MOE dan MOR
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PERHITUNGAN MODULUS OF RUPTURE (MOR) Benda uji Pmax (kg) Lebar cm 720-1.A 2500 1800 1.985 5.7 11.52 180 595.30 650.96 720-1.B 2566 1900 2.059 5.7 11.39 180 624.64 720-1.C 3000 2100 2.256 5.7 11.37 180 732.95 1440-2.A 2760 2500 2.788 5.7 11.40 180 671.04 631.00 1440-2.B 2400 1900 2.312 5.7 11.43 180 580.25 1440-2.C 2600 2200 1.883 5.6 11.41 180 641.70 3600-3.A 2700 2200 2.472 5.75 11.51 180 638.40 814.13 3600-3.B 3660 2800 2.855 5.6 11.37 180 909.63 3600-3.C 3800 3100 2.503 5.7 11.58 180 894.36 7200-4.A 3280 2300 2.489 5.7 11.31 180 810.36 831.28 7200-4.B 3210 2200 2.396 5.7 11.53 180 762.46 7200-4.C 3150 1700 2.515 5.65 10.44 180 921.03 8100-5.A 3400 2700 3.052 5.65 10.62 180 959.92 961.31 8100-5.B 3620 2700 2.478 5.7 10.86 180 970.17 8100-5.C 3750 2600 2.56 5.6 11.24 180 953.85 10800-6.A 3980 2700 2.485 5.65 11.07 180 1034.76 880.30 10800-6.B 3000 1900 2.339 5.7 10.48 180 862.85 10800-6.C 2800 1900 2.132 5.65 10.96 180 743.29 P proposional ( kg) Lendutan prop cm Tinggi rata rata cm panjang cm MOR kg/cm 2 MOR rata rata kg/cm 2
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Transcript of MOE dan MOR
PERHITUNGAN MODULUS OF RUPTURE (MOR)
Benda uji Pmax (kg) Lebar cm
720-1.A 2500 1800 1.985 5.7 11.52 180 595.30
650.96
720-1.B 2566 1900 2.059 5.7 11.39 180 624.64
720-1.C 3000 2100 2.256 5.7 11.37 180 732.95
1440-2.A 2760 2500 2.788 5.7 11.40 180 671.04
631.00
1440-2.B 2400 1900 2.312 5.7 11.43 180 580.25
1440-2.C 2600 2200 1.883 5.6 11.41 180 641.70
3600-3.A 2700 2200 2.472 5.75 11.51 180 638.40
814.13
3600-3.B 3660 2800 2.855 5.6 11.37 180 909.63
3600-3.C 3800 3100 2.503 5.7 11.58 180 894.36
7200-4.A 3280 2300 2.489 5.7 11.31 180 810.36
831.28
7200-4.B 3210 2200 2.396 5.7 11.53 180 762.46
7200-4.C 3150 1700 2.515 5.65 10.44 180 921.03
8100-5.A 3400 2700 3.052 5.65 10.62 180 959.92
961.31
8100-5.B 3620 2700 2.478 5.7 10.86 180 970.17
8100-5.C 3750 2600 2.56 5.6 11.24 180 953.85
10800-6.A 3980 2700 2.485 5.65 11.07 180 1034.76
880.30
10800-6.B 3000 1900 2.339 5.7 10.48 180 862.85
10800-6.C 2800 1900 2.132 5.65 10.96 180 743.29
P proposional ( kg)
Lendutan prop
cm Tinggi rata rata
cm panjang cm
MOR kg/cm2
MOR rata rata
kg/cm2
0 1 2 3 4 5 6 7 8 9 10 11 12 130.00
200.00
400.00
600.00
800.00
1000.00
1200.00
f(x) = - 3.9434278425x 2̂ + 72.5534509142x + 588.9359965045R² = 0.904662782
HUBUNGAN GAYA PENGEMPAAN DAN MODULUS OF RUPTURE (MOR)
Variasi gaya pengempaan (MPa)
Mod
ulus
of R
uptu
re (M
OR) (k
g/cm
2)
PERHITUNGAN MODULUS OF RUPTURE (MOR)
gaya kempa Tegangangeser
785.47298
28.564377329.6436752
0.6 34.720454131.865273
27.63134871.2 30.5129938
30.606962543.1027263
3 43.165467638.173684136.6310677
6 40.058271742.487206643.8798516
9 44.677275247.726693137.6717203
12 33.9280161
MOR Solid
kg/cm2
25 30 35 40 45 500.00
200.00
400.00
600.00
800.00
1000.00
1200.00
Perbandingan tegangan geser dan lentur
Tegangan geser (kg/cm2)
teg
an
ga
n l
en
tur
(kg
/cm
2)
25 30 35 40 45 500.00
200.00
400.00
600.00
800.00
1000.00
1200.00
Perbandingan tegangan geser dan lentur
Tegangan geser (kg/cm2)
teg
an
ga
n l
en
tur
(kg
/cm
2)
PERHITUNGAN MODULUS ELASTISITAS KAYU (MOE)
Benda uji Pmax P proposional Lebar
720-1.A 2500 1800 1.985 5.7 11.52720-1.B 2566 1900 2.059 5.7 11.39720-1.C 3000 2100 2.256 5.7 11.371440-2.A 2760 2500 2.788 5.7 11.401440-2.B 2400 1900 2.312 5.7 11.431440-2.C 2600 2200 1.883 5.6 11.413600-3.A 2700 2200 2.472 5.75 11.513600-3.B 3660 2800 2.855 5.6 11.373600-3.C 3800 3100 2.503 5.7 11.587200-4.A 3280 2300 2.489 5.7 11.317200-4.B 3210 2200 2.396 5.7 11.537200-4.C 3150 1700 2.515 5.65 10.448100-5.A 3400 2700 3.052 5.65 10.628100-5.B 3620 2700 2.478 5.7 10.868100-5.C 3750 2600 2.56 5.6 11.2410800-6.A 3980 2700 2.485 5.65 11.0710800-6.B 3000 1900 2.339 5.7 10.4810800-6.C 2800 1900 2.132 5.65 10.96
Lendutan proposional
Tinggi rata rata
0 1 2 3 4 5 6 7 8 9 10 11 12 13
0.00
50,000.00
100,000.00
150,000.00
200,000.00
250,000.00
f(x) = 44.157365788x^2 + 1684.69106772x + 137034.948644483R² = 0.5139121701
HUBUNGAN GAYA PENGEMPAAN DAN MODULUS ELASTISITAS (MOE)
Gaya Pengem paan (MPa)
Modulu
s E
lastisitas (M
OE) (k
g/c
m2)
129376.013673734 136085.22725.4351221456
93,853,904 kgcm2 98720996.4991A 9,385 9,8721B 138025.757775563 100128732.4511c 10,013
0 1 2 3 4 5 6 7 8 9 10 11 12 13
0.00
50,000.00
100,000.00
150,000.00
200,000.00
250,000.00
f(x) = 44.157365788x^2 + 1684.69106772x + 137034.948644483R² = 0.5139121701
HUBUNGAN GAYA PENGEMPAAN DAN MODULUS ELASTISITAS (MOE)
Gaya Pengem paan (MPa)
Modulu
s E
lastisitas (M
OE) (k
g/c
m2)
PERHITUNGAN MODULUS ELASTISITAS KAYU (MOE)
panjang MOE
180 129,376.01
134,495.66
87,737.53
180 136,085.22180 138,025.76 0.6180 131,995.90
142,100.81180 119,957.06180 174,349.47 1.2180 126,187.73
149,238.63180 147,889.30180 173,638.86 3180 139,335.30
133,497.87180 130,513.98180 130,644.34 6180 162,237.68
168,807.59180 185,617.84180 158,567.24 9180 176,078.73
159,644.28180 153,848.58180 149,005.54 12
0.55
44.157 1684.7 137035
-21.78 87737.53 136176 2224.1S
MOE rata rata
MOE Solid
134,495.66 87,737.53 1.532932 0.6
142,100.81 87,737.53 1.619613 1.2
149,238.63 87,737.53 1.700967 3
133,497.87 87,737.53 1.521559 6
168,807.59 87,737.53 1.924007 9
159,644.28 87,737.53 1.819567 12
0 2 4 6 8 10 12 140
0.5
1
1.5
2
2.5
f(x) = 0.0253495719x + 1.5520879513R² = 0.5120462548
kempa
ken
aik
an
MO
E t
hd
MO
E k
ayu
so
lid
0 2 4 6 8 10 12 140
0.5
1
1.5
2
2.5
f(x) = 0.0253495719x + 1.5520879513R² = 0.5120462548
kempa
ken
aik
an
MO
E t
hd
MO
E k
ayu
so
lid
PERHITUNGAN MEKANIKA SPESIFIK
Benda ujiMOR MOE
kerapatanmekanika spesifik mekanika spesifik rata rata mekanika spesifik mekanika spesifik rata rata
kg/cm2 kg/cm2 (mor/ kerapatan) (mor/ kerapatan) (moe/ kerapatan) (moe/ kerapatan)720-1.A 595.298 129376.014 0.726 820.192
925.097
178252.267
190912.009720-1.B 624.644 136085.218 0.701 890.449 193993.673720-1.C 732.950 138025.758 0.688 1064.651 200490.0881440-2.A 671.044 131995.900 0.721 930.286
838.206
182989.407
186985.2041440-2.B 580.253 119957.060 0.718 808.024 167044.4931440-2.C 641.703 174349.474 0.827 776.310 210921.7133600-3.A 638.402 126187.725 0.714 893.553
1063.706
176621.172
194831.7253600-3.B 909.633 147889.297 0.752 1209.940 196713.4263600-3.C 894.364 173638.858 0.822 1087.627 211160.5787200-4.A 810.362 139335.298 0.754 1074.953
1096.159
184829.547
175961.0117200-4.B 762.463 130513.976 0.769 991.311 169686.7527200-4.C 921.027 130644.339 0.754 1222.215 173366.7348100-5.A 959.922 162237.678 0.797 1203.764
1184.962
203449.707
207767.3088100-5.B 970.167 185617.842 0.839 1156.136 221198.3648100-5.C 953.850 158567.242 0.798 1194.988 198653.85410800-6.A 1034.756 176078.727 0.886 1167.655
1072.731
198693.405
195174.80210800-6.B 862.848 153848.579 0.789 1093.457 194966.73510800-6.C 743.288 149005.536 0.777 957.082 191864.266
0 1 2 3 4 5 6 7 8 9 10 11 12 130.000
200.000
400.000
600.000
800.000
1000.000
1200.000
1400.000
f(x) = - 4.9358021038x̂ 2 + 80.7077624633x + 825.9845500078R² = 0.8375275988
HUBUNGAN MEKANIKA SPESIFIK rata rata (MOR/KERAPATAN) DENGAN GAYA KEMPA
GAYA KEMPA (Mpa)
MO
R/K
ERA
PATA
N
0 1 2 3 4 5 6 7 8 9 10 11 12 13
160000.000
170000.000
180000.000
190000.000
200000.000
210000.000
220000.000
f(x) = 847.803355759x + 187445.318843216R² = 0.1348810235
HUBUNGAN MEKANIKA SPESIFIK (MOE/KERAPATAN) DENGAN GAYA KEMPA
GAYA KEMPA (Mpa)
MO
E/KERA
PATA
N
PERHITUNGAN MODULUS OF RUPTURE (MOR)
Benda uji Lebar cm panjang cm
0.6 720-1.A 2500 5.7 11.52 180 28.56
30.980.6 720-1.B 2566 5.7 11.39 180 29.640.6 720-1.C 3000 5.7 11.37 180 34.721.2 1440-2.A 2760 5.7 11.40 180 31.87
30.001.2 1440-2.B 2400 5.7 11.43 180 27.631.2 1440-2.C 2600 5.6 11.41 180 30.513 3600-3.A 2700 5.75 11.51 180 30.61
38.963 3600-3.B 3660 5.6 11.37 180 43.103 3600-3.C 3800 5.7 11.58 180 43.176 7200-4.A 3280 5.7 11.31 180 38.17
