Project :
OTHER
Client : Made by : Cheked by
OTHER Puji Kurniawan,ST
Location: Job No : Date :
OTHER 22/05/2017
1. DATA BEBAN
Rencana kekuatan sambungan kN
Persentase kekuatan sambungan dari kekuatan profil
% =
0.75 %Gaya geser akibat beban terfaktor,
V
u=
216 kNMomen akibat beban terfaktor,
P
u=
65 kN1.1. MAIN DATA
WF 250.125.6.9
Samb. Sekuat ProfilSHEAR CONNECTION
Approved by Revision 0WF 250.125.6.9
BJ37
Single Plate Thickness
Bolt Diameter
WF 250.125.6.9
BJ37
Single Plate Thickness
Bolt Diameter
Bolt eccentricity calculation method
Beam To Girder Aligment
a =
TopTop Cope Depth
d
ctmin=
21.00 mmd
ct=
0.00 mmTop Cope Length
c
tmin=
106.00 mmc
t=
0.0 mmBottom Cope Depth
d
cb=
0.00 mmBottom Cope Length
c
b=
0.00 mmVertical Edge Distance
L
evb
=
40 mmHorizontal Edge Distance
L
ehb=
40 mmHorizontal Angle
=
0.00 DegVertical Angle
=
0.00 DegExists Opposite Connection
=
YesGirder Section
Girder Material
Grade =
BJ371.2. CONFIGURATION
Beam Setback
sb =
10 mmConsider Hole Deformation In Bolt
=
YesConsider Sheared Edge In Shapes
=
YesCorrosive Influences
=
No1.3. SHEAR PLATE
Plate Thickness
t
sp=
12 mmPlate Material
Grade =
BJ37Plate Position On Beam
=
CenterRow Of Bolt
n
r=
3 PcsBolt Column
n
c=
2 PcsTotal number of bolt
n
t=
6 PcsPitch - Longitudinal Center To Center Spacing
s = p =
64.0 mmDistance Between Weld And Bolt
a =
146 mmGage transversal center to center spacing
g =
50 mmLoad Eccentricity To Bolt Group
e
b=
0 mmBolts
=
M16-A325 XBolt shear area
Hole Type On Plate
=
STDHole Type On Beam
=
STDWF 400.200.8.13
Geser pada grip Manual
Weld
F
Exx=
70Weld Size (1/16 In)
t
wlmin=
9=
8 mm4. GEOMETRIC CONSIDERATIONS
4.1 Shear Plate
- Length of single plate on girder
Unit Value (Lsp) Min. Value Max. Value Status Ok
mm 229 113 229 OK.! Ok
LMin = d - tf - (r / 2) = 113 mm
Lmax = d - (2 * tf) = 229 mm
- Length of single plate on beam
Unit Value (Lsp) Min. Value Max. Value Status Ok
mm 208 104 208 OK.! Ok
LMin = d - ( 2 * tf + 2 * r ) / 2 = 104 mm
Lmax = d - Max(k, dct) - Max(k, dcb) = 208 mm
- Thickness
Unit Value Min. Value Max. Value Status
mm 12 0 12.00 OK.!
tpmax = d / 2 + 1/16 = 9.59 mm
- Vertical Edge Distance
Unit Value (Lev sp
) Min. Value Max. Value Status
mm 40 25.76 0.00 OK.!
LemIn = edim + C2 = 25.76 mm
- Horizontal Edge Distance
Unit Value (Leh sp
) Min. Value Max. Value Status
mm 40 32.00 0.00 OK.!
LemIn = 2 * d = 32.00 mm
- Vertical center to center spacing (pitch)
Unit Value Min. Value Max. Value Status Ok
mm 64.0 42.67 72.00 OK.! Ok
Smin = 2.667 * d = 42.67 mm
4.2 Beam
- Vertical Edge Distance
Unit Value (Lev b
) Min. Value Max. Value Status
mm 40 25.76 0.00 OK.!
LemIn = edim + C2 = 25.76 mm
- Horizontal Edge Distance
Unit Value (Leh b
) Min. Value Max. Value Status
mm 40 32.00 0.00 OK.!
