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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.
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 boundary conditions of r = a and r = b into Fourier series. another paradox in the two-dimensional theory of elasticity is discovered, ie, the classical solution becomes infinite when the curved bar is subjected to a uniform loading or when the angle is included between the two ends of the curved bar 2a is equal to 2π and the curved bar is受到 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.