A tall fractionating column that is 14 m long is made of a 3

A tall fractionating column that is 14 m long is made of a 304.2 mm ID standard steel pipe with weight of 74 kg/m and wall thickness of 9.5 mm. During operation, the column is internally pressuerized to 4.1 MA and has a wind load of 600 N/m as shown. What is the state of stress at point A, on the windward side of pipe? Show all calculations and place the stresses on an equilibrated element Determine if element is a planner state of stress and state reason

Solution

Determine stress as superposition of two factors: internal pressure + wind load

Due to internal pressure, the stress on the pipe approximates as a thin wall cylinder, there are given by Pr/t, Pr/2t

(see any SOM book)

Now add the loading due to a cantilver colum with uniform laod. Formula is easily availble, need to find the momnet at A. From this momnet, get bending shear stress = MC/I where C = radius of the surface element, I Moment of Inertia, M is the bending moment.

Add the two from internal stress and BM

Determine is element is in planar stress:this means stress acts only in one plane Since you have 3 d stress due to wind pressure out of the r-l plane of te wall of cylinder, it is not plane stress