Tugas i Model Kent

Nama : Fadly Fauzie Firdausi Mata Kuliah : Perilaku Struktur Beton

NIM : 25015032 Dosen : Prof. Ir. Bambang Budiono, ME, Ph.D

TUGAS I Model Kent &Park

Diketahui :

Selimut beton = 30 mm

Mutu beton (fc’) = 30 Mpa

Diameter sengkang (Φ) = 10 mm

Jarak antar sengkang (Sh) = 100 mm

1 psi = 0,00689 Mpa

Ɛ0 = 0,002

Ditanya :

Buat kurva fc’ vs Ɛc untuk kondisi unconfined , confined (ρs terpasang) , confined (ρs =2%) , confined (ρs =3%) dengan menggunakan teori kekangan KENT & PARK.

550

550

490

S = 100 mm

d = 30 mm



JAWABAN :

Properti penampang beton

Properti 1 psi. = 0.00689 MPa1 in. = 25.4 mm

D 10 mm 0.393700787 in.b" 550 mm 21.65354331 in. 550 mm 21.65354331 in. 21.65354331 in. 21.65354331 in.h" 550 mm 21.65354331 in. 550 mm 21.65354331 in. 21.65354331 in. 21.65354331 in.d 30 mm 1.181102362 in. 30 mm 1.181102362 in. 1.181102362 in. 1.181102362 in.s 100 mm 3.937007874 in. 100 mm 3.937007874 in. 3.937007874 in. 3.937007874 in.f'c 30 MPa 4354.13643 Psi. 30 MPa 4354.13643 Psi. 4354.13643 Psi. 4354.13643 Psi.ρs 0 0.005088861 0.02 0.03

0 % 0.508886083 % 2 % 3 %ε50h 0 0.008950827 0.035178118 0.052767177

ε50u 0.003490697 0.003490697 0.003490697 0.003490697Z 335.413643 47.88572985 13.63556477 9.2152523390.5f'c 15 MPa 2177.068215 Psi. 15 MPa 2177.068215 Psi. 2177.068215 Psi. 2177.068215 Psi.0.2f'c 6 MPa 870.8272859 Psi. 6 MPa 870.8272859 Psi. 870.8272859 Psi. 870.8272859 Psi.

BritishSI British SI British BritishUnconfined confined (ρs terpasang) confined (ρs 2%) confined (ρs 3%)



Kurva tegangan dan regangan beton dengan perbandingan variasi banyaknya tulangan (ρ)



εc f'c (Psi)unconfined

confined ρs=0,509% confined ρs=2% confined ρs=3%

01E-04 424.528 424.528 424.528 424.528

0.0002 827.286 827.286 827.286 827.2860.0003 1208.273 1208.273 1208.273 1208.2730.0004 1567.489 1567.489 1567.489 1567.4890.0005 1904.935 1904.935 1904.935 1904.9350.0006 2220.610 2220.610 2220.610 2220.6100.0007 2514.514 2514.514 2514.514 2514.5140.0008 2786.647 2786.647 2786.647 2786.647

0.0009 3037.010 3037.010 3037.010 3037.0100.001 3265.602 3265.602 3265.602 3265.602

0.0011 3472.424 3472.424 3472.424 3472.4240.0012 3657.475 3657.475 3657.475 3657.4750.0013 3820.755 3820.755 3820.755 3820.7550.0014 3962.264 3962.264 3962.264 3962.2640.0015 4082.003 4082.003 4082.003 4082.0030.0016 4179.971 4179.971 4179.971 4179.9710.0017 4256.168 4256.168 4256.168 4256.1680.0018 4310.595 4310.595 4310.595 4310.5950.0019 4343.251 4343.251 4343.251 4343.251

0.002 4354.136 4354.136 4354.136 4354.1360.0025 3623.918 4249.886 4324.451 4334.074

0.003 2893.700 4145.635 4294.765 4314.0120.0035 2163.481 4041.385 4265.080 4293.950

0.004 1433.263 3937.134 4235.394 4273.8870.0045 870.827 3832.884 4205.709 4253.825

