Part_2_Problem_4

In [21]:

    

Eal=69
Ec=128
nc=Ec/Eal
nal=Eal/Eal
nc


    

    
Out[21]:





1.855072463768116

In [22]:

    

b = 24
bal = b
bc = b
hc = 3
hal = 9
Aal = bal*hal
Aal


    

    
Out[22]:





216

In [23]:

    

nAal = nal*Aal
nAal


    

    
Out[23]:





216.0

In [24]:

    

y0al=hal/2+hc
y0al


    

    
Out[24]:





7.5

In [25]:

    

nAy0al = nal*Aal*y0al
nAy0al


    

    
Out[25]:





1620.0

In [26]:

    

Ac = bc*hc
Ac


    

    
Out[26]:





72

In [27]:

    

nAc = nc*Ac
nAc


    

    
Out[27]:





133.56521739130434

In [28]:

    

y0c = hc/2
y0c


    

    
Out[28]:





1.5

In [29]:

    

nAy0c = nc*Ac*y0c
nAy0c


    

    
Out[29]:





200.3478260869565

In [30]:

    

nAy0 = nAy0c+nAy0al
nAy0


    

    
Out[30]:





1820.3478260869565

In [32]:

    

nA = nAc + nAal
nA


    

    
Out[32]:





349.5652173913044

In [33]:

    

Y0 = nAy0/nA
Y0


    

    
Out[33]:





5.207462686567164

In [34]:

    

dal=Y0-(3+9/2)
dal


    

    
Out[34]:





-2.2925373134328364

In [36]:

    

Ial = (nal/12)*bal*hal**3+nal*Aal*dal**2
Ial


    

    
Out[36]:





2593.2371040320786

In [37]:

    

dc=Y0-(3/2)
dc


    

    
Out[37]:





3.7074626865671636

In [38]:

    

Ic = (nc/12)*bc*hc**3+nc*Ac*dc**2
Ic


    

    
Out[38]:





1936.0651672203544

In [39]:

    

I = Ial + Ic
I


    

    
Out[39]:





4529.302271252433

In [41]:

    

h=hal+hc
h


    

    
Out[41]:





12

In [42]:

    

yal = h-Y0
yal


    

    
Out[42]:





6.792537313432836

In [43]:

    

M = 40*1000


    

In [44]:

    

sal = nal*M*yal/I
sal


    

    
Out[44]:





59.98749393737926

In [46]:

    

yc = -Y0
yc


    

    
Out[46]:





-5.207462686567164

In [48]:

    

sc=-nc*M*yc/I
sc


    

    
Out[48]:





85.31310173104836

In [ ]: