Elastic Equilibrium of Semi-Infinite Solid. ßg 



CONTENTS, 



I. Introduction 



§§ 1— 4. 



II. Solution of Equation of Equilibrium. 



§ 5. Differential equations concerning the equilibrium of a semi-infiuite 



elastic body. 

 §§ 6 — S. Solution for displacement. 

 § 9. Solution for stress. 



III. Lamé and Clapeyrons Problem. 



§10. Statement of the problem and typical solution. 



§11. General solution for any given normal pressure at the boundary. 



IV. Examples in the Case of Symmetry. 



§12. General solution for the case of .symmetry. 



Example I. 



§13. Normal pressure concentrated at a point. 



§14. Failure of the solution. 



Example II. 



§§15 — 17. Diffused distribution of normal pressure according to the law Al{d-+i-)l. 

 §§18—20. Application to the problem of rupture of foundation. Stability of a 

 mountain. 



Example III. 



§21. Normal pressure distributed uniformly over a circular area. 



§22. Evaluation of certain integrals. 



§§28 — -27. Expressions for displacement. 



§§28 — 29. Formulae for stress 



§30. Singularity at the edge of the loaded area. 



§31-. Application to the rupture of the surface. 



§§32 — 34. Eff'ect of a material loading on the water-level measurement. 



