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1. The PSV reaction force, commonly provided by relief valve manufactures, is only applicable, as a horizontal force, when the outlet from the relief valve is completely open - no discharge vent pipe. As that is the point of discharge. Yes? Once a discharge pipe is added, the point of discharge is changed. Yes?

Yes, the earlier thread by mariog explains this.
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2. The value of your F1 is from the momentum at the elbow : F1 = M*V, in both the vertical and horizontal directions. Yes?


The vertical component does not cause much problem ( it doesn't cause bending moment) if you provide a hold down at PSV i/t, which is a general practice to avoid vibration problems.

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3. Why show a horizontal force F1 at the PSV body on the left side of the image?


Pl. refer, "Momentum Balance" on page 6-6 of the 7th Edition of Perry's Handbook and Example 1 on page 6-8.