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Consider a rectangular column cross section of size 4 m × 2 m. Identify the correct statement.
Question

Consider a rectangular column cross section of size 4 m × 2 m. Identify the correct statement.

A.

The core of the section is a square of size 0.6 m.

B.

The limit of eccentricity for axial compressive load is 1 m measured from the C.G of the cross section for not to have tensile stresses in the section.

C.

The point load shall be applied within the rhombus located at centre with diagonals size 1.33mx0.66m to ensure no tensile stresses developed in column cross section

D.

The point load shall be applied within the 1.5 m from the centre to avoid tension in the cross
section.

Correct option is C

Given, Rectangular cross-section
B = 4 m , D = 2 m
MIDDLE THIRD RULE FOR RECTANGULAR SECTIONS
[i.e., KERNEL OF SECTION]
Size of rhombus- Central core of a rectangular cross-section is a rhombus with b/3 and h/3 diagonals
Size of rhombus
B = 4/3= 1.33
D = 2/3 = 0.66
So, The point load shall be applied within the rhombus located at centre with diagonals size 1.33 mx0.66m to ensure no tensile stresses developed in column cross section Value of e for no tensile stress along width

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