Section Modulus calculation and optimization

AIM: To calculate the section modulus using the section from Hood design and come up with a new section that has improved the section modulus of the previous section.

SECTION MODULAS:

• Section Modulus is the geometric property of the given cross-section of any shaft or beam structures
• It is the direct measure of the strength of the shaft section or the beam section
• Higher the section modulus of a structure, the more the resistive it becomes to bending
• It is the ratio of total moment resisted by the section to the stress in the extreme fibre
• It gives us an idea about how much of load the given structure can take

Section Modulas can be calculated by the formula:

S = I/y

Where, S = Section Modulus

            I = Moment of Inertia

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

CALCULATIONS:

I_max = 8.2140×10⁵ mm⁴

I_min = 6.5861×10³ mm⁴

y = 484.1147/2

   = 242.05 mm

S = I/y

   = 6.5861×10³/242.05

S = 27.2096 mm³

OPTIMIZATION:

The Hood inner panel curve is offset by 0.5mm outwards and section inertia analysis is done again in a similar way

 

I_max = 8.1966×10⁵ mm⁴

I_min = 6.8098×10³ mm⁴

y = 484.1147/2

   = 242.05 mm

S = I/y

   = 6.8098×10³/242.05

S = 28.1338 mm³ 

CONCLUSION:

• It was observed that the value of Section Modulus (S) obtained in case 1 was S = 27.2096 mm³ and the value of Section Modulus (S) obtained in case 2 was S = 28.1338 mm³  i.e. the Section Modulas vaue obtained in case 2 was greater
• When the Hood inner panel curve is offset by 0.5mm outwards the cross section value of the section increases which in turn increases the strength of the section
• It can be concluded that when the cross-section increaes the Section Modulas also increases which in turn improves the strength i.e. higher the section modulus of a structure, higher is he strength and the more resistive it becomes to bending