The problem of the curved bar subjected to an arbitrarily distributed loading on the sur-faces r=a and r=b is solved by using the method of complex functions and expanding the boundaryconditions at r=a and r=b into Fourier series.Then another paradox in the two-dimensional theoryof elasticity is discovered,i.e.,the classical solution becomes infinite when the curved bar is subjectedto a uniform loading or when the angle included between the two ends of the curved bar 2a is equal to2π and the curved bar is subjected to a sine or cosine loading.In this paper the paradox is resolved suc-cessfully and the solutions for the paradox are obtained.Moreover,the modified classical solutionwhich remains bounded as 2α approaches 2π is provided.
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