Challenge

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.
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