View
216
Download
1
Embed Size (px)
8/17/2019 Statis Momen
1/160
step 1
step 2 MOMEN INERSIA. I Rumus Umum :
= 12274.3
step 3 MOMEN LAWAN, W Rumus Umum :
= 1523.71 cm³
= 724.385 cm³
step 4 TEGANGAN :
cm4
y1
y2
5
25
5
20
z1
z2
yb = 16,94
ya = 8,06
)Ukuran daam cm!
"#
∫ = dA I . 2
ρ
2
2
3
22
2
1
3
11 ... 12
1 ...
12
1 z AII hb z AI hb Ix
tot +++=
y
I W =
a ATAS y
Ix
W =
b
BAWAH y
Ix W =
8/17/2019 Statis Momen
2/160
y1
z$3
y2
ya = 8,06
yb = 16,94
z$2
z$1
20
5
25
5
"#
)Ukuran daam cm!
8/17/2019 Statis Momen
3/160
1) TEGANGAN GESER, t Rumus Umum :
a!. %aya$ )&'ns!
1200 ) 25 ( 5 ( 5.56 ! = 2.7157 k*cm+
25 ( 12274.3056
b!. ,adan )-'b!
1200 ) 5 ( 20 ( 6.94 ! = 13.5785 k*cm+
5 ( 12274.3056
1200 ) 5 ( ( 8.47 ! = 14.0349 k*cm+
5 ( 12274.3056
2) TEGANGAN NORMAL, Rumus Umum :
= / = = 8.89k*cm+
225
3) TEGANGAN LENTUR, Rumus Umum :
a! . %'ra as == m'n n'a b'rar s'ra aas 'rark )!
= 720000 = 472.532 k*cm+ )!
1523.7
b! . %'ra ,aa == m'n n'a b'rar s'ra aas 'r'kan )!
= 720000 = 993.946 k*cm+ )!
724.39
Ä ;ada ,aas nara %aya$ < ,adan
τa =
τb =
Ä ;ada ars /'ra kba ,aan ,adan %'n yb
τc =
5
I b
S D
.
.
=τ
N σ
A
P =σ
N σ
M σ W
M =σ
ATAS
I I M
W M
−
=σ
BAWAH
I I
M W
M −
=σ
8/17/2019 Statis Momen
4/160
ambar >aram
?kk @rdna >aram
>aram ?'. 's'r sca'
2.7157 100 0.027157001 13.5785 100 0.135785007
14.0349 100 0.140348892
>aram ?'. /rma sca'
8.88889 100 0.088888889
8.88889 100 0.088888889
>aram ?'. #'nur sca'
472.532 10000 0.047253182
993.946 10000 0.099394625
ya =8,06
yb = 16,94
z$2
z$1
20
5
25
5
y1
z$3
y2
8/17/2019 Statis Momen
5/160
Parameter
b1 = 25 cm
h1 = 5 cm
b2 = 5 cm
h2 = 20 cm
STATIS MOMEN KE TEPI ATAS, (ya)
C = 25 ( 5 = 125 cm+
CC = 5 ( 20 = 100 cm+
y1 = 5 * 2 = 2.5 cm
y2 = 20 5 = 15 cm
2
ya = C.y1 CC.y = 8.05556 cm C CC
yb = )205! ya = 16.9444 cm
z1 = ya y1 = 5.55556 cm
z2 = y2 ya = 6.94444 cm
8/17/2019 Statis Momen
6/160
z$1 = ya y1 = 5.55556 cm
z$2 = y2 ya = 6.94444 cm
z$3 = yb*2 = 8.47222 cm
b3 = 5 cm
h3 = yb cm
= 16.9 cm
8/17/2019 Statis Momen
7/160
>k'au : > = 1.2
= 1200 k
>k'au : / = 2
2000 k
=
= C CC
= 225 cm+
>k'au : = 7.2 .m
720000 k.cm
= 1523.71 cm³
= 724.385 cm³
a
b 1 .
1 b
2 .
