Circularly Curved Beams Transverely Loaded
Panayiotis J. Spyropoulos
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Presents a general solution for the problem of horizontal circular beams loaded vertically with a concentrated load. A table provides values for bending moment, torsional moment, and shearing force at midspan for po-sitions of the load at 15-deg intervals, curves with 30, 45, 60, 75, and 90 deg half-angles, and ratios of cross section dimensions of 1,1.5, 9, 25 3, and 4. By linear interpretation, any circular beam with angles of 60 to 180 deg and any concentrated or distributed, asymmetrical loading can be solved. A table showing the values for bending and torsional moment at midpoint for uniformly distributed loads is presented.