38.296 7200-4.B 3210 5.7 11.53 180 36.636 7200-4.C 3150 5.65 10.44 180 40.069 8100-5.A 3400 5.65 10.62 180 42.49
43.689 8100-5.B 3620 5.7 10.86 180 43.889 8100-5.C 3750 5.6 11.24 180 44.6812 10800-6.A 3980 5.65 11.07 180 47.73
39.7812 10800-6.B 3000 5.7 10.48 180 37.6712 10800-6.C 2800 5.65 10.96 180 33.93
Pmax (kg)
Tinggi rata rata
cmTegangan geser
kg/cm2 Tegangan geser
rata rata
kg/cm2
0 1 2 3 4 5 6 7 8 9 10 11 12 13
0.00
10.00
20.00
30.00
40.00
50.00
60.00
f(x) = - 0.1827305475x^2 + 3.1687975143x + 28.4301261334R² = 0.5442743789
0 1 2 3 4 5 6 7 8 9 10 11 12 13
0.00
5.00
10.00
15.00
20.00
25.00
30.00
35.00
40.00
45.00
50.00
f(x) = - 0.1827305475x^2 + 3.1687975143x + 28.4301261334R² = 0.8559540998
No Beban b h I E L a Lendutan
N mm mm mm mm mm1 0 57 115 7224156.25 8964.276 1800 600 0.0002 1000 57 115 7224156.25 8964.276 1800 600 3.1963 2000 57 115 7224156.25 8964.276 1800 600 6.3934 3000 57 115 7224156.25 8964.276 1800 600 9.5895 4000 57 115 7224156.25 8964.276 1800 600 12.7866 5000 57 115 7224156.25 8964.276 1800 600 15.9827 6000 57 115 7224156.25 8964.276 1800 600 19.1798 7000 57 115 7224156.25 8964.276 1800 600 22.3759 8000 57 115 7224156.25 8964.276 1800 600 25.572
10 9000 57 115 7224156.25 8964.276 1800 600 28.76811 10000 57 115 7224156.25 8964.276 1800 600 31.96512 11000 57 115 7224156.25 8964.276 1800 600 35.16113 12000 57 115 7224156.25 8964.276 1800 600 38.35714 13000 57 115 7224156.25 8964.276 1800 600 41.55415 14000 57 115 7224156.25 8964.276 1800 600 44.75016 15000 57 115 7224156.25 8964.276 1800 600 47.94717 16000 57 115 7224156.25 8964.276 1800 600 51.14318 17000 57 115 7224156.25 8964.276 1800 600 54.34019 18000 57 115 7224156.25 8964.276 1800 600 57.53620 19000 57 115 7224156.25 8964.276 1800 600 60.73321 20000 57 115 7224156.25 8964.276 1800 600 63.92922 21000 57 115 7224156.25 8964.276 1800 600 67.12523 22000 57 115 7224156.25 8964.276 1800 600 70.32224 23000 57 115 7224156.25 8964.276 1800 600 73.51825 24000 57 115 7224156.25 8964.276 1800 600 76.71526 25000 57 115 7224156.25 8964.276 1800 600 79.91127 26000 57 115 7224156.25 8964.276 1800 600 83.10828 27000 57 115 7224156.25 8964.276 1800 600 86.30429 28000 57 115 7224156.25 8964.276 1800 600 89.50130 29000 57 115 7224156.25 8964.276 1800 600 92.69731 30000 57 115 7224156.25 8964.276 1800 600 95.89432 31000 57 115 7224156.25 8964.276 1800 600 99.09033 32000 57 115 7224156.25 8964.276 1800 600 102.28634 33000 57 115 7224156.25 8964.276 1800 600 105.48335 34000 57 115 7224156.25 8964.276 1800 600 108.679
mm4
