Evaluation of Stress Concentration on Tubes with Transversal Hole

Study on evaluating stress concentration on tubes with transversal holes using the finite element method. The research aims to understand the stress concentration factor evolution to develop a generalized equation. Various load cases and criteria analyses were performed, debunking assumptions about stress distribution at hole locations. Results show discrepancies in stress location predictions compared to the Peterson method.

• Stress Concentration
• Finite Element Method
• Mechanical Engineering
• Tubes
• Stress Analysis

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1. EVALUATION OF THE STRESS CONCENTRATION ON TUBES WITH TRANSVERSAL HOLE BY MEANS OF THE FINITE ELEMENT METHOD Author: Ben Jordan Baxter Director: Juan Jos R denasGarc a July 2016

2. INDEX Summary and geometrical model Mesh generation Boundary conditions Results Macro FEM and Peterson discrepancy Polynomial Fitting Conclusions

3. Study stress concentration factor evolution and obtain an equation that represents this phenomenon, regardless geometry and forces MAIN GOAL ESSENTIAL PARAMETERS DEFINING GEOMETRICAL FEATURES: D, d/D, di/D

4. ACADEMIC ANSYS VERSION: 32000 NODE LIMITATION

5. AXIAL FORCE BENDING MOMENT TORSIONAL MOMENT EMBEDMENT AND USE OF A RIGID REGION FOR LOAD APPLYING THREE LOAD CASES

7. VERIFY STRESS DISTRIBUTION IS CORRECT AND MAXIMUM STRESS IS AT HOLE ???? ????? ?????? ??????? ??=

8. 64 POSSIBLE ANALYSES THREE LOAD CASES WITH THREE DIFFERENT CRITERIONS 576 RESULTS PROCESS AUTOMATION HOW TO CALL MACRO ? SOLVETUBE, D, d/D, di/D AUTOMATIC DATA SAVING SEPARATED IN FILES

9. AXIAL FORCE 1ST PRINCIPLE STRESS 8 7 6 di/D = 0.9 Kt 5 di/D = 0.8 di/D = 0.6 4 3 2 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 d/D SAME TENDENCY BUT SLIGHT DIFFERENCES. WHY?

10. MAXIMUM STRESS ISN`T ALWAYS AT EXTERIOR LAYERS MAX STRESS LOCATION CHANGES WITH GEOMETRY PETERSON USED STRAIN GAGES ON EXTERIOR LAYERS EXPECTING MAX STRESS TO ALWAYS BE AT THIS LOCATION FEM PROVED PETERSON`S METHOD ISN`T TOTALLY CORRECT

11. FIT RESULTS TO A COMPLETE THIRD DEGREE POLYNOMIAL HOW ? MATLAB LEAST SQUARE METHOD STRESS CONCENTRATION FACTOR FUNCTION OF d/D AND di/D RESULTS FOR AXIAL FORCE

12. PROVES FINITE ELEMENT METHOD AS A POWERFUL CALCULUS TOOL AGAINST PETERSON`S EXPERIMENTAL METHODS