Challenge

Section Modulus calculation and optimization

SKILL LYNE

SECTION MODULUS

 

Swaroop T

4/3/2022

Section modulus & yield moment calculation

Section modulus is a geometric property for a given cross-section used in the design of beams or flexural members. For general design, the elastic section modulus is used, applying up to the yield point for most metals and other common materials. The yield  moment  of a cross  section  is defined  as  the moment that will just produce the yield stress in the outer most fibre of the section.

Section modulus, S = I/y

Where,

S - Section modulus

I - Area moment of inertia

y - Distance between neutral axis and extreme end of the fibre

Therefore, I = 5.0795 × 10^6 mm^4

y = 447.3949mm

So, Section modulus, S = 5.0795 x 10^6 mm^4 / 447.3949 mm

= 11353.504^3

 

 

 

Yield moment, My = S × σy where,

σy - Yield strength of material - Stainless steel AISI 302 - cold - rolled σy = 520 N/mm^2

So, yield moment, My = 11353.504 × 520

= 5903822.08 N mm

(Note: 302 stainless steel is an Austenitic, non-magnetic, extremely tough and ductile stainless steel alloy. AISI 302 annealed stainless steel is highly corrosion resistant and maintains its strength at high temperatures up to 550°F (288°C). Additionally, 302 stainless steel is non-magnetic in the annealed condition and cannot be further hardened by heat treatment. As an added benefit both the hardness and tensile strength of AISI 302 can be increased by cold working)

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