The Shape Factor For A Rectangular Section Is

The shape factor for a rectangular section is 1.5.

Solution

Shape factor is defined as the ratio of plastic moment capacity to its yield moment capacity.

Shape factor=Plastic moment capacity/Yield moment capacity

Shape factor represents the strength of a section after its yielding.

SF=M_P/M_y=Z_Pf_y/Z_ef_y=Z_P/Z_e 

Where Z_P and Z_e are the plastic section modulus and elastic section modulus of the section respectively.

Value of shape factor for the different sections:

Section	Shape factor
Triangular Section	2.34
Rectangular Section	1.5
Solid circular section	1.7
Thin hollow tube	1.27

Note: More value of shape factor represents that section can withstand more stresses after its yielding.  Hence, the shape factor for a rectangular section is 1.5.

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