2
C C
- ?%
- ,-D
8/17/2019 Statis Momen
8/160 ?A ?A. A%AR
8
14
13,5792,716
8/17/2019 Statis Momen
9/160
C = 600 ( 200 = 120000 mm2
CC = 200 ( 500 = 100000 mm2
y1 = 200 * 2 = 100 cm
y2 = 500 200 = 450 cm
2
ya = C.y1 CC.y2 = 259.091 cm
C CC
yb = )205! ya = 440.909 cm
600
50 10 0 1 00 1 00 1 00 1 00
50
50
100
50
200
50 100
50
50
150
250
350
450
550
650
8/17/2019 Statis Momen
10/160
8/17/2019 Statis Momen
11/160
8/17/2019 Statis Momen
12/160 ?A. #A/?UR ?A. /BR#
993,946
472,5328,889
14
3,579
8/17/2019 Statis Momen
13/160
8/17/2019 Statis Momen
14/160
8/17/2019 Statis Momen
15/160
8/17/2019 Statis Momen
16/160
8/17/2019 Statis Momen
17/160
b = 250 fc' = 25 N/mm2
h = 500 fy = 400 N/mm2
d' = 50 D = 19 mm
As tul = 2!"52# mm2
d = h $ d'
d = 450 As = 50"5%2 As' = 50"5%2
d $ h/2 = 200
d $ d' = 400
0"5 & fc' & h & b & d $ h/2( ) As' & fy & d $ d'( %%#,!4!,#9!"#5 200"00
0"5 & fc' & h & b ) As ) As'( & fy !!!%#1"9%#%#55
b = 250 fc' = 25 N/mm2
h = %00 fy = 400 N/mm2
d' = 50 D = 19 mm
As tul = 2!"52# mm2
d = h $ d'
d = 550 As = 50"5%2 As' = 50"5%2
d $ h/2 = 250
d $ d' = 500
0"5 & fc' & h & b & d $ h/2( ) As' & fy & d $ d'( 9%%,992,242"19 250"00
0"5 & fc' & h & b ) As ) As'( & fy !%#9%"9%#%#55
8/17/2019 Statis Momen
18/160
b = 250 fc' = 25 N/mm2
h = 500 fy = 400 N/mm2
d' = 40 D = 19 mm
As tul = 2!"52# mm2
d = h $ d'
d = 4%0 As = 50"5%2
As' = 50"5%2
d $ h/2 = 210
d $ d' = 420
0"5 & fc' & h & b & d $ h/2( ) As' & fy & d $ d'( #00,#10,9!"44 210"00
0"5 & fc' & h & b ) As ) As'( & fy !!!%#1"9%#%#55
b = 250 fc' = 25 N/mm2
h = 500 fy = 400 N/mm2
d' = 50 D = 19 mm
As tul = 2!"52# mm2
d = h $ d'
d = 450 As = 11!4"115 ==>PERHATAN JIKA TULA As' = 50"5%2
d $ h/2 = 200
d $ d' = 400
0"5 & fc' & h & b & d $ h/2( ) As' & fy & d $ d'( %%#,!4!,#9!"#5 19!"4!
0"5 & fc' & h & b ) As ) As'( & fy !4501!0"4%!5%214
8/17/2019 Statis Momen
19/160
b = 250 fc' = 25 N/mm2
h = %00 fy = 400 N/mm2
d' = 40 D = 19 mm
As tul = 2!"52# mm2
d = h $ d'
d = 5%0 As = 11!4"115
As' = 50"5%2
d $ h/2 = 2%0
d $ d' = 520
0"5 & fc' & h & b & d $ h/2( ) As' & fy & d $ d'( 1,005,%#1,9!1" 252"59
0"5 & fc' & h & b ) As ) As'( & fy !91!0"4%!5%214
8/17/2019 Statis Momen
20/160
8/17/2019 Statis Momen
21/160
NGAN TIDAK SERAGAM
ACER: ,ARA%AR @A RD ?U#// E/ #A,CD ,/E@ UNTUK MENCAPAI KESEIMBANGAN (LEBIH DEKAT KE AS YANG BESAR)
8/17/2019 Statis Momen
22/160
8/17/2019 Statis Momen
23/160
b = 250 mm fc' = 2# N/mm2
h = %00 mm fy = 400 N/mm2
d' = 50 mm D = 1% mm As tul = 201"0%192929# mm2
d = h $ d'
d = 550 mm As = ! D 1% %0!"15#9492
As' = ! D 1% %0!"15#9492
Statis Momen terhadap t!an"an tari#$ As %
d $ h/2 = 250 mm
d $ d' = 500 mm
d * = 0"5 & fc' & h & b & d $ h/2( ) As' & fy & d $ d'( = 91,2%2,15#"90 =
0"5 & fc' & h & b ) As ) As'( & fy !,925,04"%!
Statis Momen terhadap tepi atas &!o# te"' Te#an &eton %
d * = 0"5 & fc' & h & b & h/2( ) As' & fy & d'( ) As & fy & d( 11##51459"4##42 =
0"5 & fc' & h & b ) As ) As'( & fy !,925,04"%!
Statis Momen terhadap t!an"an te#an$ As( %
h/2 $ d' = 250 mm
d $ d' = 500 mm
d * = 0"5 & fc' & h & b & h/2 $ d'( ) As & fy & d $ d'( = 91,2%2,15#"90 =
0"5 & fc' & h & b ) As ) As'( & fy !,925,04"%!
8/17/2019 Statis Momen
24/160
Statis Momen terhadap titi# ) %
& = 125 mm d+- .+-s t+l +m+. bt 3 3+