44111381-Tugas-Kayu-Tipe-A.doc

Struktur Kayu

DAFTAR ISI

BAB I PERHITUNGAN PERHITUN GAN PANJANG RANGKA RANGK A BATANG BATANG 1.1. Data Teknis

1

1.2. 1.2. Perh Perhit itun unga gann Pang Pangja jang ng Bata Batang ng

1

1.3. 1.3. Tee! e! Panj Panjan angg Bata Batang ng

2

BAB II PEREN"ANAAN G#RDING 2.1. 2.1. Perh Perhit itun unga gann G$r% G$r%in ingg

3

2.2. Pe&eanan

3

2.2.1. 2.2.1. Bean Bean &ati

3

2.2.2. 2.2.2. Bean Bean hi%u' hi%u'

(

2.2.3. 2.2.3. Bean Bean angin angin

)

2.2.(. 2.2.(. K$&inas K$&inasii ean ean

*

2.3. 2.3. K$nt K$ntr$ r$!! Di&e Di&ens nsii G$r% G$r%in ingg

*

2.3.1. 2.3.1. Akiat Akiat ean ean teta'

*

2.3.2. 2.3.2. Akiat Akiat ean ean se&entara se&entara

+

2.(. 2.(. K$nt K$ntr$ r$!! !en% !en%ut utan an

+

BAB III PERHITUNGAN PE,BEBANAN PADA BATANG KUDA-KUDA 3.1

Akiat ean teta'



3.2 3.2

Aki Akiat at Bea Beann P!a/ P!a/$n $n%% %an %an Peng Pengga gant ntun ungg

0

3.3

Aki Akiaat Bea Beann Angin gin

1

3.3.1 3.3.1 Bean Bean angin angin kiri kiri

11

3.3.2 3.3.2 Bean Bean angin angin kanan kanan

12

BAB I DI,ENI BATANG KUDA-KUDA (.1. (.1.

Di& Di&ensi Bata Batang ng Tekan kan

1

(.2. (.2.

Di& Di&ensi Bata Batang ng Tarik rik

21

BAB  PEREN"ANAAN A,BUNGAN ).1.

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).2.

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).3.

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33

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Titik i&'u! H

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).*.

Titik i&'u! I

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).+.

Titik i&'u! J

30

Created by Komang Martana

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Struktur Kayu

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Struktur Kayu

D (

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H 2

21

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Struktur Kayu

BAB I PERHITUNGAN PANJANG RANGKA RANG KA BATANG BATA NG BATANG

1.1. Data Te Teknis.

1. Panjang entang

8 129 &

2. Jarak ku%a-ku%a

8 39 &

3. ,utu ka:u

8 Ke!as I

(. Jenis ata'

8 genteng

). Ke&iringan ata'

8 3) °

*. A!at 'en:a&ung

8 Baut

+. Peratu ratura rann :a :ang %i'a i'akai

8 PKK PKKII NINI-)) 10 10*1 ; PPI PPIUG UG 103 03

1.2. Perhitungan Panang Batang. 

D

3 ) 7

A

D"

Tan 3)° <

D"

A"

*

D" < * Tan 3) ° < (92 &

"

*&

Tan α <

Panjang Batang 23 < (92 &

Panjang AD < <

A"2 *2

+

+

D" 2

(922

< +932( & +932(



Panjang atang 1;2;3;(;);*;+; <



Panjang atang 0;1;11;12;13;1(;1);1* 0;1;11;12;13;1(;1);1* <



Panjang atang 21 %an 2) : (9)



=

(

< 1931 & * (

< 19) &

(92 ↔: < 391) & *

Panjang atang 10;2+


1

Struktur Kayu

:

=

(92

3 

*

↔:

< 291 &

Panjang atang 1+;20 : 19)

=

(92 *

↔:

< 19) &



Panjang atang 22;2( <



Panjang atang 2;2* <

291 2



Panjang atang 1;2 <

19)

391) 2

+

2

19) 2

+

< 39(0 &

19) 2

< 29) &

2

< 193 &

+

19)

1.!. Ta"e# Panang Batang.


2

BAB II PEREN$ANAAN G%RDING

2.1. Perhitungan G&r'ing.

Di5$a %engan g$r%ing =12 I: <

1 12

. 3 . h

<

1 12

. 3 . 12 < )12 5& (

& 5 2 1

(&'u#us Tahanan *  5&

?><

1 *

.  . h2

<

1 *

.  .122 < 102 5&3

?:<

1 *

. 2 . h

<

1 *

. 2 . 12 < 12 5& 3

(&)en Inersia *

I> <

1 12

<

1 12

. .h

3

.  . 12

3

< 11)2 5& (

2.2. Pe)"e"anan. 2.2.1. Be"an (ati.

Ukuran ka:u

8 =12

Bj ka:u @Bangkirai  8 01 kg=&3 Berat ata' @genteng 8 ) kg=&2 Jarak g$r%ing @ %  8 1931 & a. Berat en%iri  <  > h > Bj < 9* > 912 > 01 < *9))2 kg=& . Berat Ata'  < % > erat ata' @genteng < 1931 > ) < 019)) kg=&

5. Bean ,ati T$ta! t$t < Berat sen%iri C Berat ata' < *9))2 C 019)) < 0912 kg=& %. Ga:a :ang ekerja %iuraikan terha%a' su&u > %an su&u : : >

a $ s 5 : B

a i n s > B 3 ) 7

B

Bean :ang ekerja 'a%a su&u >8 > <  sin α < 0912 sin 3) ° < )*92*0 kg=& Bean :ang ekerja 'a%a su&u :8 : <  5$s α < 0912 5$s 3) ° < 93* kg=& e. Perhitungan &$&en ,>< <

1

. > . 62

. 1 .

