Chapter 17, Problem 13P

A designer has to select a metal-belt drive to transmit a power of H_nom under circumstances where a service factor of K_s and a design factor of n_d are appropriate. The design goal becomes H_d = H_nomK_sn_d. Use Eq. (17-8) with negligible centrifugal force to show that the minimum belt width is given by

$b_{\min }=\frac{1}{a}\left(\frac{33000H_d}{V}\right)\frac{\exp f\theta }{\exp f\theta -1}$

where a is the constant from (F₁)_a = ab.