EAS4200C Aerospace Structures Homework #4 (Due: Oct. 2nd) 1. Show that there is no warping in the bar of circular cross-section Hint: First, calculate the constant C in 2222( , )1xyx yCaaφ⎛⎞⎟⎜⎟⎜=+−⎟⎜⎟⎟⎜⎝⎠from the compatibility equation. Second, calculate shear strains γxzand γyzfrom shear stresses τxzand τyz. Third, integrate w(x,y)from the definition of shear strains: ,xzyzwuwvxzyzγγ∂∂∂∂=+=+∂∂∂∂. 2. Consider a straight bar of a uniform elliptical cross-section. The semimajor and semiminor axes are aand b, respectively. (a) Show that the stress function of the following form:
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