For the curved beam with triangular cross section shown, determine


(a) The radius of curvature is found as

(b) The neutral axis position relative to the center of curvature is found as

It should be noted that the NA is always located between the center of curvature and the centroid. The sign of moment doesn't matter.

(c) The maximum stress will be located at either point A or point B. Notice that the moment at the section of interest is positive as it tends to increase the curvature.

Therefore, point A has the maximum stress.

(d) The stress variation is shown below.

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