Программа 51. Задача 69
> | restart;#Подбор сечения сжатого стержня |
> | koeff[1]:=[1,0.99,0.96,0.94,0.92,0.89,0.86,0.81,0.75,0.69,0.60,0.52,0.45,0.40,0.36,0.32,0.29,0.26,0.23,0.21,0.19]:#сталь |
> | koeff[2]:=[1,0.97,0.91,0.81,0.69,0.57,0.44,0.34,0.26,0.20,0.16]:#чугун |
> | koeff[3]:=[1,0.99,0.97,0.93,0.87,0.8,0.71,0.61,0.48,0.38,0.31,0.26,0.22,0.18,0.16,0.14,0.12,0.11,0.1,0.09,0.08]:#дерево |
> | phi:=proc(x,k) spline([i*10$i=0..nops(koeff[k])-1],koeff[k],x,linear);end:#cubic |
> | P:=100: # Нагрузка кН |
> | sigma:=130:# Допускаемое напряжение МПа |
> | mu:=1: # Коэффициент приведения (1,0.5,0.7,2) |
> | l:=1.1: # Длина (м) |
> | n:=2: # чугун |
> | K:=2*sqrt(3.): |
> | b:=l*mu/lambda*K: |
> | eq:=P-sigma*1E3*b^2*phi(lambda,n): |
> | lambda:=fsolve(eq,lambda=0..200); |
> | b; |