Problem set 3 -week 3 challenge

The following table delineates the given conditions from which the required parameters are calculated.

Utilizing the above expressions, the respective formulae (found on the tabulation below) were used to obtain the parameters required in the question.

It was found that the desired anti-roll bar stiffness (F_arb) was lower in value than the one that was obtained mathematically (K_arb).

In order to circumvent this issue, the ID of the anti-roll bar was increased( from 0.393 to 0.58in) to get it to equal or be greater than the desired stiffness(F_arb=1412.15ft-lbs/deg).

The value of stiffness obtained as a result of the increase in inner diameter was found to be 1416.86ft-lbs/deg.

In conclusion, it is vital to infer that by increasing the diameter of a hollow shaft, the stiffness of the anti-roll bar increases.

https://docs.google.com/spreadsheets/d/1HoJ_-UP2XSVDEnTnWc-tmySf66b09NfX/edit#gid=371264565