Handbook of Civil Engineering Calculations

(c) Bending-moment diagram

FIGURE 1

3. Calculate the radius of gyration
   Calculate the radius of gyration with respect to the y axis of a T section comprising the
   compression flange and one-sixth the web, neglecting the area of the fillets. Referring to
   Fig. 2, we see 4= 8.215(0.522) = 4.29 in^2 (27.679 cm^2 ); (1/6)4, = (1/6)(19.76)(0.375) =
   1.24; AT = 5.53 in^2 (35.680 cm^2 ); IT = 0.5/y of the section = 22.0 in^4 (915.70 cm^4 )-
   r = (22.0/5.53)°^5 = 1.99 in (50.546 mm).

(b) Shear diagram

(a) Force diagram