circle square hole 45 SS M D 01

Problem Statement:
Member AB spans two supports that are a = 3.7 m apart. It is subjected to a distributed load of w = 520 N/m and a concentrated moment of M = 560 N*m as shown. The member will have a square 27 mm$\times$27 mm hole in its cross-section, oriented at a 45 degree angle as shown. If the material that composes the member must not be stressed above 190 MPa, find the minimum allowable outer diameter of the member, b. (Neglect the shearing stresses in the member.)

Reactions:
$R_A$ =
$R_B$ =

Maximum Bending Moment:
$M_{max}$ =

Minimum Required Diameter:
$b$ =
be sure to include units with your answers