. )*92*0 . 3 2 < *3933 kg&

,:<  karena untuk ata' genteng9 &$&en arah : %itahan $!eh usuk9 sehingga &$&en arah : ke5i! %an %a!a& 'erhitungan %iaaikan. Da!a& &en%i&ensi g$r%ing :ang %i'erhitungkan han:a &$&en akiat angin tekan9 se%angkan &$&en akiat angin isa' ti%ak %i'erhitungkan. Da!a& kasus ini ,:F 2.2.2. Be"an Hi'u+.

Da!a& 'eren5anaan g$r%ing9 ean hi%u' :ang %ia&i! P < 1 kg9 ekerja %itengah-tengah entang.

: >

P >

P : 3 ) 7

B

a. Bean hi%u' terha%a' su&u > 8 P> < P sin α < 1 sin 3) ° < )+93) kg=& . Bean hi%u' terha%a' su&u : 8 P: < P 5$s α < 1 5$s 3) ° < 1901) kg=& 5. Perhitungan &$&en ,> <

1 (

. P> . 6

<

1 (

. )+93) . 3 < (3910 kg&

2.2.!. Be"an Angin.

Tekanan tiu' @? < ( kg=&2  Ba ( PPIUG3 'asa! (.2. a:at @29 ha! 22F  < 3)$. K$e/isien angin untuk ata' %engan ke&iringan 3) ° a. K$e/isien angin 8 Angin tekan 5 1

< 92 . α  9( < 92 . 3)  9( < 93

Angin isa' 5 2

< -9(

. Bean Angin Tekan t < ? . 5 1 . jarak g$r%ing < ( . 93 . 1931 < 2190+2 kg=& 5. Bean Angin Isa' i < ? . 5 2 . jarak g$r%ing

< ( . @ -9(  . 1931 <  20920* kg=& &e&'erke5i! ean se&entaraF %. Perhitungan &$&en Angin tekan 8 1

,> <

.

. t . 6 2 <

1

. i . 6 2 <

1

.

. 2190+2 . 32 < 2(9+10 kg&

Angin Isa' 8 1

,> <

.

.

. @-20920* . 32 < - 3290) kg&

2.2.,. K&)"inasi Be"an.

1. Bean teta'

< ean &ati C ean hi%u' ,> < *3933 C (3910

< 1*9322 Kg&

< 1*32 Kg5&

,: <  2. Bean se&entara < ean teta' C ean angin Angin tekan8 ,> < 1*9322 C 2(9+10

< 1319(1 Kg&

< 131( Kg5&

< +393*( Kg&

< +33*9( Kg5&

,: <  Angin tarik8 ,>

< 1*9322 C @- 3290)

,:

<

Ja%i %a'at %isi&'u!kan &$&en akiat angin tekan  &$&en akiat angin isa'=tarik. ,aka %a!a& 'erhitungan %i'ergunakan &$&en :ang teresar. 2.!. K&ntr&# Di)ensi G&r'ing. 2.!.1. Aki"at "e"an teta+. σ !t

< 1) kg=5&2.

,> < 1*32 Kg5&. ,: <  Kg5&. ?> < 102 5&3. ?: < 12 5&3. 

< <

,> ?:

+

,: ?>

1*32 12

+

L

σ !t

 102

L 1) kg=5&2

< 39*3 - 1) Kg=5&2 %K/

2.!.2. Aki"at "e"an se)entara. σ !t

<

)

×

(

1) kg=5&2 < 1+9) kg=5& 2.

,> < 131( Kg5&. ,: <  Kg5&. ?> < 102 5&3. ?: < 12 5&3. 

< <

,> ?:

+

,: ?>

131(

σ !t



+

12

L

102

L 1+9) kg=5&2

< 1293+) L 1+9) kg=5& 2

%K/

2.,. K&ntr&# 0en'utan.

Data 'erhitungan8 > < )*92*0 kg=& < 9)*2*0 kg=5& : < 93* kg=& < 93* kg=5& P> < )+93) kg P: < 1901) kg I> < 11)2 5& ( I: < )12 5&( E < 12). kg=5& 2 /1 < <

) 3( ) 3(

. .

B>@6> ( E.I:

C

1 (

.

9)*2*0 × @3 ( 12) × )12

P> @ 6>  3 E.I:

C

1 (

.

< 902+ C 9)( < 19(31 5& /2 <  / t$t <

/ 1

/ t$t <

19(312

2

+

/ 2

+

2

2

≤

1=2 . 6

≤

1 × 3 5& 2

/ t$t < 19(31 ≤ 19) 5& #KF

)+93) × @3 12) × )12

3

BAB III PERHITUNGAN PE(BEBANAN PADA BATANG KUDAKUDA

!.1. Aki"at Be"an Teta+. 1. Berat sen'iri ku'aku'a.

,isa!kan %i&ensi ka:u :ang %igunakan *=12 Pk <  > h > BJ > 'anjang ka:u kese!uruhan < 9* > 912 > 01 > )092) < 392* kg 2. Berat sen'iri ata+.

Pa < M@genteng C usuk C reng > jarak ku%a-ku%a > jarak g$r%ing < ) > 3 > 1931 < 2+(9*) Kg !. Berat sen'iri g&r'ing.

