Evaluating the Compressive Strength of Hail and Its Relationship To

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Evaluating the Compressive Strength of Hail and Its Relationship To Hailstone with cyclic growth ring structure and dry growth areas (cloudy) and wet growth areas (clear). Note the alternating growth types, which result from dry and wet growth conditions. ABSTRACT wind speed occurring during the hail event. as diameter increases, so does Fo and its Hail damage to building envelopes is ASTM E822-92 provides numerical meth- uniformity; however, c will decrease with clearly on the rise. This is confirmed by ods for adjusting hail falling speed based diameter increase, while uniformity of c insurance companies reporting that 2017 upon the hail’s terminal velocity and wind increases with increasedσ diameter. The hail σ was the first year that hail damage has been speed. Many people have the experience of Fo and c population distribution was devel- the most expensive insured peril for real observing hail in the form of soft slush balls, oped for each hail size bin. The kinetic ener- property claims in the United States. The while some hail is seemingly as hard as a gy (KE) σwas computed for each hail size bin. causes for this unprecedented hail dam- ball bearing. Natural hail compressive strength from age cost include more frequent damaging More than 875 natural hailstones were 875 natural hailstones from the IBHS were hailstorms, urban growth that puts more analyzed for size, density, compressive compared to the compressive strength of structures at risk, larger structures that strength (Fo), and compressive stress ( c) 585 iceballs, and their mathematical rela- have larger roofs, more expensive repairs by the Insurance Institute of Business tionship was developed for size bins ½ due to higher materials and labor cost, and and Home Safety (IBHS). These data wereσ though 2½ inches in ¼-in. increments. The increased public awareness of the insureds’ analyzed with a variety of methods, and measurement systems and testing environ- rights and responsibilities under the terms analysis shows a clear trend in the increase ment were carefully controlled and similar of their policies. of compressive strength and compressive to the systems used by IBHS in collecting This article addresses the issue of dam- strength uniformity with increases in hail their data. The data collections system aging hail events and specifically address- diameter by size bin. In addition, data were (caliper measurement) was supplemented es the compressive strength of hail. Hail considered by hail size bins, beginning with with a liquid displacement (Archimedes impacts have typically been related to the ½ through 2½ inches in ¼-in. group bins. method) for computing volume, density, and size of the hailstones. Some investigators These data (Fo and c) were regressed with cross-sectional area. These measurements computed the kinetic energy of hail impacts an exponential equation with R2 = 0.97 are also used to compute the compressive σ and adjusted the hail’s falling speed by the and 0.95, respectively. The data show that stress ( c). σ 24 • RCI I NTE R FA C E J ANUA R Y 2 0 1 9 Of fundamental significance is the fact calculation requires vector analysis that tol grip clamp with attached load cell to that the IBHS hailstones were modeled after accounts for both direction and magnitude to measure hailstone compressive strength. oblate spheroids, where the iceballs, cast resolve the KE into direct and shear forces. Measurements showed hail compressive in plastic molds, are near-perfect spheres. strength ranged from as low as 0.19 to as The cross-sectional areas of the two shapes HISTORY OF HAIL COMPRESSIVE high as 490.64 lbf. The temperature was were computed. A uniaxial compressive STRENGTH TESTING not reported. force was used to measure the Fo of iceballs Early work on hail compressive strength Butkovich (1958) used a Brinell hard- with a hydropneumatics press, whereas focused on hailstone air content. Several ness tester to measure the hardness of the IBHS used a hand-operated modified com- researchers, including Browning (1968), List surface of single ice crystals. These data pression clamp. The testing environment (1972 and 1973), Knight (1970, 1974, 1978, showed that the Brinell hardness number temperature was a constant 28°F (-2°C), 1983, and 2001), and Heymsfield (1983, varied by temperature by more than 300% and iceballs were made from distilled water 2014a, and 2014b) investigated air content of in the temperature range from -15°C to and were refrigerated to -16°F (-27°C) for 24 hailstones and their falling behavior. Fewer -50°C (in other words, the colder the tem- hours prior to testing. researchers have investigated the compres- perature, the harder the ice crystals). sive strength of hail. Of the 316 references Note that Brinell’s tests were done on INTRODUCTION used in this work, only 15 (less than 5%) the surface; therefore, hardness would Traditionally, hail is evaluated based discussed the