A Mathematical Model Analysis for Safe Stair Dimension Based on Features of the Heel Trajectory -Evaluation of the Law and the Guideline for the Elderly in Japan-
踵軌跡の特徴にもとづいた数式モデルによる安全な階段寸法の分析―高齢社会に対応した法律や指針が推奨する階段寸法の検討―

Akihiro OHNISHI, Yoshihiro EHARA
2009 Journal of the Society of Biomechanisms  
This study examined the safety and accessibility of stairs for elderly people. A motion capture system was used to measure the heel trajectory while descending the stairs. In our earlier study, we found that the heel trajectories tended to become more linear the faster the subjects descended the stairs, so we developed a mathematical model to reflect the linear trajectory. Using this model, we could calculate the K-value, which is the shortest distance between the heel and the stair nosing. The
more » ... value varied with the dimensions of the stairs, the tread and the rise, and other foot positioning parameters for normal descending and non-normal descending. A negative K-value indicated that the heel trajectory might hit the stair nosing if the subject descended hastily. In this study, it was assumed that such stair dimensions could be dangerous. As a result, the stair dimensions recommended by "The act on buildings accessible and usable for the elderly and physically disabled" were judged to be safe provided that elderly peopled descended normally. In addition, we considered that the elderly could not descend normally stairs with dimensions of a rise of less than 10 cm and a tread of more than 30 cm, which are used in public places. The dimensions recommended by the "Guidelines of housing design device to cope with aged society" were judged to be rather dangerous. However it was unsuitable that stair dimensions of our recommendation need more capacity for housing in Japan.
doi:10.3951/sobim.33.64 fatcat:rbyin566gvgtxlbbra5toazune