LemIn = 2 * d = 32.00 mm
4.3 Support
- Weld Size
Unit Value Min. Value Max. Value Status
mm 8 4.72 0.00 OK.!
Wmin = Ceil ((5/8) * tp / (1/16) = 4.72 mm
4.4 Section Properties
Luas Jarak Terhadap
Alas Statis Momen Momen Inersia Momen Inersia
Lebar Tinggi A y A * Y A * Y2 I0 (mm) (mm) (mm2) (mm) (mm3) (mm4) (mm4) 1 125 9.0 1125.0 245.5 276187.5 67804031.3 7593.8 2 12 12.0 61.9 237.0 14675.0 3477984.5 1728.0 3 6 232.0 1392.0 125.0 174000.0 21750000.0 6243584.0 4 12 12.0 31.0 13.0 402.5 5232.2 1728.0 5 65.5 9.0 589.5 4.5 2652.8 11937.4 3979.1 Tot 3199.38 467917.8 93049185.3 6258612.88
Tinggi total balok
h
tot=
250.00 mmLuas penampang balok
A
tot=
3199.38 mm2Letak titik berat :
y
a=
103.75 mmy
b=
146.25 mmMomen inersia terhadap alas balok :
I
b= ΣI
0+ ΣA * y
2=
99307798.2 mm4 Momen inersia terhadap titik berat balokI
x= I
b- A * y
b2
=
30873589.3 mm4I
x=
3087.4 cm4Net Section Modulus (Negatif)
S
33(Neg)= I
x/ y
b=
211097.7 mm3Net Section Modulus (Positif)
S
33(Pos)= I
x/ y
a=
297584.3 mm3Net Plastic Modulus
Z
33= Formula =
297823.4 mm3No
5. GAYA PADA GROUP BAUT
Kapasitas momen pada badan,
=
0 NmmMomen tambahan akibat eksentrisitas,
D
M
u= V
u* e =
36936 NmmMomen total pada badan,
S
M
u= M
uw+
D
M
u=
36936 NmmGaya pada masing-masing baut badan akibat momen dihitung sebagai berikut : Gaya pada arah x,
R
uxi= (
S
M
u) * y
i/ (
S
x
2
+
S
y
2)
Gaya pada arah y,R
uyi= (
S
M
u) * x
i/ (
S
x
2+
S
y
2)
GAYA-GAYA PADA MASING-MASING BAUTNo
x
iy
ix
i2y
i2R
uyiR
uxi (mm) (mm) (mm2) (mm2) (N) (N) 1 -25 -64 625 4096 -46 -117 2 25 -64 625 4096 46 -117 3 -25 0 625 0 -46 0 4 25 0 625 0 46 0 5 -25 64.0 625 4096 -46 117 6 25 64.0 625 4096 46 117 7 0 0 0 0 8 0 0 0 0S
=
3750 16384Jumlah baut pada badan,
n
w=
6Gaya tambahan pada baut badan akibat gaya geser dan gaya aksial, Gaya tambahan akibat gaya geser arah vertikal (arah y),
D
P
uvi= P
uv/ n
w=
36000 N Gaya tambahan akibat gaya aksial arah horisontal (arah x),D
P
uhi= P
uh/ n
w=
36000 N Resultan gaya pada baut badan,No Ruyi+DPuvi Ruxi+DPuhi
R
ui (N) (N) (N) 1 35954 35883 50796 2 36046 35883 50861 3 35954 36000 50879 4 36046 36000 50944 5 35954 36117 50962 6 36046 36117 51027 7 0 0 0 8 0 0 0R
u max=
51027 N 51.03 kN5.1 Bolt Shear Single
Ratio Capacity
V
u
f
* R
n Ratio51
<
