Circumferential load distribution factor

Due to manufacturing deviations, the flank pressure is not evenly distributed over all drivers/teeth (i.e.,over the circumference) and also not evenly distributed over the width, which is taken into account by k_φ and k_b.

The circumference factor k_φ describes the load distribution behavior of the connection over its circumference and depends on the tooth geometry. The load distribution over the circumference is influenced by backlash, deviations in pitch and tooth thickness, elastic yielding of the teeth under load and flank wear. Based on these characteristic values, the maximum occurring flank normal force F_max of a spline connection with geometrical deviations can be determined depending on the operating conditions specified in DIN 5466:2000 Part 1.

Table 1 shows the circumference factor k_φ acc. to Niemann., Winter., Hohn., Maschinenelemente 1, 2005.