kolom
DESCRIPTION
kolomTRANSCRIPT
Nama Kelompok Project Work
Wahyu Rohmad Dianto (1113030013)
Ersa Nur Fauziah (1113030034)
Data
B = mm
H = mm
d' = mm
d = mm
Fy = Mpa
F'c = Mpa
ɛs =
ɛy =
Es =
ρ =
Jawab
Ast = ρ x B x H As = As' As1 = As2
= mm2
= 40% = 60%
= mm2
= mm2
1. e = 0
Po = 0,85 x F'c x (Ag-As total) +( As total x Fy)
=
= kN
Pn max = 0,8 x Po
= kN
2. e = balance
X =
d-X
x = mm
Cc = 0,85 x f'c x a x b
= X N
= kN
T = As x Fy
= kN
ɛs1 = X-d' x ɛs2 = X-190 x ɛs3 = 360-X x
X X X
= mm = =
Cs1 = As x E x ɛs1 Cs2 = As2 x E x ɛs2 Cs3 = As3 x E x ɛs3
= N = N = N
= kN = kN = kN
Pb + T + Cs3 = Cc + Cs1 + Cs2
Pb = Cc + Cs1 + Cs2 - T - Cs3
= kN
Perhitungan Momen
x =
T x = kN.m
Cs1 x = kN.m
Cc x = kN.m
Cs2 x = kN.m
Cs3 x = kN.m
= kN.m
256235.2941
256.2352941
0.000529412
3942.098578
Gaya
968
968
3647.9025
256.2352941
227.48
227.48
528.7634674
46.78666667
21.78
550.4313725
Jarak
0.235
0.235
0.14495
0.085
0.085
306
11.92125
968
0.0011372550.002607843
968000
968
Momen
550431.3725
550.4313725
9979.475
9979475
7983.58
6050
2420 1452
KONSTRUKSI BETON
DIAGRAM INTERAKSI KOLOM
550
550
40
510
400
30
0.003
0.002
200000
0.02
3647.9025
1052.290134
0.003
0.002
0.003 0.003 0.003
Tarik P < Pb
P = 3000 kN
Asumsi tulangan tarik sudah meleleh
mencari nilai x
P + T + Cs3 - Cs2 - Cs1 - Cc = 0
3000 + 968 + - - 968 - 11921,25X = 0
X X
3000 + 968 + - 871.2 X - 871.2 X + - 968 - X = 0
X X
- 11.92 X2
+ X + = 0
X = mm
Perhitungan Momen
x =
T x = kN.m
Cs1 x = kN.m
Cc x = kN.m
Cs2 x = kN.m
Cs3 x = kN.m
OK = kN.m
Tekan P > Pb
P = 5000 kN
Asumsi tulangan tarik sudah meleleh
mencari nilai x
P + T + Cs3 - Cs2 - Cs1 - Cc = 0
5000 + 968 + - - 968 - 11921,25X = 0
X X
5000 + 968 + - 871.2 X - 871.2 X + - 968 - X = 0
X X
- X2
+ 3258 X + = 0
X = mm
Perhitungan Momen
x =
T x = kN.m
Cs1 x = kN.m
Cc x = kN.m
Cs2 x = kN.m
Cs3 x = kN.m
OK = kN.m
3. e =
Tekan P = 0
P = 0 kN
Asumsi tulangan tarik sudah meleleh
mencari nilai x
P + T + Cs3 - Cs2 - Cs1 - Cc = 0
0 + 968 + - - 968 - 11921,25X = 0
X X
0 + 968 + - 871.2 X - 871.2 X + - 968 - X = 0
- X2
+ X + = 0
X = mm
Perhitungan Momen
x =
T x = kN.m
Cs1 x = kN.m
Cc x = kN.m
Cs2 x = kN.m
Cs3 x = kN.m
OK = kN.m
Tabel Interaksi Kolom
11.92125
968 0.235 227.48
313632
Gaya Jarak
-44.20713079 0.085 -3.757606117
1002.747847
4521.061329 0.113821343 514.5932722
434.7315412 0.085 36.95218101