62 0.82 Safe (OK)5.2 Bolt Bearing under shear load Single
Ratio Capacity
V
u
f
* R
n Ratio51
<
170 0.30 Safe (OK)5. DESIGN CHECK (SHEAR PLATE)
5.1 Bolt Shear (Shear Plate)
Damand Vu = Sqrt (Vu 2 + Pu 2 ) = 226 kN
ɸ =
0.75 Bolt Factor fb = 1Shear Strength 1 Bolt ɸRn = ɸ Fnv * Ab = 62.40 kN
Shear Strength of Group ɸRn = ɸ Rn * n * fb = 374.39 kN
Ratio Capacity
V
u
f
* R
n Ratio5.2 Bolt Bearing under shear load (Shear Plate) Damand Vu = 216 kN
ɸ =
0.75L
c-end= max(0.0 , L
ev sp- d
h/ 2) =
31.0 mmL
c-spa= max(0.0 , s - d
h) =
46.0 mmɸrn1
= ɸ * (1,2 * l
c-end* t
sp* F
u) =
123.9 kNɸr
n2= ɸ * (1,2 * l
c-spa* t
sp* F
u) =
183.8 kNɸr
n (Max)= ɸ * (2,4 * d
b* t
sp* F
u) =
127.9 kNɸR
n= min (ɸr
n1, ɸr
n (Max)) + (n - 1) min (ɸr
n2, ɸr
n (Max)) =
763.24 kN Ratio CapacityV
u
f
* R
n Ratio216
<
763 0.28 Safe (OK)5.3 Shear Yielding (Shear Plate)
Damand Vu = 216 kN
ɸ =
1.00A
g= L
p* t
p=
2748.0 mm 2ɸR
n= ɸ * 0,60 * F
y* A
g=
395.7 kN Ratio CapacityV
u
f
* R
n Ratio 216<
396 0.55 Safe (OK)5.4 Shear rupture (Shear Plate)
Damand Vu = 216 kN
ɸ =
0.75L
h= d
h+ 1/16 (in) =
19.6 mmL
e= L
p- n
r* L
h=
170.2 mmA
nv= L
e* t
p=
2042.9 mm2ɸR
n= ɸ * 0,60 * F
u* A
nv=
340.1 kN Ratio CapacityV
u
f
* R
n Ratio 216<
340 0.64 Safe (OK)5.5 Block Shear (Shear Plate) Damand Vu = 216 kN
ɸ =
0.75dh
h= d
h+ 1/16 (in) =
19.6 mmdh
v= d
h+ 1/16 (in) =
19.6 mmA
nt= (L
eh- dh
h/ 2) * t
p=
362.5 mm 2A
gv= (L
ev+ (n - 1) * s) * t
p=
4320.0 mm 2A
nv= (L
ev+ (n
r- 1) * (s - d
hv) - d
hv/2)* t
p=
1428.4 mm2U
bs=
0.5 Rupture0,60 * F
u* A
nv+ U
bs* F
u* A
nt=
451.2 kN Yield0,6 * F
y* A
gv+ U
bs* F
u* A
nt=
756.2 kNɸR
n= ɸ * min(Rupture, Yield)=
338.4 kN Ratio CapacityV
u
f
* R
n Ratio 216<
338 0.64 Safe (OK)5.6 Flexuarl Rupture (Shear Plate)
Damand Vu = 216 kN
ɸ =
0.75L
h= d
h+ 1/16 (in) =
19.6 mmZ
net= t
p/ 4 * (L
sp2- s
2* n
r* (n
r2- 1) * L
h/ L
sp) =
132097.7 mm3e = a =
146.0 mmɸR
n= ɸ * F
u* Z
net/ e =
251.1 kN Ratio CapacityV
u
f
* R
n Ratio 216<
251 0.86 Safe (OK)5.7 Local Backling of Plate (Shear Plate) Damand
V
r=
216 kNf
=
0.90L
sp=
229.0 mmt
sp=
12.0 mme
sp=
171.0 mmA
g= L
p* t
p=
2748.0 mm2M
r= V
u* e =
0.0 kN.mM
c=
f
* F
y* Z
sp=
34.0 kN.mInt = ( V
r/ V
c)
2+ ( M
u/ M
c)
2=
0.30 Ratio CapacityRatio
Limit Ratio
1
>
0.298 Safe (OK)5.8 Bolt Bearing Under Axial Load (Shear Plate)
Damand
