sifat penampang datar
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SIFAT PENAMPANG DATAR REFERENSI: Mekanika Bahan Edisi Keempat, J.M. Gere & S.P. Timoshenko
(Sebagian rumus)
Persegi / Persegi Panjang
xc 1
2h=
yc 1
2b=
A bh=
Ix 31
12bh=
Iy 31
12hb=
Sx 21
6bh=
Sy 21
6hb=
Ip ( )2 21
12bh b h= +
Segitiga Sama Sisi
xc 1
2a=
yc 3
6a=
A 23
4a=
Ix 43
96a=
Iy 43
96a=
Sx 33
48a=
Sy 31
16a=
Ip 43
48a=
Lingkaran
xc 1
2d=
yc 1
2d=
A 2
4dπ=
Ix 4
64dπ=
Iy 4
64dπ=
Sx 3
32dπ=
Sy 3
32dπ=
Ip 4
32dπ=
h
b
X
Y
y
x
c
c
a
X
Y
y
x
c
c
a
X
Y
dx
y
c
c
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Tabung Pipa Dinding Tebal
xc 1
2d=
yc 1
2d=
A ( )t d tπ= −
Ix,y ( )( )44
642d d tπ= − −
( )3 2 2 3 4
83 4 2d t d t dt tπ= − + −
Sx,y ( )( )33
322d d tπ= − −
( )3 2 2 3 4
43 4 2
dd t d t dt tπ= − + −
Ip ( )3 2 2 3 4
43 4 2d t d t dt tπ= − + −
Tabung Pipa Dinding Tipis
xc 1
2d=
yc 1
2d=
A dtπ=
Ix 3
8d tπ=
Iy 3
8d tπ=
Sx 2
4d tπ=
Sy 2
4d tπ=
Ip 3
4d tπ=
Tabung Kotak
xc 1
2h=
yc 1
2b=
A ( ) 22 4t b h t= + −
Ix ( ) ( )331
122 2bh b t h t = − − −
Iy ( ) ( )331
122 2hb h t b t = − − −
Sx ( )( )331
62 2
hbh b t h t = − − −
Sy ( )( )331
62 2
bhb h t b t = − − −
Ip ( )( ) ( )( )3 33 31
122 2 2 2bh hb b t h t h t b t = + − − − − − −
X
Y
d
t
x
y
c
c
X
Y
d
t
x
y
c
c
X
Y
b
h
t
ty
x
c
c
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Penampang T
xc 1
2b=
yc ( )( )
( )( )
221 1
2 2bh b w h t
bh b w h t
− − −=
− − −
A ( )bt w h t= + −
Ix 231 1
12 2 cbh bh h y= + −
( )( ) ( )( ) ( )23
1 1
12 2 cb w h t b w h t h t y− − − − − − − −
Iy ( )( )3 31
12h t w tb= − +
Sx x
c
I
y=
Sy y
c
I
x=
Ip x yI I= +
Penampang I / H
xc 1
2b=
yc 1
2h=
A ( ) ( )2bh b w h t= − − −
Ix ( ) ( )( )331
122bh b w h t= + − −
Iy ( )( )3 31
122 2h t w tb= − +
Sx ( )( )( )331
62
hbh b w h t= + − −
Sy ( )( )3 31
62 2
bh t w tb= − +
Ip ( ) ( )( ) ( ) ( )( )3 33 31
122 2bh hb b w h t h t b w = + − − − + − −
Keterangan : xc = jarak titik berat (arah sumbu-X) yc = jarak titik berat (arah sumbu-Y) A = luas penampang Sx = momen statis (tinjauan sumbu-X) Sy = momen statis (tinjauan sumbu-Y) Ix = momen inersia (tinjauan sumbu-X) Iy = momen inersia (tinjauan sumbu-Y) Ip = momen inersia polar terhadap pusat sumbu
X
Yxc
yc
b
h
t
w
X
Yxc
yc
b
h
t
w