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8/19/2019 Form Pengujian Marshall 60 (Edit)
1/27
Lokasi = Laboratorium Jurusan Teknik Sipil
No. TinggiAditif
BeratVolume
Spec. Gravity CampBerat Isi Gmm VIM VMA VF
!ering Basa" SS# Bul$
%mm& %'& %gram& %gram& %gram& %cc& %t(m)& %'& %'& %'
a c d e f g " * $ l m
1 68.7!
1"#7.$ 7!7. 1"##. %7 ".%"# ".%"# ".#6$ .861 16.18 6%." 66.!% 1"%8.7 71#.7 1"%8.7 "# ".%6# ".%6# ".#6$ #."%7 1#.711 71.
% 6." 1"%".7 7!$. 1"%1.7 ""." ".%61 ".%61 ".#6$ #.%7% 1#.8%" 7!.
&ata'rata 66.77 1"%$.76667 71!.66667 1"%8.% ".%#$ ".%#$ ".#6$ #.8"# 1."%# 68.
1 6$.1
!."
1"88.1 7#!.8 1"88.1 #7.% ".%# ".%# ".#6$ #.68 1.!86 6$.
" 66.! 1"%$.1 71.# 1"#".6 "7." ".%! ".%! ".#6$ #.788 1."!" 68.
% 71." 1"%6." 676.# 1"#1." 6#.8 ".18$ ".18$ ".#6$ 11.%%# "1.!%" #6.
&ata'rata 6$.!6 1"#.#6667 71!.866667 1"7.% "."$8 "."$8 ".#6$ 6.$"7 17.1!6 61.
1 66.$"
!."
1""# 6$8. 1"".6 "7.1 ".%"" ".%"" ".#6$ .$%! 16."1$ 6%.
" 6.8% 1"1".6 6$6.$ 1"1." 18.% ".%#! ".%#! ".#6$ .""# 1.$! 66.
% 6$."" 1"#!.!! 7!1.6 1"#%. #1.$ "."88 "."88 ".#6$ 7.%!% 17.##" 8.
&ata'rata 67.%" 1"".%%%% 6$$ 1""8.1 ".%17 ".%17 ".#6$ 6.1% 16.#17 6".
1 67.77
!.%
1""6. 68$. 1""7.# %7.$ "."8! "."8! ".#6$ 7.6%1 17.7%# 6.
" 67.%% 1"##.6 7!8.7 1"##. %.8 ".%"% ".%"% ".#6$ .$!! 16.1$" 6%.
% 67.#% 1"%1.7! 6$#.# 1"%!.% %.$ "."$8 "."$8 ".#6$ 6.8$% 17.!76 $.
&ata'rata 67.1 1"%#."6667 6$7.%%%%% 1"%#.!667 ".%!! ".%!! ".#6$ 6.8!8 17.!!1 6!.
1 68.1!
!.%
1"#1.# 7!6.6 1"##." %7.6 ".%!$ ".%!$ ".#6$ 6.#6 16.688 61.
" 67.! 1"#1.1! 7!6.# 1"#%.% %6.$ ".%1" ".%1" ".#6$ 6.%7 16.$$ 61.
% 6.8 1"%!.6! 7! 1"%1.8 "6.8 ".%%6 ".%%6 ".#6$ .%6$ 1.71$ 6.
&ata'rata 67.!! 1"%7.7 7!6 1"%$.7667 ".%1$ ".%1$ ".#6$ 6.!61 16.%% 6".
1 6."
!.#
1"#!.% 71$.$ 1"#!.8 "!.$ ".%81 ".%81 ".#67 %.#8" 1#.!%1 7.
" 67.#8%%% 1"%"." 6$7." 1"%#." %7 "."$ "."$ ".#67 6.$87 17.1% $.
% 66.88%%% 1"%7. 7!".8 1"%$.# %6.6 ".%!6 ".%!6 ".#67 6.18 16.7% 61.
