bab i babon

7/21/2019 BAB I babon

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Tugas Perencanaan Struktur Baja 1

BAB I

PERHITUNGAN PANJANG BATANG

A C D E F G H B

1.5 m

I

L =8 x 1.5 = 12 m

B1 B2 B3 B4 B5 B6 B7

V1

A1

A2

A3

A4 A5

A6

A7

A8V7

B8

V6

D6

V5

D5D4

V4

V2

D1 D2 D3

V3

J

K

L

M

N

O

P

h = 3.2 m

a. Batang Bawah

B1 = B2 = B3 = B4 = B5 = B6 = B7 = B8

B1 !" B8 = 1#5 m

b. Batang Atas

$%&1α =

53#'

6

2#3==

AF

FM

α = 27#(2'

$% 27#(2' = x

y

$% 27#(2' = 5#1

y

) = '#8' m

*+ 27#(2' = 1 A

y

*+ 27#(2' = 1

8'#'

A

A1 = °(2#27*+

8'#'

A1 = 1#7' m

Angga Gaga Nugraha (107011041)




A1 = A2 = A3 = A4 = A5 = A6 = A7 = A8

A1 !" A8 = 1#7' m

c. Batang Vertikal

$% 27#(2' = x

V 1

$% 27#(2' = 5#1

1V

V1 = '#8' m

V1 = V7 = '#8' m

$% 27#(2' =,- 21

2

B B

V

+

$% 27#(2' =,5#15#1-

2

+

V

$% 27#(2' = 3

2V

V2 = 1#6 m

V2 = V6 = 1#6 m

V3 =22

AE AL −

=22

,5#1.3-,7#1.3- −

= 2#4 m

V3 = V5 = 2#4 m

V4 = 3#2 m

d. batang diagonal

D1 =2

2

2

2 V B +

=22

6#15#1 +

=56#225#2 +

= 81#4

= 2#1( m





D1 = D6 = 2#1( m

D2 =2

3

2

2 BV +

=22

5#16#1 +

=25#256#2 +

=81#4

= 2#1(3 m

D1 = D2 = D5 = D6 = 2#1(3 m

D3 =2

4

2

4 V B +

=22

2#35#1 +

=24#1'25#2 +

=4(#12

= 3#53 m

D3=D4 = 3#53 m

TABE PANJANG BATANG

NO BAANG PANJANG - m ,

1

2

3

45

6

7

8

(

1'

11

12

13

14

1516

A1

A2

A3

A4A5

A6

A7

A8

B1

B2

B3

B4

B5

B6

B7B8

1#7

1#7

1#7

1#71#7

1#7

1#7

1#7

1#5

1#5

1#5

1#5

1#5

1#5

1#51#5





17

18

1(

2'

21

2223

24

25

26

27

28

2(

D1

D2

D3

D4

D5

D6V1

V2

V3

V4

V5

V6

V7

2#1(

2#1(

3#53

3#53

2#1(

2#1('#8'

1#6

2#4

3#2

2#4

1#6

'#8'

P/m0/0++ )+% "*/h*$+%+

1. M$+ M$* $/"** "*

& B/$ /+"** %"*+%

& B/$ /+"** "&"

& B/$ /+"** 0*+%

& B/$ /+"** $ -0/ %/m0+% = B9G 24, PPI:83 h 12

2. M$+ H*"

M/+ 0/0+ $/$ -%!$,# "*m0* P = 1'' %!m2

3. M$+ A+%*+

D*$*+; "* ** "+ ++ )+%⊥

0*"+% %m0

!." Perhit#ngan Gording

qx

q qy





<+ %"*+% = [ 18 - m* ,

J +$ = 4#3 m

J %"*+% = 8

87654321 A A A A A A A A +++++++

=m7#1

8

8.7#1=

Bh+ $ = 11 % ! m2

K/m**+%+ $ = 27#(2'