Pg < Di&ensi ka:u > jarak ku%a-ku%a > Bj ka:u < 9 > 912 > 3 > 01 < 2*92 kg ,. Be"an hi'u+.

Ph < 1 Kg. . Aki"at +en3a)"ungan @

Ps < 2  > Pk < 2  > 392* Kg < ++9*(1 Kg

untuk aut %i'erkirakan 2  .

P1 P1

P1 D

P1 P1

(

P1

)

3

P1

* 23

P2

2 10

1 1+

A

22

21

2(

2

2*

2+



1

0

2

1

11

12

"

13

1(

1)

12 5&

@ Pk + Ps

P1 < Pa C Pg C

Ju&!ah titik si&'u!

CPh

@392* + ++9*(1

< 2+(9*) C 2*92 C

1*

C 1

< (2090+3 Kg

P2 <

1 2

<

1 2

Pa C Pg C

1 2

@ Pk + Ps 

Ju&!ah titik si&'u!

2+(9*) C 2*92 C

1 2

CPh

@392* + ++9*(1 1*

< 2+901 Kg. R A < R B < <

1 2 1 2

@2.P2 C +.P1 @2.2+901 C +.(2090+3

< 1+2900+ kg !.2. Aki"at Be"an P#a4&n' 'an Penggantung.

Berat '!a/$n% @'!:M$$%

< 11 Kg=&2.

Berat 'enggantung

< + Kg=& 2.  < 1 Kg=&2.

P1 <  > jarak &en%atar > jarak ku%a-ku%a < 1 > 19) > 3 < 1 Kg P2 <

1 2

P1

<

1 2

> 1 < (9) Kg

P2

+

2)

C1

20 1*

B

D (

)

3

* 23

2

21 10

1 1+

A

2(

+

2)

2

2*

2+

1

0

P2

22

1

P1

11

P1

12

P1

"

13

P1

1(

P1

1 2

@2.P2 C +.P1

<

1 2

@2.(9) C +.1

P1

< 32( Kg. !.!. Aki"at Be"an Angin.

? < ( Kg=&2@Ba ( PPIUG3 'asa! (.2. a:at@29ha! 22 

< 3)$

t < 2190+2 kg=& i <  20920* kg=& - K$e/isien angin @tekan 5 1 < 92  9( < 92.3)  9( < 93 - K$e/isien angin @isa' 52 •

Akiat angin tekan ?t

< t > jarak ku%a-ku%a < 2190+2 > 3 < *)901* Kg

1 2

•

?t < 3290) Kg

Akiat angin isa' ?i

< i > jarak ku%a-ku%a <  20920* > 3 < +9 Kg

1 2

?i < (390(( Kg

< -9(

20

1)

12 5&

R A < R B <

 2

1*

P1

B

P2

!.!.1. Be"an angin kiri. 1 2?t

1 2?i

D

?t

( ?t 5$s 3)

?t

?i

)

J

?i 5$s 3)

6

3 ?t

?t sin 3)

23

2

21 10

1 1+

A

3 ) 7

0

*

H

4

1 2?t

22

E

?i sin 3) ?i

N 2(

+

2)

P

2

2*

 2

G

11

I

12

"

13

K

1(

1 2?i

2+

1 1

?i

,

1)

20

#

1*

B

12 5&

O ?t < ( > ?t

O ?i

< ( > ?i

< ( > *)901*

< ( > +9

< 2*39**( Kg

< 3)19))2 Kg

O ?t 5$s  < 2*39**( 5$s 3) $

O ?i 5$s  < 3)19))2 5$s 3) $

< 21)901 Kg O ?t sin  < 2*39**( sin 3) $

< 2+90+) Kg O ?i sin  < 3)19))2 sin 3)$

< 1)19231 Kg

< 219*(2 Kg

O ,B <  ; %i&isa!kan R A F < R A.12  O ?t 5$s  . 0 C O ?t sin  . 291 C O ?i sin  . 291 C O ?i 5$s  . 3 < R A.12  21)901 . 0 C 1)19231 . 291 C 219*(2 . 291 C 2+90+) . 3 < R A.12  10(3920 C 31+9)) C (239(( C *3902) < R A.12  339+1 R A <

339+1 12

< 29230 Kg F

O ,A <  ; %i&isa!kan R B F < R B.12 C O ?t 5$s  . 3 C O ?t sin  . 291 C O ?i sin  . 291  O ?i 5$s  . 0 < R B.12 C 21)901 . 3 C 1)19231 . 291 C 219*(2 . 291  2+90+) . 0 < R B.12 C *(+90(3 C 31+9)) C (239((  2)019++) < R B.12  1229+00

R B

<

−

1229+00 12

< 19233 Kg QF

OH <  < AH C O ?t sin  C O ?i sin  < AH C 1)19231 C 219*(2 < AH C 3)29+3 AH <  3)29+3 Kg  F K$ntr$!8 O

< RA C R B  O ?t 5$s  C O ?i 5$s  < 29230 C @ 19233  21)901 C 2+90+) <  Kg

!.!.2. Be"an angin kanan. 1 2?t

1 2?i

D

?i

( ?i 5$s 3)

?i

?t

)

J

6

3 ?i ?i sin 3)

23

2

21 10

1 1+

3 ) 7

A

0

E

?t

*

H

4

1 2?i

?t 5$s 3)

22

N 2(

2

P 2*

2+

11

I

12

"

13

K

1(

,

1 2?t

 2

G

?t

+

2)

1 1

?t sin 3)

1)

