REZA59,
Can you pl. eleborate on what you mean by the following statements"As system expand upward in operation it is mandatory to put this +y support as close as possible to nozzle to decrease expand load imposed on it" and "as you know the higher level of tower has thinner thickness then lower parts".The second statement is indeed the case for tanks,but for towers?
The first support should be a resting one ( and as close as possible to nozzle)to take care of the dead wt. load on the nozzle and it is irrespective of whether the line is operating or not. In fact in operating condition, because of differential movement b/w pipe and vessel , you may need to use a spring as the first support instead of a rigid one.To take care of the moment that is generated due to differential movement b/w pipe and tower, you may also have to put additional flexibility b/w nozzle and the riser in terms of added pipe lengths.
Regards
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anindya