A*0$ 0/0+ m$* ! /+"**

D*0 0; + [ 18

B/$ /+"** %"*+% - , = 22#' = 22#'

B/$ /+"** /+% %/m0+% = 1#7 x 11 = 18#7 >

4'#7 % ! m

?x = ? *+ x

= 4'#7 *+ 27#(2

= 1(#'5 % !m

?) = ? x

= 4'#7 27#(2

= 35#(6 % !m

Mm/+ *0$ 0/$ /+"**

Mx1 = 1!8 . ?x . L2

= 1!8 . 1(#'5 . 4#52

= 48#22 %.m

M)1 = 1!8 . ?) . L2

= 1!8 . 35#(6 . 4#52

= (1#'2 %.m

A*0$ 0/0+ h*" - P , = 1'' %

<+$ α = 27#(2

Px = P . *+ α = 1'' . *+ 27#(2 = 46#82

P) = P . α = 1'' . 27#(2 = 88#36

Mm/+ *0$ 0/0+ h*"





Mx2 = 1!4 . Px . L

= 1!4 . 46#82 . 4#5

= 52#67 %.m

M)2 = 1!4 . P) . L

= 1!4 . 88#36 . 4#5

= ((#4' %.m

A*0$ 0/0+ +%*+ @ "*m0* = 25 % ! m2 - ,

<+$ α = 27#(2

G) +%*+ $/+ = - '#'2 . α '#4 , .

= - '#'2 . 27#(2 '#4 , 25

= 3#(6 % !m2

G) +%*+ * = & '#4 .

= & '#4 . 25

= & 1' % ! m2

K/+ %) +%*+ $/+ ! * h%+) +% "* 25 % ! m 2# h% )+% "*m0*

m*+*mm 25 % ! m 2

/h*+%% C +%*+ $/+ ! * "*m0* 25 % ! m2

J"* ? +%*+ +$ α = 27#(2

? = 1#7 x 25

= 42#5 % ! m

Mm/+ *0$ 0/0+ +%*+

D*h*$+% h x ; /+ h +%*+ 0*"+% $

Mx3 = 1!8 . ? . L2

= 1!8 . 42#5 . 4#52

= 1'7#57 %.m

M)3 = '

$%$EN

$& $'

B/$ /+"**

Mx1 "+ M)1

48#22 %m

4822 %m

(1#'2 %m

(1'2 %m





B/0+ h*"

Mx2 "+ M)2

52#67 %m

5267 %m

((#4' %m

((4' %m

B/0+ +%*+

Mx3 "+ M)3

1'7#57 %m

1'757 %m

'

'

• Km0*+* /m0/0++

& +$ , "+ 0,

Mx = Mx1 > Mx2 = 4822 > 5267 = 1''8( %m

M) = M)1 > M)2 = (1'2 > ((4' = 1('42 %m

& <+$ , "+ ,

Mx = Mx1 > Mx3 = 4822 > 1'757 = 1557( %m

M) = M)1 > M)3 = (1'2 > ' = (1'2 %m

• K+$ $/%+%+ +$ m$ 0; BJ&4'

2%!7m16''

1.5

24''

1#5

D E

=

==

yijin

K+$ $/%+%+

& <+$ + %"*+% 18# m @

Ix = 135' m4

I) = 114 m4

x = 15' m3

) = 22#4 m3

m $/%+%+ = )

)

x

x

m

m +=

K+$ $/%+%+ +$ , "+ 0,

........OK ....................%!m16''%!m34#(17

22#4

1('42

15'

1''8(

22≤=

+=

K+$ $/%+%+ +$ , "+ ,




A

K

IGFEDC

O

N

M

L

P J

BH

440,562

440,562

/2

440,562

440,562

440,562 440,562

440,562

/2

440,562

440,562

VA VB


.......OK....................%!m16''%!m51'#1(

22#4

(1'2

15'

1557(

22≤=

+=

K+$ L/+"$+

m8#1

.45'25'

1

.L25'

1F 1'2#1E 6

=

=

=×=

m'#7(6

.45'.1141'48.2#1

46#82

.45'.1141'2#1

'#1('5

.384

5

.L48.E.I

P.L

E.I

?.