P
u=
65 kNɸ =
0.75L
c-end= max(0.0 , L
eh sp- d
h/ 2) =
31.0 mmL
c-spa= max(0.0 , g - d
h) =
110.0 mmɸr
n1=min(k
1* L
c-end* t
p* F
u, k
2* d * t
p* F
u) =
165.2 kNɸr
n2=min(k
1* L
c-spa* t
p* F
u, k
2* d * t
p* F
u) =
170.5 kNɸR
n= ɸ * n
t* min(r
n1, r
n2) =
743.26 kN Ratio CapacityV
u
f
* R
n Ratio 65<
743.3 0.09 Safe (OK)5.9 Yielding Strength Due Axial Load (Shear Plate)
Damand Pu = 65 kN
ɸ =
0.90A
g= L
p* t
p=
2748.0 mm 2ɸR
n= ɸ * F
y* A
g=
593.6 kN Ratio CapacityV
u
f
* R
n Ratio 65<
594 0.11 Safe (OK)5.10 Rupture Due To Axial Load (Shear Plate) Damand Pu = 65 kN
ɸ =
0.75A
g= L
p* t
p=
2748.0 mm 2L
h= d
h+ 1/16 (in) =
19.6 mmA
n= (L
sp- n
r* L
h) * t
p=
2042.9 mm 2A
e= Min(0,85 * Ag, A
n) =
2042.9 mm2 reduction coefficientɸR
n= ɸ * F
u* A
e=
566.9 kNV
u
f
* R
n RatioRatio Capacity65
<
567 0.11 Safe (OK)5.11 Tear Out Under Axial Load (Shear Plate)
Damand Pu = 65 kN
ɸ =
0.75dh
h= d
h+ 1/16 (in) =
19.6 mmdh
v= d
h+ 1/16 (in) =
19.6 mmN > 1 =
TrueL
sp= L
eh sp=
40.0 mmg =
50.0 mmA
nt= (s
- dh
v) * (n
r- 1) * t
p=
1065.9 mm 2A
gv= 2 * (L
sp+ (n
c- 1) * g) * t
p=
2160.0 mm 2A
nv= 2 * (L
sp+ (n
c- 1) * g - dh
h* (n
c- 0,5))* t
p=
1454.9 mm 2Is Stress Uniform =
TrueU
bs=
1.0 Rupture0,6 * F
u* A
nv+ U
bs* F
u* A
nt=
717.4 kN Yield0,6 * F
y* A
gv+ U
bs* F
u* A
nt=
705.4 kNɸRn
= ɸ * min(Rupture, Yield)=
529.1 kN Ratio CapacityV
u
f
* R
n Ratio 65<
529 0.12 Safe (OK)6. DESIGN CHECK (PLATE SUPORT SIDE GIRDER)
6.1 Weld Capacity (Girder)
Damand Vu = Sqrt (Vu 2 + Tu 2 ) = 296 kN
ɸ =
0.75 Eccentricitye = c
t+ sb =
146.0 mm MomentM = V
u* e =
31.5 kN.m TensionTu = (M / L
sp) + Pu =
202.5 kNL
tsp=
470.0 mmt
wmin= 0,6 * F
EXX* (2)
0,5 / 2* D/16(in) / (0,6 * F
u p) =
11.72 mmHas Weld on Both Site =
Yest
min= 2 * t
min=
23.4 mmReduction Factor
Rf =min(1, t
p/ t
min) =
0.341f
* R
nw= ɸ * 0,6 * F
exx* t
wl* 2 * L
=
1634.5 kNf
* R
nw= ɸ * R
nw* rf =
557.7 kNRatio Capacity
V
u
f
* R
n Ratio296
<
558 0.53 Safe (OK)7. DESIGN CHECK (BEAM)
7.1 Bolt Bearing under shear load (Beam)
Damand Vu = 216 kN
ɸ =
0.75L
c-end= max(0.0 , L
evb- d
h/ 2) =
31.0 mmL
c-spa= max(0.0 , s - d
h) =
46.0 mmɸr
n1= ɸ * (1,2 * l
c-end* t
w b* F
u) =
61.9 kNɸr
n2= ɸ * (1,2 * l
c-spa* t
w b* F
u) =
91.9 kNɸr
n (Max)= ɸ * (2,4 * d
b* t
w b* F
u) =
63.9 kNɸR
n= min (ɸr
n1, ɸr
