Data Sondir S1
S2
Kedalama n (m) 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3 3.2 3.4 3.6
Konus 2
(kg/cm ) 20 10 10 5 5 5 5 8 8 10 8 25 35 40 47 10 15 35
S3
Kedalama n (m) 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3 3.2 3.4 3.6
Konus 2
(kg/cm ) 10 6 6 5 5 5 5 10 10 8 12 10 15 15 19 15 20 25
Kedalama n (m) 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3 3.2 3.4 3.6
Konus 2
(kg/cm ) 10 8 8 12 12 10 10 10 18 25 22 25 20 17 20 15 10 10
7.8 8 8.2 8.4 8.6 8.8
12 120 130 14 145 15 150 167 215
7.8 8 8.2 8.4 8.6 8.8 9
37 48 50 70 109 130 215
S4
S5
Kedalama n (m) 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3 3.2 3.4 3.6
Konus 2
(kg/cm ) 10 3 5 5 8 7 8 7 5 5 7 20 25 60 5 105 62 40
Kedalama n (m) 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3 3.2 3.4
Konus 2
(kg/cm ) 5 5 2 5 5 5 10 8 5 5 8 20 45 50 130 170 21 215
7.8 8 8.2 8.4 8.6 8.8 9
52 60 100 107 150 180 215
Soil Sample (m) Log Symbol
General Soil Description
Nilai Nspt
1.50
~
1.95
Lanau kelempungan, konsistensi sedang, abu-abu kecoklatan
6
3.00
~
3.45
Lanau kelempungan, konsistensi sedang, abu-abu kecoklatan
7
4.50
~
4.95
Lanau kelempungan, teguh, abu-abu kecoklatan
9
6.00
~
6.45
Lanau kelempungan, sangat teguh, abu-abu kehitaman
23
7.50
~
7.95
Lanau kelempungan, sangat teguh, abu-abu kehitaman
26
9.00
~
9.45
Lanau kelempungan, keras, abu kehitaman
32
10.50
~
10.95
Pasir campur gravel,padat, abu-abu
41
12.00
~
12.45
Pasir campur gravel,padat, abu-abu
45
13.50
~
13.73
Pasir, sangat padat, abu-abu kehitaman
50
15.00
~
15.45
Pasir campur gravel, sangat padat, hitam dan coklat
55
16.50
~
16.75
Pasir campur gravel, sangat padat,
50
STRATIFIKASI DAN PARAMETER TANAH Water Table :
Lapisan Tanah 1
5.5 m
Kedalaman (m) Jenis Tanah
Nilai Nspt
(t/m )
(t/m )
n
sat 3
3
σ
σ' 2
(t/m )
2
(t/m )
φ
Timbunan
1.00
1.38
1.52
0.97
0.48
0
~
0.70 3.60
Lanau
6.00
1.54
1.69
5.43
3.20
0
3.60
~
5.50
Lanau
9.00
1.58
1.74
8.44
6.93
0
4
5.50
~
8.50
Lanau
23.00
1.63
1.80
13.34
11.14
0
5
8.50
~
9.70
Lanau
32.00
1.66
1.82
15.33
11.44
0
6
9.70
~
12.50
Pasir
41.00
1.75
1.93
20.24
13.83
45
7
12.50
~
15.00
Pasir
50.00
1.83
2.02
24.82
15.76
47.5
8
15.00
~
18.65
Pasir
50.00
1.85
2.04
31.58
19.04
47.5
9
18.65
~
22.00
Pasir
50.00
1.94
2.13
38.07
22.00
47.5
10
22.00
~
27.50
Pasir
43.00
1.96
2.15
48.83
27.49
45.5
11
27.45
~
30.45
Pasir
46.00
1.97
2.17
54.75
30.14
46
~
2
0.00 0.70
3
cu
E
Su
(kg/cm )
(ton/m )
Poisson's Ratio (ν)
0.71
7.60
0.35
0.71
0.71
45.60
0.34
0.71
2.86
68.40
0.33
2.86
5.00
174.80
0.31
5.00
15.36
243.20
0.29
15.36
0
311.60
0.27
1.00
0
380.00
