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U TR BLOCK, INC. <br />NOTES ON DESIGN UNITS <br />The wall section is designed on a 'per unit width bases' (lb/ft/ft of wall or kN/m/meter of wall). In the calculations the <br />software shows Ib/ft or kN/m, neglecting the unit width factor for simplicity. <br />The weights for the wall unit are shown as Ibs / ft3 (kN / m3). For SRW design a 1 sf unit is typically 1 ft deep, 1.5 ft <br />wide and 8 inches tall (or 1 ft3). therefore a typical value of 120 pcf is shown. With larger units the unit weight will <br />vary with the size of the unit. Say we have 4 ft wide unit, 1.5 ft tall and 24 inches deep with a tapered shape (sides <br />narrow), built with 150 pcf concrete. We add up the concrete, the gravel fill and divide by the volume and the results <br />may come out to 140 pcf, as shown in the table. The units with more gravel may have lower effective unit weights <br />based on the calculations. <br />Hollow Units <br />Hollow units with gravel fill are treated differently in AASHTO. If the fill can fall out as the unit is lifted, then AASHTO <br />only allows 80% of the weight of the fill to be used for eccentricity (overturning calculations). In the properties page <br />for the units the weight of the concrete may be as low as 75 pcf. This is the effective unit weight of the concrete only <br />(e.g. the weight of the concrete divided by the volume of the unit). The density of the concrete maybe 150 pcf, but not <br />the effective weight including the volume of the void spaces used for gravel fill. <br />Rounding Errors <br />When doing hand calculations the values may vary from the values shown in the software. The program is designed <br />using double precision values (64 bit precision: 14 decimal places). Over several calculations the results may differ <br />from the single calculation the user is making, probably inputting one or two already rounded values. <br />Result Rounding <br />As noted above the software is based on double precision values. For example, using an NCMA design method an <br />allowable factor of safety of 1.5 the software may calculate a value of 1.49999999999999, since this is less than 1.5, <br />it would be false (NG), even though the results shown is 1.50 (results are rounded to 2 places on the screen). In the <br />design check we round to 2 decimal places to check against the suggested value (1.49999999999 rounds to 1.50). <br />Given the precision of the calculation, this will provide a safe design even though the 'absolute' value is less than the <br />minimum suggested. <br />UltraWall 4.0.16287.0 Page 3 <br />