An elastic theory for the torsional strength of rectangular reinforced concrete beams

The theories of Rausch and Andersen for the design of torsional shear reinforcement are examined and a more accurate formula is derived, using the strain energy principle. This formula, like that of Rausch, is based on the customary assumptions of the elastic working stress theory. The compound hyperbolic series resulting from the integration of the square of St. Venant's rectangular torsion function is evaluated and reduced to a single constant. This constant is intermediate between those obtained from the approximate theories of Rausch and Andersen.