F+,M-I, /,0IT-NGAN 0ASI /1NG-2IAN MA,S0A CAM/-,AN AC
8/19/2019 Form Pengujian Marshall 60 (Edit)
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&ata'rata 66.# 1"%6.66667 7!6.6%%%%% 1"%8.1%%% ".%"7 ".%"7 ".#67 .66% 1.$7% 6.166
(Sumber : Hasil Analisa Data, 2015)
0 0.2 0.25 0.3
4.8408 6.646 6.658 6.494 6
5.1407 4.619 4.9692 5.511 6.2
6.1416 6.815 6.6241 6.29 5.8
0 0.2 0.25 0.3
68.552 61.36 61.223 61.75 62
67.019 68.77 69.725 65.52 62
41.7380 59.25 61.92 63.91 6
60ᵒ
70ᵒ
80ᵒ
60ᵒ
70ᵒ
80ᵒ
0.2 0.25 0.3 0.35 0.4
2.000
3.000
4.000
5.000
6.000
7.000
8.000
9.000
10.000
11.000
12.000
6.$"76.1%
6.8!86.!61
.66%f(x) = - 18.601081567x^2 + 5.9212342698x + 6.3127997348
R² = 0.6322192619
Aditif Content vs VIM
Aditif Content (%)
V I M (
% )
0.2 0.25 0.3 0.35 0.40.00
1.00
2.00
3.00
4.00
5.00
6.00
7.00
8.00
,+NGGA #A.AM CAM/-,AN VIM %'&
60ᵒ 70ᵒ 80ᵒ Adit if Content (%)
VIM (%)
Su
(u
0.2 0.22 0.24 0.26 0.28 0.3 0.32 0.34 0.36 0.384.00
4.50
5.00
5.50
6.00
6.50
7.00
7.508.00
Rongga dalam Campuran VIM (%)
aditif content
VIM (%)
60ᵒ
70ᵒ
80ᵒ
Ron##" $"l" %"&u'"n
,"'!"s! suhu
Ron##" -'!s! /s&"l / (+)
8/19/2019 Form Pengujian Marshall 60 (Edit)
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0 0.2 0.25 0.3
38.793 36.65 36.111 35.57 35
70ᵒ 35.317 28.66 28.316 28.5 29
-19.039 16.91 20.238 21.3 20
60ᵒ
80ᵒ
1100
1200
Aditif Content vs Marshall Quotient
! ! )
0.2 0.25 0.3 0.35 0.4
52.00
54.00
56.00
58.00
60.00
62.00
64.00
66.00
68.00
70.00
72.00
,+NGGA T1,ISI AS/A. VFA %'&
60ᵒ 70ᵒ 80ᵒ AdiTIF cONTent (%)
vfa %'&
S
u
u
800
Marshall Quotient
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4
60.0
61.0
62.0
63.0
64.0
65.0
66.0
67.0
68.0
69.068.#8!
61."#7
6".68
6!.!6
6".$"
6.166
(*) = 1%".###$$8*+" ' 6".##8"$!#$8* , 68.1#68%1$
&- = !.886#!6"87
Aditif Content vs VFA
V F A A ( % )
Aditif Content (%)
0.000 1.000 2.000 3.000 4.000 5.00
* (+)
60ᵒ
70ᵒ
80ᵒ
52.00 54.00 56.00 58.00 60.00 62.00 64.00 66.00 68.00 70.00 72.00
0.2
0.25
0.3
0.35
0.4
/ +)
,"'!"s! suhu
80ᵒ
*"'sh"ll uo!n
0.2 0.22 0.24 0.26 0.28 0.3 0.32 0.34 0.36 0.38 0.4
55.00
57.00
59.00
61.00
63.00
65.00
67.00
69.00
71.00
73.00
75.00
Rongga terisi Aspal VFA (%)
suhu 6
Polyno
(suhu 6
suhu 7
Aditif content
VFA (%)
8/19/2019 Form Pengujian Marshall 60 (Edit)
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0 0.2 0.25 0
689.83 736.9 731.85 720
654.91 556.4 566.86 591
9.88 137.29 355 376.91 385
60ᵒ
70ᵒ
80ᵒ
4.000
5.000
6.000
7.000
#.(&
F l o $ ( ! ! )
0.2 0.25 0.3 0.35 0.4
200
300
400
500
600
700
800
900
6!7.1686%#.1#8
$7!.#7$
778.%%6
#7.68
(*) = ' "$8"1.!%"#$%1!6*+" , 17$#%.!6%18%767* ' 18#".%7%$%!!66&- = !.676""7%#6
M a r s h a l l Q u o t i e n t ( k
Aditif Content (%)
0.2 0.25 0.3 0.35 0.4
0
100
200
300
400
500
600
700
60ᵒ 70ᵒ 80ᵒ Aditif content (%)
Marshall Q"OTI#NT
Su
u
70ᵒ
80ᵒ
flo$
0.2
0.25
0.3
0.35
/&0/S0 S2
"$!
2!f
(+)
60ᵒ
70ᵒ
0 100 200 300 400 500 600 700
*"'sh"ll uo!n
,"'!"s! suhu
0.2 0.22 0.24 0.26 0.28 0.3 0.32 0.34 0.36 0.38 0.4100.00
200.00
300.00
400.00
500.00
600.00
700.00
800.00
Marshall Quotient
s
s
s
aditif content
Marshall Quotient
8/19/2019 Form Pengujian Marshall 60 (Edit)
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0 0.2 0.25 0.3 0.
5.1681 4.45316 4.451 4.5201 4.
4.967 4.76484 4.62 4.4379 4.2
-0.9427 4.41226 4.899 5.0443 4.8
60ᵒ
70ᵒ
80ᵒ
0.2
2.000
3.00060ᵒ
0.00 1.00 2.00 3.00 4.00 5.00 6.00
0.4
o
o
8/19/2019 Form Pengujian Marshall 60 (Edit)
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3a4ar /spal = .7
Gmm = Berat Jenis Campuran (Maks. Teoritis)
StailitasFlo7
Mars"all
Fac. !ore$si !ore$si 8uotient
$n mm $g(mm
p 9 r s
!.88 %#.$%6%"188 #.$%6 7!7.786
!.$# %#.6$7"6% 6."%6 6.%78
!.$ #!.6"717%7 #.16 $76.61
!.$" %6.7% .111 71$.1##
!.87 "8.$$"6%1% .!"1 77.#"8
!.$% %#.81$%7 %.8## $!.81
!.77 "1.8%"!" ."## #16.7"8
!.8$ "8. #.7!% 6!7.168
!.$" "8.8!7#" #."$7 67!.#!83arakteristik Marsall Spek.
!.$ "7.#"#1%6" #.#7$ 61"."8%
!.87 %1.1$"!8 .!1 6"".$7 M/ () Min 1
!.$1 "$.1#1 #.$ 6%#.1#8 0M () %'
!.$1 %.$$18 %.61# $$.$!1 / () 6
!.$1 %8.!6!""7 .""$ 7"7.868 Stabilitas (k) 8!!!.$1 #8.1%1"8" %.7#7 1"8#."8 lo9 (mm) Min %
!.$1! #!.7"8 #.1$7 $7!.#7$ Marsall :uotient (k;mm) Min "!
!.$! %1.%%%$ #.761 68.1%8
!.$" #!.!!$887 #.171 $$."#!
!.$ "$.86%"#688 #.!71 7%%.6!
!.$"1 %%.7%6 #.%%# 778.%%6
!.$6 1$.8"%%%1% 6.7 %!1.7"
!.$1 "$.6%$% #.16 711.%6
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!.$%1 "8.%8% .18" #7.68 ! #."%7 1#.711 71.1$7 %6.81! #.%7% 1#.8%" 7!.1$ #".67
!." #.68 1.!86 6$.1" %%.17
0.4 0.2 4.788 15.202 68.505 37.29
5.639 0.2 11.334 21.032 46.110 28.39
7.17078 0.25 5.930 16.219 63.437 31.1
5.19152 0.25 5.224 15.590 66.491 28.9
0.25 7.303 17.442 58.128 35.7
0.3 7.631 17.734 56.970 39.7
0.3 5.900 16.192 63.562 41.60.3 6.893 17.076 59.635 52.7
0.35 6.456 16.688 61.311 35.0
0.35 6.357 16.599 61.703 43.4
0.35 5.369 15.719 65.843 31.5
0.4 3.482 14.031 75.182 20.7
0.4 6.987 17.153 59.264 32.4
0.4 6.518 16.735 61.053 38.6
0.4
64.778
58.6002
64.78
0.2 0.25 0.3
1000.0
1500.0
2000.0
2500.0
3000.0
3500.0
4000.0
4500.0
5000.0
%"$ %1$
##7%
(*) = ' 88#7#."871#"86*+" , %!$1.%71#"871#* ' %$8#."1#"871#%&- = !."87##666
Aditif Content vs ta&ilit'
t a & i l i t '
Aditif Content (%)
suhu 60
Polyno!"l
(suhu 60)
suhu 70
(+)
0.2
0.25
0.3
0.35
0.418.00
20.00
Rongga Antara Agregat VMA (%)
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0.4
34.475304
30.439
16.621
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4
5.000
10.000
15.000
20.000
25.000
30.000
35.000
40.000
45.000
50.000
55.000
60.000
:;.6 :?.;56
@@.
8/19/2019 Form Pengujian Marshall 60 (Edit)
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0.4
676.586
682.438
364.746
#.$
#.1$7#.%%#
.18"
%%*+" ' #!.6#6666667* , 1!.1"8!666667
tif Content vs Flo$
0.2 0.22 0.24 0.26 0.28 0.3 0.32 0.34 0.3610.00
15.00
20.00
25.00
30.00
35.00
40.00
/$!!f onn
s"!l!"s
hu 60)
uhu 70)
0)
hu 70)
hu 80)
Flow
8/19/2019 Form Pengujian Marshall 60 (Edit)
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0.25 0.3 0.35 0.4
ditif Content (%)
0.22 0.24 0.26 0.28 0.3 0.32 0.34 0.36 0.38 0.4
suhu 60
Polyno!"l (suhu 60)
suhu 70
o#"'!h! (suhu 70)
Po' (suhu 70)
Polyno!"l (suhu 70)
suhu 80
Polyno!"l (suhu 80)
Polyno!"l (suhu 80)
Aditif content
8/19/2019 Form Pengujian Marshall 60 (Edit)
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5ersentase 3a4ar /spal
!." !." !.% !.% !.#
17.1!6 16#17 17!!1 16.%% 1.$7%
6.$"7 6.1% 6.8!8 6.!61 .66%
61."#7 6".68 6!.!6 6".$6" 6.166
%".$ %1.$6 ##.7% %6.67 %!.6!7
#.7!% #.$ #.1$7 #.%%# .18"
6!7.168 6%#.1#8 $7!.#7$ 778.%%7 #7.68
M: /C 0M M/ / ST/B0L0T/S L>? M:
7!7.786 ! #.8"# 1."%# 68.#8! %$.7!% .111 71$.1## %$7!.%
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6.%78 !." 6.$"7 17.1!6 61."#7 %".$! #.7!% 6!7.168$76.61 !." 6.1% 16.#17 6".68 %1.$6! #.$ 6%#.1#8
77.#"8 !.% 6.8!8 17.!!1 6!.!6 ##.7%! #.1$7 $7!.#7$
905.815 0.35 6.061 16.335 62.952 36.670 4.334 778.336
416.728 0.4 5.663 15.973 65.166 30.607 5.182 547.685