n (Max)) + (n
t- 1) min (ɸr
n2, ɸr
n (Max)) =
381.6 kN Ratio CapacityV
u
f
* R
n Ratio7.2 Shear Yielding (Beam) Damand Vu = 216 kN
ɸ =
1.00L
p b= h
t b- (d
ct+ d
cb)=
250.0 mmA
g= L
pb* t
wb=
1500.0 mm2ɸR
n= ɸ * 0,60 * F
y* A
g=
216.0 kN Ratio CapacityV
u
f
* R
n Ratio 216>
216 1.00 Safe (OK)7.3 Shear Rupture (Beam)
Damand Vu = N/C kN
ɸ =
N/CL
h= d
h+ 1/16 (in) =
N/C mmL
e= L
p b- n
r* L
h=
N/C mmA
nv= L
e b* t
w b=
N/C mm2ɸR
n= ɸ * 0,60 * F
u* A
nv=
N/C kN Ratio CapacityV
u
f
* R
n Ratio N/C>
N/C N/C N/C7.4 Flexuarl Yealding (Beam)
Damand Vu = 216 kN
ɸ =
0.90L
p b= h
t- (d
ct+ d
cb)=
250.0 mmS
net=
297584 mm3e = c
t+ sb =
146.0 mmM
u= R
u* e =
31.5 kN.mɸM
n= ɸ * F
y* S
net=
64.3 kN.m Ratio CapacityM
u
f
* M
n Ratio 32<
64 0.49 Safe (OK)7.5 Flexuarl Rupture (Beam) Damand Vu = 216 kN
ɸ =
0.75S
net=
297584 mm 3e = c
t+ sb =
146.0 mmɸR
n= ɸ * F
u* S
net/ e =
565.6 kN Ratio CapacityV
u
f
* R
n Ratio 216<
566 0.38 Safe (OK)7.6 Local Web Buckling on coped section (Beam)
Damand Vu = N/C kN
h
o= d - (d
ct+ d
cb) =
N/C mmc / d <= 1
-- >0
f = {1 or 2} * c / d
=
N/Cc / h
o<= 1
-- >0
k = 2,2 * ( h
o/ c )
1.65=
N/Cf
d= 3,5 - 7,5 *( d
c/ d)
=
N/CF
cr= 0,62 *
p
* E * t
w 2/ ( c * h
o) * f
d=
N/C N/mm 2F
cr=
p
2* E / (12 * (1 - v
2)) * ( t
w/ h
o)
2* f
* k =
N/C N/mm2e = c
t+ sb =
N/C mmI
x= b * h
3/ 12 =
N/C mm4S
net=
N/C mm 3ɸR
n= (ɸ * Min ( F
y, F
cr) * S
net/ e =
N/C kN Ratio CapacityV
u
f
* R
n Ratio N/C>
N/C N/C N/C7.7 Block Shear (Beam)
Damand Vu = N/C kN
ɸ =
N/Cdh
h= d
h+ 1/16 (in) =
N/C mmdh
v= d
h+ 1/16 (in) =
N/C mmA
nt= (L
ehb- dh
h/ 2) * t
wb=
N/C mm2A
gv= (L
evb+ (n
r- 1) * s) * t
wb=
N/C mm2Rupture
0,6 * F
u* A
nv+ U
bs* F
u* A
nt=
N/C kN Yield0,6 * F
y* A
gv+ U
bs* F
u* A
nt=
N/C kNɸR
n= ɸ * min(Rupture, Yield)=
N/C kN Ratio CapacityV
u
f
* R
n Ratio N/C>
N/C N/C N/C7.8 Bolt Bearing Under Axial Load (Beam)
Damand Pu = 65 kN
ɸ =
0.75L
c-end= max(0.0 , L
eh b- d
h/ 2) =
127.0 mmL
c-spa= max(0.0 , g - d
h) =
110.0ɸR
n= ɸ * (min (k
1* L
c-end, k
2* d) +
min(k
1* L
c-spa, k
2* d) * (n
r- 1)) * t
p* F
u* n
c=
383.62 kN Ratio CapacityV
u
f
* R
n Ratio 65<
383.6 0.17 Safe (OK)7.9 Yielding Strength Due Axial Load (Beam)
Damand Pu = 65 kN
ɸ =
0.90A
g=
3765.8 mm 2ɸR
n= ɸ * F
y* A
g=
813.4 kN Ratio CapacityV
u
f
* R
n Ratio 65<
