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== UAS Metode Numerik ==
 
== UAS Metode Numerik ==
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import math
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Link coding & ppt: [https://drive.google.com/drive/u/1/folders/1OETfsU8KAtEr2pLb0Mwh0ghlVKCInDtv]
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def bracket(f,x1,h):
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Link video: [https://www.youtube.com/watch?v=0j-vFS2T7VU]
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    c = 1.618033989
 
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    f1 = f(x1)
 
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    x2 = x1 + h
 
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    f2 = f(x2)
 
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    if f2 > f1:
 
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        return x2,x1 - h
 
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    for i in range (100):
 
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        h = c*h
 
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        x3 = x2 + h
 
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        f3 = f(x3)
 
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        if f3 > f2:
 
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            return x1,x3
 
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        x1 = x2
 
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        x2 = x3
 
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        f1 = f2
 
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        f2 = f3
 
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        print ("bracket did not find a minimum")
 
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def search(f,a,b,tol=1.0e-9):
 
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    nIter = int(math.ceil(-2.078087*math.log(tol/abs(b-a))))
 
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    R = 0.618033989
 
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    C = 1.0 - R
 
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    x1 = R*a + C*b
 
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    x2 = C*a + R*b
 
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    f1 = f(x1)
 
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    f2 = f(x2)
 
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    for i in range(nIter):
 
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        if f1 > f2:
 
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            a = x1
 
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            x1 = x2
 
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            f1 = f2
 
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            x2 = C*a + R*b
 
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            f2 = f(x2)
 
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        else:
 
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            b = x2
 
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            x2 = x1
 
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            f2 = f1
 
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            x1 = R*a + C*b
 
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            f1 = (x1)
 
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    if f1 < f2:
 
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        return x1,f1
 
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    else:
 
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        return x2,f2
 
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print("aplikasi optimasi section modulus L stiffner")
 
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print("kondisi terkait : lebar alas > lebar atas > lebar tengah")
 
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b1 = eval(input("Nilai lebar bangun alas :"))
 
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b3 = eval(input("Nilai lebar bangun atas :"))
 
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b2 = eval(input("Nilai lebar bangun tengah :"))
 
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H = eval(input("Nilai tinggi L stiffner :"))
 
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def f(x):
 
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    A1 = b1*(H-x)/2
 
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    A2 = b2*x
 
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    A3 = b3*(H-x)/2
 
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    d1 = 1/2*(H-x)/2
 
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    d2 = 1/2*x+(H-x)/2
 
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    d3 = 3/4*(H-x)+x
 
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    I1 = 1/12*b1*((H-x)/2)**3
 
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    I2 = 1/12*b2*x**3
 
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    I3 = 1/12*b3*((H-x)/2)**3
 
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    dc = H-(d1*A1+d2*A2+d3*A3)/(A1+A2+A3)
 
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    I = I1-A1*(d1-dc)**2+I2-A2*(d2-dc)**2+I3-A3*(d3-dc)**2
 
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    Z = I/dc
 
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    return Z
 
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xStart = 0.0
 
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h = 1.0
 
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x1,x2 = bracket(f,xStart,h)
 
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y,fMin = search(f,x1,x2)
 
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print("optimal sectional area =",-fMin)
 
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print("sectional area awal" , f(H))
 
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A = -fMin/f(H)*100
 
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print ("efisiensi",A,"%")
 
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input ("\nPress return to exit")
 
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Link video: [http://https://youtu.be/0j-vFS2T7VU]
 

Latest revision as of 15:34, 29 May 2019

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

Gigih Putro Pratomo PR Terjemahan Gauss.png


Tugas Kekakuan Pegas

Step1.PNG Step2.PNG Runpegas.PNG


Tugas 6 Metode Numerik

Flowchart Tugas 5 Metnum.jpg

Link Video [[1]]


UAS Metode Numerik

Link coding & ppt: [2] Link video: [3]

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