20

#

B 1*

12 5&

O ?t < ( > ?t

O ?i

< ( > ?i

< ( > *)901*

< ( > +9

< 2*39**( Kg

< 3)19))2 Kg

O ?t 5$s  < 2*39**( 5$s 3) $ < 21)901 Kg O ?t sin  < 2*39**( sin 3) $ < 1)19231 Kg

O ?i 5$s  < 3)19))2 5$s 3) $ < 2+90+) Kg O ?i sin  < 3)19))2 sin 3)$ < 219*(2 Kg

O ,B <  ; %i&isa!kan R A F < R A.12 C O ?i 5$s  . 0  O ?i sin  . 291  O ?t sin  . 291  O ?t 5$s  . 3

< R A.12 C 2+90+) . 0  219*(2 . 291  1)19231 . 291  21)901 . 3 < R A.12 C 2)019++)  (239((  31+9))  *(+90(3 < R A.12 C 1229+00 R A <

−

1229+00 12

<  19233 Kg QF

O ,A <  ; %i&isa!kan R B F < R B.12 C O ?t 5$s  . 0  O ?t sin  . 291  O ?i sin  . 291  O ?i 5$s  . 3 < R B.12 C 21)901 . 0  1)19231 . 291  219*(2 . 291  2+90+) . 3 < R B.12 C 10(3920  31+9))  (239((  *3902) < R B.12 C 339+1 R B

<

339+1 12

< 29230 Kg F

OH <  < BH C O ?t sin  C O ?i sin  < BH C 1)19231 C 219*(2 < BH C 3)29+3 AH <  3)29+3 Kg  F K$ntr$!8 O

< RA C R B  O ?t 5$s  C O ?i 5$s  <  19233 C 29230  21)901 C 2+90+) <  Kg

TABE0 REKAPITU0ASI GA5A BATANG

K%NTR%0 (ENGGUNAKAN TITIK SI(PU0

1. AKIBAT BEBAN TETAP a.

Titik i&'u! A 4 15$s a

1

P2

3 1 s i n

3 ) 7

A

a

E

0

RA

R A < 1+2900+ Kg P2 < 2+901 Kg O <  R A  P2   1 sin 3)

<

1+2900+  2+901  1 sin 3) <  1

<

1)(90* sin 3)

< 2*2(92( Kg tekanF Pa%a 'erhitungan %engan AP < 2*2(92( Kg #KF OH <  1 5$s 3)   0

<

2*239+2( 5$s 3)   0

< 0

< 21(09* Kg tarikF

Pa%a 'erhitungan %engan AP < 21(09* Kg #KF .

Titik i&'u! E 4

1+

A

0

E

1

G

O <  1+ <  Kg Pa%a 'erhitungan %engan AP <  Kg #K F

OH <  0  1

<

21(09220   1 <  1 < 21(09* tarikF Pa%a 'erhitungan %engan AP < 21(09* Kg #KF 2. AKIBAT BEBAN P6A4#ND R A < 32( Kg P2 < (9) Kg P1 < 1 Kg a.

Titik i&'u! A 4 15$s a

P2

1 3 ) 7

A

3 1 s i n a

0

E

RA

O <  R A  P2   1 sin 3)

<

32(  (9)  1 sin 3)

< 1

<

239) sin 3)

< (0(93+ Kg tekanF Pa%a 'erhitungan %engan AP < (0(93+ Kg #KF OH <  1 5$s 3)   0

<

(0(92*+ 5$s 3)   0

< 0

< ()9 Kg tarikF

Pa%a 'erhitungan %engan AP < ()9 Kg #KF

.

Titik i&'u! E

4

1+

A

E

0

1

G

P1

O <  1+  P1 <  1+  1 <  1+ < 1 Kg tarikF Pa%a 'erhitungan %engan AP < 1 Kg #K F OH <  0  1

<

((9  1 <  1 < ()9 tarikF Pa%a 'erhitungan %engan AP < ()9 Kg #KF

BAB I6 DI(ENSI BATANG KUDAKUDA

,.1. Di)ensi Batang Tekan. a. Batang 1 7 2 7 ! 7 , 7  7 8 7 9 7 :

P&a> ean teta'

< 3119*1 Kg

P&a> ean se&entara < 3129+ Kg Panjang atang @!k

< 13 5&

Di5$a %i&ensi =1) I> <

1 12

 . h3 <

1 12

 . 1)3 < 22) 5&(

I: <

1 12

3 . h<

1 12

3 . 1)< *( 5& (

4 <  . h <  . 1) < 12 5&2 I:

i&in <  < 

<

4

!k i &in

13

<

2930

*( 12

< 2930

i&in < jari-jari !e&a& &ini&u&F

< +092))  < angka ke!angsinganF

4akt$r tekuk8 PKKI NI-) 10*1 %a/tar III ha! 1F S < 2911  tegangan tekuk :ang %i'erkenankan  tk L *2Kg=5& 2.



K$ntr$! tegangan8 Akiat ean teta'8 P.ω 4

L tk

3119*1 . 2911 12

L *2 Kg=5&2

)(93* L *2 Kg=5&2 #K F Akiat ean se&entara8 P.ω 4

L

) (

tk

3129+ . 2911 12

L

) (

.*2 Kg=5&2

)(9+( L ++9) Kg=5&2 #K F ". Batang 1: 7 2:


< (()9)1 Kg

P&a> ean se&entara < )1)9** Kg Panjang atang @!k

< 13

5&

Di5$a %i&ensi *=12 I> <

1 12

 . h3 <

1 12

* . 123 < *( 5& (

I: <

1 12

3 . h<

1 12

*3 . 12< 21* 5& (

4 <  . h < * . 12 < +2 5& 2 I:

i&in <  < 

4

!k i &in

21*

< <

13 19+32

< 19+32

+2

< 1)9*)

4akt$r tekuk8 S < 39(3  tegangan tekuk :ang %i'erkenankan  tk L 3 Kg=5&2.




