HItungan Kayu Oca

8/19/2019 HItungan Kayu Oca

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PERHITUNGAN PEMBEBANAN KONSTRUKSI KUDA-KUDA

Kuda-Kuda seperti tergambar di atas.

Panjang bentang kuda-kuda = 8.4 m

Jarak antar kuda-kuda = 5.4 m

Tinggi kuda-kuda = 1.74 m

Jarak antar gording = 1 m

Kemiringan atap (α = !" #

$angka kuda-kuda = = Ka%u &eumantok ('J=)*8 gr+,m"

Penutup tap = = /enteng beton

0at sambung = = Paku) 'aut dan /igi

'eban idup = 1 kg

'erat /enteng 'eton = 4 kg+m!

'erat Kasau = ! kg+m"

'erat P0a2ond = 1 kg+m4

Ke,epatan ngin = 14 km+jam = !8.88*

3gording = *81 kg+m"

Perhitungan Panjang Bentang

Balok Bint

1 s.d = 1.4 m

Kaki Kua-kua

1!" = 4.54 m

1 s.d " = 1.515 m

1 s.d = 1.515 m

Batang !ertikal

61 = 65 = .58 m

6! = 64 = 1.1 m

6" = 1.5 m

Batang Diagonal1 = 4 = 1.818 m

! = " = !.5! m

No"or Batang Panjang Batang

1 1.4 1.515

! 1.4 61 .

" 1.4 6! 1.!

4 1.4 6" 1.5

5 1.4 64 1.!

1.4 65 .

1 1.515 1 1.818

! 1.515 ! !.5!

" 1.515 " !.5!

No"or

Batang

Panjang

Batang

A H I J K L B

C

D

E

FG


2/36

4 1.515 4 1.818

5 1.515

PEREN#ANAAN GORDING

'eban ati

'eban /enteng =1 9 4 4

'eban Kasau =1 9 ! !

Jadi) beban mati %ang diterima konstruksi ada0a:

; = 4 ! = kg+m

= ,os !"# = 55.4"1 kg+m

= sin !"# = !!.*4 kg+m

= = 1+8

1 ,os !"# = *!."8 kg

1 ,os !"# = "8.!74 kg

1+4 < *!)"8 < 5)4 = 1!4.7!555* kg.m

1+4 < "8)!74 < 5)4 = 51.7 kg.m

sumsi = 14 km+jam

= 14 )! ( - )4∝

= )! (!" - )4

= .5757

$% Be$an Hiu&

'% Be$an Angin

! + 1 =

K 1 =


3/36

= )5 (1 (5!)11

= !.117!5747!

ngin :isap>

-.4

= -)4 (1 (5!)11

= -!.84"58!5

1+8

!8!.8 kg.m

117.187 kg.m

44!.1 kg.m

18".118 kg.m

"4.817 kg.m

1!.!81 kg.m

1*4.!18 kg.m

75.""5 kg.m

&%arat peren,anaan ada0a:>

9u = 44*.!5 kg.m = 44*!54."*51 ?.mm dengan

%u = 18".118 kg.m = 18"118!.8!4! ?.mm dengan

;i = K 1 (1 (5!)11

K !=

;: = K ! (1 (5!)11

@i%

=

@:% =

% Ko"$ina(i Pe"$e$anan

9u1

= 1)4 9

= 1)4 (!!)47 =

%u1

= 1)4 %

= 1)4 (8")75 =

9u!

= 1)! 9

1) A9

= 1)! (!!)47 1) (*!)"8 =

%u!