384

5

3

6

4

6

3

)

x4

)

x

x

=

×+×=

+=

m'#126

.45'.135'1'48.2#1

88#36.45'

.135'1'2#1

'#35(6.

384

5

L48.E.I

P.L

E.I

?.

384

5

3

6

4

6

3

x

)4

x

)

)

=

×+

×=

+=

J"* @ ' = x2

> )2

= '#7(62 > '#1262 = '#64(

= '#64( 1#8 m .OK

[ "** 0*%"*+%+"/m**+"/+%+ 18∴

I.( Analisa Perhit#ngan Ga'a Batang

. B/0+ m$*

B/0+ /+"** "&" = - L > 3 , .1#5 . 4#5

= - 12 > 3 , . 1#5 .4#5 = 1'1#25 %B/0+ /+% %/m0+% = 11 . 1#7 . 5 = (3#5 %

B/$ %"*+% = 22 . 4#5 = (( %

B/$ + = -11 > 7, . 1#5 . 4#5 = 121#5 %

B/$ 0+*+% = 25 0 "&"

= 25 1'1#25 = 25.312 %>

P $$ = 44'#562 %

= 44'#562

Angga Gaga Nugraha (107011041) Page




A C D E F G H I B

P

O

N

M

L

K

J50 50

100

100

100

100

100

100

100

VA VB

0. B/0+ h*"

Angga Gaga Nugraha (107011041) Page !




A C D E F G H I B

P

O

N

M

L

K

J

VA VB

. B/0+ A+%*+

M$+ +%*+ ? = 25 %!m2 = 27#(2O

& A+%*+ "/ ! $/+ P = - '#'2 '#4 , ?

= - '#'2 -27#(2, '#4 , 25

= 3#(6 %!m2

& A+%*+ h*! * P = -&'#4 . ? ,

= -&'#4 . 25 ,

= & 1' %!m2

• Ah +%*+ "* **! * *

& B/ +%*+ $/+ @

J*+$ A P = Q . 1#7 . 4#5 . 3#(6 = 15#147 %

J*+$ J P = 1#7 . 4#5 . 3#(6 = 3'#2(4 %





& B/ +%*+ *

J*+$ B P = Q .1#7 . 4#5 .-&1', = & 38#25 %

A C D E F G H I B

P

O

N

M

L

K

J

VBVA

J*+$ P P = 1#7 . 4#5 . -&1', = &76#5 %

M$+ +%*+ ? = 25 %!m2 = 27#(2O

& A+%*+ "/ ! $/+ P = - '#'2 '#4 , ?

= - '#'2 -27#(2, '#4 , 25

= 3#(6 %!m2

& A+%*+ h*! * P = -&'#4 . ? , = -&'#4 . 25 ,

= & 1' %!m2

• Ah +%*+ "* **! * *

& B/ +%*+ $/+ @

J*+$ A P = Q . 1#7 . 4#5 . 3#(6 = 15#147 %

J*+$ J P = 1#7 . 4#5 . 3#(6 = 3'#2(4 %

& B/ +%*+ *J*+$ B P = Q .1#7 . 4#5 .-&1', = & 38#25 %





J*+$ P P = 1#7 . 4#5 . -&1', = &76#5 %

& A+%*+ ++

A C D E F G H I B

P

O

N

M

L

K

J

VBVA

M$+ +%*+ ? = 25 % = 27#(2

& A+%*+ D/! /+ P = -'#'2 . '#4 , ?

