A bicycle chain consists of a series of small links, each 12 mm long between the centers of the pins (see figure). You might wish to examine a bicycle chain and observe its construction. Note particularly the pins, which we will assume to have a diameter of 2.5 mm.
In order to solve this problem, you must now make two measurements on a bicycle (see figure): (1) the length L of the crank arm from main axle to pedal axle, and (2) the radius R of the sprocket (the toothed wheel, sometimes called the chainring).
(a) Using your measured dimensions, calculate the tensile force T in the chain due to a force F = 800 N applied to one of the pedals.
(b) Calculate the average shear stress Ï„aver in the pins.

Transcribed Image Text:

Pin Links 12 mm 2.5 mm Sprocket Chain