Reliability Based Design of High Capacity Micro-piles May 4th 2006 - PowerPoint PPT Presentation

ISM ’ 06 Schrobenhausen Reliability Based Design of High Capacity Micro-piles May 4th 2006 Yoshinori Otani ,P.E. ｊ p Hirose & Co., Ltd. Masaru Hoshiya Musashi institute of technology

Theme Performance Provision Design Limit State Design Method High-capacity Micro Pile Reliability Based Design Allowable-stress Design Method

Problem of setting up Limit State Performance function Z Code Code Safety Index β Calibration Calibration

Vertical Bearing Mechanism of HMP

Horizontal Bearing Mechanism of HMP Limit state 1 Limit state 2

Performance function Z i Vertical Bearing Horizontal Bearing

Computing of the Safety Index β 43 Design examples of HMP • Monte Carlo simulation method • FOSM method Coeffcient of variation （ Ground condition 、 Grout material 、 Load ）

Result of Calculation(1) 15 16 14 12 10 10 Frequency Frequency 8 6 5 4 2 0 0 1.5 1.6 1.7 1.8 1.9 2.0 1.5 1.6 1.7 1.8 1.9 2.0 1 2 3 4 5 1 2 3 4 5 Safety Index βａ Safety Index β1 Figure 1 Histogram of Overall Histogram of Figure 2 Safety index β a Safety Index β 1 30 16 14 25 12 20 10 Frequency Frequency 15 8 6 10 4 5 2 0 0 10.5 11.0 11.5 12.0 12.5 13.0 13.5 3.0 3.2 3.4 3.6 3.8 4.0 1 2 3 4 5 1 2 3 4 5 6 Safety Index β3 Safety Index β2 Figure 3 Histogram of Figure 4 Histogram of Safety Index β ２ Safety Index β 3

Result of Calculation(2) 16 20 14 Frequency Frequency 12 15 10 8 10 6 4 5 2 0 0 0.30 0.40 0.50 0.60 0.70 0.80 0.90 0 40 0 60 0 80 1 00 1 20 1 40 Safety Index β １ Safety Index β 2 Figure 6 Histogram of Histogram of Figure 5 Safety Index β ２ Safety Index β 1

Influence of Uncertainty • Ground characteristic No uniformity, ground water • Construction dependency of MP boring, grouting, Uncertainty of Reliability Based Design

Summary the HMP design Optimization Statistical works by accumulating the data An uncertainty of the ground characteristic and the construction dependency of HMP