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Calculating BMD for a hollow pipe beam

I have tested steel pipe (as a beam) under lateral distributed loads. Longitudenal strain gages are on the top and bottom lines of the pipe. Could any one suggest to me how can I derive the bending moment distribution along the pipe. I have E, I , t (thickness, and r(radius) for the pipe.

 I have found a formula from litrature as follows : M = K.E.I

Where K = curvature = 0.5 * (ε_tension side - ε_compression side) / C (i.e the Half Section Depth, or pipe radius)

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