Tabel-momen Dan Penulangan

PERHITUNGAN MOMEN PADA PELAT ATAP DAN PALAT LANTAI 2 TABEL PERHITUNGAN MOMEN PADA PELAT ATAP qu Dimensi Tipe Ly/Lx Tipe Pelat Lx Ly (KN/m A 1.5 3.5 5.772 2.333 1 arah B 1.5 4 5.772 2.667 1 arah C 3.8 4 5.772 1.053 2 arah D 3.5 3.8 5.772 1.086 2 arah E 1.5 3.8 5.772 2.533 1 arah F 1.5 1.5 5.772 1.000 2 arah

Variabel X2 X3 X4 dihitung dengan asumsi balok dihitung dengan asumsi balok 27.385 24.205 54.18 51.795 28.87 23.71 56.16 52.29 dihitung dengan asumsi balok 25 25 51 51 X1

MLx (KNm) 1.623 1.623 2.282 2.041 1.623 0.325

MLy (KNm) 2.235 1.976 0.325

MTx (KNm) 0.541 0.541 4.516 3.971 0.541 0.662

MTy (KNm) 4.783 4.358 0.662

TABEL PERHITUNGAN MOMEN PADA PELAT LANTAI 2 qu Dimensi Tipe Ly/Lx Tipe Pelat Lx Ly (KN/m A 1.5 3.8 11.404 2.533 1 arah B 1.5 2.5 11.404 1.667 2 arah C 2.5 3.8 11.404 1.520 2 arah D 3 3.8 11.404 1.267 2 arah E 1.5 3 11.404 2.000 2 arah F 1.5 1.5 11.404 1.000 2 arah

Variabel X2 X3 X4 dihitung dengan asumsi balok 50.34 15 79.005 54 46.2 16.2 75.6 54.4 36.68 20.66 66.015 54.335 58 15 82 53 25 25 51 51 X1

MLx (KNm) 3.207 1.292 3.293 3.765 1.488 0.641

MLy (KNm) 1.069 2.668 3.402 1.540 0.641

MTx (KNm) 1.069 2.027 5.388 6.776 2.104 1.309

MTy (KNm) 3.849 8.958 8.948 5.440 1.309

PERHITUNGAN TULANGAN PELAT ATAP fc' = 25 Mpa fy = 240 Mpa diameer tulangan 8 TABEL PERHITUNGAN TULANGAN LAPANGAN ARAH X Mu = Mlx Tipe Mn (Nmm) dx (Nmm) rencana A 1623375 2029218.8 0.8 56 B 1623375 2029218.8 0.8 56 C 2282476.217 2853095.3 0.8 56 D 2041311.09 2551638.9 0.8 56 E 1623375 2029218.8 0.8 56 F 324675 405843.75 0.8 56

dy 48 48 48 48 48 48

Rn 0.647 0.647 0.910 0.814 0.647 0.129

m 11.294 11.294 11.294 11.294 11.294 11.294

min 0.00583 0.00583 0.00583 0.00583 0.00583 0.00583

max 0.04032 0.04032 0.04032 0.04032 0.04032 0.04032

0.0027 0.0027 0.0039 0.0035 0.0027 0.0005

perlu 0.0037 0.0037 0.0052 0.0046 0.0037 0.0007

As 326.667 326.667 326.667 326.667 326.667 326.667

n 6.502 6.502 6.502 6.502 6.502 6.502

n dipasang 7 7 7 7 7 7

S (mm) 142.857 142.857 142.857 142.857 142.857 142.857 8 8 8 8 8 8

PERHITUNGAN TULANGAN PELAT ATAP fc' = 25 Mpa fy = 240 Mpa diameter tulangan 8 TABEL PERHITUNGAN TULANGAN LAPANGAN ARAH Y Mu = Mlx Tipe Mn (Nmm) dx (Nmm) rencana A 0.8 56 B 0.8 56 C 2235380.160 2794225.2 0.8 56 D 1976173.493 2470216.9 0.8 56 E 0.8 56 F 324675.000 405843.75 0.8 56

dy 48 48 48 48 48 48

Rn

m 11.294 11.294 11.294 11.294 11.294 11.294

min 0.00583 0.00583 0.00583 0.00583 0.00583 0.00583

max 0.04032 0.04032 0.04032 0.04032 0.04032 0.04032

perlu

As

n

n dipasang

S (mm)

