Challenge

Roof challenge

Objectives
  • Create a car roof model based on the styling surface master sections given for various parts with mastic points & rein forcements.
  • Determine whether the design is complying with heat distortion criteria through curvature study on the roof.
  • Check section modulus of front roof rail, rear roof rail ,bow roof rails and bow roof center.
  • Draft analysis of all parts for checking tooling feasibility.

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. Because the earliest automobiles were designed in an era of horse-drawn carriages, early automobile roofs used similar materials and designs.

Design Of Roof

  • Given master section for design of roof

Front roof rail

Bow roof rail

Reinforcement center

Rear roof rail

  • Roof

  • Front Roof Rail

Creation of front roof rail:

Used given master section and followed following steps to created front roof rail.

  • Bow roof-1

Creation of bow roof-1:

For creation followed master section and following steps

  • Center bow with reinforcement

creation of center bow with reinforcement:

We have master section for creation of center bow and reinforcement. followed master section and following steps.

Center reinforcement:

Center bow roof:

  • Rear roof rail

  • Roof Assembly

  • Sections Of all components

  • Draft analysis

Roof

Front roof rail

Bow roof-1

Center bow roof with reinforcemet

Bow roof-2

Rear roof rail

Calculations to determine position of bow roof

we have,

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]

Postion Rx Ry R R^2/t L t l w Status
Front roof-bow roof-1 3303.403 14540.338 5383.691 38645505.04 2027.095 0.75 302.285 1.874 OK
Bow roof-1-center bow roof 4008.709 10449.913 5794.513 44768507.87 2027.095 0.75 362.426 2.053 OK
Center bow roof-bow roof-2 4934.417 6349.555 5553.248 41118084.46 2027.095 0.75 360.749 1.984 OK
Bow roof-2-rear roof 5796.975 2524.365 3448.625 15857352.52 2027.095 0.75 404.92 1.565 OK
then,

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 reference point of the front and the rear.

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

Postion Iy(mm) t <(alpha) s (Rx+Ry/2)^2 Rx Ry Qr Status
Front roof-bow roof1 1.057*10^4 0.75 0.779 471.388 103528488.26 4028.20 16321.59 15.63 OK
Bow roof1-center bow roof 7.781*10^4 0.75 0.827 480.964 57656245.83 4265.38 10920.962 190.85 OK
Center bow roof-bow roof2 1.084*10^4 0.75 0.866 503.014 25168703.65 3772.30 6261.384 55.61 OK
Bow roof2-rear roof - 0.75 1.016 - 12801214.56 4645.06 2510.693 - -
  • Section modulus report

Bow roof-1

------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Product : Face...Fill.1...Bow 1
Date : Monday, 19 April 2021 18:07:38
Author : Skill_Lync
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Component | Sub-Component | Area[m2] | Gx[mm] | Gy[mm] | Gz[mm] | M1[m4] | M2[m4] | IoxG[m4] | IoyG[m4] | IxyG[m4] |
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Face...Fill.1...Bow 1 | | 0.000183922 | 1677.425 | 1427.602 | 0.142 | 1.05747e-08 | 1.93682e-07 | 1.057e-008 | 1.937e-007 | 1.31e-019 |
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

Center bow roof with reinforcement

--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Product : Face...Fill.1...Bow roof and reinforcement center
Date : Monday, 19 April 2021 18:17:41
Author : Skill_Lync
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Component | Sub-Component | Area[m2] | Gx[mm] | Gy[mm] | Gz[mm] | M1[m4] | M2[m4] | IoxG[m4] | IoyG[m4] | IxyG[m4] |
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Face...Fill.1...Bow roof and reinforcement center | | 0.001 | 2096.732 | 1429.302 | -0.122 | 7.78076e-08 | 5.20396e-07 | 7.781e-008 | 5.204e-007 | 5.418e-019 |
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

Bow roof-2

----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Product : Fill.1...Bow 2
Date : Monday, 19 April 2021 18:16:50
Author : Skill_Lync
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Component | Sub-Component | Area[m2] | Gx[mm] | Gy[mm] | Gz[mm] | M1[m4] | M2[m4] | IoxG[m4] | IoyG[m4] | IxyG[m4] |
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Fill.1...Bow 2 | | 0.00018608 | 2649.914 | 1427.680 | 5.72522e-05 | 1.08411e-08 | 2.01347e-07 | 1.084e-008 | 2.013e-007 | 4.17e-020 |
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

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