0.25
1.09
0
380.00
0.25
1.09
0
380.00
0.25
1.09
0
326.80
0.26
1.02
0
349.60
0.26
1.04
2
2
2
(kg/cm )
Shear Strain
STRATIFIKASI DAN PARAMETER TANAH Data Titik Sondir 5
Lapisan Tanah
qc Kedalaman Jenis Tanah 2 (m) (kg/cm )
ϒn
ϒsat
σ
σ'
(t/m )
(t/m )
(t/m )
(t/m )
2
φ
3
3
2
cu
E
Su
(kg/cm )
(ton/m )
Poisson's Ratio (ν)
(kg/cm )
Shear Strain
2
2
2
Dumping Ratio
Shear Modulus 571.4286
1
0.20
Timbunan
5.00
1.36
1.50
0.27
0.14
0
0.36
10.00
0.35
0.36
0.001
1600
0.035
2
0.40
Timbunan
5.00
1.37
1.51
0.55
0.55
0
0.36
10.00
0.35
0.36
0.001
1600
0.035
571.4286
3
0.60
Timbunan
2.00
1.37
1.51
0.82
0.82
0
0.14
4.00
0.35
0.14
0.001
1600
0.035
228.5714
4
0.80
Lanau
5.00
1.40
1.54
1.10
1.10
0
0.36
10.00
0.35
0.36
0.001
1600
0.035
571.4286
5
1.00
Lanau
5.00
1.43
1.57
1.39
1.39
0
0.36
10.00
0.35
0.36
0.001
1600
0.035
571.4286
6
1.20
Lanau
5.00
1.46
1.61
1.68
1.68
0
0.36
10.00
0.35
0.36
0.001
1600
0.035
571.4286
7
1.40
Lanau
10.00
1.47
1.62
1.97
1.97
0
0.71
20.00
0.35
0.71
0.001
1600
0.035
1142.857
8
1.60
Lanau
8.00
1.49
1.64
2.27
2.27
0
0.57
16.00
0.35
0.57
0.001
1600
0.035
914.2857
9
1.80
Lanau
5.00
1.50
1.65
2.57
2.57
0
0.36
10.00
0.35
0.36
0.001
1600
0.035
571.4286
10
2.00
Lanau
5.00
1.57
1.73
2.88
2.88
0
0.36
10.00
0.35
0.36
0.001
1600
0.035
571.4286
11
Lanau
8.00
1.68
1.85
3.22
3.22
0
0.57
16.00
0.35
0.57
0.001
1600
0.035
914.2857
12
2.20 2.4
Lanau
20
1.68
1.85
3.56
3.56
0
1.43
40.00
0.35
1.43
0.002
1600
0.035
2285.714
13
2.6
Lanau
45
1.71
1.88
3.90
3.90
0
3.21
90.00
0.35
3.21
0.003
1600
0.035
5142.857
14
2.8
Lanau
50
1.73
1.90
4.24
4.24
0
3.57
100.00
0.34
3.57
0.003
1500
0.035
5357.143
15
3
Lanau
130
1.77
1.95
4.60
4.60
0
9.29
260.00
0.33
9.29
0.006
1300
0.035
12071.43
16
3.2
Lanau
170
1.78
1.958
4.95
4.95
0
12.14286
340
0.33
12.14286
0.006
1300
0.035
15785.71
17
3.4
Lanau
215
1.78
1.958
5.31
5.31
0
15.35714
430
0.25
15.35714
0.006
1300
0.035
19964.29
TR-51E CNC TAPPING CENTER
SPEC
FICATION
A. Trial Dimensi 1. Dimensi "Bada Panjang : Lebar :
ondasi n" Pondasi 98 cm
0.98 m
39 cm
0.39 m
B. Perhitungan Pondasi Statis 1. Peritungan Daya Dukung (Metode Terzaghi) Pondasi diletakan pada kedalaman 2.4 m
C. Resume 1. Parameter Tanah dan Pondasi 2
Daya Dukung Tanah
3890.00
t/m
Modulus Geser (G)
898990.00
t/m
2
3. Data Peralatan Mesin Weight of Table
250
kg
Weight of Tools
3
kg
1. Centrifugal Force
2. Rocking Dynamic Moment
a. For Spindle
a. For Spindle
F0 = 0.001 x W x (rpm/1000) F0 =
3.245 kN
F0 =
0.325 ton
1.5
Mr =
1.000 tm b. For Tapping
b. For Tapping
Mr = Fo x (h + hC.G Machine)
F0 = 0.001 x W x (rpm/1000) F0 = 0.847 kN F0 =
