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Incipient motion of riprap on steep slopes

Thesis (MEng)--Stellenbosch University, 2013.

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Main Author: Langmaak, Kai Rainer
Other Authors: Basson, G. R.
Format: Thesis
Language:en_ZA
Published: Stellenbosch : Stellenbosch University 2013
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access_status_str Open Access
author Langmaak, Kai Rainer
author2 Basson, G. R.
author_browse Basson, G. R.
Langmaak, Kai Rainer
author_facet Basson, G. R.
Langmaak, Kai Rainer
author_sort Langmaak, Kai Rainer
collection Thesis
dc_rights_str_mv Stellenbosch University
description Thesis (MEng)--Stellenbosch University, 2013.
format Thesis
id oai:scholar.sun.ac.za:10019.1/85816
institution Stellenbosch University (South Africa)
language en_ZA
last_indexed 2026-06-10T12:43:05.531Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository
publishDate 2013
publishDateRange 2013
publishDateSort 2013
publisher Stellenbosch : Stellenbosch University
publisherStr Stellenbosch : Stellenbosch University
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source_str SUNScholar — Stellenbosch University Repository
spelling oai:scholar.sun.ac.za:10019.1/85816 Incipient motion of riprap on steep slopes Langmaak, Kai Rainer Basson, G. R. Stellenbosch University. Faculty of Engineering. Dept. of Civil Engineering. Incipient motion Riprap Dissertations -- Civil engineering Slopes (Soil mechanics) Soil conservation Bed arrestors Theses -- Civil engineering Thesis (MEng)--Stellenbosch University, 2013. ENGLISH ABSTRACT: Riprap is commonly used as an erosion protection measure around the world. In some cases, for example when constructing bed arrestors, riprap has to be designed to be stable on steep slopes. The literature shows that the problem of incipient motion is reasonably well understood, but existing hydraulic design methods are found to be largely unreliable. The main objective of this study is to improve the understanding of the different factors affecting incipient motion in order to furnish the prospective design engineer with a reliable method for sizing riprap on steep slopes adequately. Eight existing theories dealing with the threshold of incipient motion are reviewed, of which Liu’s work (1957) seems most promising. Naturally, the required median rock diameter of the riprap is reasonably large (due to the steep slopes), with high particle Reynolds numbers. However, little data is available for these flow conditions. Data collected from 12 large scale laboratory tests carried out for this research indicate that the dimensionless Movability Number is in fact constant for large particle Reynolds numbers. For design purposes, the recommended Movability Number which emerged from this study is 0.18, provided that the steep bed slope is taken into account, and that the theoretical settling velocity is calculated using an accurate drag coefficient and the d90 sieve size. A comparison of the laboratory data with design equations showed that a large variety of results are obtained, which supports the need for this study. Finally, it was shown that a calibrated one dimensional hydrodynamic model can be used by the practicing engineer to extract the hydraulic properties needed for applying Liu’s theory. It was found that the ratio ks/d90 = 0.81 may be applied to estimate the bed roughness for the grading used in this study. AFRIKAANSE OPSOMMING: Stortklip is ‘n metode wat wêreldwyd gebruik word om erosie te voorkom. In sommige gevalle, byvoorbeeld vir die konstruksie van erosietrappe, moet stortklip teen steil hellings spesifiek ontwerp word om stabiliteit te verseker. Die literatuur beskryf die probleem van aanvanklike beweging redelik goed, maar dit is bevind dat die bestaande ontwerpmetodes grotendeels onbetroubaar is. Die hoofdoelwit van hierdie ondersoek was om die faktore wat beweging van stortklip veroorsaak, beter te verstaan en ‘n betroubare metode te ontwikkel wat ’n ingenieur kan aanwend om stortklipbeskerming wat op steil hellings geplaas word te ontwerp. Agt verskillende metodes wat die begin van beweging beskryf is bestudeer, en dit wil voorkom asof die Liu teorie van 1957 die grootste potensiaal het. As gevolg van die steil hellings wat ondersoek word, is die benodigde klipgroote redelik groot wat weereens die oorsaak is vir ‘n hoë deeltjie Reynolds getal is. In die literatuur kon geen data gevind word vir so ‘n vloeitoestand nie. Daarom is 12 laboratoriumtoetse gedoen en daar is gevind dat die Mobiliteitsgetal redelik konstant is vir groot deeltjie Reynoldsgetalle. Vir onwerpdoeleindes word ‘n Mobiliteitsgetal van 0.18 aanbeveel, met die voorwaarde dat die bodemhelling in ag geneem word, en dat die teoretiese valsnelheid bereken word met die d90 klipgroote en ‘n akkurate sleurkoëffisiënt. Verder is gevind dat die labaratorium data die voorspellings van die bestaande ontwerpvergelykings nie bevredigend pas nie. Dit ondersteun die behoefte vir hierdie studie. Om die bogenoemde bevindings vir praktiese probleme bruikbaar te maak, is daar gewys dat ‘n gekalibreerde een dimensionale hydrodinamiese rekenaarmodel gebruik kan word om die nodige hidrouliese eienskappe te verkry om die Liu teorie toe te pas. Dit is bevind dat die verhouding ks/d90 = 0.81 ‘n goeie benadering vir die hidrouliese ruheid kan voorsien. 2013-11-01T08:08:00Z 2013-12-13T17:14:18Z 2013-11-01T08:08:00Z 2013-12-13T17:14:18Z 2013-12 Thesis http://hdl.handle.net/10019.1/85816 en_ZA Stellenbosch University xvi, 109, xxvii p. : ill. application/pdf Stellenbosch : Stellenbosch University
spellingShingle Incipient motion
Riprap
Dissertations -- Civil engineering
Slopes (Soil mechanics)
Soil conservation
Bed arrestors
Theses -- Civil engineering
Langmaak, Kai Rainer
Incipient motion of riprap on steep slopes
title Incipient motion of riprap on steep slopes
title_full Incipient motion of riprap on steep slopes
title_fullStr Incipient motion of riprap on steep slopes
title_full_unstemmed Incipient motion of riprap on steep slopes
title_short Incipient motion of riprap on steep slopes
title_sort incipient motion of riprap on steep slopes
topic Incipient motion
Riprap
Dissertations -- Civil engineering
Slopes (Soil mechanics)
Soil conservation
Bed arrestors
Theses -- Civil engineering
url http://hdl.handle.net/10019.1/85816
work_keys_str_mv AT langmaakkairainer incipientmotionofripraponsteepslopes