Calculate Vertical, Radial & Horizontal Forces for Lifting Lug Design

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Dear Experts,

I have vessel with lifting lug attached to the shell.
Vessel weight = 1681.84 N

How to calculate:-
1) vertical force
2) nominal radial force
3) horizontal force
 
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Welcome to PF.

You need to draw a free body diagram and use trigonometry.
The details depend on the geometry of the situation - where the lugs are fitted, how many are being used, how the cables (or whatever) are attached etc.
 
If building vessels for the US, you'll also need to comply with ASME BTH-1, "Design of Below-the-Hook Lifting Devices".