1.5
Mr =
0.261 tm
0.085 ton
3. Geometri Pondasi
4. Geometri Mesin
"Badan Pondasi " Bp = 0.39 m Lp = 0.98 m Hp = 1.1 m "Kaki Pondasi " Bk = Lk = Hk =
Mr = Fo x (h + hC.G Machine)
3.28 1.09 0.58
m m m
B= L= H=
1.55 m 2.52 m 2.8 m
Berat Jenis Beton
2.40
t/m
3
7. Koefisien βv, βh, βr L/B
Koefisien
βv =
0.3
2.19
βh =
0.3
1
βr =
0.3
0.5
8. Vertical Excitation Analysis 8.1 Spring Constant a. Radius Equivalent (r ov ) for Rectangular Foundation
=
= 1 1.9. 1
rov =
8.2 Damping Ratio a. Effect of Depth of E
αv =
2.329
1.067 m
b. Mass Ratio b. Embedment Factor for Spring Constant Bv = (1-ν)/4 x W ηv = 1 + 0.6 x (1-ν) x (h/rov) ηv = 1.474
Bv =
0.362
c. Geometrical Dampi c. Spring Constant Coefficient
= βv =
2.19 Dv =
0.425
.
1.646
d. Equivalent Spring Constant for Rectangular Foundation d. Internal Damping
=
(1−)
. . .
Dvi =
0.05
bedment on Damping Ratio
− . ℎ/ /
8.3 Frequency Check a. Natural Frequency
= 60/ 2 ( /) Fnv = 12893.267 rpm
b. Resonance Frequency (rpm)
3
/(ϒ x rov )
= Frv =
g Ratio
1 − 2
# 2 x Dvt =
#NUM!
3.390428
c. Frequency Ratio
=
=
rv (spindle) =
rv (tapping) =
0.302
0.123
d. Magnification Factor
() = 1/
1 − ()
(2 () )
V(spindle) = Mv(spindle) + Fo(spindle) / Kv
Vrocking(spind
V(spindle) =
1.17E-07 m
Vrocking(spind
V(tapping) = Mv(tapping) + Fo(tapping) / Kv V(tapping) = 1.14E-07 m
Vrocking(tappi Vrocking(tappi
g. Vtotal Vtotal = (V(spindle) + Vrocking(spindle) )+ (V(tapping) + Vrockin Vtotal = 2.31E-07 m
RESONANCE NOT POSSIBLE !!!
le) =
R(spindle) x (l/2)
le) =
0.00E+00 m
ng) =
R(tapping) x (l/2) 0.00E+00 m
ng) =
(tapping) )
1. Centrifugal Force
2. Rocking Dynamic Moment
a. For Spindle
a. For Spindle
F0 = 0.001 x W x (rpm/1000) F0 =
3.245 kN
F0 =
0.325 ton
1.5
Mr =
1.000 tm b. For Tapping
b. For Tapping
Mr = Fo x (h + hC.G Machine)
F0 = 0.001 x W x (rpm/1000) F0 = 0.847 kN F0 =
1.5
Mr =
0.261 tm
0.085 ton
4. Geometri Pondasi
5. Geometri Mesin
"Badan Pondasi " Bp = 0.39 m Lp = 0.98 m Hp = 1.1 m "Kaki Pondasi " Bk = Lk = Hk =
Mr = Fo x (h + hC.G Machine)
3.28 1.09 0.58
m m m
B= L= H=
1.55 m 2.52 m 2.8 m
Berat Jenis Beton
2.40
t/m
3
3. Koefisien βv, βh, βr L/B
Koefisien
βv =
0.3
2.2
βh =
0.3
1
βr =
0.3
0.52
9. Horizontal Excitation Analysis 9.1 Spring Constant a. Radius Equivalent (r ov ) for Rectangular Foundation
=
9.2 Damping Ratio a. Effect of Depth of E
= 1 1.9. 2
αh =
roh =
3.761
1.067 m
b. Mass Ratio b. Embedment Factor for Spring Constant Bh = (7-8ν)/(32x ηh = 1 + 0.55 x (2-ν) x (h/roh) ηh = 2.395
Bh =
0.471
c. Geometrical Dampi c. Spring Constant Coefficient
= βh =
1 Dh =
0.288
.
