﻿ Calculation of Shear force distribution on surface of underground structure during earthquake

# Calculation of Shear force distribution on surface of underground structure during earthquake

 1 Dynamic shear deformation coefficient：GD kN/m^2 - 2 Velocity Response Spectra：Sv cm/s on base rock surface 3 Natural Period of surface strata：Ts s - 4 Thickness of surface strata：H m - 5 Depth from surface：zu m - 6 Depth from surface：zb m H＞zb＞zu 7 Graph H(m)- τ(s)(kN/m^2) z(m)- τ(z)(kN/m^2) Plot Input Data： YesNo , Figure： OnOff
:Export Graph Image.

## LaTex

$\tau _{i}=\frac{G_{D}}{\pi \cdot H}\cdot S_{v}\cdot T_{s}\cdot \sin\frac{\pi \cdot z_{i}}{2H},\, \tau _{s}=\frac{\tau_{u}+\tau_{b}}{2}$

## Keyword

Dynamic shear deformation coefficient,Shear force distribution on surface of underground structure during earthquake,Velocity Response Spectra on base rock surface(Bedrock),Natural Period of surface strata,Depth from surface.

## Reference

[1]：吉田巌,世良耕作,平原勲監修：『建築・土木基礎の耐震設計と解析例』,総合土木研究所,p.219,2008

## Remarks

・Sv：Velocity Response Spectra on base rock surface(Bedrock)
・GD：Dynamic shear deformation coefficient
・u(z)：Displacement on Surface
・Ts：Natural Period of surface strata
・H：Thickness of surface strata
・z：Depth from surface