670.408
612.283
622.597
995.901
727.8681284.528
658.138
959.240
733.560
301.725
711.356
741.782
0 0.2 0.25 0.3 0.35 0.4
15.248 16.85784 16.86756 16.72019 16.4157225 15.95416
15.516 15.36291 15.36291 15.84348 16.4944425 17.3158
23.427 17.51612 16.70419 16.15857 15.8792675 15.86628
60ᵒ
70ᵒ
80ᵒ
22.0
Aditif Content vs VMA
25.00
,+NGGA ANTA,A AG,1GAT VMA %'&
0.4
%!6!.7
60
o!"l (suhu 60)
8/19/2019 Form Pengujian Marshall 60 (Edit)
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0.2 0.25 0.3 0.35 0.4
13.0
14.0
15.0
16.0
17.0
18.0
19.0
20.0
21.0
17.1!6
16.#17
17.!!1
16.%%1.$7%
(*) = ' 16.$$$!68%!8%*+" , .!"8%%6866* , 16.%!$#86"&- = !.6%1$7$%71
V M A ( % )
Aditif Content (%)
0 0.2 0.25 0.3 0.35 0.00
5.00
10.00
15.00
20.00
60ᵒ AdiTIF CONT#NT (%)
v!a (%)
sSu
u
Ron##" /n"'" /#'#" */ (+)
0.2
0.25
0.3
0.35
0.4
*/ (+)
"$!
!f(+)
70
'!h! (suhu 70)
' (suhu 70)
'!h! (suhu 70)
o!"l (suhu 70)
80
o!"l (suhu 80)
8/19/2019 Form Pengujian Marshall 60 (Edit)
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u 60
no!"l (suhu 60)
u 70
"'!h! (suhu 70)
' (suhu 70)
no!"l (suhu 70)
u 80
no!"l (suhu 80)
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8/19/2019 Form Pengujian Marshall 60 (Edit)
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8/19/2019 Form Pengujian Marshall 60 (Edit)
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8/19/2019 Form Pengujian Marshall 60 (Edit)
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8/19/2019 Form Pengujian Marshall 60 (Edit)
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0.2 0.22 0.24 0.26 0.28 0.3 0.32 0.34 0.36 0.38 0.4.00
4.50
5.00
5.50
6.00
6.50
7.00
7.50
8.00
6.81456
6.646
Rongga dalam Campuran VIM (%)
aditif content
flo$ (!!)
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60ᵒ
70ᵒ
80ᵒ
0.00 1.00 2.00
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3.00 4.00 5.00 6.00
4.87006
4.31274
4.764836
flo$
0.2
0.25
0.3
0.35
0.4
o
"$!
2!f
(+)
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Formulir /er"itungan Sifat Volumetri$ Beton aspal padat %/er"itungan erdasa
Ben4a Ai B1 Tanal " Maret "!1
i4entiikasi ben4a uAi 3omposisi 4ari ben4a uAi
Berat Aenis G 5roporsi @ampuran 4ari bekti Bulk Berat ben4a u
1 " %
1 .areat kasar G1 ".6%" ".7 51 %.$ %.$ %.$ %.$ %.$ %.$ %.$ %.$ %.$
" .areat alus G" ".67 ".6% 5" %$.!6 %$.!6 %$.!6 %$.!6 %$.!6 %$.!6 %$.!6 %$.!6 %$.!6
% .baan penisi G% ".$7 ".$7 5% 7 7 7 7 7 7 7 7 7
# @ampuran areat Gs ' ' 5s 1!!.! 1!!.! 1!!.! 1!!.! 1!!.! 1!!.! 1!!.! 1!!.! 1!!.!
ka4ar aspal Ga 1.!7 5a .7 .7 .7 .7 .7 .7 .7 .7 .7
Berat Jenis G 5roporsi @ampuran 4ari be
ekti Bulk Ben4a uAi k
1 " %
6 ./reat 3asar G1 ".6%" ".7 51 1.!" 1.!" 1.!" 1.!" 1.!" 1.!" 1.!" 1.!" 1.!"