1.579
d. Equivalent Spring Constant for Rectangular Foundation d. Internal Damping
= 2 1 . . . . Dhi = Kv =
11311275.126 t/m
0.05
bedment on Damping Ratio
− . ℎ/ /
9.3 Frequency Check a. Natural Frequency
= 60/ 2 ( /) Fnh = 14468.750 rpm
b. Resonance Frequency (rpm)
3
(1-ν))x W/(ϒ x roh )
= Frh =
g Ratio
1 − 2
# 2 x Dvt =
#NUM!
3.255032
c. Frequency Ratio
ℎ =
ℎ =
rh (spindle) =
rh (tapping) =
0.269
0.110
d. Magnification Factor
() = 1/
1 − ()
(2 () )
V(spindle) = Mh(spindle) + Fo(spindle) / Kh
Vrocking(spind
V(spindle) =
9.80E-08 m
Vrocking(spind
V(tapping) = Mh(tapping) + Fo(tapping) / Kh V(tapping) = 9.16E-08 m
Vrocking(tappi Vrocking(tappi
g. Vtotal Vtotal = (V(spindle) + Vrocking(spindle) )+ (V(tapping) + Vrockin Vtotal = 1.90E-07 m
RESONANCE NOT POSSIBLE !!!
le) = le) =
ng) = ng) =
(tapping) )
R(spindle) x (h+C.G) 0.000 m R(tapping) x (l/2) 0.000 m
1. Centrifugal Force
2. Rocking Dynamic Moment
a. For Spindle
a. For Spindle
F0 = 0.001 x W x (rpm/1000) F0 =
3.245 kN
F0 =
0.325 ton
1.5
Mr =
1.000 tm b. For Tapping
b. For Tapping
Mr = Fo x (h + hC.G Machine)
F0 = 0.001 x W x (rpm/1000) F0 = 0.967 kN F0 =
Mr = Fo x (h + hC.G Machine)
1.5
Mr =
0.298 tm
0.097 ton
4. Geometri Pondasi
5. Geometri Mesin
"Badan Pondasi "
B=
1.55 m
Bp =
0.39
m
L=
2.52 m
Lp = Hp =
0.98 1.1
m m
H=
2.8 m
"Kaki Pondasi " Bk = Lk =
3.28 1.09
m m
Hk =
0.58
m
h=
1.68
m
3. Koefisien βv, βh, βr L/B
Koefisien
βv =
0.3
2.2
βh =
0.3
1
βr =
0.3
0.54
10. Rocking Excitation Analysis 10.1 Spring Constant a. Radius Equivalent (r ov ) for Rectangular Foundation
=
/ 3
ror =
1.020 m
10.2 Dampin a. Effect of D
1 0.7
/
= αr =
b. Embedment Factor for Spring Constant
b. Mass Rati 3
ηr = 1 + 1.2 x (1-ν) x (h/ror) + 0.2 x (2-ν) x (h/ror)
Imachine =
ηr =
Imachine =
3.646
c. Spring Constant Coefficient
I foundation = I foundation =
βr =
0.54 Io =
d. Equivalent Spring Constant for Rectangular Foundation
=
1−
Io = Br = Br =
Kr = 111415421.972 t/m
c. Effective D
d. Total Dam Drt = Drt =
g Ratio epth of Embedment on Damping Ratio
1−
ℎ 0.6 2 − ℎ/ 3.153
10.3 Frequency Check a. Natural Frequency
=
/
Fnr =
4992.913 rpm
b. Resonance Frequency (rpm)
W x (h + C.G)
=
2 2
401.27472 t/m 2
2
Frr= 2
Σ(Wf /12.(a +b ) + Wf .k )
1 − 2
4961.795
c. Frequency Ratio
2
6.274519469 t/m
() = Imachine + Ifoundation 2
407.5492395 t/m
