Assignment1

# Assignment1 - Homework I 8/23/2010 Problem overview The...

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Homework I 8/23/2010 Problem overview The beam of a rectangular thin-walled section (i.e. t is very small) is designed to carry both bending moment M and torque T . The following series of questions is intended to illuminate the weight efficiency issues associated with wing- box structural design. 1. For small thickness t, the cross-sectional area A and moment of inertia I can be approximated as 2 2( ) , ( 3 ) 6 tb Aa b t I b a  . Check the percent error in A and I for a section (typical of some wing boxes), where b=0.08a, t=0.25b . Compare the error when a and b are measured to the middle of the thickness with the error when they are measured to the end, as in the figure above. Explain why (for the given ratios of b/a and t/b) the percent error does not depend on the value of a , so you can take for convenience a=50 , b=4, t=1 . Assume that these values are the ones measured to the mid-thickness, so that if the values are measured to the end, then a is measured as 51 and b is measured as 5 .

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## This note was uploaded on 06/06/2011 for the course EAS 4200C taught by Professor Kim during the Fall '09 term at University of Florida.

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Assignment1 - Homework I 8/23/2010 Problem overview The...

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