›› 2012, Vol. 33 ›› Issue (10): 3037-3042.

• Geotechnical Engineering • Previous Articles     Next Articles

Difference and modification of regression analysis methods to estimate shear strength parameters obtained by triaxial test

YU Dong-ming1, YAO Hai-lin1, WU Shao-feng2   

  1. 1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China; 2. Foshan Nanhai Power Supply Bureau, Guangdong Power Grid Corporation, Foshan, Guangdong 528200, China
  • Received:2011-06-08 Online:2012-10-10 Published:2012-10-19

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Abstract: The values of shear strength parameters, c and φ, estimated by two linear regression methods from data of rock or soil triaxial test are different. To reveal the basic cause of differences between the two regression methods, the principle of linear regression based on the least square method is analyzed thoroughly. The results estimated by regressing maximum principal stress with minor principal stress are the best values, while the results obtained by regressing maximum shear stress with average normal stress are not reliable. Modification for least square method of the latter regression method is done to obtain uniform results. Formulas for calculating modified regression coefficients are deduced. It is proved that results by the two methods after modification are the same; and they are applied to calculate the shear strength parameters in triaxial tests of phyllite. The results show that to rock or soil triaxial test, the values of shear strength parameters calculated by the two methods after modification are also the same best and unbiased estimations.

Key words: shear strength, linear regression, least square method, triaxial compression test

CLC Number: 

  • TU 411.7
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