= 1)! %

1) A%

= 1)! (8")75 1) ("8)!74 =

9u"

= 1)! 9

1) A9

)8 B9

= 1)! (!!)47 1) (*!)"8 )8 (*)5! =

%u"

= 1)! %

1) A%

)8 B%

= 1)! (8")75 1) ("8)!74 )8 ( =

9u4

= 1)! 9

)5 A9

1)" B9

= 1)! (!!)47 )5 (*!)"8 1)" (*)5! =

%u4

= 1)! %

)5 A%

1)" B%

= 1)! (8")75 )5 ("8)"74 1)" ( =

9u5

= 1)! 9

)5 A9

= 1)! (!!)47 )5 (*!)"8 =

%u5 = 1)! % )5 A%= 1)! (8")75 )5 ("8)"74 =

9u

= )* 9

1)" A9

= )* (!!)47 1)" (*)5! =

%u

= )* %

1)" A%

= )* (8")75 1)" ( =

e% Peren'anaan Goring


4/36

4496254.39506797

18"118!.8!4!!*5

iren,anakan> : = !b dan b = 1+! :

4496254.39506797

18"118!.8!4!!*5

4496254.39506797

18"118!.8!4!!*5

!7!81.1511874"≤ 1

b = 4.84!75878 mm ≈

iambi0 b = 75 mm .75 m

: = 15 mm .15 m

Be$an Mati

'eban mati tota0 atap kiri

/ording

= 148.*8*"75 kg

Kasau

&isi miring = 4.54 m

Jarak antar kuda-kuda = 5.4 m

Panjang Kuda-kuda = 8.4 m

= !45.484

/enteng

= 4*.*8 kg

P tota0 atap kiri = *".787"75 kg

per titik bu:u0 = !!5.*484"75

'eban mati p0a2on

= !!.8

Pp0a2on

= "!.4

Be$an Hiu&

'eban :idup atap kiri

= "5 kg

)8 9 )85 9 9 1+ b:! )8 9 )85 9 9 1+ :b!

)8 9 )85 9 9 1+ b:! )8 9 )85 9 9 1+ :b!

)8 9 )85 9 9 !+" b" )8 9 )85 9 9 1+" b"

b"

)% Di(tri$u(i Be$an Kua-kua

ρgording

* o0ume+!

;kasau

< atap

+!

;genteng

< genteng

+!

PA

P0a2on

; p0a2on

< p0a2on

+!

PA

P0a2on + joint ba0ok bint

PAA

= jum0a: joint < P:idup

+!

=

=


5/36

= 87.5 kg

Be$an Angin

nginTekan

Tekanan Tiup = 5!.11

&udut atap = !" #

Koe2isien ngin Tekan = .5

= !.1! kg+m!

P angin tekan =

= 4.114 kg

= 8.14 kg

ngin isap

Tekanan Tiup = 5!.11 kg+m!

&udut atap = !" #

Koe2isien ngin isap = -.4

= -!.84 kg+m!

P angin :isap =

= -51!.187 kg

= -4.!" kg

PAA

pada joint = PAA

+Titik bu:u0

kg+m!

;at

;at <

atap

Pat+joint

;a:

;a:

< atap

Pat+joint


6/36

m+s

L B

G


7/36


8/36

44*.!5 kg.m

18".118 kg.m

"17.1*" kg.m

1!.!81 kg.m

.8

.8


9/36

75mm

&imetris dengan atap kanan

an%a di ba0ok bint

&imetris atap kanan


10/36

'eban ati

Pembu0atanP0a2on Jum0a:

!!5.*47 "!.4 !58."47 !5*

' !!5.*47 "!.4 !58."47 !5*

C !!5.*47 !!5.*47 !!

!!5.*47 !!5.*47 !!

D !!5.*47 !!5.*47 !!

E !!5.*47 !!5.*47 !!

/ !!5.*47 !!5.*47 !!

"!.4 "!.4 ""

F "!.4 "!.4 ""

J "!.4 "!.4 ""

K "!.4 "!.4 ""

A "!.4 "!.4 ""

Tekan posisi

sin ".7 !.!7"

,os 7.44

Tarik posisi

sin -!4.54 !.!7"

,os -5*.148

Titik'u:u0 tap+/ording+Kasa

u


11/36


12/36


13/36


14/36


15/36

'eban idup uatan ngin

Pekerjangin Tekan ngin isap

87.5 8.14

87.5 -4.!"

