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Analytical Estimates of Loblolly Pine Tree Center of Mass and Mass Moment of Inertia

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Center of mass and mass moment of inertia of a solid can be calculated by appropriate integration over the volume of the object. Taper functions estimate tree stem diameter as a function of stem height and dbh. Center of mass and mass moment of inertia about two axes were estimated for 21 loblolly pine (Pinus taeda) trees using nine different taper functions to estimate the volume of integration. Laboratory measurements (from a previous study) of the same 21 trees served as a basis for evaluating and comparing the estimates. The center of mass values determined via the taper equations are similar among taper functions. However, significant differences were found, most importantly between measured values and estimates using six of the taper functions. Few significant differences were found in the mass moment of inertia values estimated via taper equations. For. Sci. 35(1):126-136.

Keywords: Pinus taeda; Taper functions; engineering properties

Document Type: Journal Article

Affiliations: School of Forestry and Alabama Agricultural Experiment Station, Auburn University, AL 36849

Publication date: March 1, 1989

More about this publication?
  • Forest Science is a peer-reviewed journal publishing fundamental and applied research that explores all aspects of natural and social sciences as they apply to the function and management of the forested ecosystems of the world. Topics include silviculture, forest management, biometrics, economics, entomology & pathology, fire & fuels management, forest ecology, genetics & tree improvement, geospatial technologies, harvesting & utilization, landscape ecology, operations research, forest policy, physiology, recreation, social sciences, soils & hydrology, and wildlife management.
    Forest Science is published bimonthly in February, April, June, August, October, and December.

    2015 Impact Factor: 1.702
    Ranking: 16 of 66 in forestry

    Also published by SAF:
    Journal of Forestry
    Other SAF Publications
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