968 0.235 227.48
968 0.235 227.48
Gaya
e= 819.7963792 0
165528 11.92125
X X
11.92125 479160
Balance 1052.290134 3942.098578
Tarik
-308.5447331 0.085 -26.22630232
1364.10581 0.085 115.9489939
1013.27449 3000
Momen
819.7963792
0 0 7983.58
Tekan 1002.747847 5000
968 0.235 227.48
1672.650544 0.164477684 275.1136876
140.308
5000
165528
1257.6 479160
260.053
Gaya Jarak
968
968
3100.150965
(1452)(X-190)(600)
(1452)(360-X)(600) (1452)(X-190)(600)
Jarak Momen
11.92125 -1742.4 479160
379.2438988
165528
(1452)(360-X)(600) (1452)(X-190)(600)
313632
0
3000 1013.27449
(1452)(360-X)(600)
313632
11.92125
Momen
227.48
227.48
509.9056506
19.9480035
28.46083548
234.6823941
334.8333586
0.235
0.235
0.164477684
0.085
0.085
e Mn P
0
1000
2000
3000
4000
5000
6000
7000
8000
9000
0 200 400 600 800 1000 1200
Diagram interaksi p=2%
Diagram interaksi p=2%
Pn
Mn
Data
B = mm
H = mm
d' = mm
d = mm
Fy = Mpa
F'c = Mpa
ɛs =
ɛy =
Es =
ρ =
Jawab
Ast = ρ x B x H As = As' As1 = As2
= mm2
= 40% = 60%
= mm2
= mm2
1. e = 0
Po = 0,85 x F'c x (Ag-As total) +( As total x Fy)
=
= kN
Pn max = 0,8 x Po
= kN
2. e = balance
X =
d-X
x = mm
Cc = 0,85 x f'c x a x b
= X N
= kN
T = As x Fy
= kN
ɛs1 = X-d' x ɛs2 = X-190 x ɛs3 = 360-X x
X X X
= = =
Cs1 = As x E x ɛs1 Cs2 = As2 x E x ɛs2 Cs3 = As3 x E x ɛs3
= N = N = N
= kN = kN = Kn
Pb + T + Cs3 = Cc + Cs1 + Cs2
Pb = Cc + Cs1 + Cs2 - T - Cs3
= Kn
Perhitungan Momen
x =
T x = kN.m
Cs1 x = kN.m
Cc x = kN.m
Cs2 x = kN.m
Cs3 x = kN.m
= kN.m
Tarik P < Pb
P = 3000 kN
Asumsi tulangan tarik sudah meleleh
mencari nilai x
P + T + Cs3 - Cs2 - Cs1 - Cc = 0
3000 + 1210 + - - 1210 - 11921,25X = 0
X X
3000 + 1210 + - 1089 X - 1089 X + - 1210 - X = 0
- X2
+ X + = 0
X = mm
550
0.003
0.002
200000
0.025
7562.5
550
40
510
400
30
306
11.92125
3647.9025
1210
0.002607843
3025 1815
10545906.25
10545.90625
8436.725
320.2941176
4015.647598
Gaya Jarak Momen
688039.2157
688.0392157
0.000529412
320294.11761210000
1210
0.001137255
3647.9025 0.14495 528.7634674
688.0392157 0.085 58.48333333
1210 0.235 284.35
1210 0.235 284.35
(1815)(360-X)(600) (1815)(X-190)(600)
392040 206910 11.92125
320.2941176 0.085 27.225
1183.171801
261.260
X X
11.92125 822 598950
0.003
0.002
0.003 0.003 0.003
Perhitungan Momen
x =
T x = kN.m
Cs1 x = kN.m
Cc x = kN.m
Cs2 x = kN.m
Cs3 x = kN.m
OK = kN.m
Tekan P > Pb
