By Irwin E. Alber
Engineers have to collect “Back-of-the-Envelope” survival abilities to acquire tough quantitative solutions to real-world difficulties, quite while engaged on initiatives with huge, immense complexity and extremely constrained assets. within the case stories handled during this ebook, we exhibit step by step examples of the actual arguments and the ensuing calculations acquired utilizing the quick-fire approach. We additionally exhibit the estimation advancements that may be bought by utilizing extra distinct physics-based Back-of-the-Envelope engineering types. those assorted equipment are used to procure the strategies to a couple of layout and function estimation difficulties coming up from of the main complicated real-world engineering initiatives: the distance go back and forth and the Hubble area Telescope satellite tv for pc.
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Extra info for Aerospace Engineering on the Back of an Envelope (Springer Praxis Books)
It turns out that if we assume a wall thickness of order of 1 cm, the tank mass for an aluminum cylinder will be 30,000 kg; which is pretty close to the value for the external tank of the Shuttle published by NASA. ) Sec. 4 Quick-Fire estimate of cargo mass delivered to orbit 25 Revising the structural mass input parameter With this new estimate of 30,000 kg (38% less structural mass than assumed in our Level-2 calculation) we are able to revise our second stage structural mass fraction, fs;2 , as follows fs;2 ms;2 30,000 % ¼ 0:05 or 5% ðmi;2 À mpayload;2 Þ ð700,000 À 103,200Þ We see that this revised structural mass fraction is approximately 5%, not 8% as originally assumed.
1 . Problem deﬁnition for the 747 thrust estimation problem Quickly estimate the jet engine thrust for a Boeing 747 using Back-of-the-Envelope techniques. Assume that the quantity of interest is takeoﬀ thrust. 2). The following is a detailed explanation of the assumptions and calculations I made. This explanation of the particular steps taken here uses typical BotE solution procedures as a guide. You might formulate a diﬀerent alternative solution path. No one path is deemed optimal. 2. My hand-drawn sketch and calculations, estimating the thrust of a Boeing 747 engine directly on the back of an envelope using BotE techniques.
We now deﬁne all of the relevant Shuttle system mass components and their interdependent relationships. In particular the initial takeoﬀ mass is given by mi ¼ mpropellant þ mstructure þ morbiter þ mcargo where mpropellant ¼ mp=solid þ mp=liquid and mstructure % mstructure=solid motors þ mstructure=external liquid fuel tank ð1:3Þ Sec. 4 Quick-Fire estimate of cargo mass delivered to orbit 19 We also deﬁne the payload mass, mp=l , to be the sum of the Orbiter mass and the cargo mass ð1:4Þ mpayload mp=l ¼ morbiter þ mcargo In some studies, the Orbiter mass is deﬁned as part of the overall structural mass.
Aerospace Engineering on the Back of an Envelope (Springer Praxis Books) by Irwin E. Alber