Gigih Putro Pratomo

Tugas 2

Untuk pengkodingan program Python dengan persamaan "ax + by = c" dan "px + qy = r" maka tahap-tahapnya adalah sebagai berikut:

import numpy as np

A = np.array([

   [a, b, c]
   ])

B = np.array([

   [p, q, r]
   ])

print (a + b)

print (a - b)

Latihan Metode Gauss

Tugas Kekakuan Pegas

Tugas 6 Metode Numerik

Link Video [[1]]

UAS Metode Numerik

import math def bracket(f,x1,h):

   c = 1.618033989
   f1 = f(x1)
   x2 = x1 + h
   f2 = f(x2)
   if f2 > f1:
       return x2,x1 - h
   for i in range (100):
       h = c*h
       x3 = x2 + h
       f3 = f(x3)
       if f3 > f2:
           return x1,x3
       x1 = x2
       x2 = x3
       f1 = f2
       f2 = f3
       print ("bracket did not find a minimum")

def search(f,a,b,tol=1.0e-9):

    nIter = int(math.ceil(-2.078087*math.log(tol/abs(b-a))))
    R = 0.618033989
    C = 1.0 - R
    x1 = R*a + C*b
    x2 = C*a + R*b
    f1 = f(x1)
    f2 = f(x2)
    for i in range(nIter):
        if f1 > f2:
            a = x1
            x1 = x2
            f1 = f2
            x2 = C*a + R*b
            f2 = f(x2)
        else:
            b = x2
            x2 = x1
            f2 = f1
            x1 = R*a + C*b
            f1 = (x1)
    if f1 < f2:
        return x1,f1
    else:
        return x2,f2

print("aplikasi optimasi section modulus L stiffner") print("kondisi terkait : lebar alas > lebar atas > lebar tengah") b1 = eval(input("Nilai lebar bangun alas :")) b3 = eval(input("Nilai lebar bangun atas :")) b2 = eval(input("Nilai lebar bangun tengah :")) H = eval(input("Nilai tinggi L stiffner :")) def f(x):

   A1 = b1*(H-x)/2
   A2 = b2*x
   A3 = b3*(H-x)/2
   d1 = 1/2*(H-x)/2
   d2 = 1/2*x+(H-x)/2
   d3 = 3/4*(H-x)+x
   I1 = 1/12*b1*((H-x)/2)**3
   I2 = 1/12*b2*x**3
   I3 = 1/12*b3*((H-x)/2)**3
   dc = H-(d1*A1+d2*A2+d3*A3)/(A1+A2+A3)
   I = I1-A1*(d1-dc)**2+I2-A2*(d2-dc)**2+I3-A3*(d3-dc)**2
   Z = I/dc
   return Z

xStart = 0.0 h = 1.0 x1,x2 = bracket(f,xStart,h) y,fMin = search(f,x1,x2) print("optimal sectional area =",-fMin) print("sectional area awal" , f(H)) A = -fMin/f(H)*100 print ("efisiensi",A,"%") input ("\nPress return to exit")

Link video: [2]