813 0.08 Safe (OK)7.10 Rupture Due To Axial Load (Beam)
Damand Pu = 65 kN
ɸ =
0.75L
h= d
h+ 1/16 (in) =
19.6 mmA
n= A
g b- n
c* t
p* L
h=
3530.8 mm 2x =
19.0 mm reduction coefficientU = 1 - x / l =
0.703A
e= U * A
n=
2482.6 mm 2ɸR
n= ɸ * F
u* A
e=
688.9 kN Ratio CapacityV
u
f
* R
n Ratio65
<
689 0.09 Safe (OK)7.11 Tear Out Under Axial Load (Beam)
Damand Pu = 65 kN
ɸ =
0.75dh
h= d
h+ 1/16 (in) =
19.6 mmdh
v= d
h+ 1/16 (in) =
19.6 mmN > 1 =
TrueL
b= a - sb =
136.0 mmg =
50.0 mmA
nt= (s
- dh
v) * (n
r- 1) * t
p=
533.0 mm 2A
gv= 2 * (L
b+ (n
c- 1) * g) * t
p=
2232.0 mm2A
nv= 2 * (L
b+ (n
c- 1) * g - dh
h* (n
c- 0,5))* t
p=
1879.4 mm2U
bs=
1.0 Rupture0,6 * F
u* A
nv+ U
bs* F
u* A
nt=
614.4 kN Yield0,6 * F
y* A
gv+ U
bs* F
u* A
nt=
518.6 kNɸR
n= ɸ * min(Rupture, Yield)=
388.9 kN Ratio CapacityV
u
f
* R
n Ratio 65<
389 0.17 Safe (OK)REMAKS
Connection Safe.!!CASE Ratio
Shear Plate
0.60 5.1 Bolt Shear (Shear Plate) 0.60 √
0.28 5.2 Bolt Bearing under shear load (Shear Plate) 0.28 √
0.55 5.3 Shear Yielding (Shear Plate) 0.55 √
0.64 5.4 Shear rupture (Shear Plate) 0.64 √
0.64 5.5 Block Shear (Shear Plate) 0.64 √
0.86 5.6 Flexuarl Rupture (Shear Plate) 0.86 √
0.30 5.7 Local Backling of Plate (Shear Plate) 0.30 √
0.09 5.8 Bolt Bearing Under Axial Load (Shear Plate) 0.09 √
0.11 5.9 Yielding Strength Due Axial Load (Shear Plate) 0.11 √
0.11 5.10 Rupture Due To Axial Load (Shear Plate) 0.11 √
0.12 5.11 Tear Out Under Axial Load (Shear Plate) 0.12 √
Girder
0.53 6.1 Weld Capacity (Girder) 0.53 √
Beam
0.57 7.1 Bolt Bearing under shear load (Beam) 0.57 √
1.00 7.2 Shear Yielding (Beam) 1.00 √
N/C 7.3 Shear Rupture (Beam) N/C N/C
0.49 7.4 Flexuarl Yealding (Beam) 0.49 √
0.38 7.5 Flexuarl Rupture (Beam) 0.38 √
N/C 7.6 Local Web Buckling on coped section (Beam) N/C N/C
N/C 7.7 Block Shear (Beam) N/C N/C
0.17 7.8 Bolt Bearing Under Axial Load (Beam) 0.17 √
0.08 7.9 Yielding Strength Due Axial Load (Beam) 0.08 √
0.09 7.10 Rupture Due To Axial Load (Beam) 0.09 √
0.17 7.11 Tear Out Under Axial Load (Beam) 0.17 √
Critical Ratio 7.2 Shear Yielding (Beam) 1.00
6. Quantity
No. Item Diameter
(mm) Thickness (mm) n (Pcs) Weight (kg) 1 Bolt M16 16 6 1.14 2 Single Plate - 12 1 5.79 Total Weight (kg) = 6.93
Harga per baja (Rp) = Rp 27,000 Total Harga (Rp) = Rp 187,230