0.005 3728.633 4176.023 4233.7630.0055 3624.383 4146.338 4213.701

0.006 3520.132 4116.652 4193.6390.0065 3415.882 4086.966 4173.576

0.007 3311.631 4057.281 4153.5140.0075 3207.381 4027.595 4133.452

0.008 3103.130 3997.910 4113.3900.0085 2998.880 3968.224 4093.327

0.009 2894.629 3938.539 4073.2650.0095 2790.379 3908.853 4053.203

0.01 2686.128 3879.168 4033.1410.0105 2581.878 3849.482 4013.078

0.011 2477.627 3819.796 3993.0160.0115 2373.377 3790.111 3972.954

0.012 2269.126 3760.425 3952.892



0.0125 2164.876 3730.740 3932.8300.013 2060.625 3701.054 3912.767

0.0135 1956.375 3671.369 3892.7050.014 1852.124 3641.683 3872.643

0.0145 1747.874 3611.998 3852.5810.015 1643.623 3582.312 3832.518

0.0155 1539.373 3552.626 3812.4560.016 1435.122 3522.941 3792.394

0.0165 1330.872 3493.255 3772.3320.017 1226.621 3463.570 3752.269

0.0175 1122.371 3433.884 3732.2070.018 1018.120 3404.199 3712.145

0.0185 913.870 3374.513 3692.0830.019 870.827 3344.828 3672.021

0.0195 870.827 3315.142 3651.9580.02 870.827 3285.456 3631.896

0.0205 870.827 3255.771 3611.8340.021 870.827 3226.085 3591.772

0.0215 870.827 3196.400 3571.7090.022 870.827 3166.714 3551.647

0.0225 870.827 3137.029 3531.5850.023 870.827 3107.343 3511.523

0.0235 870.827 3077.658 3491.4600.024 870.827 3047.972 3471.398

0.0245 870.827 3018.286 3451.3360.025 870.827 2988.601 3431.274

0.0255 870.827 2958.915 3411.2110.026 870.827 2929.230 3391.149

0.0265 870.827 2899.544 3371.0870.027 870.827 2869.859 3351.025

0.0275 870.827 2840.173 3330.9630.028 870.827 2810.488 3310.900

0.0285 870.827 2780.802 3290.8380.029 870.827 2751.116 3270.776

0.0295 870.827 2721.431 3250.7140.03 870.827 2691.745 3230.651

0.0305 870.827 2662.060 3210.5890.031 870.827 2632.374 3190.527

0.0315 870.827 2602.689 3170.4650.032 870.827 2573.003 3150.402

0.0325 870.827 2543.318 3130.3400.033 870.827 2513.632 3110.278

0.0335 870.827 2483.946 3090.2160.034 870.827 2454.261 3070.154

0.0345 870.827 2424.575 3050.091



0.035 870.827 2394.890 3030.0290.0355 870.827 2365.204 3009.967

0.036 870.827 2335.519 2989.9050.0365 870.827 2305.833 2969.842

0.037 870.827 2276.148 2949.7800.0375 870.827 2246.462 2929.718

0.038 870.827 2216.776 2909.6560.0385 870.827 2187.091 2889.593

0.039 870.827 2157.405 2869.5310.0395 870.827 2127.720 2849.469

0.04 870.827 2098.034 2829.4070.0405 870.827 2068.349 2809.344

0.041 870.827 2038.663 2789.2820.0415 870.827 2008.978 2769.220

0.042 870.827 1979.292 2749.1580.0425 870.827 1949.607 2729.096

0.043 870.827 1919.921 2709.0330.0435 870.827 1890.235 2688.971

0.044 870.827 1860.550 2668.9090.0445 870.827 1830.864 2648.847

0.045 870.827 1801.179 2628.7840.0455 870.827 1771.493 2608.722

0.046 870.827 1741.808 2588.6600.0465 870.827 1712.122 2568.598

0.047 870.827 1682.437 2548.5350.0475 870.827 1652.751 2528.473

0.048 870.827 1623.065 2508.4110.0485 870.827 1593.380 2488.349

0.049 870.827 1563.694 2468.2870.0495 870.827 1534.009 2448.224

0.05 870.827 1504.323 2428.1620.0505 870.827 1474.638 2408.100

0.051 870.827 1444.952 2388.0380.0515 870.827 1415.267 2367.975

0.052 870.827 1385.581 2347.9130.0525 870.827 1355.895 2327.851

0.053 870.827 1326.210 2307.7890.0535 870.827 1296.524 2287.726

0.054 870.827 1266.839 2267.6640.0545 870.827 1237.153 2247.602

0.055 870.827 1207.468 2227.5400.0555 870.827 1177.782 2207.478

0.056 870.827 1148.097 2187.4150.0565 870.827 1118.411 2167.353

0.057 870.827 1088.725 2147.291



0.0575 870.827 1059.040 2127.2290.058 870.827 1029.354 2107.166

0.0585 870.827 999.669 2087.1040.059 870.827 969.983 2067.042

0.0595 870.827 940.298 2046.9800.06 870.827 910.612 2026.917

0.0605 870.827 880.927 2006.8550.061 870.827 870.827 1986.793

0.0615 870.827 870.827 1966.7310.062 870.827 870.827 1946.668

0.0625 870.827 870.827 1926.6060.063 870.827 870.827 1906.544

0.0635 870.827 870.827 1886.4820.064 870.827 870.827 1866.420

0.0645 870.827 870.827 1846.3570.065 870.827 870.827 1826.295

0.0655 870.827 870.827 1806.2330.066 870.827 870.827 1786.171

Documents

Tugas i Model Kent