L tk

(()9)1 . 39(3

L 3 Kg=5&2

+2

21922( L 3 Kg=5& 2 #K F Akiat ean se&entara8 P.ω 4

L

) (

tk

)1)9** . 39(3 +2

L

) (

.3 Kg=5&2

2(9)*) L (+9) Kg=5& 2 #K F ;. Batang 2< 7 28


< *2+90( Kg

P&a> ean se&entara < +2*901 Kg Panjang atang @!k

< 2)

5&

Di5$a %i&ensi =1) I> <

1 12

 . h3 <

1 12

 . 1)3 < 22) 5&(

I: <

1 12

3 . h<

1 12

3 . 1)< *( 5& (

4 <  . h <  . 1) < 12 5&2 I:

i&in <  <



4

!k

<

i &in

*(

< 2) 2930

< 2930

12

< 1119+3+

4akt$r tekuk8 S < 390  tegangan tekuk :ang %i'erkenankan  tk L 33 Kg=5&2.



K$ntr$! tegangan8 Akiat ean teta'8 P.ω

L tk

4

*2+90( . 390

L 33 Kg=5&2

12

293)* L 33 Kg=5& 2 #K F Akiat ean se&entara8 P.ω

L

4

tk

) (

+2*901 . 390 12

L

) (

.33 Kg=5&2

239)*( L (192) Kg=5&2 #K F '. Batang 22 7 2,


< (902 Kg

P&a> ean se&entara < 029)0 Kg Panjang atang @!k

< 3(0

5&

Di5$a %i&ensi 1=1) I> <

1 12

 . h3 <

1 12

1 . 1)3

< 2129) 5& (

I: <

1 12

3 . h<

1 12

13 . 1)

< 12) 5& (

4 <  . h < 1 . 1) < 1) 5& 2 i&in <  < 

I:

<

4

!k i &in

<

3(0 29+

4akt$r tekuk8

12) 1)

< 129+

< 29+

S < (9*( tegangan tekuk :ang %i'erkenankan  tk L 2 Kg=5&2. 


L tk

(902 . (9*( 1)

L 2 Kg=5&2

2*92* L 2 Kg=5& 2 #K F Akiat ean se&entara8 P.ω 4

L

) (

tk

029)0 . (9*( 1)

L () .2 Kg=5&2

3930) L 3) Kg=5& 2 #K F ,.2. Di)ensi Batang Tarik. a. Batang = 7 1< 7 11 7 12 7 1! 7 1, 7 1 7 18


< 2))(9* Kg

P&a> ean se&entara < 209)0 Kg Panjang atang @!k

< 1) 5&

Tegangan tarik @tr 

< 13 Kg=5&2 PKKI NI-) 10*1 %a/tar II ha! *F

Di5$a %i&ensi *=12 Tinjau terha%a' ean teta' 4 rut$ < 2 .  . h < 2 . * . 12 < 1(( 5& 2 

4akt$r 'er!e&ahan akiat !uang aut 2)  4nett$ < @1  92) 4 rut$ < @1  92) 1(( < 1 5& 2



K$ntr$! tegangan P 4nett$

L tr

2))(9* 1

L 13 Kg=5&2

239*)* L 13 Kg=5& 2 #K F Tinjau terha%a' ean se&entara8




L

) (

tr

209)0 1

L

) (

13 Kg=5&2

)*9+*) L 1*29) Kg=5&2 #K F ". Batang 19 7 2=


< 1 Kg

P&a> ean se&entara < 1 Kg Panjang atang @!k

< 1) 5&

tegangan tarik @ tr 

< 13 Kg=5&2

Di5$a %i&ensi *=12 Tinjau terha%a' ean teta' 4 rut$ < 2 .  . h < 2 . * . 12 < 1(( 5&2 4akt$r 'er!e&ahan akiat !uang aut 2)  4nett$ < @1  92) 4 rut$ < @1  92) 1(( < 1 5& 2 

K$ntr$! tegangan P 4nett$ 1 1

L tr L 13 Kg=5&2

9+) L 13 Kg=5&2 #K F Tinjau terha%a' ean se&entara8 

K$ntr$! tegangan P 4nett$ 1 1

L

) (

tr

L

) (

13 Kg=5&2

9+) L 1*29) Kg=5& 2 #K F ;. Batang 1= 7 29


< 33*9(0 Kg

P&a> ean se&entara < 3+*9+2 Kg

Panjang atang @!k

< 21 5&


< 13 Kg=5&2

Di5$a %i&ensi *=12 Tinjau terha%a' ean teta' 4 rut$ < 2 .  . h < 2 . * . 12 < 1(( 5& 2 4akt$r 'er!e&ahan akiat !uang aut 2)  4nett$ < @1  92) 4 rut$ < @1  92) 1(( < 1 5& 2 

