1. Pressure to be contained.
2. Diameter of main pipe.
3. Wall thickness of main pipe.
4. Diameter of branch pipe.
5. Wall thickness of branch pipe.
6. How far the branch can extend inward past the i.d. of the main.
7. Thickness of pad material.
8. O.d. of pad material.
9. Cross-sectional areas of welds.
10. Tensile strengths of all materials involved.
11. Compatibility of p-groups of all materials involved.
12. Anything else I forgot.
The limited graphics on this computer don't allow me to show a drawing, but you may be able to find one on line. Best of luck!
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In vino veritas; in cervisia carmen; in aqua E. coli.
Cutting the hole in the main pipe removes an amount of cross-sectional area, which must be replaced by the nozzle and the reinforcement. Calculation determines the cross-sectional area required by the reinforcement pad. You can choose any combination of diameter and thickness that gives enough area, within these limitations: 1) the o.d. of the pad cannot exceed twice the o.d. of the nozzle, and 2) the thickness of reinforcing material cannot exceed 2.5 times the main pipe thickness (extending each of inside and outside from the main pipe wall). [That is my recollection from the ASME pressure vessel code. Your local code or piping code may differ, and the ASME code may have been revised since I last used it. These comments are meant to give the general idea.]
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In vino veritas; in cervisia carmen; in aqua E. coli.