The finite displacement of thin rods

Abstract

The unstrained rod. 68 3. The strained rod. 70 4. Stress-strain relations. 73 5. Equations of equilibrium and compatibility. 74 6. Macroscopic equations of equilibrium. 74 7. The method of approximation. 77 8. The fundamental equations. 82 9. The first approximation : the stress. 85 10. The first approximation: the macroscopic equations of equilibrium. 87 11. The second approximation: the stress. 91 12. The second approximation: the macroscopic equations of equilibrium. 93 13. The straightening of naturally curved thin rods by terminal force-systems. 94 14. Remarks on the experimental determination of elastic constants. 99