K$ntr$! tegangan P

L tr

4nett$

33*9(0

L 13 Kg=5&2

1

3911*

L 13 Kg=5& 2 #K F

Tinjau terha%a' ean se&entara8 

K$ntr$! tegangan P

L

4nett$

) (

tr

3+*9+2 1

L

) (

13 Kg=5&2

39( L 1*29) Kg=5& 2 #K F '. Batang 21 7 2


< )0190+ Kg

P&a> ean se&entara < *+29(3 Kg Panjang atang @!k

< 31) 5&


< 13 Kg=5&2

Di5$a %i&ensi *=12 Tinjau terha%a' ean teta' 4 rut$ < 2 .  . h < 2 . * . 12 < 1(( 5& 2 

4akt$r 'er!e&ahan akiat !uang aut 2)  4nett$ < @1  92) 4 rut$ < @1  92) 1(( < 1 5& 2



K$ntr$! tegangan

P

L tr

4nett$

)0190+

L 13 Kg=5&2

1

)9(1

L 13 Kg=5& 2 #K F


K$ntr$! tegangan P

L

4nett$

) (

tr

*+29(3

L

1

) (

13 Kg=5&2

*922* L 1*29) Kg=5& 2 #K F e. Batang 2!


< 1*13902 Kg

P&a> ean se&entara < 1)+39* Kg Panjang atang @!k

< (2 5&


< 13 Kg=5&2

Di5$a %i&ensi *=12 Tinjau terha%a' ean teta' 4 rut$ <  . h < * . 12 < +2 5& 2 

4akt$r 'er!e&ahan akiat !uang aut 2)  4nett$ < @1  92) 4 rut$ < @1  92) +2 < )( 5& 2




L tr

1*13902

L 13 Kg=5&2

)(

L 13 Kg=5& 2 #K F

209+



L

1)+39* )(

) (

tr L

) (

13 Kg=5&2

2091(2 L 1*29) Kg=5&2 #K F

D (

)

1 ) . =

J

. = 1 )

6

3

*

1 ) . =

23

H 4 1 = 1 ) .

A

*=12

0

1+

21

.

2>*=12

2>*=12

10

N

*=12

2 = 1 )

2>*=12 *=12

. = 1 )

2(

22

1=1)

1=1)

2)

. = 1 )

2>*=12

2

=1)

=1)

2*

2+

2>*=12

1

*=12

E

1

G

11

*=12

I

12

*=12

"

13

1) >  < 12 5&

K

*=12

1(

,

P

*=12 2>*=12

2 *=12

+

*=12

1)

20

#

. = 1 )



*=12

1*

B

BAB 6 PEREN$ANAAN SA(BUNGAN

Data k$n%isi ka:u :ang %igunakan a%a!ah 8 -

Ka:u ke!as I

-

Tegangann:a %iakiatkan $!eh ean teta' %an ean se&entara

-

K$nstruksi ter!in%ung

Data tegangann:aPKKI NI-) 10*19 %a/tar II9 ha!a&an *F8 -

K

!t

< 1) .

) (

-

K

tr

< 13 .

) (

-

K

tk

-

V

==

< 1+9) Kg=5& 2 < 1*29) Kg=5&2 < ( .

< 2 .

) (

) (

< ) Kg=5& 2

< 2) Kg=5& 2

.1. Titik Si)+u# A 4

1

1 ) . = 3 ) 7

*=12 0

A

E

1 < 3129+ Kg 0 < 209)0 Kg Tinjau atang 1 terha%a' atang 0 Di5$a sa&ungan gigi tungga!8  tk 12 α

<

K tr

 @ K tr 

 sin 21 

K tk

< 1*29)  @1*29)  ) sin

1 2

.3)

< 129*+1 Kg=5& 2. t&

< <

1 5$s 2 12  

1 tk 2

 . 

3129+ 5$s 2 12 3) 129*+1. 

< 29+)

L

1 (

h

L

1 (

s:arat t& L

1)

L 39+) #K F

1 (

h untuk  L )$ ; PKKI NI-) 10*1 'asa! * a:at 1F

Di'akai t& 3 5& Untuk antisi'asi ga:a geser :ang terja%i %i'asang '!at antara atang 1 %an 0

.2. Titik Si)+u# E 4 *=12 1+

A

E

*=12 0

*=12 1

G

0 < 209)0 Kg 1 < 209)0 Kg 1+ < 19

Kg

Tinjau atang 1+ terha%a' atang 0%an 1 @a&ungan aut g$!$ngan I ta&'ang 2  < 39 ,enurut PKKI NI-) 10*1 'asa! 1(8  <

 %

39 <

* %

%

<

* 39.

< 19)+0 5& Di'akai aut W 19* 5& 3

< 12) % .  3 @1  9* sin  < 12) . 19* . * @1  9* sin 0 < ( Kg

3

< 2) % .  1 @1  9* sin  < 2) . 19* . * @1  9* sin 0 < 0* Kg

3

< ( % 2 @1  93) sin  < ( . 19* 2 @1  93) sin 0 < +09+2 Kg

Keterangan8 < kekuatan sa&ungan @Kg.



3



 < su%ut antara arah ga:a %an arah serat ka:u.



1 < tea! ka:u te'i @5&.



3 < tea! ka:u tengah @5&.



% < garis tengah aut @5&.

1+

<

4n

< @* > 12 9 < )+9* 5& 2

P1+ 4n



<

1 (

n

< 91*0 aut  %i'asang 2 aut

L *Kg=5&2

.1 )+9*

L *Kg=5&2

19(* L *Kg=5&2 #K F

.!. Titik Si)+u# F 2

1 ) . =

4 1 ) = .

