v  = vA + x*θA - RA*x**3/(6*EIz) + q*x**4/(24*EIz)
# θA = l**3*q/(24*EIz)

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
 
>表5.2 単純支持ばりの公式 2)
>構造力学公式集 p134

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