8.91E-01 7.88E-01 1.29E-01

3.79E-03 3.35E-03 5.41E-04

0.0051 0.0045 0.0007

326.667 326.667 326.667

6.502 6.502 6.502

7 7 7

142.857 142.857 142.857

8 8 8

PERHITUNGAN TULANGAN PELAT ATAP fc' = 25 Mpa fy = 240 Mpa diar tulangan 8 TABEL PERHITUNGAN TULANGAN TUMPUAN ARAH X Mu = Mlx Tipe Mn (Nmm) dx (Nmm) rencana A 541125 676406.25 0.8 56 B 541125 676406.25 0.8 56 C 4515777.302 5644721.6 0.8 56 D 3970905.12 4963631.4 0.8 56 E 541125 676406.25 0.8 56 F 662337 827921.25 0.8 56

dy 48 48 48 48 48 48

Rn 0.216 0.216 1.800 1.583 0.216 0.264

m 11.294 11.294 11.294 11.294 11.294 11.294

min 0.00583 0.00583 0.00583 0.00583 0.00583 0.00583

max 0.04032 0.04032 0.04032 0.04032 0.04032 0.04032

0.0009 0.0009 0.0078 0.0069 0.0009 0.0011

perlu 0.0012 0.0012 0.0105 0.0091 0.0012 0.0015

As 326.667 326.667 585.960 512.271 326.667 326.667

n 6.502 6.502 11.663 10.196 6.502 6.502

n dipasang 7 7 14 12 7 7

S (mm) 142.857 142.857 71.429 83.333 142.857 142.857 8 8 8 8 8 8

PERHITUNGAN TULANGAN PELAT ATAP fc' = 25 Mpa fy = 240 Mpa diar tulangan 8 TABEL PERHITUNGAN TULANGAN PELAT ATAP TUMPUAN ARAH Y Mu = Mlx Tipe Mn (Nmm) dx dy Rn (Nmm) rencana A 0.8 56 48 B 0.8 56 48 C 4783371.840 5979214.8 0.8 56 48 1.91E+00 D 4358250.187 5447812.7 0.8 56 48 1.74E+00 E 0.8 56 48 F 662337.000 827921.25 0.8 56 48 2.64E-01

m 11.294 11.294 11.294 11.294 11.294 11.294

min 0.00583 0.00583 0.00583 0.00583 0.00583 0.00583

max 0.04032 0.04032 0.04032 0.04032 0.04032 0.04032

perlu

As

n

n dipasang

S (mm)

8.34E-03 7.56E-03 1.11E-03

0.0111 0.0101 0.0015

622.482 564.563 326.667

12.390 11.237 6.502

13 12 7

76.923 83.333 142.857

8 8 8

PERHITUNGAN TULANGAN PELAT LANTAI II fc' = 25 Mpa fy = 240 Mpa diameter tulangan 10 TABEL PERHITUNGAN TULANGAN LAPANGAN ARAH X Mu = Mlx Tipe Mn (Nmm) dx (Nmm) rencana A 3207375 4009218.8 0.8 95 B 1291674.06 1614592.6 0.8 95 C 3292905 4116131.3 0.8 95 D 3764688.48 4705860.6 0.8 95 E 1488222 1860277.5 0.8 95 F 641475 801843.75 0.8 95

dy 85 85 85 85 85 85

Rn 0.444 0.179 0.456 0.521 0.206 0.089

m 11.294 11.294 11.294 11.294 11.294 11.294

min 0.00583 0.00583 0.00583 0.00583 0.00583 0.00583

max 0.04032 0.04032 0.04032 0.04032 0.04032 0.04032

0.0019 0.0007 0.0019 0.0022 0.0009 0.0004

perlu 0.0025 0.0010 0.0026 0.0029 0.0012 0.0005

As 554.167 554.167 554.167 554.167 554.167 554.167

n 7.059 7.059 7.059 7.059 7.059 7.059


S (mm) 125.000 125.000 125.000 125.000 125.000 125.000 10 10 10 10 10 10

PERHITUNGAN TULANGAN PELAT LANTAI II fc' = 25 Mpa fy = 240 Mpa diar tulangan 10 TABEL PERHITUNGAN TULANGAN LAPANGAN ARAH Y Mu = Mlx Tipe Mn (Nmm) dx (Nmm) rencana A 0.8 95 B 1069125.000 1336406.3 0.8 95 C 2667714.912 3334643.6 0.8 95 D 3402159.882 4252699.9 0.8 95 E 1539540.000 1924425 0.8 95 F 641475.000 801843.75 0.8 95

