Lisø PhD Dissertation Manuscript - NTNU
Lisø PhD Dissertation Manuscript - NTNU
Lisø PhD Dissertation Manuscript - NTNU
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variety of roofs and wind exposures [3]. The roofs were both flat and sloped and varied in<br />
size. The survey concluded that the roof-to-ground ratios depend primarily on the degree to<br />
which a roof is sheltered from wind. Well-sheltered roofs had ratios up to approximately<br />
0.9, whereas nearly all unobstructed roofs had ratios of less than 0.6. Well-exposed,<br />
unobstructed roofs in generally open areas had ratios of less than 0.3. Lutes do not discuss<br />
whether heat loss is included in these results.<br />
Otstavnov [4] presented a method where average wind velocities for the whole<br />
winter season were used in order to describe snow drifting from flat roofs during snowfall.<br />
Experiments were performed on flat roofs and an expression for the roof-to-ground<br />
conversion factor was developed (effect of heating was excluded). In addition, an<br />
expression was developed for the total amount of snow drifted from the roof between<br />
snowfalls. This amount was found to be a function of the average wind velocity between<br />
snowfalls and the summarized time this kind of drifting occurs during the winter season.<br />
Otstavnov reported a close correlation between the number of days with snowfall and the<br />
total ground snow load.<br />
In the period 1966 to 1986 professor Høibø at the Agricultural University of<br />
Norway measured snow depths and densities on cold pitch roofs on approximately 200<br />
agricultural buildings in Norway [5]. The measurements were performed at the assumed<br />
maximum seasonal roof load. A total of 1300 measurements were done. Measurements<br />
were also performed in “undisturbed” areas close to the buildings. The effect of wind was<br />
not evaluated. Based on his observations, Høibø proposed roof-to-ground conversion<br />
factors for both leeward and windward side of the roof depending on roof angle and ground<br />
snow load. The magnitude of the ground snow load was found to affect the conversion<br />
factor strongly. A ground snow load equal to 1.0 kN/m 2 gave a conversion factor of<br />
respectively 0.75 and 0.82 for windward and leeward side of the roof. A ground snow load<br />
equal 3.5 kN/m 2 produced a conversion factor of respectively 0.48 and 0.62 for windward<br />
and leeward side. These formulas were restricted to buildings with ground snow load equal<br />
3.5 kN/m 2 or less and buildings not fully sheltered.<br />
After heavy snowfalls in the winter of 1975-76, snow depths and densities were<br />
measured at 55 pitched roofs (roof angles 18° – 25°) in Trondheim, Norway [6]. The snow<br />
was measured at 6 - 12 points at the most heavily loaded roof side. In addition, snow load<br />
was measured on the ground at 94 locations in the area of Trondheim. The roofs were<br />
anticipated to be cold roofs. The authors of this paper have calculated an average roof-toground<br />
ratio of 0.27 for windswept areas (based on the data from Løberg). For sheltered<br />
areas the average roof-to-ground ratio is calculated to 0.55.<br />
Taylor [7] performed a survey of snow loads on roofs of arena-type buildings in<br />
Canada. Data were collected for 32 curved roofs and 16 gable roofs through a 4-year pilot<br />
study of snow on buildings, case histories and newspaper reports (snow events in the<br />
period 1956-77). It was concluded that the maximum of the uniformly distributed loads for<br />
both gable and curved roofs, sheltered from wind, was approximately 80 % of the specified<br />
30-year return ground load. Five of these buildings were reported to be unheated. The<br />
effect of heat loss was not considered separately.<br />
In case studies performed by O’Rourke [8], roof and ground snow loads were<br />
measured for 199 buildings in Northeast, Midwest and Northwest USA, during three winter<br />
seasons in the period 1975-78. A total of 253 roofs were measured. Conversion factors<br />
defined as the ratio between the maximum roof load and the maximum ground load were<br />
calculated. Areas with infrequent snowfalls and small accumulations were reported to have<br />
higher ground-to-roof conversion factors than colder areas with substantial ground snow<br />
accumulation. Average conversion factors were calculated to be 0.78 for the sheltered<br />
roofs, 0.59 for the semi-sheltered roofs and 0.53 for the windswept roofs when the effects<br />
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