87.5 8.14

87.5 8.14

87.5 8.14 -4.!"

87.5 -4.!"

87.5 -4.!"

87.5

87.5

87.5

87.5

87.5

"!.57 -!5.*"


16/36

Gaya Batang (kg) C1 C2 C3 C4

1,4D

Balok Bint (B)

H1 1562.9 1056.030 -25.340 2188.060 3565.128 3544.856 2370.553

H2 1250.1 844.830 -10.470 1750.140 2851.848 2843.472 1908.924H3 939.2 633.620 -10.470 1314.880 2140.832 2132.456 1430.239

H4 939.2 633.620 -10.470 1314.880 2140.832 2132.456 1430.239

H5 1250.1 844.830 -83.660 1750.140 2851.848 2784.920 1813.777

H6 1562.9 1056.030 -83.630 2188.060 3565.128 3498.224 2294.776

Kaki KudaKuda (A)

A1 -1691.75 -1143.070 145.9 -2368.450 -3859.012 -3742.292 -2411.965

A2 -1691.75 -1143.070 142.51 -2368.450 -3859.012 -3745.004 -2416.372

A3 -1354.18 -914.460 150.46 -1895.852 -3088.152 -2967.784 -1886.648

A4 -1354.18 -914.460 221.86 -1895.852 -3088.152 -2910.664 -1793.828

A5 -1691.75 -1143.070 285.33 -2368.450 -3859.012 -3630.748 -2230.706

A6 -1691.75 -1143.070 258.25 -2368.450 -3859.012 -3652.412 -2265.910

Batang !"#tikal (!)

V1 -226.000 -87.500 -8.600 -316.400 -411.200 -418.080 -326.130

V2 -355.200 -175.550 -0.130 -497.280 -707.120 -707.224 -514.184

V3 32.400 87.500 0.000 45.360 178.880 178.880 82.630

V4 -355.200 -175.550 103.940 -497.280 -707.120 -623.968 -378.893

V5 -226.000 -87.500 69.300 -316.400 -411.200 -355.760 -224.860

Batang Diagonal (D)

D1 405.000 274.290 13.6 567.000 924.864 935.744 640.825

D2 497.490 336.920 16.7 696.486 1136.060 1149.420 787.158

D3 497.490 336.920 -133.43 696.486 1136.060 1029.316 591.989

D4 405.000 274.290 -108.61 567.000 924.864 837.976 481.952

$a%aBatang

B"&an'ati (D)

B"&anHidu (L)

B"&anAngin()

1,2D*1,+L

1,2D*1,+L*,-

1,2D*1,3*,.L


17/36

C. C+

'a/

2403.495 1373.668 3565.128 Tekn

1922.535 1111.479 2851.8481443.850 831.669 2140.832

1443.850 831.669 2140.832

1922.535 1016.332 2851.848

2403.495 1297.891 3565.128

-2601.635 -1332.905 Trik

-2601.635 -1337.312

-2082.246 -1023.164

-2082.246 -930.344

-2601.635 -1151.646

-2601.635 -1186.850

-314.950 -214.580 !ekn

-514.015 -319.849

82.630 29.160 !rik

-514.015 -184.558 !ekn

-314.950 -113.310

623.145 382.180 Trik

765.448 469.451

765.448 274.282

623.145 223.307

1,2D*,.L

,0D*1,3


18/36

PEREN#ANAAN BATANG TARIK

iameter baut = 1 mm

Auas tampang netto untuk ! tampang

engan menganggap b = 1+! :) maka>

Balok Bint *H+

Tu ma9 = "55.1!8 kg

= "551.!8 ?

Combination = C"

G = .8


19/36

"

enggunakan &:i2t&o0e di ka0ku0ator >

b = 1.5!8 mm

Karena ni0ai b ter0a0u ke,i0) maka diambi0 b min 5 mm

b = 5 mm = !

: = 1 mm = 4

Batang !ertikal *!+

Tu ma9 = 178.88 kg

= 1788.8 ?

