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7/25/2019 02 Predavanje 2016 I Deo
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:
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.
[L2]
[m2]
[mm2
] [km2
]
[mm2]= 10-6 [m2] [km2] = 106 [m2]
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d
(d
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C
1d
A
y y A
A
C
1d
A
z z A
A
C CC ,y z
dA
A A
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, ,
:
n
C Ci i
i 1
1y y AA
n
C Ci i
i 1
1z z AA
i - -
- - i Ci CiC ,y z
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C1 {y1, z1}; C2 {y2, z2}; C3 {y3, z3};; Cn {yn, zn}
3z
y
C
C1C3
C2C4
2 4
1
C5
Cn
1
1
2 3 4 5 .....n
i
i
nA A A A AA AAA
A dA
[L2] [m2]
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z
y
A
ZC
C
yCb
h
=f(y)
2
bhA
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O yC
C
1
dA
y y AA
dA
z
y
A
b
hyb
h
z
hd
dy
Cd
y
a dA
- dy -
d
hh z y h
b
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:
dCd
2hzCd d
2yy y
:
dd d dh
A h y y h yb
:
dA
z
y
A
b
hyb
hz
hd
dy
Cd
y
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C Cd
0 0
1 1 dd d
2
b bh y
y y A y h y yA A b
C
0 0
22 3
0 0
1 1d d
2 2d
3 2
b b
bb
hy y A y h y y
A A b
h h hyy hy y y
bh b bh b2 2 2
3
2
2 2
3 2 3 2
2
6 3
h hb b h hb
bbh b bh
b h b
bh
C
3
by
2
bhA
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d
C0 0
1 1
d d2
b bh
z z A AA A
C
3hz
:
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yC
r
z
y
A
C
z
y
A
r
dA
Cd
rC
d
C
2sin
3y r
21 1
d d d2 2A r r r
, r
C
0
1d
a
y y AA
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:
.
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y
A
S zdA
z
A
S ydA
[L3] [m3]
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:
c
A
c
A
z A zdAy A ydA
c z c yz A Sy A S
cc
yz S
zyA A
S
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Sy= Sz= Su= Sv= 0
() :
0
0
0
0
c
c
c
c
z
y
v
u
cc
c uc y
z v
z
y A S u A
v S
S
A AS
C y
zv
u
O
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3z
y
C
C1C3
C2C4
2 4
1
C5
Cn
1 2 3
1 2 31 2
1
3
...
...
n
n i
A A A A
C C n i CC
i
C
z
n
ydA ydA ydA ydA
A
S
A yy A y A y A y
1 2 3 11 2 3
1 2 3
1
...
...
n
iC C C
n
i C
iz
n
i
C
C
i
n
n
AA y A y A y A y
A A A
yS
yA
A
A
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3z
y
C
C1C3
C2C4
2 4
1
C5
Cn
1 2 3
1 2 31 2
1
3
...
...
n
n i
A A A A
C C n i CC
i
C
y
n
zdA zdA zdA zdA
A
S
A zz A z A z A z
1 2 3 11 2 3
1 2 3
1
...
...
n
iC C C
n
i Cy i
n
i
C
C
i
n
n
AA z A z A z A z
A A A
zS
zA
A
A
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, , .
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y
y
y
0yS 0yS 0yS
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0 0z
z c
SS y
A0
y
y c
SS z
A
, .
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y
S1>0
S2
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zC
dAdA
y-y
0z levo desno
S S S
( )
lA
z levo yS dA ( )
l
z desn
A
o yS dA
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zC
yC
C
0y zS S
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.