Direct Calculation Formulae for Critical Depth of II Type Horseshoe Tunnel with Flat-Bottom

Feng Ling Li; Hui Wen

doi:10.4028/www.scientific.net/AMM.353-356.1339

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 353-356Direct Calculation Formulae for Critical Depth of...

Direct Calculation Formulae for Critical Depth of II Type Horseshoe Tunnel with Flat-Bottom

Abstract:

Abstract: II type horseshoe with flat–bottom evolved from standard II type horseshoe cross-section. It is composed of a flat-bottom and three arc sections. It is commonly applied in the field of hydroelectric engineering. The critical depth computation equation for II type horseshoe cross-section with flat–bottom tunnel is a transcendental equation and no analytic solution. In this paper, based on the mathematics transformation for the basis equation and the relationship analysis between the dimensionless critical depth and the relative parameters, a direct solution is established for the calculation of critical depth for II type horseshoe cross-section with flat–bottom tunnel according to the fitting principle. This method overcomes the shortage of other iterative trial calculating methods, such as complex calculation step, depend on the special chart and curve, and existed serious error. The formula is simply and the maximum error is less than 0.515% under the general engineering design range (ratio of critical depth and arch radius is located between the 0 - 1.60).

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Periodical:

Applied Mechanics and Materials (Volumes 353-356)

Pages:

1339-1344

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.353-356.1339

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Online since:

August 2013

Authors:

Feng Ling Li*, Hui Wen

Keywords:

Critical Depth, Direct Calculation Formula, II Type Horseshoe Cross-Section with Flat-Bottom

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* - Corresponding Author

References

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