= - '#'2 . 27#(2 '#4 , 25

= 3#(6 %!m2

& A+%*+ H*! I P = -&'#4 . ? ,

= -&'#4 . 25 ,

= & 1' %





• Ah +%*+ "* ++ ! ++ *

& B/ +%*+ $/+

J*+$ A P = Q . 1#7 . 4#5 . 3#(6 = 15#147 %

J*+$ J P = 1#7 . 4#5 . 3#(6 = 3'#2(4 %& B/ +%*+ *

J*+$ B P = Q .1#7 . 4#5 .-&1', = & 38#25 %

J*+$ P P = 1#7 . 4#5 . -&1', = &76#5 %

)o*binasi Pe*bebanan Unt#k SAP 2000 Versi.14

<+$ /m0/0++ " +* /h AP 2''' 0/0+ )+% "*m+ $/m 0/$/+"** $$# "m h *+* $ m/+%%++ 0h+ B;.

D/+%+ m/+%%++ m0*+* /m0/0++ /0%* 0/*$

1#2 D > 1#6 L > '#8 9

tang

BebanHid#+ Beban$ati BebanAngin)iri BebanAngin)anan )o*bi

/+

-&,

*

->,

/+

-&,

*

->,

/+ -&, * ->, /+ -&, * ->, /+ -&,

A1 7(7#75 & 3('4#(7 & & 175#14 & 64#(2 577'#31

A2 686#34 & 335(#63 & & 175#72 & 65#3( 4(36#81

A3 687#13 & 3363#51 & & 15'#71 & 15'#(5 48(4#2(

A4 458#'( & 2242#34 & & 175#(8 & 65#28 323'#74

A5 458#'( & 2242#34 & & 65#28 & 176#(8 323'#74

A6 687#13 & 3363#51 & & 15'#(5 & 15'#71 48(4#2(

A7 686#34 & 335(#63 & & 65#3( & 175#72 4(36#81

A8 7(7#75 & 3('4#(7 & & 64#(2 & 175#14 ,--/(!

B1 & 716#87 & 35'(#'7 & 27(#'2 468#'8 & &

B2 & 716#87 & 35'(#'7 & 27(#'2 468#'8 & &

B3 & 515#16 & 2521#67 & 232#71 314#71 & &

B4 & 515#16 & 2521#67 & 232#71 314#71 & &

B5 & 515#16 & 2521#67 & 133#'3 215#'3 & &





B6 & 716#87 & 2521#67 & 133#'3 215#'3 & &

B7 & 716#87 & 35'(#'7 2'#34 & 168#72 & &

B8 & 716#87 & 35'(#'7 2'#34 0 168#72 & &

D1 1'(#82 & 537#57 & 26#24 & & 84#(6 773#82

D2 & 181#(8 & 8('#77 & 4'#13 136#'3 & &

D3 181#(8 & 8('#77 & 4'#11 & & 136#(6 !"1(/2!

D4 181#(8 & 8('#77 & & 135#(6 4'#11 & !"1(/2!

D5 & 181#(8 & 8('#77 136#'3 & & 4'#13 &

D6 1'(#82 & 537#57 & & 84#(6 26#24 & 773#87

V1 ' ' ' ' ' ' ' ' '

V2 1'1#82 & 4(8#4' & 21#57 & 74#85 ' 718#36

V3 ' ' ' ' ' ' ' 78#24 '

V4 & 3'' & 1468#5' 7(#'' 7( & ' '

V5 ' ' ' ' ' & & & '

V6 1'1#82 & 4(8#4' & & 74#85 21#57 & 718#36

V7 ' ' ' ' ' ' ' ' '

BAB II

PEHI<NGAN DIMENI POFIL BAJA

2.1. B$+% Bh -01 !" 08,

P mx 4532#86 % -$*,

P+;+% B$+% 15' m

D*m0* * 45.45.5

B/$ QR = 1#27 m

L0+% 0$ = 1#37 m

F 0$ = 4#3' m

F +/$$ = 4#3' 1#37 x '#5 = 3#615

σ $ = 615#3

4532#86

= 1253#(' %!m2 S 16'' %!m2 O

2.2. B$+% -1 !" 8,

P mx 5137#24 % -$/+,





P+;+% B$+% 17' m

D*m0** 5'.5'.5

B/$ QR = 1#27 m

L0+%0$ = 1#37 mF 0$ = 4#8' m

F +/$$ = 4#8' 1#37 x '#5 = 4#115

*m*+ = √ I

A= √

11,0

4,80= 1#51

T = Lk

I min=

170

1,51= 112#58

T % = U.

