7 Mensuration

[Amice Golden]

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In ArcGIS Pro, the mensuration tools are used to measure ground features in imagery. In some instances, when working with an elevation raster, the mensuration tools in the Mensuration group are disabled.

Certain mensuration tools are only available depending on the raster type. This can be determined by examining the information stored in the metadata of the raster. Refer to ArcGIS Pro: More about image mensuration for more information.

I would like to measure the volumes of some features in the ESRI Terrain image service, which seems like it should be possible with the 3D mensuration tool 'Volume' on the Imagery tab, given what I have read about it. But the tools are disabled whether I set Elevation (in the Mensuration Options dialog) as the image service or a locally saved clip from it. What am I missing?

Not much online about this issue. I was using the 3D mensuration tools on my drone2map dsm layer one day, and then the next day the tools are greyed out and won't work. I thought it might be licensing, but I have both the spatial and 3D analyst extensions enabled. Thought it might be because I moved my drone2map license to another user, but the tools still don't work now that I have a d2m license again. I've tried moving the dsm to my local C drive. I've created a new aprx and have the same issue. Seems like a bug at this point. Only thing else I can think to do is uninstall/reinstall Pro, or go to Pro 3.1 and see if that helps.

Mensuration is the branch of mathematics that studies the measurement of geometric figures and their parameters like length, volume, shape, surface area, lateral surface area, etc. Learn about mensuration in basic Mathematics.

Here, the concepts of mensuration are explained and all the important mensuration formulas are provided. Also, the properties of different geometric shapes and the corresponding figures are given for a better understanding of these concepts.

Frequently Asked Questions on MensurationQ1 What is mensuration in Maths?In maths, mensuration is defined as the study of the measurement of various 2D and 3D geometric shapes involving their surface areas, volumes, etc.

Mensuration refers to the calculation of various parameters of shapes like the perimeter, area, volume, etc. whereas, geometry deals with the study of properties and relations of points and lines of various shapes.

"act of measuring," 1570s, from French mensuration or directly from Late Latin mensurationem (nominative mensuratio) "a measuring," noun of action from past-participle stem of mensurare "to measure," from Latin mensura "a measuring, a measurement; thing to measure by," from mensus, past participle of metiri "to measure" (from PIE root *me- (2) "to measure").

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit mati "measures," matra "measure;" Avestan, Old Persian ma- "to measure;" Greek metron "measure," metra "lot, portion;" Latin metri "to measure."

Forest Mensuration is an essential, practice-based handbook designed to help all those working in the timber trade and forestry understand how to measure trees and timber. Written for practitioners, researchers and students, this new edition aims to cut through some of the complexities of forest mensuration by providing a logical format and additional advice to help readers find the information they need more easily. A key to measurement procedures at the start of the book guides readers towards selecting appropriate methods of measurement. The Handbook includes a comprehensive set of charts, tables and equations alongside step-by-step guidance to help readers in applying procedures which currently represent best practice in British forestry.

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Forest mensuration (also called forest measurements) has undergone a number of important changes in recent years. Electronic measuring devices using laser or ultrasound emissions have become commonly used to measure distances. These devices have reduced the time to measure tree heights considerably, and can be used to quickly obtain other tree parameter measures including spatial positions. Ground Positioning Systems (GPS) that triangulate satellites to determine ground positions have become widely used. Read more

ANTHONIE VAN LAAR was born in the Netherlands in 1923 and studied forest science at the University and Research Centre Wageningen between 1941 and 1949. In 1958 he emigrated to South Africa and obtained the D.Sc.degree in Forest Science at the University of Stellenbosch (1961) and thereafter Dr.oec.pub (1973) and Dr.hab. (1979) at the University of Mnich. The theses dealt with forest biometry and growth modeling. Since his retirement in 1988 the author continued his involvement in these subjects, more particularly in growth models for Eucalyptus grandis.

ALPARSLAN AKCA (born 1936) studied forestry at the University of Istanbul an Freiburg i. Br. He received his doctorate in Forestry at the University of Freiburg on identification of land use classes and forest types by means of microdensitometer and discriminant analyses in 1970 and his habilitations in photogrammetry and geodesy at the University of Istanbul in 1976 and in forest inventory and forest management at the University of Gttingen in 1981. He is Professor for Forest Management, Forest Inventory and Remote sensing at the University of Gttingen and retired 2001. His main research interest are forest mensuration. Forest inventory and remote sensing in forestry.

(English pronunciations of mensuration from the Cambridge Advanced Learner's Dictionary & Thesaurus and from the Cambridge Academic Content Dictionary, both sources Cambridge University Press)

This technical bulletin reprints the recommendations on the standardization of symbols in forest mensuration, originally published in 1959. The recommendations were made by a small working group in Section 25 of the International Union of Forestry Research Organizations, which was appointed at the Congress of the Union held in Rome in 1953. Members of the group were asked to enquire into the possibility of standarizing the use of symbols (and the systems of measurement) in forest mensuration and to make recommendations.

Cascade impaction is the primary analytical method used to assess the performance of inhalation products. It permits capture and chemical analysis of different size fractions of a dose, and regulatory authorities recommend its use for the testing of all inhalation formulations and devices. Impactor specifications and test methods are included in both the US and European Pharmacopoeias.

Periodic maintenance and/or calibration, of both the impactor and ancillary equipment, ensures accurate, consistent measurement from the inhaler testing system as a whole. Stage mensuration, which involves measuring the critical dimensions of each nozzle on every stage, is the process used to verify performance, for both new and in-use impactors.

Cascade impactors exploit differences in inertia to separate particles within a certain size range. Sample-laden air is drawn through the stages of the impactor, each of which is machined with a number of nozzles with closely specified exit diameters. The diameters of the nozzles and, consequently, overall nozzle area decrease with increasing stage number and accelerate the particle/air stream as it passes through the stages.

Inertia is a function of particle mass/size and velocity. As particles pass through the exit of the nozzle, those with sufficient inertia cross the flow streams and impact directly on a collection surface, while smaller particles remain entrained in the air and pass on to the next stage (Figure 1). As velocity increases from stage to stage, smaller particles acquire sufficient inertia to reach the collection surface. In this way, impactors divide a sample into a number of clearly defined fractions, each of which can be easily analysed to determine chemical composition.

Nozzle exit diameter is a critical parameter for impactor performance. Well-manufactured impactors have cylindrical nozzles, typically with a tapered or trumpet-shaped inlet to reduce inlet losses, but, critically, a sharp nozzle exit with a tightly specified diameter that controls nozzle area, air velocity and, hence, the inertia acquired by the particles. Stokes Law, which is key to impactor theory, can show that the cut-off diameter of any stage is a function of the number of nozzles, nozzle area and the volumetric flow rate of air passing through the impactor. The latter is tightly controlled during testing primarily using high-precision, calibrated flow meters and, in some cases, critical (sonic) flow control apparatus. Flow control is a complex subject in its own right and a detailed discussion is beyond the scope of this article. Consistent nozzle dimensions are also vital for accurate measurement.

Cascade impactors are designed to deliver specific stage cut-off diameters, and achieving this performance depends on accurate manufacturing and appropriate maintenance of the instrument. During use, erosion, corrosion and/or occlusion of the nozzles is unavoidable. Effective dissolution of the API often demands the use of corrosive solvents, while the rapid passage of particles through the nozzles inevitably causes wear. The formation of oxidized impurities at the nozzle exit is a commonly encountered cause of occlusion, especially for aluminium impactors, which is why materials such as stainless steel and titanium are now also used.

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