dy 85 85 85 85 85 85

Rn 0.148 0.369 0.471 0.213 0.089

m 11.294 11.294 11.294 11.294 11.294 11.294

min 0.00583 0.00583 0.00583 0.00583 0.00583 0.00583

max 0.04032 0.04032 0.04032 0.04032 0.04032 0.04032

0.0006 0.0016 0.0020 0.0009 0.0004

perlu 0.0008 0.0021 0.0026 0.0012 0.0005

As 554.167 554.167 554.167 554.167 554.167

n 7.059 7.059 7.059 7.059 7.059

n dipasang 8 8 8 8 8

S (mm) 125.000 125.000 125.000 125.000 125.000 10 10 10 10 10

PERHITUNGAN TULANGAN PELAT LANTAI II fc' = 25 Mpa fy = 240 Mpa diar tulangan 10 TABEL PERHITUNGAN TULANGAN TUMPUAN ARAH X Mu = Mlx Tipe Mn (Nmm) dx (Nmm) rencana A 1069125 1336406.3 0.8 95 B 2027189.295 2533986.6 0.8 95 C 5388390 6735487.5 0.8 95 D 6775515.54 8469394.4 0.8 95 E 2104038 2630047.5 0.8 95 F 1308609 1635761.3 0.8 95

dy 85 85 85 85 85 85

Rn 0.148 0.281 0.746 0.938 0.291 0.181

m 11.294 11.294 11.294 11.294 11.294 11.294

min 0.00583 0.00583 0.00583 0.00583 0.00583 0.00583

max 0.04032 0.04032 0.04032 0.04032 0.04032 0.04032

0.0006 0.0012 0.0032 0.0040 0.0012 0.0008

perlu 0.0008 0.0016 0.0042 0.0053 0.0016 0.0010

As 554.167 554.167 554.167 554.167 554.167 554.167

n 7.059 7.059 7.059 7.059 7.059 7.059


S (mm) 125.000 125.000 125.000 125.000 125.000 125.000 10 10 10 10 10 10

PERHITUNGAN TULANGAN PELAT LANTAI II fc' = 25 Mpa fy = 240 Mpa diar tulangan 10 TABEL PERHITUNGAN TULANGAN TUMPUAN ARAH Y Mu = Mlx Tipe Mn (Nmm) dx (Nmm) rencana A 0.8 95 B 3848850.000 4811062.5 0.8 95 C 8958252.544 11197816 0.8 95 D 8947548.750 11184436 0.8 95 E 5439708.000 6799635 0.8 95 F 1308609.000 1635761.3 0.8 95

dy 85 85 85 85 85 85

Rn 0.533 1.241 1.239 0.753 0.181

m 11.294 11.294 11.294 11.294 11.294 11.294

min 0.00583 0.00583 0.00583 0.00583 0.00583 0.00583

max 0.04032 0.04032 0.04032 0.04032 0.04032 0.04032

0.0022 0.0053 0.0053 0.0032 0.0008

perlu 0.0030 0.0071 0.0071 0.0043 0.0010

As 554.167 675.166 674.333 554.167 554.167

n 7.059 8.601 8.590 7.059 7.059

n dipasang 8 9 9 8 8

S (mm) 125.000 111.111 111.111 125.000 125.000 10 10 10 10 10

PERHITUNGAN TULANGAN SUSUT/ BAGI PELAT 2 ARAH Asb n S PELAT n 2 mm dipasang mm LANTAI 216 8 4.2994 5 200 ATAP 180 8 3.5828 4 250

- jarak tulangan 8 8 200 250

interpolasi x1 = x2 = xi = x1 = x2 = xi = x1 = x2 = xi = x1 = x2 = xi =

1.2 1.4 1.267 1.2 1.4 1.267 1.2 1.4 1.267 1.2 1.4 1.267

y1 = y2 = yi = y1 = y2 = yi = y1 = y2 = yi = y1 = y2 = yi =

34 42 36.68 22 18 20.66 63 72 66.015 54 55 54.335

- Jarak 140 140 140 140 140 140

- Jarak

140 140 140

- Jarak 140 140 70 80 140 140

- Jarak

70 80 140

- Jarak 120 120 120 120 120 120

- Jarak 120 120 120 120 120

- Jarak 120 120 120 120 120 120

- Jarak 120 110 110 120 120

interpolasi x1 = x2 = xi = x1 = x2 = xi = x1 = x2 = xi = x1 = x2 = xi =

1.2 1.4 1.267 1.2 1.4 1.267 1.2 1.4 1.267 1.2 1.4 1.267

y1 = y2 = yi = y1 = y2 = yi = y1 = y2 = yi = y1 = y2 = yi =

34 42 36.68 22 18 20.66 63 72 66.015 54 55 54.335

Estimasi Dimensi balok

be t h y1

y2

bwh= t= bw = L= y1 = y2= 350 100 250 3800 mm mm mm mm 125 mm 300 mm 12.5 cm 30 cm