√

E

0,7∗σl

= 3#14.

√

2,10.106

0,7∗2400

= 111#'1

T = λ

λg=

112,58

111,01 = 1#'1

=1,41

1,593. T =

1,41

1,593. 1#'1 = '#8(

$/+ = . Pmax

Fnetto= '#8( .

5137,24

4,115

= 1111#'( %!m2 S 16'' %!m23 O

2.3. B$+% D*%+ I -"2 "5,

P mx 1521#16 % -$*,

P+;+% B$+% 21( m

D*m0* * 25.25.3

B/$ QR = 1#27 m

L0+% 0$ = 1#37 m

F 0$ = 1#42 m

F +/$$ = 1#42 1#37 x '#3 = 1#''(

σ $ = 1#''(

1521#16

= 15'7#5( %!m2 S 16'' %!m2 O

2.4. B$+% D*%+ II -"1#"6,

P mx 1521#16 % -$*,

P+;+% B$+% 21( m

D*m0* * 3'.3'.5





B/$ QR = 1#27 m

L0+% 0$ = 1#37 m

F 0$ = 2#78 m

F +/$$ = 2#78 1#37 x '#5 = 2#'(5

*m*+ = √ I

A= √

2,16

2,78= '#88

T = Lk

I min =

219

0,88= 248#8

T % = U . √ E

0,7∗σl = 3#14 . √

2,10. 106

0,7∗2400 = 111#'1

T = λ

λg=

248,8

111,01 = 2#24

= 1,41

1,593T =

1,41

1,593 . 2.24 = 1#(8

$/+ = . Pmax

Fnetto= 1#(8 .

1521,16

2,095

= 1437#65 %!m2 S 16'' %!m23 O

2.5. B$+% D*%+ II -"3#"4,

P mx 1521#16 % -$*,

P+;+% B$+% 353 m

D*m0* * 4'.4'.6

B/$ QR = 1#27 m

L0+% 0$ = 1#37 m

F 0$ = 4#48 mF +/$$ = 4#48 1#37 x '#6 = 3#458

*m*+= √ I

A= √

6,33

4,48= 1#18

T = Lk

I min =

353

1,18= 2((#15

T % = U. √ E

0,7∗σl = 3#14 . √

2,10.106

0,7∗2400 = 111#'1

T = λ λg

= 299,15111,01

= 2#6(





= 1,41

1,593 . T =

1,41

1,593. 2#6( = 2#38

$/+ = . Pmax

Fnetto = 2#38 .

1521,16

3 ,458

= 1'46#(5 %!m2 S 16'' %!m23 O

2.6. B$+% V/$* I -W2 W6,

P mx 688#67 % -$/+,

P+;+% B$+% 16' m

D*m0* * 3'.3'.4

L = 16' x '#5= 8'

F 0$ = 2#27 m

F +/$$ = 2#27 1#37 x '#4 = 1#72

*m*+ = √ I

A= √

1,81

2,27= '#8(

T = Lk

I min =

80

0,89= 8(#88

T % = U. √ E

0,7∗σl = 3#14. √

2,10.106

0,7∗2400 = 111#'1

T = λ

λg=

89,88

111,01 = '.8'

= 1,41

1,593T =

1,41

1,593.'#8' = '#7'

$/+ = . Pmax

Fnetto= '#7'.

