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exam2-solution-2010 - Name EAS4200C Aircraft Structures I...

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10-28-10 Name: EAS4200C Aircraft Structures I 2 nd IN-TERM EXAM You may use only one 8.5x11” formula page and no calculators. Note that you must give the equations that you use (with letters) before you substitute numbers into them . Please sign a pledge that you have not violated any of the university honesty provisions with regards to this exam. _____________________ 1. (40%) The cross section below is a square of size h with four stringer areas as shown. It is acted on by a moment M y of absolute magnitude M that compresses the top stringers and a moment M z of absolute magnitude 2M that compresses the left stringers. a. Define the signs of the moments. The equation for the stresses is y z xx y z M M z y I I . Since M y causes negative stresses for positive z it is negative, and since M z causes negative stresses for negative y’s it is positive. b. The centroid is at a distance h/3 from the right flange, and the moments of inertia are I y =1.5Ah 2 , I z =(4/3)Ah 2 . Find the equation of the neutral axis and draw it on the figure.
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