Failure Modes of Simple Pressure VesselsRoger Cortesi (SM Mechanical Engineering MIT) 21-Jun-02Only Change Values in BLUE References: Woods Hole Oceanographic Institute Technical Memorandum 3-81 Failure Curves of Cylindrical/Spherical Pressure Vessels and Flat End Caps. By Arnold G. Sharp, August 1981. Roark's Formulas for Stress and Strain, 6th Edition By Warren C. Young 1989 McGraw-Hill These values are just for referance Material Young's Modulus Yield Stress [Pa] [Pa] Aluminum 6061 7.00E+10 Stainless Steel 304 1.90E+11 Delrin 2.83E+09 Aluminum Oxide 4.00E+11 Epoxy (West Marine) 3.17E+08 Material Properties Used In Calculations Change these to change plots Youngs Modulus [Pa] 1.90E+11 Yield Stress [Pa] 2.05E+08

Poisson's Ratio 2.70E+08 2.05E+08 8.90E+06 5.00E+09 5.00E+07 0.33 0.27 0.3 0.3 0.33 Poissons Ratio 0.27

Depth [meters] 0 250 500 750 1000 1250 1500 1750 2000 2250 2500 2750 3000 3250 3500 3750 4000 4250 4500 4750 5000 5250 5500

Cylinder Yielding [T/OD] Cylinder Buckling [T/OD] Depth [Meters] 0.000 0.000 0.006 0.018 0.012 0.023 0.018 0.026 0.025 0.029 0.031 0.031 0.037 0.033 0.044 0.035 0.050 0.036 0.057 0.038 0.064 0.039 0.071 0.040 0.078 0.042 0.085 0.043 0.092 0.044 0.100 0.045 0.107 0.046 0.115 0.047 0.123 0.048 0.131 0.048 0.139 0.049 0.147 0.050 0.156 0.051

0 250 500 750 1000 1250 1500 1750 2000 2250 2500 2750 3000 3250 3500 3750 4000 4250 4500 4750 5000 5250 5500

Endcap Yielding [T/OD] 0.000 0.061 0.086 0.105 0.121 0.135 0.148 0.160 0.171 0.182 0.191 0.201 0.210 0.218 0.227 0.235 0.242 0.250 0.257 0.264 0.271 0.277 0.284