Torsional Constant and Polar moment of Inertia

Polar Moment of inertia (Ix) in Staad is computed by the St. venant principle Ix = (beta)*b*t^3  where,  "b" is width and "t" depth and "beta" is the variable coefficient depends on the "b/t". As "b/t" approaches infinity, the "beta" becomes 0.333. So, for the I shaped section, the total Ix is determined by the summation of individual Ix of every elements (web, flange).

For circular section, the Ix is (Iy+Iz).

Polar Moment of inertia (Ix) in Staad is computed by the St. venant principle Ix = (beta)*b*t^3  where,  "b" is width and "t" depth and "beta" is the variable coefficient depends on the "b/t". As "b/t" approaches infinity, the "beta" becomes 0.333. So, for the I shaped section, the total Ix is determined by the summation of individual Ix of every elements (web, flange).

For circular section, the Ix is (Iy+Iz).

Do you have a table for the calculation of beta for various cross-sections? Thanks.