Roof challenge
Roof Design
Objective:-
To design car roof with essentials like ditch area, front roof, bow roof, reinforcements central and rear roof rail.
To perform the calculations of the heat distortion and snow load criteria determine whether the bow roofs are at the correct position.
Find the moment of inertia and draft analysis for each part.
Automobile Roof
An automobile roof or car top is the portion of an automobile that sits above the passenger compartment, protecting the vehicle occupants from sun, wind, rain, and other external elements.
Roof Types
- Convertible roofs
- Hardtops
- Sunroofs
- T-tops
- Targa tops
- Vinyl roofs
Given Roof Reference:
Master Reference Image of Front Roof Rail Section

Master Reference Image of Rear roof rail Section

Designing of Roof with Parts
Front Roof Rail

Rear Roof Rail

Bow Roof 1

Bow Roof 2

Reinforcement Center

Roof Outer Panel

Draft analysis
In NX to check whether the sheet metal part we have designed can be deep drawn, there is an option called draft analysis. this type of analysis is performed based on colour ranges identifying zones on the analyzed elements where the deviation from the direction at any point, corresponds to specified values.





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
Judgement Condition : OK< 2.7> 3.1
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]
| Sr.No. | Case | Rx (mm) | Ry (mm) | R (mm) | L(mm) | t(mm) | l(mm) | W | W limit | Result |
| 1 | FB-BR1 | 5739.2066 | 2534.1423 | 3515.8595 | 1974.8537 | 0.75 | 352.3262 | 1.428966999 | OK<2.7 | Pass |
| 2 | BR1-RC | 6224.7185 | 4965.5244 | 5524.2753 | 1974.8537 | 0.75 | 385.7865 | 1.913629952 | OK<2.7 | Pass |
| 3 | RC-BR2 | 4021.4090 | 10317.568 | 5787.1857 | 1974.8537 | 0.75 | 421.4944 | 2.02626486 | OK<2.7 | Pass |
| 4 | BR2-RB | 3268.0272 | 14668.588 | 5345.1940 | 1974.8537 | 0.75 | 335.9170 | 1.810759374 | OK<2.7 | Pass |
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)
Judgement condition = Qr ≥ 3.1
250 ≤ s ≤ 380
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]
Width of the roof panel 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
Section of Inertia



| Sr.No. | Rx(mm) | Ry(mm) | Lx(mm) | Ly(mm) | My(mm2) | Y(mm) | alpha | L1(mm) | L2(mm) | S(mm) | t(mm) | ly(mm4) | Qr | Qrlimit | Result |
| 1 | 4536.8981 | 2591.4530 | 1113.3619 | 1943.1539 | 560490.2784 | 352.3262 | 0.6947 | 481.3839 | 467.0191 | 474.2015 | 0.75 | 106.2868 | 1.4286 | Qr≥3.1 | OK |
| 2 | 3765.7353 | 6134.3549 | 1077.7693 | 1943.1539 | 600811.3185 | 385.7865 | 0.6978 | 467.0191 | 503.1840 | 485.0165 | 0.75 | 4.1640 | 0.0282 | Qr≥3.1 | NG |
| 3 | 4254.3643 | 10808.7069 | 1113.3619 | 1943.1539 | 641370.958 | 421.4944 | 0.7950 | 502.36 | 491.2516 | 497.2178 | 0.75 | 134.9248 | 0.3384 | Qr≥3.1 | NG |
| 4 | 3986.5816 | 16508.2869 | 1113.3619 | 1943.1539 | 539898.1977 | 335.9170 | 0.6692 | 492.0748 | - | 245.6258 | 0.75 | 134.9248 | 0.4396 | Qr≥3.1 | NG |
Assembly Roof View





Conclusion:-
- Using the given reference styling part we have successfully designed Ditch area, Front Roof Rail, Bow Roof Rail, Reinforcement centre and Rear Roof Rail.
- And the calculation of heat distortion, snow load, draft analysis and section of inertia.