Combination = C"

G = .8


20/36

PEREN#ANAAN BATANG TEKAN

Kaki Kua-Kua *A+

Cek Ke0angsingan

= ≤ 175 pa (?+mm Lntuk ka%u

imana

K > Eaktor Per0etakan (PKKF !! a0aman !1

rmin > Jari-jari inersia minimun> )!8* b

itungan

K = 1 K untuk sendi sendi = 1

A = 1.515 m = 1515."877"* mm

rmin = .!8* b b = 0ebar ka%u

= 5!4".551** ≤ 175 pa

b

b " !*.*"178!"mm

b = 5 mm

= !

enurut PKKF !!

Pu ≤


21/36

= !

: = 1

= 4

Batang !ertikal *!. an !/+

Cek Ke0angsingan

= ≤ 175 pa (?+mm Lntuk ka%u

imana

K > Eaktor Per0etakan (PKKF !! a0aman !1rmin > Jari-jari inersia minimun

> )!8* b

itungan


A = .58 m = 58 mm


= !.*!415! ≤ 175 pa

b

b " 11.4811 mm

b = 5 mm

= !

enurut PKKF !!

Pu ≤


22/36

b = 5 mm

= !

: = 5

= !

Batang !ertikal *!, an !0+

Cek Ke0angsingan = ≤ 175 pa (?+mm Lntuk ka%u

imana

K > Eaktor Per0etakan (PKKF !! a0aman !1

rmin > Jari-jari inersia minimun

> )!8* b

itungan


A = 1.1 m = 11 mm


= 41".848"4 ≤ 175 pa

b

b " !!.*"!"""!mm

b = 5 mm

= !

enurut PKKF !!

Pu ≤


23/36

: = 5

= !

Jadi

b = 5 mm

= !

: = 5

= !


24/36


25/36


26/36


27/36


28/36

Reka& Di"en(i

'a0ok 'int Kaki Kuda-Kuda

'atang 6ertika0

61 dan 65 6" 6! dan 64

b (mm 5 5 5 5 5 5

: (mm 1 1 1 5 1 5

'atangiagona0


29/36

EHI$GA$ 5A'B$GA$ B

A6 7EIE5 5A'B$GA$

De!i' ()+ngn An!r ,'ok ,in! Dengn ,!ng Digon'

B6 EHI$GA$ KEKAA$ BA

B61 EHI$GA$ KEKAA$ $K 1 BA

1 od T/nn 1

T/nn 1 = 1 = 0.83*D*!)*e) !e!

2 od T/nn 2

T/nn 2 = 2 = 0.83*D*!*e !e!

3 od T/nn 3

on!n! k1 = k1 =r!e2e2*1!!

T/nn 3 = 3 = 0.93*k1*D*!*e !e!

4 od T/nn 4

on!n! k2 = k2=-1r!2*1ee2 T/nn 3 = 4 = 1.04*k2*D*!)*e)12

5 od T/nn 5

on!n! k3 = k3=-1r!2*1ee2

T/nn 3 = 5 = 1.04*k3*D*!*e)2e*

7 od T/nn 6

T/nn 6 = 6 =1.04*D2 !e!*r!2e)

8 od T/nn ;ki n = n = 2>3>4>5>6

9 = ,er' Dri o)ini 4 A+)

10 = k!or ed+ki

11 T/nn !erkoreki ;i.n =

k!or ?k!+ G

k!or red. ()+ngn Φ)

;i.n = G *Φ*n

'aut) d = 1 mm

1 15 1

"

D0emen utama

D0emen Pen%ambung


30/36

12 @n!+k ()+ngn nd =

B62 EHI$GA$ KEBHA$ J'LAH BA

1 : ,!ng Trik ki)+) = T+

2 : ,!ng Tekn ki)+) = ;+

3 : ,!ng ;ki = (+ = AB T+>;+

4 C+)'/ ,+! = n

5 T/nn To!' = ;i.n.n +/

Karena Psi*Zn*n > Su maka Sambungan Baut Cukup K

;i.n = G *Φ*n*2


31/36

(KKI 22)

1 +!+ 'e)en @!) = 26

2 +!+ 'e)en ;en:)+ng = 26

3 Te' 'e)en @!) !) = 150 ))4 Te' 'e)en ;en:)+ng ! = 100 ))

5 Teg. Tekn '. @!) e) = 46 ;

6 Teg. Tekn '. ;en:)+ng e = 46 ;

7 Di)e!er ,+! D = 10 ))

8 Tegngn Ee'e/ ,+! : = 240 ;

9 (+d+! ()+ngn = 30 drF!