7  +

) ) 7

*=12

1

*=12

1

1+

A

G

E

1 < 3129+ Kg 2 < 2*)192) Kg 1+ < 19

Kg

1 < )1)9** Kg Tinjau atang 1 terha%a' atang 1 %an 28 Di5$a sa&ungan gigi tungga!8 <

 tk 12 α

K tr

 @ K tr 

 sin 21 

K tk

< 1*29)  @1*29)  ) sin

1 2

.+

< 0+90+3 Kg=5& 2. t&

< <

1 5$s

2 1 2



 tk 12  . 

)1)9** 5$s 2 12 + 0+90+3. *

< 9)1

L

1 *

h

L

1 *

12

L 2 #K F

Di'akai t& < 1 5& Tinjau atang 1+ terha%a' atang 1 %an 28 @a&ungan aut g$!$ngan I ta&'ang 2  < 39  <

 %

39 <

* %

% <

* 39.

< 19)+0 5& Di'akai aut W 19* 5&

Keterangan8

3

< kekuatan sa&ungan %a!a& @Kg.



3



 < su%ut antara arah ga:a %an arah serat ka:u.



1 < tea! ka:u te'i @5&.



3 < tea! ka:u tengah @5&.



% < garis tengah aut @5&.

< 12) % .  3 @1  9* sin  < 12) . 19* .  @1  9* sin )) < 139*1( Kg

3

< 2) % .  1 @1  9* sin  < 2) . 19* . * @1  9* sin )) < 1229(21 Kg

3

< ( % 2 @1  93) sin  < ( . 19* 2 @1  93) sin )) < +*9(00 Kg 1+

<

4n

< @* > 12 9 < )+9* 5& 2

P1+ 4n



<

1

n

139*1(

L *Kg=5&2

.1 )+9*

L *Kg=5&2

19(* L *Kg=5&2 #K F

< 91 aut  %i'asang 2 aut

.,. Titik Si)+u# G H

*=12

4

10 1

*=12 7 ) )

E

1

*=12

7 ) 3

*=1211

G

I

1 < 209)0 Kg 11 < 2(*91( Kg 1 < )1)9** Kg 10 < 3+*9+2 Kg Tinjau atang 1 terha%a' atang 1 %an 118 Di5$a sa&ungan gigi tungga!8 <

 tk 12 α

K tr

 @ K tr 

 sin 21 

K tk

< 1*29)  @1*29)  ) sin

1 2

.3)

< 129*+1 Kg=5& 2. t&

< <

1 5$s

2 1 2



 tk 12  . 

)1)9** 5$s 2 12 3) 129*+1. *

< 9* 5&

L

1 (

h

L

1 (

12

L 3 #K F

Di'akai t& < 1 5& Tinjau atang 10 terha%a' atang 1 %an 118 @a&ungan aut g$!$ngan I ta&'ang 2  < 39  <

 %

39 <

* %

% <

* 39.

< 19)+0 5& Di'akai aut W 19* 5&

3

< 12) % .  3 @1  9* sin  < 12) . 19* . * @1  9* sin 0 < ( Kg

3

< 2) % .  1 @1  9* sin  < 2) . 19* . * @1  9* sin 0 < 0* Kg

3

< ( % 2 @1  93) sin  < ( 19* 2 @1  93) sin 0 < +09+2 Kg 10

<

4n

< @* > 12 9 < )+9* 5& 2

P10 4n 3+*9+2 )+9*

*9)(



<

3+*9+2

n

(

< 9+( aut  %i'asang 2 aut

L *Kg=5&2 L *Kg=5&2 L *Kg=5&2 #K F

.. Titik Si)+u# H J 3

1 ) . = H 7 1 0

2

1 ) . =

) ) 7

3 ) 7

*=12 2

10

4

=1)

G

I

2 < 2*)192) Kg 3 < 2119+( Kg 10 < 209)0 Kg 2 < +2*901 Kg Tinjau atang 2 terha%a' atang 2 %an 38 Di5$a sa&ungan gigi tungga!8 <

 tk 12 α

K tr

 @ K tr 

 sin 21 

K tk

< 1*29)  @1*29)  ) sin

1 2

.0

< 290) Kg=5& 2. t&

< <

2 5$s

2 1 2



 tk 12  . 

+2*901 5$s 2 12 0 290). 

< 9)( 5&

L

1 *

h

L

1 *

1)

L 29) #K F

Di'akai t& < 1 5& Tinjau atang 10 terha%a' atang 2 %an 38 @a&ungan aut g$!$ngan I ta&'ang 2  < 39  <

 %

39 <

* %

% <

* 39.

< 19)+0 5& Di'akai aut W 19* 5& < 12) % .  3 @1  9* sin 

3

< 12) . 19* .  @1  9* sin )) < 139*1( Kg < 2) % .  1 @1  9* sin 

3

< 2) . 19* . * @1  9* sin )) < 1229(21 Kg < ( % 2 @1  93) sin 

3

< ( 19* 2 @1  93) sin )) < +*9(00 Kg 10

<

4n

< @* > 12 9 < )+9* 5& 2

P10 4n



)91(

139*1(

< 39))3 aut  %i'asang ( aut

L *Kg=5&2

209)0 )+9*

<

209)0

n

L *Kg=5&2

L *Kg=5& 2 #K F

.8. Titik Si)+u# I

21

*=12 2

=1) 7 ) )

*=12

G

3 ) 7

*=12

I

11

"

12

11 < 2(*91( Kg 12 < 2()9+ Kg 2 < +2*901 Kg 21 < *+29(3 Kg Tinjau atang 2 terha%a' atang 11 %an 128 Di5$a sa&ungan gigi tungga!8 <

 tk 12 α

K

tr

 @ K tr 

K

 sin 21 

tk

< 1*29)  @1*29)  ) sin

1 2

.))

