Each finger presses with a normal force N, and catalog gripping force is the sum of the jaw forces, so F = 2N. Friction on each face can't exceed μN, so the most the fingers can resist along their faces is 2μN, or μF. That has to beat the load trying to pull the part out, which is its weight plus its inertia when the robot accelerates, times a safety factor.
Acceleration is the term people forget. A lift at 5 m/s² adds half again to the part's weight, and an emergency stop can be harsher than any programmed move, so use the worst case. If a move would pull the part straight out between the fingers, turn the grip so that direction runs into a finger instead.
The friction coefficient is where the uncertainty lives. SCHUNK's catalog workpiece weights assume μ = 0.1 and a safety factor of 2 at g, which is conservative for dry metal. Pads raise it and oil lowers it. If it matters, hang the part in the fingers, add weight until it slips, and back out μ.
Check a catalog rating with the same formula
You can sanity-check any vendor's rating this way. The SCHUNK PGN-plus-P 64-1-P lists 350 N of closing force and a recommended workpiece weight of 1.75 kg. Run 350 × 0.1 ÷ (2 × 9.81) and you get 1.78 kg, the static case with no acceleration. The Robotiq 2F-85 lists 235 N and a 5 kg friction-grip payload, which implies μ ÷ S of about 0.21. Different assumptions, neither wrong, so compare forces, not payload ratings.
# gripping force calculation, friction grip
part mass m = 1.2 kg
worst-case acceleration a = 5 m/s² lift, or a stop
load to resist m · (g + a) = 1.2 × 14.81 = 17.8 N
safety factor S = 2 → 35.5 N
μ = 0.1, dry metal fingers → 35.5 ÷ 0.1 = 355 N
μ = 0.3, urethane pads → 35.5 ÷ 0.3 = 118 N
# catalog check, PGN-plus-P 64-1-P
350 N × 0.1 ÷ (2 × 9.81) = 1.78 kg listed 1.75 kg
The 1.2 kg part, the 5 m/s² and the urethane coefficient are illustrative. Measure μ on your parts and fingers, and take a from the robot program's fastest move or its stop distance.