Ultimate lateral load resistance of laterally loaded pile

Several methods are available for predicting ultimate lateral load resistance of laterally loaded pile. These methods often produce significantly different ultimate lateral resistance. This makes it difficult to select an appropriate method in designing/predicting ultimate lateral resistance of pile. This paper presents a review of two different methods; Meyerh of and Patra & Pise for predicting lateral resistance of pile. Then, the predicted ultimate lateral resistances by these two methods are compared with the experimental results. It is found that Meyerhof's method gives better prediction for single pile with smaller L/d ratio whereas Patra & Pise method gives better predictions for pile groups with higher L/d. Thus, none of these methods can be applicable universally for all possible conditions. Also the parametric study on ultimate lateral resistance revealed that length to diameter ratio, pile spacing, pile configuration in a pile group are important parameters for prediction of lateral load resistance. © 2009 Taylor & Francis Group.

K1 of Chevalley groups are nilpotent

Abstract Let F be a reduced irreducible root system and R be a commutative ring. Further, let G(F,R) be a Chevalley group of type F over R and E(F,R) be its elementary subgroup. We prove that if the rank of F is at least 2 and the Bass-Serre dimension of R is finite, then the quotient G(F,R)/E(F,R) is nilpotent by abelian. In particular, when G(F,R) is simply connected the quotient K1(F,R)=G(F,R)/E(F,R) is nilpotent. This result was previously established by Bak for the series A1 and by Hazrat for C1 and D1. As in the above papers we use the localisation-completion method of Bak, with some technical simplifications.