Thank U Prex and Vonlueke!
Let me clarify the point raised by Prex as to why the max stresses are coming at the fixed end.Let us not forget that the object of analysis is not a stariaght pipe but an elbow with straight pipes(of length 5D) attached at both of its ends.
Now when we apply a pure moment at one (say open)end of the elbow,because of the 90 degree bend angle,this pure moment becomes a pure torque (of magnitude equal to the moment applied ) at the other(i.e. the fixed) end.
And at the fixed end the stresses are higher even if only translational DOF are restrained and all rotational DOF are set free.It may be due to the OVALISATION that occurs in a pipe when it is subjected to a moment load.
I magine yourself holding an allen wrench and applying a torque to a nut.its other end fitted into the nut head is subjected to twisting moment and the max stress in the wrench occurs there only.
My aim is to claculate the limit moment of the elbow for OUT of plane moment.For that yielding should first start in the elbow portion and not in the straight pipe end.
Vonlueke's suggestion to use rigid elements or beam elements at the ends,presumably to increase the stiffness of the pipe at the ends,would be of no use here.That can not reduce the stress concentration occuring at the supported end.Also applying forces as he suggested would change the problem itself.
I have got one idea...to increase the yield stress of the elemnts close to the supprted end thus avoiding(or postponing)the yielding of the material at the supported end of the elbow.I got better results but they are still not 100%satisfactory.For your kind information ANSYS program has got into convergence difficulties after crossing some displacement limit,while analyising for limit out op plane moment.There was no such problem in the case of inplane moment.(well,in the case of inplane moment load,we need to model only 1/4th of the model due to double symmetry)
Further extension of this problem includes finding the limit out of plane moment when both out op plane moment and
CONSTANT INTERNAL PRESSURE are simultaneuosly acting.I am doing this analysis(using the trick mentioned above) but results are not satisfactory due to covergence problems.
Any suggestions are welcome with great gratitude!