Fender Design - Wheel Arch Challenge
INTRODUCTION:
wheel arc calculation is necessary for the fender design to pass the local regulation which are based on the local road condations.
wheel arch is a semi - circular area in fender , which house the wheel well. it should have a sufficient clearance between tyre and wheel arch. so that it doesnt touch the wheel arch area during suspension . the clearance value differ from region to region ,here are few regulations.
japan regulation standard:
The clearance value will be more tha degree at foward and 50 degree at backward from the central vertical line.

FIGURE1 JAPAN STANDARD:
EUROPEN REGULATION STANDARD:
The clearance value will be more than 10mm at 30 degree at forward and 50 degree at backwrd and line 150mm above X-axis and mid point betwwen 50 degree and line above 150mm

FIGURE2 EUROPEN STANDAR:
US REGULATION STANDARD:
make clearance check details on all position from -10to180 degrees. all value must be greater than 5mm .the clearance valve will more than 50mm degree backward from centeral vertical axis.

FIGURE 3 US STANDARD:
WHEEL ARC CALCULATION
this is carried out for pedestrain safety of the car , here by using the europen regulation requriemnets to define the design given for calculation
as requried to plot the coordinates.

FIGURE 4 PLOOTING THE CHECKING POINT ON PLACE.
in figur 4 the foloowing coordinates SB,SC,SD and SEare plotted using the angles and dimensions according to the requirement standard.
next the points are checked if they provide a gap of 10mm from the outer most part of fender to the outer most part of the tier , if they if it is more than 10mm it meets the safety requriment if it is below 10mm it doesnt meet the stadard .

FIGURE 5 LAW EXTENSION OF 10MM TOWRADS THE FENDER.
in figure 5 you can see the law extension of 10mm towards the fender is done , we can see that SA,B, have a clearance more than 10 mm whereas remarking check points doesnt meet the standard .
the above figures shows the following resons
. SB plots satisfies the 10mm distance.
. SA plot satisfies the 10mm distance.
. SC plot doesnt satisfy , they is 3mm clearance which doesnt go with the standard.
. SEplot doesnt satisfy , ther is -3.4mm clearance which doesnt go with the standard.
CONCLUSION:
hence we can declare that the following fender wouldnt pass the standards the styling team must redesign the fender.