CE 434, BEAM DESIGN, Strength R values vs Rho for Grade 60 Reinf, ACI Code Rho f

Question

CE 434, BEAM DESIGN, Strength R values vs Rho for Grade 60 Reinf, ACI Code Rho fc-300cfc = 4000fc-5000fc = 6000 119 118 233 0 002 117 0 004 229 232 0.006 335 341 0.008 435 4 118 234 347 457 446 453 0.01 529 547 558 0012 618 644659 669 0.014 702 736 0.016 779 824 852 870 Assignment 1. Verify R values for Rho values = .01, .02, and .03 2. Show Min and Max Rho Values, per ACI 757 0018 851 908 943 966 2 918 988 1031 1059 1149 0.024 1033 1135 1196 1237 0.026 1083 1202 1274 1321 0.028 1127 1265 1348 1403 0.03 1165 1324 1419 1482 0 032 1197 137 148 1559 0 034 1224 1428 1550 1632 0.036 1245 1474 1611 1703 1770 1835 104 1115 0 038 1261 1516 1668 0.04 1271 1553 1722 0.042 1275 1586 1773 18 0.044 1273 1615 1820 1957 0.046 1266 1640 1864 2013 0.048 1254 1660 1904 2067 0.05 1235 1676 1941 2118 R vs Rho 220 1400 1300 1200 1100 E $00 500 0 0004 0008 0.012 0.016 002 0029.032 0035 0.04 0.044 0043 0052 0058

Explanation / Answer

1)

for rho= 0.01

chart value ACI TABLE VALUE

fc= 3000 psi R = 520 529

fc= 4000 psi R= 550 547

fc = 5000 psi R= 550 558

fc= 6000 psi R = 550 565

chart value ACI TABLE VALUE

fc= 3000 psi R = 910 918

fc= 4000 psi R= 985 988

fc = 5000 psi R= 1050 1030

fc= 6000 psi R = 1060 1059

for rho= 0.03

chart value ACI TABLE VALUE

fc= 3000 psi R =1150 1165

fc= 4000 psi R= 1310 1324

fc = 5000 psi R= 1400 1419

fc= 6000 psi R = 1480 1482

All values are well satisfied

2)

for fc = 3000 psi

min value of R= 0 max value = 1280

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