1/2 * (h-t) =h- 1/2 * t =

lebar efektif balok be = 1/4 *L = be = bw + Ln = be = bw + b1 +b2 = didunakan be =

950 mm 3800 mm 1850 mm 950 mm

95 cm 380 cm 185 cm 95 cm

Inersia balok y= ((be*t*y2)+((h-t)*bw*y1))/((be*t)+((h-t)*bw)) =

36312500 / 3631250 230.5556 mm 23.05556 cm

Ib =

(((1/12)*be*(t^3))+(((y2-y)^2)*be*t))+(((1/12)*bw*((h-t)^3))+((y-y1)^2)*bw*(h-t)) = = = 537307099 53730.70994 1559201389 mm 4 155920.139 cm

+

1021894290 102189.429

Inersia Pelat

Is = 1 =

(1/12)*L*t^3 = Ib/Is = 4.92379386

316666667

31666.67

157500 15750

^2)*bw*(h-t))

TABEL PERHITUNGAN MOMEN BALOK ATAP Wu Pelat (Kg/m2) Wd 321 Wl 100 r 20

Berat sendiri balok atap (kg/m) Balok induk balok anak Berat balok listplank (kg) Tebal pelat (m) Panjang bentang (m) Tumpuan (Kg m) M1' = M8' M1 = M8 M2 = M3 = M4 = M5 = M6 = M7 1173.9766 1214.6125 1104.1932 261.8229 52.36463800

Balok A-A Balok Induk

h 1 0.75 2 1.75 3 0.75

Wek (kg/m) 0.711 1.255 0.3751500

W kg/m 841.1444 Wl 196.6182 R 39.32363800

283.9167 56.78333800

258.1061 51.62123800 3800

3 3Balok A-A balok anak h 1 1.75 2 1.9 3 0.75 Wek (kg/m) 1.255 1.267 0.375

2 1W Tumpuan (Kg m) kg/m M1' = M8' M1 = M8 M2 = M3 = M4 = M5 = M6 = M7 1019.4987 1334.9413 1472.1562 1338.3238 Wl 252.1803 311.9677 364.1483 331.0439 R 50.4361 62.3935 72.8297 66.2088

1500

3800

3800

3800

3800

3800

3 3

2 1

Balok A-A balok anak

h 1 1.9 2 1.75

Wek (kg/m) 1.267 1.255

W Tumpuan (Kg m) kg/m M1' = M8' M1 = M8 M2 = M3 = M4 = M5 = M6 = M7 1019.4987 1334.9413 1472.1562 1338.3238 Wl 252.1803 311.9677 364.1483 331.0439

3 0.75

0.375

R 50.4361

62.3935

72.8297

66.2088

1500

3800

3800

3800

3800

3800

3 3

2 1


h 1 1.75 2 0.75 3 0.751500

Wek (kg/m) 1.255 0.711 0.3753800

W kg/m 841.1444 Wl 196.6182 R 39.3236

Tumpuan (Kg m) M1' = M8' M1 = M8 M2 = M3 = M4 = M5 = M6 = M7 1173.9766 1214.6125 1104.1932 261.8229 52.36463800

283.9167 56.78333800

258.1061 51.62123800 3800

3 3

2 1

210 156 192 0.1 3.8 Lapangan (kg / m) Mu (Kg m) M1'1 = M88' M12 = M78 M23 = M34 = M45 = M56 = M67 Tumpuan Lapangan 414.84375 867.5804 759.1328 84.375 202.7976 8.43753800

177.4479 35.48963800 1500

1940.1933 1385.8524

40.55953800

0

1750 750 750

Lapangan (kg / m) Mu (Kg m) M1'1 = M88' M12 = M78 M23 = M34 = M45 = M56 = M67 Tumpuan Lapangan 414.84375 1051.5401 920.0976 84.375 260.1060 8.4375 52.0212 227.5927 45.5185 2385.6395 1704.0282

3800

3800

3800

1500

1900 750 750 1750

Lapangan (kg / m) Mu (Kg m) M1'1 = M88' M12 = M78 M23 = M34 = M45 = M56 = M67 Tumpuan Lapangan 414.84375 1051.5401 920.0976 84.375 260.1060 227.5927 2385.6395 1704.0282

8.4375

52.0212

45.5185

00

3800

3800

3800

1500

1750 750 750 1900

Lapangan (kg / m) Mu (Kg m) M1'1 = M88' M12 = M78 M23 = M34 = M45 = M56 = M67 Tumpuan Lapangan 414.84375 867.5804 759.1328 84.375 202.7976 8.43753800

