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I'm having a bit of an issue with the deflection of a beam column. I've attached an image to show the problem. Please note the following:

- Assume the beams and column are both circular hollow sections of diameter 76.1mm. Wall thickness 5mm.

- The joint of the beam and column can be assumed as translating moment i.e. it is not pinned.

- F1 and F2 are applied separately, not simultaneously. The aim of the problem is to establish the horizontal deflection under F2, and the tip deflection under F1.

My initial attempt at solving this assumed that the horizontal deflection is basically tip deflection of a cantilever beam i.e. no contribution from the beam. And that the tip deflection at F1 is essentially tip deflection of a cantilever fixed where the joint between the 2 is. This is clearly wrong, as I haven't accounted for the possible movement of the joint i.e. it is not entirely fixed in reality.

Any help would be greatly appreciated, I can't seem to find anything relevant in my textbooks.

John

- Assume the beams and column are both circular hollow sections of diameter 76.1mm. Wall thickness 5mm.

- The joint of the beam and column can be assumed as translating moment i.e. it is not pinned.

- F1 and F2 are applied separately, not simultaneously. The aim of the problem is to establish the horizontal deflection under F2, and the tip deflection under F1.

My initial attempt at solving this assumed that the horizontal deflection is basically tip deflection of a cantilever beam i.e. no contribution from the beam. And that the tip deflection at F1 is essentially tip deflection of a cantilever fixed where the joint between the 2 is. This is clearly wrong, as I haven't accounted for the possible movement of the joint i.e. it is not entirely fixed in reality.

Any help would be greatly appreciated, I can't seem to find anything relevant in my textbooks.

John