I want to use bicycle chain sprockets for a non-bicycle related project and I'm trying to figure out what is the maximum torque I can apply.
I did a quick calculation taking a real life example - I know for a fact an 80kg person can stand with his full weight on a pedal and the chain would not snap, so that amounts to:
T = l_p * F_p
T = 0.17 * 80 * 9.81
T = ~133 Nm
Where $T$ is torque at the axis, $l_p$ is length of the crank and $F_p$ is force due to weight.
A 44 tooth sprocket is 180mm in diameter, so the force on its teeth would be approximately:
F_t = T / l_s
F_t = 133 / 0.09
F_t = ~1477 N
Where $F_t$ is force at the teeth and $l_s$ is radius of the sprocket.
Looking at the packaging of my chain it claims that it can withstand up to 900kgf which is in the realm of 9kN. I have currently determined that the sprocket can hold up to 1.5kN but what is the approximate maximum before teeth start flying off?