Section Modulus calculation and optimization

SECTION MODULUS CALCULATION AND OPTIMIZATION

Aim:

To Calculate the section modulus using Hood Design cross-section and Optimization the section modulus in NX CAD.

Introduction:

• Section Modulus is the geometric property of any cross-section of modulus.
• It is the ratio of moment of inertia about the section axis to the distance of the outer layer from the axis.
• Its Measure the strength of Beam bending.

There are two types of section modulus.

1. Elastic Section Modulus
2. Plastic Section Modulus

1. Elastic Section Modulus:

Use the Section modulus the formula S = I/y

S = Section Modulus

I = Moment of Inertia of the section about the bending axis

y = distance between the neutral axis and the extreme end of the object

2. Plastic Section Modulus:

• Plastic Section Modulus is used material where acceptable limit to bend or extended
• The same section, the plastic and elastic modulus are different section modulus.
• The difference in their values indicates the reserve in strength that a section made from sufficiently ductile material possesses.

Calculate the section modulus:

using the formula S = I/y for Section Modulus,

Section Modulus Case-1:

Cross-Section of the Hood Design View,

Section of modulus the Value of Moment of Inertia,

MOI (Max) : 1.37819e+07[mm^4]

MOI (Min) : 4.07279e+04[mm^4]

Y (Distance): 879.5446mm/2=439.7723mm

Principal Directions:

Section Length : 1.00450e+04mm

Section Area : 200.59782[mm^2]

Calculation :

Use the Section modulus the formula S = I/y

I max : 137819/439.7723=313.38717

I min : 407279/439.7723=926.11335

Section Modulus Case-2:

MOI (Max) : 4.76189e+06[mm^4]

MOI (Min) : 1.36244e+04[mm^4]

Y (Distance): 879.5446mm/2=439.7723mm

Principal Directions:

Section Length : 3.62705e+03mm

Section Area : 72.54107[mm^2]

Calculation :

Use the Section modulus the formula S = I/y

I max : 476189/439.7723=1082.80808 mm^3

I min : 136244/439.7723=309.80577 mm^3

Section Modulus Case-3:

MOI (Max) : 4.81058e+06[mm^4]

MOI (Min) : 1.49500e+04[mm^4]

Y (Distance): 879.5446mm/2=439.7723mm

Principal Directions:

Section Length : 3.63961e+03mm

Section Area : 72.79253[mm^2]

Calculation :

Use the Section modulus the formula S = I/y

I max : 481058/439.7723=1093.87971 mm^3

I min : 149500/439.7723=339.94865 mm^3

Conclusion :

Hence the Calculated the section modulus using Hood Design cross-section and Optimization the section modulus in NX CAD.