688,67

1,72

= 28'#27 %!m2S 16'' %!m23 O

2.7. B$+% V/$* II -W4,

P mx 688#67 % -$*,

P+;+% B$+% 32' m

D*m0* * 25.25.5

B/$ QR = 1#27 m

L0+% 0$ = 1#37 m

F 0$ = 2#26m

F +/$$ = 2#26 1#37 x '#5 = 1#575





σ $ = 575#1

688#67

= 437#25 %!m2 S 16'' %!m2 O

BAB III

PERHITUNGAN BAUT

D*%++ B$ φ QR = 1#27 m

P/$ Bh $/0 1' mm

P %// = 2 . X π 1#27 . '#7 . γ

= 2 . X π . 1#27 . '#7 . 16''

= 2233#16 %

P $m = $ . " . 1#4 . γ

= 1 . 1#27 . 1#4 . 16''

= 2844#8 %

P )+% m/+/+$+ *h P = 2233#16 % -P m*+,

K/$/+%+ @ P "m $+ -%,

Angga Gaga Nugraha (107011041) Page 1




*$*

Bh 1

B$+% 1 → P = 5137#24 → + = 2233#16

5137#24

= 2#3' = Y 3 0$

B$+% 01 → P = 4532#86 → + =

2233#16

4532#86

= 2#'2 = Y 3 0$ *$* Bh 2

27#'2233#16

4532#865137#24

4532#861B$+%

5137#24=1B$+%=

+−=

=→

=→n

P b

P a

= Y 1 0$

B$+% W1 → P = '

*$* Bh 3

77#316#2233

23#388786#4532

23#38872B$+%

4532#861B$+%=

+=

=→

=→n

P b

P b

= Y 4 0$

B$+% "1 → P = 1521#16 → + = 16#2233

1521#16

= '#681 = Y 1 0$

*$* Bh 4

(4#316#2233

81#367324#5137

81#36733B$+%

24#51372B$+%−=

+−=

=→

=→n

P a

P a

= Y 4 0$

B$+% W2 → P = (7#6 → + = 16#2233

6#(7

= '.'4 = Y 1 0$

B$+% "2 → P = (43#(( → + = 16#2233

((#(43

= '#422 = Y 1 0$

*$* Bh 5

48#316#2233

23#388723#3887

23#38873B$+%

23#38872B$+%=

+=

=→

=→n

P b

P b

= Y 4 0$

Angga Gaga Nugraha (107011041) Page 1!




B$+% W2 → P = = (7#6 → + = 16#2233

6#(7

= '.'4 = Y 1 0$

*$* Bh 6

2(#316#2233

81#367381#367381#36734B$+%81#36733B$+% =−=

=→=→ n

P a P a

= Y 4 0$

B$+% W3 → P = 688#67 → + = 16#2233

67#688

= '#3'8 = Y 1 0$

*$* Bh 7

('#216#2233

(6#25(523#3887

(6#25(54B$+%

23#38873B$+%=

−=

=→

=→n

P b

P b

= Y 3 0$

B$+% "2 → P = (43#(( → + = 16#2233

((#(43

= '#422 = Y 1 0$

B$+% W3 → P = 688#67 → + = 16#2233

67#688

= '#3'8 = Y 1 0$

B$+% "3 → P = 1521#16→ + = 16#2233

16#1521

= '#681 = Y 1 0$

*$* Bh 8

2(#316#2233

81#367381#3673

81#36735B$+%

81#36734B$+%=

−=

=→

=→n

P a

P a

= Y 4 0$

B$+% "3 → P = 1521#16 → + = 16#2233

16#1521

= '#681 = Y 1 0$

B$+% W4 → P = 2(4#86 → + = 16#2233

86#2(4

= '#132 = Y 1 0$

B$+% "4 → P = 1521#16→ + = 16#223316#1521

= '#681 = Y 1 0$

*$* Bh (

32#216#2233

(6#25(5(6#25(5

(6#25(55B$+%

(6#25(54B$+%=

+=

=→

=→n

P b

P b

= Y 3 0$

B$+% W4 → P = 2(4#86 → + = 16#2233

86#2(4

= '#132 = Y 1 0$


bab i babon

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