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Stress Analysis in Curved Beams(Moment Applied Normal to Plane of Curvature)

If the initial Curvature of the member is small, i.e. the radius of curvature is large compared to

the depth of the cross section; a good approximation can be obtained for distribution of stressesby assuming the member to be straight.

However, when the radius of curvature and the dimensions of the cross section of the member

are of the same order of magnitude, we must use a different method of analysis, which was first

introduced by E. Winkler.

Consider the curved member of uniform cross section with center C.

Due to applied moments M and M in the plane of symmetry C will move to C

' '

' '

' '

A C AC

A B AB

F G FG

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