Technical Notes
Jun 10, 2011

Estimating 3D Volume Using Finite Elements for Pit Excavation

Publication: Journal of Surveying Engineering
Volume 138, Issue 2

Abstract

In studies related to ground excavations, glaciers, human brains, or many other branches of science, a need to know often arises regarding the volume of an irregularly shaped object or region in 3D space. An approach using finite elements offers a closed form solution that can accommodate uneven spacing with scattered data points and arbitrary boundaries. Using numerical examples, results from the proposed method are presented and accuracy compared with known solutions.

Get full access to this article

View all available purchase options and get full access to this article.

References

Chambers, D. W. (1989). “Estimating pit excavation volume using unequal intervals.” J. Surv. Eng.JSUED2, 115(4), 390–401.
Chen, C. S., and Lin, H. C. (1991). “Estimating pit excavation volume using cubic spline volume formula.” J. Surv. Eng.JSUED2, 117(2), 51–66.
Easa, S. M. (1988). “Estimating pit excavation volume using nonlinear ground profile.” J. Surv. Eng.JSUED2, 114(2), 71–83.
Easa, S. M. (1998). “Smooth surface approximation for computing pit excavation volume.” J. Surv. Eng.JSUED2, 124(3), 125–133.
MS Excel [Computer software]. Redmond, WA, Microsoft Corporation.
Yanalak, M. (2005). “Computing pit excavation volume.” J. Surv. Eng.JSUED2, 131(1), 15–19.
Yilmaz, H. M. (2010). “Close range photogrammetry in volume computing.” Experimental TechniquesEXPTD2, 34(1), 48–54.
Zienkiewicz, O. C., and Taylor, R. (2000). “The finite element method.” 5th Ed., Butterworth-Heinemann, Woburn, MA, 185–186.

Information & Authors

Information

Published In

Go to Journal of Surveying Engineering
Journal of Surveying Engineering
Volume 138Issue 2May 2012
Pages: 85 - 91

History

Received: Aug 13, 2010
Accepted: Jun 8, 2011
Published online: Jun 10, 2011
Published in print: May 1, 2012

Permissions

Request permissions for this article.

Authors

Affiliations

B. Mukherji, M.ASCE [email protected]
The Boeing Company (retired), Seattle (corresponding author). E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share