Challenge

Roof Design

OBJECTIVE:-

  • For the Given Roof styling, create an ASSEMBLY by developing the essential flanges for the outer roof and creating the reinforcements.

  • Provide appropriate dimensions and check for Draft analysis.
  • Do a curvature study on the roof and perform calculations to determine the position of the Bow-roofs.

CAR 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 is the structure above the wind shield glass having the reinforcement proving the strength to the overall structure and to with stand the over head forces like snow and other load.

REINFORCEMENT:-

The roof is approximatly flat it is very weak and cannot able to with stand the forces like snow and other load , so in order to increase the strength of the roof these reinforcements like front roof rail, central roof rail, rear roof rail and the bow roofs are introduced and joined to the flat surface of the roof with the different joining process.

DESIGN CONSIDERATIONS :

  • Visibility criteria
  • Head clearance
  • Curvature study
  • Heat distortion and snow load criteria
  • Draft analysis

HEAT DISTORTION STUDY

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

CASE L RX RY R l T W Result
FRR-BR1 2034.876 5738.305 3479.47 4332.121385 326.94 0.75 1.662895614 PASS
BR1-CRR 2034.876 5033.217 5590.492 5297.238351 482.682 0.75 2.063450456 PASS
CRR-BR2 2034.876 3937.649 17415.069 6423.016408 482.341 0.75 2.388537361 PASS
BR2-RRR 2034.876 4286.117 12181.704 6341.119278 302.826 0.75 2.165285658 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)

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

CASE RX RY LX Y IY S alpha T My ly L Qr Result
FRR-BR1 2740.019 2030.399 1145.988 423.158 27800 568.281 0.8581304378 0.75 653421.1183 1967.312 326.94 563.6350618 Pass
BR1-CRR 3755.853 3118.854 1093.683 979.96 23300 723.8525 1.15734618 0.75 967565.4659 1967.312 482.682 132.4087518 Pass
CRR-BR2 4292.263 4202.086 1060.007 1539.779 23300 633.754 0.7396827675 0.75 658306.3352 1967.312 482.341 154.9929783 Pass
BR2-RRR 3951.941 4782.797 1046.255 1967.312 0.75 1967.312 302.826 Pass

DRAFT ANALYSIS:

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