Roof Design
INTRODUCTION:
The roof of a car or other vehicle is the top part of it, which protects passengers or goods from the weather. The roof also protects the passenger from any injury when the car gets crashed or is rolled over or something heavy falls on the roof.

OBJECTIVE:
The mian objective of this project is to understand the design process to design the roof with all the roof rails and to understand the calculations behind it. We also get to learn about the different tools used in CATIA V5 for designing.
METHODOLOGY:
We get the model of the roof of the from the styling team. Then we will have to do all the engineering work. We create the ditch area for the roof and also the roof bows and roof rails for the roof which would we designed by us considering all the safety norms and regulations.

DESCRIPTION:
DESIGN CONSIDERATION-
- Visibility criteria
- Head clearance
- Curvature study
- Hear distortion and snow load criteria
- Draft analysis.
Components of roof-
1.Front Roof Rail-
The front roof rail is located on the front of the roof where the wind shield joins with the roof. The visibility criteria and the head room clearance of the passenger are taken into consideration for the bottom flange. One end of the rail is joined using spot welding while the other end is joined with the roof using mastic sealants for increased strength.

2.Bow roof 1-
Bow roof is an additional siffening member for the roof to increase the strength and so that it can satisfy the norms. Both the ends are joined together using mastic sealants to increase strenght and also since this would not affect the styling of the roof.

3.Centre Roof Rail-
Centre Roof rail or the reinforcement centre is located at the centre of the roof . The cross section of this is more since it needs to provide more strength to the roof. Here both are ends are joined together using mastic sealants.

4.Bow roof 2-
This bow roof also have the same purpose as that of the first one. This one is located between the centre bow roof and rear roof rail.

5.Rear Roof Rail-
- This roof rail joins with the back door and the roof. Inputs from the backdoor are taken into consideration for designing this roof rail.
- Here one end is joined using spot welding while the other end is joined using mastic sealants.

We then also make the ditch area around the roof.
Ditch area the extended portion of the main roof concealed by other BIW panels.
CALCULATION:

Bow–Roof Prediction Formula:
W = [1.73 x 10^(-3) x L] + [1.85 x 10^(-8) x (R^2)/t] + [ 1.10x10^(-3) x l] - 2.68
Where,
L = Roof Length in X-Direction[mm](Roof dimension in 0-Y)
R = Roof curvature
R = 2(Rx*Ry)/(Rx+Ry)
Rx = X curvature
Ry = Y curvature
t = Roof plate thickness [mm]
l = Bow Roof Span [mm]
Judgment Condition
OK< 2.7

Snow Load Prediction Formula:
Qr = [Iy x t2] / [α x s x [(Rx + Ry)/2]2 x 10-8]
Note: The Qr value given over here is correct. There was a typo error in the formula given in the video.
Where,
α = My x Lx2 x 10-12 , My = Y(Ly-Y)
t = Roof plate thickness [mm]
Ly = Distance between the front and rear roof Rails on the Vehicle along with 0Y[mm]
Length of Roof panel with the center point between Roof rail Front /Rear as the front and rear reference point.
Lx = Distance between the Left and Right end of the roof on the Roof BOW [mm]
The width of the roof panel is exposed on the surface.
Y = Distance front Front Roof Rail to Roof BOW[mm]
s = Distance for which Roof BOW bears divided load [mm]
s = L1/2 + L2/2
Iy = Geometrical moment of inertia of Roof BOW (Y cross-section )[mm4]
Rx = Lateral direction curvature radius of roof panel Y cross-section on Roof BOW [mm]
Roof panel curvature Radius of the Length Lx in Front view
Ry = Longitudinal Direction curvature radius of the Roof panel X cross-section on Roof BOW [mm]
Roof panel X curvature radius of length s in Side view
Judgment condition
Qr ≥ 3.1
250 ≤ s ≤ 380

CONCLUTION:
HEAT DISTORTION:
- SINCE ITCOMES UNDER JUDGEMENT CONDITION IS SAFE.
- DESIGN IS SAFE
- TO SUPPORT THE ROOF, BOW ROOF IS ENOUGH.
SNOW DISTORTION:
- THE CONDITION Qr>3.1 IS NOT SATISFIED.
- THE ROOF MAY FACE BEND DUE TO SNOW LOADING, SINCE ITS NOT SATISFIED.
- INCRESING THE EMBOSS DISTANCE, DUE TO CHANGEING THE SHAPE OF ROOF THE INERTIA VALUE WILL BE GREATER AND INCREASING THE THICKNESS OF THE BOW ROOF - THESE ARE THE WAYS TO SATISFY THE CONDITIONS.
- OR IN ORDER TO MAKE THE ROOF STRONG WE CAN ADD EMBOSS TO THE OUTER ROOF.