What is CORE OR KERNEL? CLICK HERE
It is the portion of a cross section of a structural member in which nature of stess is same as applied load on the cross section i.e. if applied load is tensile then stress will also be tensile and if it is compressive then stress on the core is also compressive.
Calculation of CORE OR KERNEL: CLICK HERE
A) For circular cross-section
CORE OR KERNEL of a circular cross-section is also circular concentric to the main cross-section.To calculate the area of the core first we have have to calculate the radius of core and it will be maximum eccentricity. CLICK HERE
maximum eccentricity, e = Z/A = d/8
where, d is diameter of the cross-section
Therefore, the area of core = π e ^2 = π d^2/64
Therefore, the area of core = π e ^2 = π d^2/64
Since here e is equal to d/8 therefore e is also called 1/4 th half of the cross-section.
B) For rectangular cross-section
CORE OR KERNEL of a rectangular cross-section is of rhombus shape.Since here Z for both xx and yy axis have different value therefore there will two different e value also.
For x-axis , e(x) = Z(xx)/A = b/6
For y-axis , e(y) = Z(yy)/A = d/6
Thus side of the rhombus , e = sqr root [ e(xx)^2 + e(yy)^2 ]
= 1/3 * [√(b/2)²+(d/2)²]
Therefore, e is called 1/3 rd half of the cross-section.
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