HW Problem $2\mathrm{.}2$

Derive the equations below for AFA and

SFA

$A_{FA}=(\frac{r-c}{d}+1)F_F$

$S_{FA}=(\frac{r-c}{d})F_F$

Fore$-$aft tire patch load, $F_F,$ predominantly

where:

through lower control arm ball joint, $A_{FA}$

$A_{FA}=$ Fore$-$aft lower control arm load at ball joint

$S_{FA}=$ Fore$-$aft load at the strut attachment

$r,c,d=$ Dimensions shown in Figure

$F_F=$ Fore$-$aft load at the tire patch

Fundamentals of Automobile Body Structure Design

by Donald E$.$ Malen, SAE International, $2011$