モーメント荷重が作用するはり(中央部)

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基本例題4.20 P98＜「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。？？？　

次　基本例題4.21 P99(端部)

sympyで

・ver0.1

# ver0.1
# 基本例題4.20 P98
from sympy import *
from decimal import Decimal, ROUND_HALF_UP

var('FAC,x,a,MAC,FCB,P,MCB,l,RB,MC',real=True)
# var('RA,RB'                        ,real=True)
RA = Symbol('RA')
RB = Symbol('RB')
def myDic (myStrKey,myValue):
    return {sympify(myStrKey):myValue}
def myRound1(x, d=1):
    p = Decimal(str(x)).quantize(Decimal(str(1/10**d)), rounding=ROUND_HALF_UP)
    p = float(p)
    return p
MAC=solve(-RA*x+MAC   ,MAC)[0]                  ;print("# MAC =",MAC)
MCB=solve(-RA*x+MC+MCB,MCB)[0]                  ;print("# MCB =",poly(MCB,P).args[0])
FAC=diff(MAC,x)                                 ;print("# FAC =",FAC)
FCB=diff(MCB,x)                                 ;print("# FCB =",FCB)
RA =solve(MCB.subs({x:l}),RA )[0]               ;print("# RA  =",RA)           
RB =solve(RA+RB          ,RB )[0]               ;print("# RB  =",RB) ;print()          
# 
rep = {l:1.0,a:0.4,MC:1000}
rep|= myDic("RA" ,myRound1(RA.subs(rep)) )     # ;print("# rep =",rep)
rep|= myDic("RB" ,myRound1(RB.subs(rep)) )     # ;print("# rep =",rep)
print("# ",rep )
# 
print("# RA  =",myRound1(RA .subs(rep)))
print("# RB  =",myRound1(RB .subs(rep)))
print("# FAC =",myRound1(FAC.subs(rep)))
print("# FCB =",myRound1(FCB.subs(rep)))
print("# MAC =",MAC         .subs(rep) )
print("# MCB =",MCB         .subs(rep) )
# MAC = RA*x
# MCB = -MC + RA*x
# FAC = RA
# FCB = RA
# RA  = MC/l
# RB  = -MC/l

#  {l: 1.0, a: 0.4, MC: 1000, RA: 1000.0}
# RA  = 1000.0
# RB  = -1000.0
# FAC = 1000.0
# FCB = 1000.0
# MAC = 1000.0*x
# MCB = 1000.0*x - 1000

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。

Qiita

参考文献

~~＞一部に等分布荷重を受ける単純支持はり~~
~~＞JSME p89~~
　
＞単純ばり 12)
＞構造力学公式集表5.2 単純ばりの公式　p138