Limit of eccentricity for hollow rectangular section
>>Along breath
}{B/2}=\frac{DB^{3}-db^3}{12}\times\frac{2}{B}=\frac{DB^{3}-db^3}{6 \cdot B})
Now, for no tension condition;
})
This eccentricity when load ‘P’ on right side of Y-axis. Similarly eccentricity on left side of Y-axis
})
Therefore total width of eccentricity at middle portion of section
})
})
Total width of eccentricity at middle portion of section
})
For rectangular hollow section width of Kernel Section is as shown in fig.6.b.
Let consider a column
is subjected to compressive load ‘P’ having hollow cross section with external dimensions
‘B x D’ and internal ‘b x d’ as shown in fig. 6.a.
Let,
σ0= Direct stress;
σb = Bending stress;
P = Applied load (compressive or tensile);
A = Cross-sectional area
A= (B x D) - (b x d);
A= (B x D) - (b x d);
M = Bending Moment acting on column
M= P.eyy;
M= P.eyy;
eyy = Eccentricity w.r.t. Y-axis;
Iyy = Moment of inertia of column section along Y-axis
ymax = Max. centroidal distance;
ymax = Max. centroidal distance;
Now, for no tension condition;
This eccentricity when load ‘P’ on right side of Y-axis. Similarly eccentricity on left side of Y-axis
Therefore total width of eccentricity at middle portion of section
>>Along thickness
As
eccentricity calculates in breath same way we can find eccentricity along
thickness. It becomes Total width of eccentricity at middle portion of section
For rectangular hollow section width of Kernel Section is as shown in fig.6.b.
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