P = 5000 kN
Asumsi tulangan tarik sudah meleleh
mencari nilai x
P + T + Cs3 - Cs2 - Cs1 - Cc = 0
5000 + 1210 + - - 1210 - 11921,25X = 0
X X
5000 + 1210 + - 1089 X - 1089 X + - 1210 - X = 0
- X2
+ X + = 0
X = mm
Perhitungan Momen
x =
T x = kN.m
Cs1 x = kN.m
Cc x = kN.m
Cs2 x = kN.m
Cs3 x = kN.m
OK = kN.m
3. e =
Tekan P = 0
P = 0 kN
Asumsi tulangan tarik sudah meleleh
mencari nilai x
P + T + Cs3 - Cs2 - Cs1 - Cc = 0
0 + 1210 + - - 1210 - 11921,25X = 0
X X
0 + 1210 + - 1089 X - 1089 X + - 1210 - X = 0
- X2
+ X + = 0
X = mm
Perhitungan Momen
x =
T x = kN.m
Cs1 x = kN.m
Cc x = kN.m
Cs2 x = kN.m
Cs3 x = kN.m
OK = kN.m
Tabel Interaksi Kolom
Gaya Jarak Momen
1210 0.235 284.35
297.0300291 0.085 25.24755247
411.5746818 0.085 34.98384795
1210 0.235 284.35
3114.544652 0.16396454 510.6748813
206910 11.92125
X X
11.92125 2822
2999.999999 1139.606282
(1815)(360-X)(600) (1815)(X-190)(600)
392040
1210 0.235 284.35
1210 0.235 284.35
598950
371.839
Gaya Jarak Momen
0.085 -2.947064452
5000 1129.515778
4432.779887 0.116968631 518.496197
532.5487662 0.085 45.26664513
X
11.92125 -2178 598950
(1815)(360-X)(600) (1815)(X-190)(600)
392040 206910 11.92125
128.56214611512.495836 0.085
1796.507526 0.16396454 294.5635302
-284.0116915 0.085 -24.14099378
967.6846826
1210 0.235 284.35
1210 0.235 284.35
150.698
Gaya Jarak Momen
X
e
0
Tekan
P
0
-34.67134649
Mn
5000
8436.7250
1129.515778
Balance
Tarik
e=
4015.6475981183.171801
30001139.606282
0967.6846826
0
1000
2000
3000
4000
5000
6000
7000
8000
9000
0 200 400 600 800 1000 1200 1400
Diagram interaksi p = 2,5%
Diagram interaksi p = 2,5%
Pn
Mn
Data
B = mm
H = mm
d' = mm
d = mm
Fy = Mpa
F'c = Mpa
ɛs =
ɛy =
Es =
ρ =
Jawab
Ast = ρ x B x H As = As' As1 = As2
= mm2 = 40% = 60%
= mm2 = mm2
1. e = 0
Po = 0,85 x F'c x (Ag-As total) +( As total x Fy)
=
= kN
Pn max = 0,8 x Po
= kN
2. e = balance
X =
d-X
x = mm
Cc = 0,85 x f'c x a x b
= X N
= kN
T = As x Fy
= kN
ɛs1 = X-d' x ɛs2 = X-190 x ɛs3 = 360-X x
X X X
= = =
Cs1 = As x E x ɛs1 Cs2 = As2 x E x ɛs2 Cs3 = As3 x E x ɛs3
= N = n = N
= kN = Kn = Kn
Pb + T + Cs3 = Cc + Cs1 + Cs2
Pb = Cc + Cs1 + Cs2 - T - Cs3
= Kn
Perhitungan Momen
x =
T x = kN.m
Cs1 x = kN.m
Cc x = kN.m
Cs2 x = kN.m
Cs3 x = kN.m
= kN.m
Tarik P < Pb
P = 3000 kN
Asumsi tulangan tarik sudah meleleh
mencari nilai x
P + T + Cs3 - Cs2 - Cs1 - Cc = 0
