For the curved beam with triangular cross section shown, determine
- (a) the centroidal radius of curvature
- (b) the neutral axis location
- (c) the maximun stress corresponding to the moment of 80 N-m
- (d) the stress variation
(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
Therefore, point A has the maximum stress.
(d) The stress variation is shown below.
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