This document analyzes the structural safety of an arch structure using finite element modeling. It makes assumptions about the structure's geometry and the material properties of stone. A shell element model with 6-inch elements is used. Two analyses are performed: (1) for self-weight, the weight multiplier is incrementally increased until failure occurs at 19.072 times the actual weight; (2) for displacement, a boundary condition allows downward movement at the central pier, causing failure in tension at 3.565 times the displacement. The analyses determine safety factors for self-weight and displacement-induced failure modes.
3. SEQUENCE Assumptions Pertaining Geometry of Structure Assumptions Pertaining Material Properties Salient of Finite Element Model Analysis for Factor of Safety for Self Weight Analysis for Factor of Safety for Displacement Conclusion
5. Assumptions Pertaining material properties(stone) E = 30,000 N/mm2 Density = 2500 kg / m3 Poisson’s Ratio = 0.2 Compressive Strength = 30 N / mm2 Tensile Strength = 2 N / mm2
6. Salient of finite element model Element Type - Shell (Thick) Element Size - 6 inches Material - Stone
10. PROCEDURE Start from self weight multiplier zero Increase the multiplier step by step and by iterative approach find the factor of safety required for collapse Since self weight acts downward causing compression in the structure so it will fail in compression
22. PROCEDURE Impose boundary condition on central pier i.e allow downward movement so as to cause differential settlement in the structure Start from self weight multiplier zero Increase the multiplier step by step and by iterative approach find the factor of safety required for collapse Since differential settlement will cause tension in central pier so it will fail in tension