< 119))3 Kg=5& 2. t&

< <

2 5$s

2 1 2



 tk 12  . 

+2*901 5$s 2 12 )) 119))3. 

< 9*(+ 5&

L

1 *

h

L

1 *

1)

L 29) #K F


 %

39 <

* %

% <

* 39.

< 19)+0 5&

Di'akai aut W 19* 5& 3

< 12) % .  3 @1  9* sin  < 12) . 19*. * @1  9* sin 0 < ( Kg

3

< 2) % .  1 @1  9* sin  < 2) . 19* . * @1  9* sin 0 < 0* Kg

3

< ( % 2 @1  93) sin  < ( 19* 2 @1  93) sin 0 < +09+2 Kg 21

<

4n

< @* > 12 9 < )+9* 5& 2

P21 4n



(

< 19( aut  %i'asang 2 aut

L *Kg=5&2

*+29(3 )+9*

<

*+29(3

n

L *Kg=5&2

119*+( L *Kg=5&2 #K F

.9. Titik Si)+u# J D (

1 ) . =

J

3

H

1 ) . =

) ) 7

. 17

22

21

*=12

1=1) "

I

3 < 2119+( Kg ( < 1+**9) Kg 21 < *+29(3 Kg 22 < 029)0 Kg Tinjau atang 22 terha%a' atang 3 %an (8 Di5$a sa&ungan gigi tungga!8 <

 tk 12 α

K tr

 @ K tr 

 sin 21 

K tk

< 1*29)  @1*29)  ) sin

1 2

.

< 091* Kg=5& 2. t&

< <

22 5$s 2 12   tk 12  .  029)0 5$s 2 12  091*. 1

< 9*30 5&

L

1 *

h

L

1 *

1)

L 29) #K F

Di'akai t& < 1 5& Tinjau atang 21 terha%a' atang 3 %an (8 @a&ungan aut g$!$ngan I ta&'ang 2  < 39  <

 %

39 <

* %

% <

* 39.

< 19)+0 5& Di'akai aut W 19* 5& 3

< 12) % .  3 @1  9* sin  < 12) . 19* .  @1  9* sin )) < 139*1( Kg

3

< 2) % .  1 @1  9* sin  < 2) . 19* . * @1  9* sin )) < 1229(21 Kg

3

< ( % 2 @1  93) sin  < ( 19* 2 @1  93) sin )) < +*9(00 Kg 21

<

4n

< @* > 12 9 < )+9* 5& 2

P21 4n *+29(3 )+9*

119*+(



<

*+29(3

n

139*1(

< 92* aut  %i'asang 2 aut

L *Kg=5&2 L *Kg=5&2 L *Kg=5& 2 #K F

.:. Titik Si)+u# $

D J

23

6

*=12 22

2(

1=1)

1=1) 2 ) 7

I

7 ) *

*=12

* ) 7

"

12

*=12

K

13

12 < 2()9+ Kg 13 < 2()9+ Kg 22 < 029)0 Kg 23 < 1)+39* Kg 2( < 029)0 Kg Tinjau atang 22 %an 2( terha%a' atang 12 %an 138 Di5$a sa&ungan gigi tungga!8  tk 12 α

<

K

tr

 @ K tr 

K

 sin 21 

tk

< 1*29)  @1*29)  ) sin

1 2

.+

< 0+90+3 Kg=5& 2. t&

< <

22 5$s 2 12   tk 12  .  029)0 5$s 2 12 + 0+90+3.1

< 9*+3 5&

L

1 *

h

L

1 *

1)

L 29) #K F


 %

39 <

* %

% <

* 39.

< 19)+0 5& Di'akai aut W 19* 5& < 12) % .  3 @1  9* sin 

3

< 12) . 19* . * @1  9* sin 0 < ( Kg < 2) % .  1 @1  9* sin 

3

< 2) . 19* . * @1  9* sin 0 < 0* Kg < ( % 2 @1  93) sin 

3

< ( 19* 2 @1  93) sin 0 < +09+2 Kg 23

<

4n

< @* > 12 9 < )+9* 5& 2

P23 4n 1)+39* )+9*

2+9321



<

1)+39*

n

(

< 392+0 aut  %i'asang ( aut

L *Kg=5&2 L *Kg=5&2 L *Kg=5& 2 #K F

.=. Titik Si)+u# D D 1 ) ( = .

7 ) )

) ) 7

. = 1 ) )

6

J

*=12 23

"

( < 1+**9) Kg ) < 1+**9) Kg 23 < 1)+39* Kg Tinjau atang ( %an ) terha%a' atang 238 Di5$a sa&ungan gigi tungga!8 <

 tk 12 α

K

tr

 @ K tr 

K

 sin 21 

tk

< 1*29)  @1*29)  ) sin

1 2

.))

< 119))3 Kg=5& 2. t&

< <

( 5$s  tk

2 1 2



L

1

 .  2

1+**9) 5$s 2

1 2

119))3. 

< 19)+1 5&

))

1 *

h

L

1 *

1)

L 29) #K F

Di'akai t& < 2 5& Tinjau atang 23 terha%a' atang ( %an )8 @a&ungan aut g$!$ngan I ta&'ang 2  < 39  <

 %

39 <

* %

% <

* 39.

< 19)+0 5& Di'akai aut W 19* 5&

44111381-Tugas-Kayu-Tipe-A.doc

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