Thanks; here, you have overlooked the point that the gusset is inside skirt and welded to the bottom head and bottom pipe after elbow - attaining same temperature of pipe and equipment in steady state.
In that case as stated above, there is no strain - only thermal expansion of gusset plate - no secondary load coming due to thermal expansion as there exists no thermal stain.
In your formulation, linear strain gets multiplied with shear modulus - not fair! - sorry, we were using this term frequently till this era of interesting time when people object to it. In your subsequent post, you have rectified it with Young's Modulus, which is right.
As gusset is a plate having length and width of similar order with thickness small enough, it can't be considered in simplified manner in Caesar-II, asit looks to me. I consider an equivalent pipe of same area and the higher side moment of inertia of the plate section - 1/12 tb^3, to be on safer side. But, without cirulation of air inside skirt and conduction through weld, I do not find any reason of different steady state temperature in gusset plate than the pipe or column bottom.
Thus, for me through the above justification, the concern for the gusset plate in undermining the pressure integrity of system does not look to be sound enough! If anyone looks worried about gusset temperature, let him/her put the gusset within insulation of pipe and bottom head of column envelope!
Edited by sam (08/23/17 12:00 AM)
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