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Curved Steel Beam Design

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A simplified approach to curved beam design is presented in "Theory and Design of Bridges," (Xanthakos, John Wiley and Sons: 1988); this may be applicable to your project if your total angle is not too great (for a total angle of 45 degrees the calculated end reactions are within 5% of being statically balanced with the load).  The method Xanthakos outlines is to convert the moment diagram for an equivalent straight beam (whose length equals the curved beam arc length) into an applied distributed torsional load T=M/R, where R is the radius.

Note: the risers may be used to convert the torsion into vertical loads on the stringers.

I hope this helps.

Rafael Sabelli
DASSE Design