rr(spindle) = 5
3 x (1-ν)/8 x Io /(ϒ x ror )
(
0.779
d. Magnification Factor
5.028
() = 1/
1 − ()
amping Coefficient
Mr(spindle) =
2.43E+00
cek
R(tapping) = Mr(tapping) + Fr(tapping) / K R(tapping) = 1.11E+00 rad
ping Ratio
Dr + Di 0.079
11. Amplitudo Check 11.1 Total Amplitudo a. Vertical Amplitudo Vtotal = Vertical Vibr Vtotal =
2.31E-07
Vtotal =
0.000
b. Horizontal Amplitude Htotal = Horizontal Vi RESONANCE NOT POSSIBLE !!!
)
=
rr (tapping) =
0.318
(2 () )
Htotal = Htotal =
1.90E-07 0.000
Htotal =
0.00001
r
Velocity =
Horizontal V
Vh(spindle) = Vh(spindle) = Vh(tapping) = Vh(tapping) = Vh(total) = Vh(total) =
12. Soil Bearing
tion Amplitude + Rocking Vibration Amplitude x (B/2)
m cm
bration Amplitude + Rocking Vibration Amplitude x (h + C.G)
m cm in
0.01 in/sec
locity
(H(spindle) + Hrocking(spindle)) x (2 x π x f/60) 3.99E-05
cek
(H(tapping) + Hrocking(tapping) ) x (2 x π x f/60) 1.52E-05
cek
() () 4.27E-05
cek
heck
12.1 Transmissibility Force
12.3 Soil Bearing Preassur
a. Transmissibility Vertical Force
a. Fatigue Factor (ξ)
Pv (spindle) =
(Tv(spindle) x F0(spindle))
Pv (spindle) =
0.33926 0.3392613 13 ton
(ξ) =
1.5
b. Q all all Pv (tapping) = Pv (tapping) =
(Tv(tapping) x F0(tapping) ) 0.0979 0.0979828 8289 9 ton
Q all all =
0.75 x qu
Q all all = Pv (total) = Pv (total) =
Pv (spindle) + Pv (tapping) 0.4372 0.4372441 4419 9 ton
c. Psta+dyn
b. Transmissibility Horizontal Force
+ = Ph (spindle) = Ph (spindle) = Ph (tapping) = Ph(tapping) = Ph (total) = Ph (total) =
2917.5
±
ξ
(Th(spindle) x F0(spindle) ) 0.3381 0.3381531 5314 4 ton
Psta+dyn (+) =
20.23
Psta+dyn (-) =
6.78
(Th(tapping) x F0(tapping) ) 0.0977 0.0977621 6211 1 ton
+ =
±
ξ
Ph(spindle) + Ph (tapping) 0.4359 0.4359152 1525 5 ton
Transmissibility Moment
Psta+dyn (+) =
19.20
Psta+dyn (-) =
7.81
(Static + Dynamic,Static)
2
t/m
()
±
ξ () . ℎ 6
2
t/m
2
t/m
()
2
t/m
2
t/m
±
ξ 6
±
ξ 6
A. Trial Dimensi Pondasi 1. Dimensi "Badan" Pondasi Panjang : Lebar : Tinggi :
262 cm 165 cm 180 cm
2.62 m 1.65 m 1.8 m
2. Dimensi "Kaki" Pondasi Panjang : Lebar : Tinggi :
1500 cm 1500 cm 60 cm
15 m 15 m 0.6 m
3. Kontrol Berat Pondasi Berat Bada Berat Kaki Berat Total
18675.36 Kg 324000 Kg 342675.36 Kg
Berat Mesi
3200 kg
Kontrol :
BJ Beton =
2400 Kg/m3
Berat Pondasi > 3 x Berat Mesin 342675.36 > 3200 107 Kali Berat Mesin
OK!!