3000 + 1452 + - - 1452 - 11921,25X = 0
X X
3000 + 1452 + - 1307 X - 1307 X + - 1452 - X = 0
- X2
+ X + = 0
X = mm
3630 2178
550
550
40
510
400
30
0.003
0.002
200000
0.03
9075
306
11.92125
3647.9025
1452
0.003
11112337.5
11112.3375
8889.87
0.003
0.002
0.003
0.000529412
384352.9412
384.3529412
4089.196618
0.003
0.001137255
825647.0588
825.6470588
0.002607843
1452000
1452
1452 0.235 341.22
3647.9025 0.14495 528.7634674
Gaya Jarak Momen
1452 0.235 341.22
1314.053467
(2178)(360-X)(600) (2178)(X-190)(600)
470448
825.6470588 0.085 70.18
384.3529412 0.085 32.67
718740
262.282
248292 11.92125
X X
11.92125 386.4
Perhitungan Momen
x =
T x = kN.m
Cs1 x = kN.m
Cc x = kN.m
Cs2 x = kN.m
Cs3 x = kN.m
OK = kN.m
Tekan P > Pb
P = 5000 kN
Asumsi tulangan tarik sudah meleleh
mencari nilai x
P + T + Cs3 - Cs2 - Cs1 - Cc = 0
5000 + 1452 + - - 1452 - 11921,25X = 0
X X
5000 + 1452 + - 1307 X - 1307 X + - 1452 - X = 0
- X2
+ X + = 0
X = mm
Perhitungan Momen
x =
T x = kN.m
Cs1 x = kN.m
Cc x = kN.m
Cs2 x = kN.m
Cs3 x = kN.m
OK = kN.m
3. e =
Tekan P = 0
P = 0 kN
Asumsi tulangan tarik sudah meleleh
mencari nilai x
P + T + Cs3 - Cs2 - Cs1 - Cc = 0
0 + 1452 + - - 1452 - 11921,25X = 0
X X
0 + 1452 + - 1307 X - 1307 X + - 1452 - X = 0
- X2
+ X + = 0
X = mm
Perhitungan Momen
x =
T x = kN.m
Cs1 x = kN.m
Cc x = kN.m
Cs2 x = kN.m
Cs3 x = kN.m
OK = kN.m
Tabel Interaksi Kolom
Gaya Jarak Momen
3126.731227 0.16396454 512.6730475
360.1401211 0.085 30.61191029
1452 0.235 341.22
1452 0.235 341.22
(2178)(360-X)(600) (2178)(X-190)(600)
470448 248292 11.92125
486.8713495 0.085 41.38406471
2999.999999 1267.109023
365.248
Gaya Jarak Momen
1452 0.235 341.22
X X
11.92125 2386.4 718740
627.00993 0.085 53.29584405
-18.77670943 0.085 -1.596020302
1452 0.235 341.22
4354.21336 0.119769577 521.5022931
248292 11.92125
X X
11.92125 -2613.6
5000 1255.642117
(2178)(360-X)(600) (2178)(X-190)(600)
470448
1452 0.235 341.22
1452 0.235 341.22
718740
159.280
Gaya Jarak Momen
1646.7846 0.085 139.976691
0 1112.332902
1898.820918 0.16396454 311.3392984
-252.0363164 0.085 -21.4230869
e Mn P
0 0 8889.87
Tekan 1255.642117 5000
e= 1112.332902 0
Balance 1314.053467 4089.196618
Tarik 1267.109023 3000
0
1000
2000
3000
4000
5000
6000
7000
8000
9000
10000
0 200 400 600 800 1000 1200 1400 1600
Diagram interaksi p = 3%
Diagram interaksi p = 3%
Pn
Mn