FIGURE 2 Quantities and geometry used in the derivation of the band-brake design relations.

Substitution for pwr from equation (1-4) into equation (1-3) yields an expression that may be integrated to give

(1-5)

where θ is taken to be zero at the end of the band where F2 acts. It is usually more convenient to write this relation in the form

(1-6)

which expresses the tangential force in the band brake as a function of position along the brake.