B. Perhitungan Pondasi Statis 1. Peritungan Daya Dukung (Metode Terzaghi) Pondasi diletakan pada kedalaman 2.4 m Maka, parameter tanahnya didapat :
φ 0
c
ϒn
ϒsat
kg/cm2
kg/m3
kg/m3
1.43
1.68
1.85
Nc
Nq
Nϒ
5.70
1.00
0.00
Rumus Daya Dukung Tanah Metode Terzaghi : qu = 1.3 C. Nc + q. Nq + 0.4 γm . B. Nγ qu = 451.73 t/m2 DD = 101639.81 t on Kontrol :
DD > Berat Mesin + Pondasi 101639.81 > 345.8754 OK!!
2. Distribusi Tegangan Metode 2 : 1
h (m)
Δσv'
(t/m2)
0.00
1.537
0 10
1 517
3. Perhitungan Settlement Dimana ;
B= L= Df = h=
Df/B
µ1
0
1
2
0.9
4
15.00 15.00 2.40 1.00
Df/B =
m m m m
Circle
0.88
1.00
6
0.875
8
0.87
10
0.865
12
0.863
14
0.86
16
0.856
18
0.854
20
0.85
L/B 2
5
10
0.36
0.36
0.36
0.36
0.36
2.00
0.47
0.53
0.63
0.64
0.64
4.00
0.58
0.63
0.82
0.94
0.94
6.00
0.61
0.67
0.88
1.08
1.14
8.00
0.62
0.68
0.9
1.13
1.22
10.00
0.63
0.7
0.92
1.18
1.3
20.00
0.64
0.71
0.93
1.26
1.47
30.00
0.66
0.73
0.95
1.29
1.54
Penurunan Seketika : Si = μ1 x μ2 (q.B/Es) Si = 0.008235 m
3.40 m mv (m2/ton)
Δσ
(ton/m2)
Sc (m)
2.4
40.00
0.0025
1.14
0.006854
2.6
90.00
0.0011
1.12
0.000248
2.8
100.00
0.0010
1.09
0.000218
3
260.00
0.0004
1.07
8.21E-05
3.2
340.00
0.0003
1.04
6.14E-05
3.4
430.00
0.0002
1.02
Total
Penurunan Total (S) :
1.54 100
1
Rumus Penurunan : Penurunan Primer : Sc = mv * Δσ * Δh
Kedalaman (m) E (kg/cm2)
q= Es =
Mencari µ2
h/B
Δh =
0.16 0.07 1.00 0.99 0.36
h/B = L/B = µ1 = µ2 =
4.75E-05 0.007512
0.015747 m 1.575 cm
t/m2 kg/cm2
1. Centrifugal Force
2. Rocking Dynamic Moment
a. For Spindle F0 = 0.001 x W x (rpm/1000)1.5 F0 = 0.781 kN F0 = 0.078 ton b. For Tapping F0 = 0.001 x W x (rpm/1000)1.5 F0 = 0.179 kN F0 =
a. For Spindle Mr = Fo x (h + hC.G Machine) Mr = 0.297 tm b. For Tapping Mr = Fo x (h + hC.G Machine) Mr = 0.068 tm
0.018 ton
3. Geometri Pondasi
4. Geometri Mesin
Bp = Lp = Hp =
"Badan Pondasi" 1.65 m 2.62 m 1.8 m
Bk =
"Kaki Pondasi" 15 m
Lk =
15
B= L= H=
1.55 m 2.52 m 2.8 m
7. Koefisien βv, βh, βr
m
Hk =
0.6
m
h=
2.4
m
βv = βh = βr =
5. Spek Mesin Kecepatan Spindle : Kecepatan Tapping :
8000 rpm 3000 rpm
Berat Total Mesin
3.453 ton
6. Parameter Tanah Daya Dukung Tanah
451.73
t/m2
Modulus Geser (G)
228.57
t/m2
Damping Ratio
0.04
