The shape factors of a triangle section and a diamond section are

The shape factors of a triangle section and a diamond section are
| The shape factors of a triangle section and a diamond section are respectively 

A. 2.343 and 2.0

B. 2.0 and 2.343

C. 1.343 and 2.0

D. 2.0 and 1.343

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Right Answer is: A

SOLUTION

Concept:

Shape factor: For a ductile material like structural steel, member reaching yield at the extreme fibres retains a reserve of strength that varies with the shape factor. Shape factor is defined as the ratio of the plastic moment and the yield moment of the section. It is a function of the cross-section form or shape and is represented by S.

\(S = \frac{{{M_p}}}{{{M_y}}} = \frac{{{f_y}{Z_p}}}{{{f_y}{Z_e}}} = \frac{{{Z_P}}}{{{Z_e}}}\)

Where, Ze= Elastic moduli and Zp= Plastic moduli