Section Modulus calculation and optimization

SECTION MODULUS CALCULATION AND OPTIMIZATION OF HOOD

Section modulus is mathematical property of beams and solid structures which shows the informations about the strength and load carrying capacity. The value of section modulus gives the idea of how much load the solid can resist without deformation. When section modulus increases, the ability to resist the load increases.

Here we will be carrying the section modulus analysis of the previously made hood section. For that, we need to find out the moment of inertia of middle section of slid part.

Mathematical expression for section modulus:

Section modulus, S= I/y

when, I= moment of inertia of the section in mm^4

y= distance from nuetral axis to the extreme endpoint of section in mm

Analysis methodology:-

• From the 3d data, we only require the inner and outer panel to conduct this analysis.
• Use the intersection curve to make the section data, by intersecting the panels with a plane passing through the middle region. In my case, its zy plane.
• For this analysis, we require a closed contour section. For that, extract the outer lines of the intersection curves and join their endpoints as shown here.

• Conduct the section inertia analysis on this section, results:-

• We take MOI (min) as the data for calculating minimun section modulus.
• Measure the distance from the two extreme ends of the section for finding y.

Y= 486.13 mm

therefore, y= 241.56 mm

Improving section modulus:-

To improve the load carrying capacity, it needs further manipulations to the shape of section that results in increasing the area of the section.

I will offset the distance of inner panel section 0.5 mm outside and rejoin the curve segments.

Again Again conducting the section analysis:

Calculating the section modulus:

SECTION	I (max)- (in mm^4)	I (min)- (in mm^4)	y (mm)	S (max)-(in mm^3)	S (min)- (in mm^3)
1	8.1318 x 10^5	6.7329 x 10^3	241.56	3366.369	27.8725
2	8.1298 x 10^5	6.9571 x 10^3	241.56	3365.54	28.80

Result:-

Here, we can see that the section modulus is increased with increase in area of section. Section 2 have high capacity to wthstand load than section 1