# AAE 450 Spring 2008 Molly Kane February 28, 2008 Structures Group Inert Mass/Standard Deviations.

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AAE 450 Spring 2008 Molly Kane February 28, 2008 Structures Group Inert Mass/Standard Deviations

AAE 450 Spring 2008 Tolerances  Method of Calculation 10 ft 1/8 in. Nominal Area = 100 ft 2 = 9.290304 m 2 Maximum Area = 100.208 ft 2 = 9.30966888 m 2 Minimum Area = 99.7918 ft 2 = 9.27095928 m 2 Divide nominal volume by thickness to get “area”. Add tolerances to area based on change in sample area. Multiply by thickness to get minimum/maximum volumes. Multiply by density to get masses. Structures Group Tolerance (max) = 0.019365 Tolerance (min) = 0.019345

For skirts, thickness is constant. t_skirt = 3.5 mm Thickness tolerance is then t_skirt_tolerance = 0.08 mm Tolerances for tank thickness varied with nominal tank thickness. t_tank_tolerance = 0.04 mm – 0.07 mm Tolerances, cont’d All tolerances were then combined to find the lowest mass and highest mass options. SB-HA-DA-DAMB-HA-DA-DALB-HA-DA-DA Nom Total80.26992210.990258375.724329 Min Total85.21089198.894465337.572208 Max Total89.41191192.901037328.515215 Std Dev9.29263.97515.3369 %14.90892.041.6064 Included in inert mass: Tanks Skirts Nose Cone Pressure addition

AAE 450 Spring 2008 Backup Slides Structures Group SB-HA- DA-DA MB-HA- DA-DA LB-HA- DA-DA Nom Total80.26992 210.99025 8 375.72432 9 Min Total85.21089 198.89446 5 337.57220 8 Max Total89.41191 192.90103 7 328.51521 5 Std Dev9.29263.97515.3369 %14.90892.041.6064 SB-HA- DA-DA MB-HA- DA-DA LB-HA- DA-DA Tank Nom18.584667.5525202.858 Tank Min18.115465.901198.4847 Tank Max19.055669.2104207.2486 Intertank Nom32.173783.43430.6998 Intertank Min31.271181.090329.8701 Intertank Max33.046885.604731.5329 Skirt Nom20.8837930.31706559.307408 Skirt Min20.8403130.25393759.183915 Skirt Max20.9273230.38025859.431029 Nose Cone1.31221.43671.2284 Pressure2.96412.179138.1417

AAE 450 Spring 2008 Structures Group VanguardSB-HA-DA-DAMB-HA-DA-DALB-HA-DA-DA Stage 1 Nominal (m)17979126.56268.47600.45 Stage 1 Std Dev74.600.5251.11422.4918 Stage 1 %error0.41500% Stage 2 Nominal (m)4405.0018.0619.0025.36 Stage 2 Std Dev9.10000.03730.03930.0524 Stage 2 %error0.20660% Stage 3 Nominal (m)n/a12.889.7511.66 Stage 3 Std Devn/a0.02660.02010.0241 Stage 3 %errorn/a0.20660% Vanguard Standards SB- HA- DA-DA MB- HA- DA-DA LB- HA- DA-DA Nom Total 80.269 92 210.99 0258 375.72 4329 Min Total 85.210 89 198.89 4465 337.57 2208 Max Total 89.411 91 192.90 1037 328.51 5215 Code Total157.5297.22637.47

Thickness (mm)Tolerance (mm) Table 11-2 from Kverneland

Backup Slides Table 10-2B from Kverneland

References  Kverneland, K. O., Metric Standards for World Wide Manufacturing, The American Society of Mechanical Engineers, 1996, N.Y.,N.Y.  Schwing, A., Standard Deviation Presentation  Gilchrist Metal Fabricating, www.gmfco.com

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