7 ./reat 2alus G" ".67 ".6% 5" %6.$# %6.$# %6.$# %6.$# %6.$# %6.$# %6.$# %6.$# %6.$#8 .Baan 5enisi G% ".$7 ".$7 5% 6.# 6.# 6.# 6.# 6.# 6.# 6.# 6.# 6.#
$ @ampuran areat G# ' ' 5s $#.#$ $#.#$ $#.#$ $#.#$ $#.#$ $#.#$ $#.#$ $#.#$ $#.#$
1! ka4ar aspal G 1.!7 5a .## .## .## .## .## .## .## .## .##
1# berat Aenis bulk aeat @amp. Gsb ".61$ ".61$ ".61$ ".61$ ".61$ ".61$ ".61$ ".61$ ".61$
1 berar Aenis maksimum ben4a uAi Gmm ".#6$ ".#6$ ".#6$ ".#6$ ".#6$ ".#6$ ".#6$ ".#6$ ".#6$
16 berat Aenis bulk ben4a uAi Gmb ".%"# ".%6# ".%61 ".%# ".%! ".18$ ".%"" ".%#! "."88
17 berat Aenis eekti areat @amp. Gse ".667 ".667 ".667 ".667 ".667 ".667 ".667 ".667 ".667
18 ka4ar aspal terabsorbsi 5ab !.7%7 !.7%7 !.7%7 !.7%7 !.7%7 !.7%7 !.7%7 !.7%7 !.7%7
1$ ka4ar aspal eekti 5ae #.7#1 #.7#1 #.7#1 #.7#1 #.7#1 #.7#1 #.7#1 #.7#1 #.7#1
"! persentase pori antara areat M/ 16.18 1#.711 1#.8%" 1.!86 1."!" "1.!%" 16."1$ 1.$! 17.##"
"1 persentase pori 4alam @ampuran 0M .861 #."%7 #.%7% #.68 #.788 11.%%# .$%! .""# 7.%!%""persentase pori terisi aspal / 6%.7"%6 71.1$7"8 7!.1$ 6$.1"##% 68.!#78 #6.1!$ 6%.#%67$ 66.#$1%1 8.1"8!#
"% tebal ilm aspal m
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0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4
2.000
3.000
4.000
5.000
6.000
7.000
8.000
9.000
10.000
11.000
12.000
#.8"#
6.$"76.1%
6.8!86.!61
.66%
f(x) = - 35.1566051089x̂ 2 + 16.0590578034x + 4.8408189211
R² = 0.8527956845
Aditif Content vs VIM
Aditif Content (%)
V I M (
% )
0.2 0.25 0.3 0.35
2.000
3.000
4.000
5.000
6.000
7.000
8.000
9.000
10.000
11.000
12.000
6.$"76.1%
6.8!86.!61f(x) = - 18.601081567x̂ 2 + 5.9212342698x + 6.3127997348
R² = 0.6322192619
Aditif Content vs VIM
Aditif Content (%)
V I M (
% )
8/19/2019 Form Pengujian Marshall 60 (Edit)
26/27
0 0.05 0.1 0.15 0.2 0.25
13.0
14.0
15.0
16.0
17.0
18.0
19.0
20.0
21.0
22.0
1."%#
17.1!616.#(*) = ' %1.#1$"1$%#$*+" , 1#.%%%!88$* , 1."#8#7%7861
&- = !.8%"6%!%
Aditif Content vs VMA
V M A ( % )
Aditif Content (%)
0 0.05 0.1 0.15 0.2 0.25
20.000
25.000
30.000
35.000
40.000
45.000
50.000
55.000
%$.7!%
%".$! %1.$6!
f(x) = - 0.4355788097x^2 - 10.6195465446x + 38.7
R² = 0.0802561728
Aditif Content vs ta&ilit'
%ta&ilit'
(kn)
Aditif Content (%)
0.4
.66%
8/19/2019 Form Pengujian Marshall 60 (Edit)
27/27
0.3 0.35 0.4
1717.!!1
16.%%1.$7%
0.3 0.35 0.4
##.7%!
%6.67!
%!.6!7
927032919