1) "Elements of Strength of Materials" by Timoshenko and MacCullough is an old but good reference. There are many books which could be found on the same subject. You can also check on some of these sites:
or use Mr. Google.
Values for Cr/A for various values of Fy came from Table 4-4 of "Handbook of Steel Construction" published by CISC. An Fy value of 240MPa is not listed, so I modified the value for 250MPa by straight ratio.
2) If the moment is in a direction which puts torsion or overturning on your beam, that will have to be checked.
3) I did not check the baseplates, but in a proper analysis, the plates must be checked. The bending moment in the baseplate depends on support conditions. It will be different for Type 'A' and Type 'B' details. Again, this is explained in the CISC handbook.
Weld resistance is listed in CISC Handbook. The tension on a pair of anchor bolts can be determined conservatively by dividing the moment by the distance between bolts. The capacity of anchor bolts depends on the yield value of the steel and the anchorage detail. Your detail for Type 'B' is a common but poor one. I saw quite a few of those pull out of the foundation in the tornado of 1987 in Edmonton. The bend at the bottom straightens out and the bolts pull out leaving perfectly cylindrical holes showing where the bolts had been prior to pulling out.
A better detail, in my opinion is to use straight anchor rods with nut on top and nut with standard washer or anchor plate on the bottom. The depth of embedment to resist pullout may be found in your concrete code.
4) Design verification would be the same for Type 'A' and Type 'B' from top of baseplate up. With the forces and moments you provided, the pipe selected will not suffice. A fillet weld size needs to be 1.5 times the thickness of pipe in order to fully develop the strength of pipe in tension.
Baseplate thickness, weld on underside of plate or anchor bolt sizes need to be checked.
Also, the capacity of the steel beam or foundation supporting the pipe must be capable of carrying the combination of loads and moment.
BA