Challenge

Section Modulus calculation and optimization

Section modulus is a geometric property for a given cross-section used in the design of beams or flexural members.

  • There are two type of section modulus
  1. .elastic section modulus

  2. Plastic section moduls
  • For general design, the elastic section modulus is used, applying up to the yield point for most metals and other common materials.
  • The elastic section modulus is defined as S = I / y,

I = is the second moment of area (or area moment of inertia, not to be confused with moment of inertia)

Y = is the distance from the neutral axis to any given fibre. It is often reported using y = c,

C = is the distance from the neutral axis to the most extreme fibre, as seen in the table below.

  • It is also often used to determine the yield moment (My) such that My = S × σy, where σy is the yield strength of the matirial
  • Higher the Section Modulus higher will be the Resistance to Bending.

Procedure: -

  • By using intersection command, we have found out the shape of inner and outer panel of hood.
  • After getting intersection curve we have to extract the outer most curve of both panel.
  • Connect them by using line
  • Convert the closed sketch to surface using fill command and measure the 2D inertia of section.

See the below the images and calculation taken from Catia model of for your reference.

at 9 difftrent place sectionis done for the outer part

at 9 diffrent places section modulus is done for inner panel

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