compressive strength of hail, be an appropriate term to describe their upon size; however, size alone does not tell five dealt with strain rates of ice cylinders results. Earlier work by Barnes (1928), the whole story. Some roof and building that were not hailstones at all, and only Moor (1940), and Blackwelder (1940) mea- envelope investigators compute hail’s kinet- three (<1%) papers specifically addressed sured the scratch hardness of the surface of ic energy (KE) (Equation 1) that considers the compressive strength of hailstones. ice crystals using the Moh’s hardness scale. both the hail weight and falling speed. The term “hardness” typically refers to a The obvious difference between the work surface condition and not the entire struc- from Giammanco and Butkovich, Barnes, 1. KE = ½ m V2 ture. The verbiage used to describe hail has Moor, and Blackwelder is that the last four been confusing. In terms of c, we use the researchers only tested the surface condi- Where: Fo divided by the cross-sectional area of the tions of hailstones and not the compressive KE = Kinetic energy (lbf or Joules) average diameter. This is theσ reported in strength of the entire stone. m = mass of the hailstone (lb. or kg) most materials testing literature in stress/ Only the work by Giammanco et al. V = Velocity of the falling hailstone at strain relationships. Strain ( ) isσ the distance (2015) addresses the compressive strength impact (mph or m/s) by which the sample is compressed by c. of the whole hailstone. For the work to be Many hailstones are εdamaged upon specific to what causes hailstones to dam- Some investigators have observed that impact. In short, the investigator mustσ be age roofs and other elements of building hailstorms frequently occur with wind that on the spot and prepared to perform the envelopes, the whole stone must be consid- will affect the falling speed and, thus, KE. investigation before the hail has changed ered, not just its surface condition. Wind causes the speed a hailstone is falling from its impact condition. Even in vehicles Most hail impact testing is done using at to increase (Equation 2) and will increase equipped with computers and radar soft- iceballs. Many building envelope products KE (ASTM E822-92). Since the KE velocity ware, it is not easy to get to the right spot are not even tested with iceballs, with term is squared, increased KE due to veloc- at the right time. Often, ideal locations for investigators opting for ASTM D3746, FM ity is exponential, making KE sensitive to a hail collection are off paved roads that 4470, or UL 2218—all of which rely upon changes in velocity. are not accessible to storm chase vehi- steel balls or steel missiles impacting build- cles—especially ones pulling a mobile lab. ing envelope materials. Steel projectiles 2. FS = √TV2+WS2 The research mobile lab operates at 28°F, do not accurately represent ice due to the and samples are refrigerated until tested. difference in surface hardness and terminal Where: Hailstone temperature is the first item velocity of the different materials. Steel balls FS = Failing speed of hailstone at time measured, and testing is done as soon after are denser than ice and are more uniform; of impact = V collection as safely possible. Samples stored they do not replicate the types of damage TV = Terminal velocity of hailstone at for long will change from their antecedent caused by hailstones. Iceballs are not the time of impact (mph or m/s) condition. Most commercial freezer units same as natural hailstones; they are similar WS = Wind speed during the hail event will produce temperatures between -24 and in surface hardness and terminal velocity, (mph or m/s) -4°F. Compressive strength of ice increases but typically denser with higher Fo. dramatically as the temperature decreases ASTM E822-92 states “no direct rela- Since KE is sensitive to changes in veloc- from -10 to -50°C (14 to -58°F). Ice sur- tionship has been established between the ity, it is necessary to understand how fast face hardness can increase 240% from a effect of impact of iceballs and hailstones.” hail is moving at the time of impact. Hail temperature of 0 to -80°C (32 to -112°F) (UL 2218 contains similar language.) This falling speed is affected by many conditions, (Chaplin, 2016). This work requires the paper offers such a relationship that will including terminal velocity and wind speed. investigator to take the lab to the field. allow new insights into how hail impacts Wind speed also affects the angle the hail is Chasing storms is neither easy nor cheap building envelope products and other mate- falling. Hail KE must be resolved into direct and has numerous risks. rials. This will allow manufacturers a direct and shear energy at impact. This energy Giammanco et al. (2015) used a pis- comparison of iceball testing to natural J ANUA R Y 2 0 1 9 R C I I NTE R FA C E • 2 5 hailstones—something that no “steel ball” FRACTURE MECHANICS own separate set of axes that are randomly test can do.
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