Poisson's Ratio (ν)
0.35
Berat Jenis Tanah
1.68
t/m3
Berat Jenis Beton
2.40
t/m3
L/B 1.0 1.0 1.0
Koefisien 2.19 1 0.5
8. Vertical Excitation Analysis 8.1 Spring Constant a. Radius Equivalent (rov) for Rectangular Foundation
=
= 1 1.9. 1 − . ℎ/ /
8.3 Frequency Check a. Natural Frequency
= 60/ 2 ( /) Fnv =
rov =
8.2 Damping Ratio a. Effect of Depth of Embedment on Damping Ratio
αv =
180.749 rpm
1.290 b. Resonance Frequency (rpm)
8.463 m b. Mass Ratio
b. Embedment Factor for Spring Constant ηv = 1 + 0.6 x (1-ν) x (h/rov) ηv = 1.097
= Bv = (1-ν)/4 x W/(ϒ x rov3) Bv = 0.055 c. Geometrical Damping Ratio
c. Spring Constant Coefficient
= βv =
0.425
2.19 Dv =
. 2.331
Frv =
1 − 2
#NUM!
# 2 x Dvt =
4.731708 RESONANCE NOT POSSIBLE !!!
c. Frequency Ratio
=
=
rv (spindle) =
44.260
rv (tapping) =
16.598
d. Equivalent Spring Constant for Rectangular Foundation d. Internal Damping
=
(1 − )
Kv =
. . .
12644.594 t/m
Dvi =
0.04
d. Total Damping Ratio Dvt = Dv + Di Dvt = 2.366
d. Magnification Factor
() = 1/ Mv(spindle) =
() = 1/ Mv(tapping) =
1 − ()
5.08E-04
1−
(2 ()) OK
()
3.50E-03
(2 ())
OK
e. Transmissibility Factor
() = () 1 (2 ()) Tv(spindle) =
0.106
() = () 1 (2 ()) Tv(tapping) =
0.275
f. Vibration Amplitude V(spindle) = Mv(spindle) + Fo(spindle) / Kv V(spindle) = 6.22E-06 m
Vrocking(spindle) = Vrocking(spindle) =
R(spindle) x (l/2) 0.00E+00 m
V(tapping) = Mv(tapping) + Fo(tapping) / Kv V(tapping) = 1.70E-06 m
Vrocking(tapping) = Vrocking(tapping) =
R(tapping) x (l/2) 0.00E+00 m
g. Vtotal Vtotal = (V(spindle) + Vrocking(spindle))+ (V(tapping) + Vrocking(tapping)) Vtotal = 7.92E-06 m
9. Horizontal Excitation Analysis 9.1 Spring Constant a. Radius Equivalent (rov) for Rectangular Foundation
=
9.2 Damping Ratio a. Effect of Depth of Embedment on Damping Ratio
= 1 1.9. 2 − . ℎ/ /
= 60/ 2 ( /) Fnh =
αh = roh =
9.3 Frequency Check a. Natural Frequency
173.342 rpm
1.685 b. Resonance Frequency (rpm)
8.463 m b. Mass Ratio
b. Embedment Factor for Spring Constant ηh = 1 + 0.55 x (2-ν) x (h/roh) ηh = 1.258
c. Geometrical Damping Ratio c. Spring Constant Coefficient βh =
1
1 − 2
= Bh = (7-8ν)/(32x(1-ν))x W/(ϒ x roh3) Bh = 0.069
= Dh =
0.288
.
1.853
Frh =
#NUM!
