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January 30, 2019 Gregory A. Kopp, PhD, PEng <br />page 2 of 4 <br />ASCE 7-16 Section 31.2, ASCE 49-12 (as well as ASCE 7-10, Section 31.2 & ASCE 7-05, Section 6.6.2) <br />ASCE 7-16 section 31.1 and 31.2 (ASCE 7-10 and ASCE 7-05, section 6.6) note that “wind tunnel testing <br />shall be permitted in lieu of” the prescriptive procedures in the other chapters, but that “tests for the <br />determination of mean and fluctuating forces and pressures shall meet all of the following conditions,” which <br />are provided in ASCE 49-12. There are several conditions that need to be met, which are indicated in the <br />italicized text below: <br />1. The natural boundary layer has been modeled to account for the variation of wind speed with height. <br />The CPP wind tunnel experiments make use of a boundary layer wind tunnel with a relatively long <br />test section (shown in the Figure 2-1). The set-up for this experiment included a barrier and spires at <br />the inlet to the test section, and roughness elements placed on the ground. The array models were <br />placed on a turntable at the downstream end of the test section. Photographs in Appendix B provide <br />evidence of the test set-up, which appears to be conventional for such wind loading experiments at <br />large scales where only the lower portion of the atmospheric boundary layer is simulated. The mean <br />velocity as a function of height is provided in Appendix C. The authors state that the wind tunnel <br />simulation, which was conducted at a scale of 1:40, represents a suburban terrain, i.e., terrain <br />category B is ASCE 7-16. Thus, this condition is met. <br /> <br />2. The relevant macro- (integral) length and micro-length scales of the longitudinal component of <br />atmospheric turbulence are modeled to approximately the same scale as that used to model the <br />building or structure. <br />This is typically the most difficult requirement for wind tunnel studies of small structures to meet <br />because of the relatively large model scales, such as 1:40 in the current study, which are usually <br />needed to resolve geometric details. The turbulence intensities depicted in Appendix C are lower <br />than typical for suburban terrain (category B). The spectra, along with the supporting text, indicate <br />that the intent is to model the scales of turbulence corresponding to 3 sec gusts and smaller. This is <br />an approach that has been broadly used for examining buffeting wind loads on bridges and is <br />appropriate for solar arrays mounted on the roofs of low-rise buildings. Nevertheless, the integral <br />scale is within a factor of 2 of the target, which is the acceptable range. <br /> <br />3. The modeled building or other structure and surrounding structures and topography are <br />geometrically similar to their full-scale counterparts. <br />The interpretation of ASCE 49-12 regarding the wind tunnel models for a roof-mounted solar array is <br />that the geometry of the array must be matched and placed on an appropriately sized building. A <br />wide range of array sizes, building sizes, and array placements on the roof were made. Tests were <br />conducted with parapets, with the array placed in many different locations on the roof. The array was <br />always placed on a single, isolated, rectangular plan-shaped building with sharp edges. This usually <br />provides worst case loads and is consistent with how the wind load provisions for low-rise buildings <br />in ASCE 7 were developed. In fact, this is a comprehensive data set with sufficient information such <br />the roof and array zones can be obtained from the data. Thus, this condition is met. <br /> <br />4. The projected area of the modeled building or other structure and surroundings is less than 8 percent <br />of the test section cross-sectional area unless correction is made for blockage. <br />The blockage in the wind tunnel tests was not reported, but it is stated that it is less than 5%. Thus, <br />this condition is met. <br /> <br />5. The longitudinal pressure gradient in the wind tunnel test section is accounted for. <br />This criteria is discussed in the report and is met. <br /> <br />6. Reynolds number effects on pressures and forces are minimized. <br />Equation (2-6) in ASCE 49-12 indicates that the Reynolds Number should be larger than 11,000, <br />while the ASCE Manual of Practice #67 indicate that it should be above 10,000 (on p.15 of the 1999 <br />version). The values of the Reynolds Number for this study are well above this threshold. Thus, this <br />condition is met. <br />7. Response characteristics of the wind tunnel instrumentation are consistent with the required <br />measurements. <br />PCC2.2.4 <br />1901 N Fairview St & Bldg A, B, <br />C, F & 1919 N Fairview St Bldg E <br />4/11/2024