= 1.08333

11 !io 1> e = e)e = 1

12 !io 2> ! = !)! = 1.5

13 ed')n Gene!ri G = 350 ))

= 52864.6

= 35243.1

2!2*!3-e*1e1e = 0.53536

= 21140.8

:*12e*D23e)*!)2 = 1.01156* !e! = 22335.3

:*2e*D23e)*!2 = 0.97374

!e! = 14333.5

*:3*1e = 5823.65

= 5823.65

i = 1

= 0.65

= 3785.37

10 on!n!> !e!


32/36

= 7570.74

= 20000

= 25000

= 25000

= 4 +!

= 30283

at


33/36

EHI$GA$ 5A'B$GA$ KA8 D

A6 7EIE5 5A'B$GA$

De!i' ()+ngn An!r ,'ok ,in! Dengn ,!ng Digon'

B6 EHI$GA$ KEKAA$ AK

B61 EHI$GA$ KEKAA$ $K 1 AK

1 od T/nn 1

T/nn 1 = 1 = 3.3*D*!*ed

2 od T/nn 2

on!n! k1 = k1 = -1r!2*1e

T/nn 2 = 2 = 3.3*k1*D*G*e)d*

3 od T/nn 3

on!n! k2 =

T/nn 2 = 3 = 3.3*k2*D*!*e)d

4 od T/nn 2

T/nn 4 = 4=3.3*D2d*r!2e

5 od T/nn ;ki n = n = 2>3>46 = ,er' Dri o)ini 4

7 = k!or ed+ki

8 T/nn !erkoreki ;i.n =

9 @n!+k ()+ngn nd =

B62 EHI$GA$ KEBHA$ J'LAH AK

1 : ,!ng Trik ki)+) = T+

2 : ,!ng Tekn ki)+) = ;+

3 : ,!ng ;ki = (+ = AB T+>;+

4 C+)'/ ;k+ = n

k2=-1r!2*1e

k!or ?k!+ G

k!or red. ()+ngn Φ)

;i.n = G *Φ*n

;i.n = G *Φ*n*2

Paku) d = 4)" mm

1 15 1

"

D0emen utama

D0emen Pen%ambung


34/36

5 T/nn To!' = ;i.n.n +/

Karena Psi*Zn*n > Su maka Sambungan Paku Cuk


35/36

E$GA$ AK (KKI 22)

By : M. Arief Rahman Panjaitan S! M!

1 +!+ 'e)en @!) = 26

2 +!+ 'e)en ;en:)+ng = 26

3 Te' 'e)en @!) !) = 150 ))4 Te' 'e)en ;en:)+ng ! = 100 ))

5 Teg. Tekn '. @!) e) = 46 ;

6 Teg. Tekn '. ;en:)+ng e = 46 ;

7 Di)e!er ;k+ D = 4.3 ))

8 Tegngn Ee'e/ ;k+ : = 240 ;

9 on!n!> d = 2.2

10 !io> e = e)e = 1

11 ed')n Gene!ri G = 350 ))

= 29670

2:*12eD23e)*G2 = 1.00039

12e = 34628.6

= 1.00482

2e = 9937.65

*:3*1e = 1682.49

= 1682.49 +)i = 1

= 0.65

= 1093.62

= 2187.23

= 20000

= 25000

= 25000

= 12Gk+

2:*12e*D23e)*!2


36/36

= 26246.8

p Kuat

HItungan Kayu Oca

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