A Study on the Effects of Lateral Displacement of Retaining Wall on the Distribution of Lateral Earth Pressure -In the Case of Sloping Noncohesive Backfills-

벽체(壁體)의 변위(變位)와 토압분포(土壓分布)와의 관계(關係)에 대(對)한 연구(硏究) -비점성토(非粘性土)의 지표면(地表面)이 경사(傾斜)질 경우-

  • Cho, Hi-Doo (College of Agriculture, Chon-nam National University)
  • Received : 1973.01.21
  • Published : 1973.03.30

Abstract

This study was performed for the purpose of determining the effects of distribution of the lateral earth pressure in the case of sloping backfills of being consisted of the idealized cohesionless fragmental masses. The displacements were classified as eight types by D_UBROVA (by patterns). B type among these has its turning point at the top of the wall, moves outwardly and is significant to gravitational structure because of its foundation elasticity which causes displacement. Therefore, it might be surely acknowledged that the resultant, follows; $$E=1/2{\cdot}rH^2\frac{sin(u-{\varepsilon})cos({\alpha}+{\varepsilon})}{cos(u+{\alpha})}{\cdot}cot(u+{\rho})(t/m^3)$$, is appropriate for applying it to the designing of the sand-catch dams. The results obtained are as follows: 1. Lateral earth pressure is proportional to the square of the wall heights. 2. The coefficient(K) is directly proportional to the sloping of backfill surface and inversely proportional to the displacement. 3. The distribution of the pressure looks like parabola, curve of second order (Fig. 5, b). 4. The distribution of the pressure strength looks like that of hydrostatic pressure (Fig. 5, c).

$C_{\small{OULOMB}}$$R_{\small{ANKINE}}$의 토압론(土壓論)에 기초(基礎)하여 중력식구조물(重力式構造物)이나 deflection 성구조물(性構造物)에 흔히 발생(發生)한 B형변위(型變位)에 대하여 연구고찰(硏究考察)함으로써 식(式) $$E=1/2\;H^2\frac{sin(u-{\varepsilon})cos({\alpha}+{\varepsilon})}{cos(u+{\alpha})}{\cdot}cot(u+{\rho})$$을 얻었는데 이식(式)은 토압재분배(土壓再分配)를 고찰(考察)한 식(式)이므로 실용도(實用度)가 높으리라 생각되며 본식(本式)에 의(依)하여 다음과 같은 결론(結論)을 얻었다. 1. 토압(土壓)은 벽고(壁高)의 자승(自乘)에 직비례(直比例)한다. 2. 토압(土壓)은 지표(地表)의 경사도(傾斜度)에 정비례(正比例)하며 벽체(壁體)의 변위(變位)에 반비례(反比例)한다. 3. 토압선도(土壓線圖)는 이차포물선(二次抛物線)으로 분포(分布)한다(그림 5의 b). 4. 토압강도(土壓强度)는 정수압적분포(靜水壓的分布)를 한다(그림 5의 c).

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