# 2 x Dvt =
3.775443 RESONANCE NOT POSSIBLE !!!
c. Frequency Ratio
ℎ = rh (spindle) =
ℎ =
46.151
rh (tapping) =
17.307
d. Equivalent Spring Constant for Rectangular Foundation d. Internal Damping
d. Magnification Factor
= 2 1 . . . . Dhi = Kv =
0.04
() = 1/
11629.452 t/m d. Total Damping Ratio Dht = Dv + Di Dht = 1.888
Mh(spindle) =
1 − ()
4.68E-04
() = 1/
1 − ()
Mh(tapping) =
3.27E-03
(2 ()) OK
(2 ())
OK
e. Transmissibility Factor
() = () 1 (2 ()) Th(spindle) =
0.082
() = () 1 (2 () ) Th(tapping) =
0.214
f. Vibration Amplitude V(spindle) = Mh(spindle) + Fo(spindle) / Kh V(spindle) = 6.76E-06 m
Vrocking(spindle) = Vrocking(spindle) =
R(spindle) x (h+C.G) 0.000 m
V(tapping) = Mh(tapping) + Fo(tapping) / Kh V(tapping) = 1.82E-06 m
Vrocking(tapping) = Vrocking(tapping) =
R(tapping) x (l/2) 0.000 m
g. Vtotal Vtotal = (V(spindle) + Vrocking(spindle))+ (V(tapping) + Vrocking(tapping)) Vtotal = 8.58E-06 m
10. Rocking Excitation Analysis 10.1 Spring Constant a. Radius Equivalent (rov) for Rectangular Foundation
=
/ 3
ror =
10.2 Damping Ratio a. Effect of Depth of Embedment on Damping Ratio
1 0.7 1 −
/
1342.870 m
= αr =
ℎ 0.6 2 − ℎ /
10.3 Frequency Check a. Natural Frequency
=
Fnr =
/
375.843 rpm
1.000
b. Resonance Frequency (rpm) b. Embedment Factor for Spring Constant ηr = 1 + 1.2 x (1-ν) x (h/ror) + 0.2 x (2-ν) x (h/ror)3 ηr = 1.001
c. Spring Constant Coefficient βr =
Kr =
1−
1 − 2
=
Imachine = W x (h + C.G)2 Imachine = 49.86132 t/m2
Frr=
Ifoundatio Σ(Wf /12.(a2+b2) + Wf.k2) Ifoundatio 6151.17236 t/m2
#NUM!
#NUM!
c. Frequency Ratio
0.54
d. Equivalent Spring C onstant for Rectangular Foundation
=
b. Mass Ratio
() = Io= Imachine + Ifoundation Io= 6201.03368 t/m2
rr(spindle) =
Br = 3 x (1-ν)/8 x Io /(ϒ x ror5) Br = 0.000
() =
21.285
rr (tapping) =
7.982
d. Magnification Factor
9605802.627 t/m
() = 1/
1 − ()
(2 ())
c. Effective Damping Coefficient Mr(spindle) = ηr =
1.44E-07
OK
1.010
() = 1/ Mr(tapping) =
1 − ()
3.83E-07
(2 ())
OK
e. Transmissibility Factor
() = () 1 (2 ()) Tr(spindle) =
d. Geometrical Damping Ratio
= 0.15 / 1 Dr =
163458.025
() = () 1 (2 ()) ( )
Tr(tapping) =
1.00E+00
f. Vibration Amplitude R(spindle) = Mr(spindle) + Fr(spindle) / Kr R(spindle) = 5.47E-07 rad
e. Internal Damping Dri =
1.00E+00
0.04
d. Total Damping Ratio Drt = Dr + Di Drt = 163458.060
R(tapping) = Mr(tapping) + Fr(tapping) / Kr R(tapping) = 9.66E-07 rad
Moment Arm = Moment Arm =
(h + C.G) 3.800 m
11. Amplitudo Check 11.1 Total Amplitudo a. Vertical Amplitudo Vtotal = Vertical Vibration Amplitude + Rocking Vibration Amplitude x (B/2) Vtotal = 7.92E-06 m Vtotal = 0.001 cm b. Horizontal Am plitude Htotal = Horizontal Vibration Amplitude + Rocking Vibration Amplitude x (h + C.G) Htotal = 8.58E-06 m Htotal = 0.001 cm Htotal = 0.00034 in
c. Maximum Velocity
