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HW 8 - BRAE 433 HW 8 Bryce DaFonte 1 1 Given Concrete with...

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BRAE 433 HW 8 10/7/2011 Bryce DaFonte 1 1) Given: Concrete with unit weight from 80 lb/ft^3 to 150 lb/ft^3 and f'c from 3000 psi to 7000 psi. Required: Develop a spreadsheet that will display in a table the values of Ec. Round Ec to the nearest ksi. Ec = modulus of elasticity of concrete in compression (psi) w 80 f'c 3000 w = unit weight of concrete (lb/ft^3) Ec 1293.3 f'c = compressive strength of concrete (psi) f 'c (psi) 1293 3000 3500 4000 4500 5000 5500 6000 6500 7000 80 1293 1397 1493 1584 1670 1751 1829 1904 1976 85 1416 1530 1636 1735 1829 1918 2003 2085 2164 90 1543 1667 1782 1890 1992 2090 2182 2272 2357 95 1674 1808 1933 2050 2161 2266 2367 2464 2557 100 1807 1952 2087 2214 2333 2447 2556 2661 2761 f 'c fr = widt h=dept c Z = (2/ T = 1/2(fr)(width)(depth/2) 105 1945 2101 2246 2382 2511 2633 2750 2863 2971 3000 411 6 14 7 9.33 Unit Weight (lb/ft^3) 110 2085 2252 2408 2554 2692 2823 2949 3069 3185 3500 444 7 15 7.5 10.00 115 2229 2408 2574 2730 2878 3018 3152 3281 3405 4000 474 8 16 8 10.67 120 2376 2566 2744 2910 3067 3217 3360 3497 3629 4500 503 9 17 8.5 11.33 125 2526 2728 2917 3094 3261 3420 3572 3718 3859 5000 530 10 18 9 12.00 130 2679 2894 3094 3281 3459 3628 3789 3944 4092 5500 556 11 19 9.5 12.67 135 2835 3062 3274 3472 3660 3839 4010 4173 4331 6000 581 12 20 10 13.33 140 2994 3234 3457 3667 3865 4054 4234 4407 4574 6500 605 13 21 10.5 14.00 145 3156 3409 3644 3865 4074 4273 4463 4645 4821 7000 627 14 22 11 14.67 150 3321 3587 3834 4067 4287 4496 4696 4888 5072 7500 650 23 11.5 15.33 8000 671 24 12 16.00 Values in table are the calculated Ec values in ksi 25 12.5 16.67 26 13 17.33 2) Given: b 6 in Vary width from 6 inches to 14 inches (by 1 inch increments) and the depth from 14 inches to h 14 in I 1372 in^4 26 inches (by 1 inch increments). Also f'c from 3000 psi to 8000 psi. h depth Required: 1372 14 15 16 17 18 19 20 21 22 23 24 25 26 Develop a spreadsheet that calculates the cracking moment assuming no rebar.
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