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john37:
First, you need a definition of a shunt trip breaker, and how it works.
Consider this definition from:
http://www.iccsafe.org/ubb/Forum11/HTML/000741.html
What does this definition tell you? It says there is a conventional breaker with the addition of an auxiliary electromechanical trip coil that will force the breaker to the fully off position when momentarily energized.
You will have to determine for your breaker if the two trip coil wires are isolated and brought out to their own terminals (or wire pair). If two isolated terminals, then you need to supply external power. Also you have to determine if AC will work.
To the logic part of the problem. If you are working with the assumption of positive logic, and you want any one or more inputs to produce a true output, then you would use normally open push to close with spring return pushbuttons connected in parallel. This wiring of the switches produces a positive logic inclusive OR circuit. Between the two terminals of the paralleled buttons the circuit is open if no buttons are pushed. Pushing any one or more buttons causes a closed circuit that is maintained while at least button is pushed.
Put this parallel combination in series with the hot line to the trip coil and supply neutral (opposite side of the power source) to the other side of the coil.
Latch your breaker. All pushbuttons are open. No power to the unlatch coil and the breaker remains latched. As soon as any one or more of the buttons are pressed the breaker is tripped as if you had manually turned the breaker off. The breaker remains off until manually relatched.
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