177.4479 35.48963800

1940.1933 1385.8524

40.55953800

1500

750 750 1750

Balok Induk

TABEL PERHITUNGAN MOMEN BALOK LANTAI II Wu Pelat (Kg/m2) Wd 321 Wl 400 wall 0

Berat sendiri balok atap (kg/m) Balok induk balok anak Berat balok listplank (kg) Tebal pelat (m) Panjang bentang (m) Tumpuan (Kg m) M1 = M8 1183.6628 1097.1000 0.00003800 3800 3800


h 1 0.75 2 1.5 3 0.751500

Wek (kg/m) 0.711 1.188 0.3753800

W kg/m M1' = M8' 819.7110 1154.6330 Wl 759.7645 1023.1875 wall 0.0000 0.00003800

3 3Balok A-A balok anak h 1 1.5 2 1.5 3 0.751500

2 1Wek (kg/m) 1.188 1.000 0.3753800

W kg/m M1' = M8' 912.4654 1238.3438 Wl 218.8366 281.8750 R 43.7673 56.37503800

Tumpuan (Kg m) M1 = M8 1317.6000 316.0000 63.20003800 3800 3800

3 3

2 1


h 1 1.5 2 1.25

Wek (kg/m) 1.188 1.070

W kg/m M1' = M8' 934.8250 1258.5233 Wl 903.2087 1152.6458

Tumpuan (Kg m) M1 = M8 1349.8873 1304.2333

3 0.751500

0.3753800

R 0.0000

0.00003800

0.00003800 3800 3800

3 3

2 1

Balok A-A Balok anak

h 1 1.25 2 1.25 3 0.751500

Wek (kg/m) 1.070 1.070 0.3753800

W kg/m M1' = M8' 896.7192 1224.1328 Wl 855.7248 1109.7917 R 0.0000 0.00003800

Tumpuan (Kg m) M1 = M8 1294.8625 1235.6667 0.00003800 3800 3800

3 3

2 1


h 1 1.25 2 0.75 3 0.751500

Wek (kg/m) 1.070 0.711 0.3753800

W kg/m M1' = M8' 781.6053 1120.2425 Wl 712.2807 980.3333 R 0.0000 0.00003800

Tumpuan (Kg m) M1 = M8 1128.6380 1028.5333 0.00003800 3800 3800

3 3

2 1

3

1

sendiri balok atap (kg/m) 210 156 192 0.1 3.8

balok listplank (kg)

ng bentang (m)

Tumpuan (Kg m) Lapangan (kg / m) Mu (Kg m) M2 = M3 = M4 = M5 = M6 = M7 M1'1 = M88' M12 = M78 M23 = M34 = M45 = M56 = M67 Tumpuan 1076.0570 414.84375 845.4734 739.7892 997.3636 0.00003800 3800 3800

337.5 783.6429 0 0.00003800 3800

685.6875 0.00001500

3175.7553

1500 750 750


84.375 225.7143 8.4375 45.14293800

197.5000 39.50003800 1500

2118.3200

1500 750 750 1500

Tumpuan (Kg m) Lapangan (kg / m) Mu (Kg m) M2 = M3 = M4 = M5 = M6 = M7 M1'1 = M88' M12 = M78 M23 = M34 = M45 = M56 = M67 Tumpuan 1227.1702 414.84375 964.2052 843.6795 1185.6667 337.5 931.5952 815.1458 3706.6380

0.00003800 3800 3800

0

0.00003800

0.00003800 1500

1250 750 750 1500


337.5 882.6190 0 0.00003800

772.2917 0.00003800 1500

3530.9017

1250 750 750

1250

Tumpuan (Kg m) Lapangan (kg / m) Mu (Kg m) M2 = M3 = M4 = M5 = M6 = M7 M1'1 = M88' M12 = M78 M23 = M34 = M45 = M56 = M67 Tumpuan 1026.0345 414.84375 806.1700 705.3988 935.0303 0.00003800 3800

337.5 734.6667 0 0.00003800

642.8333 0.00003800 1500

3000.0189

3800

750 750

1250

750

1250

Mu (Kg m) Lapangan

2268.3966

Mu (Kg m) Lapangan

1513.0857

1500 750 750 1500

Mu (Kg m) Lapangan

2647.5986

1250 750 750 1500

Mu (Kg m) Lapangan

2522.0726

1250 750 750

1250

Mu (Kg m) Lapangan

2142.8707

750 750

1250

750

1250

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