Section Modulus calculation and optimization

REPORT.

Section Modulus calculation and optimization

INTRODUCTION:-

The objective of this report is to understand section modulus of the model and analyze its effect on BIW structures by optimizing it under different conditions.

Section properties are vital in structural analysis and design which is efficient to increase the load bearing capacity by optimzing the shape of the section.

SECTION MODULUS

Section Modulus is the ratio of the moment of inertia about neutral axis upon the extreme point of the section from the neutral axis.

S= I/y __________ (1)

S= Section Modulus

I = Moment of Interia

y= extreme point from neutral axis

The bending stress equation is defined as

σ = M y/I

where M is the Bending Moment

y is the distance between extreme point and neutral fiber

I is the Moment of Inertia

Thus the equation is simpilfied as

σ = M/S

It is the direct measure of strength in the beam, larger the section modulus greater the load bearing capacity and higher the resistance to bending.

CASE:-1

Figure 1.Section View of Hood

Figure 2.Section Interia Analysis Report

calculation:-

The Maximum and minimum moment of inertia obtained are

I_max = 4.79820164 x 10^*6 mm⁴

I_min = 1.45628 x 10^*4 mm⁴

y= 440mm

The Section modulus is calculated using (1)

S_max = 10.905 x 10^*3 mm³

S_min = 33.0973129 mm³

^CASE:-2

^{by offseting /increasing area by 0.5mm}

Figure 3.Section View of Hood

Figure 4.Section Interia Analysis Report

calculation:-

The Maximum and minimum moment of inertia obtained are

I_max = 5.802192726 x 10^*6 mm⁴

I_min = 1.782755753x 10^*4 mm⁴

y= 440mm

The Section modulus is calculated using (1)

S_max = 13.186 x 10^*3 mm³

S_min = 40.5171762mm³

Figure 5.hood dimension

CONCLUSION

Thus Section Modulus carried out on BIW Structures provide better undertanding of the Load bearing capcity , bending resitance and forces and stress exerted in the beam.