The Shape Factor For A Rectangular Section Is

By Aina Parasher|Updated : July 15th, 2022

The shape factor for a rectangular section is:

  1. 2.0
  2. 1.5
  3. 1.34
  4. 1.8

Answer: B. 1.5

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=MP/My=ZPfy/Zefy=ZP/Ze 

Where ZP and Ze 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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