In Plastic Analysis the Shape Factor for Rectangular Section is

By Aina Parasher|Updated : July 26th, 2022

In plastic analysis the shape factor for rectangular section is-

  1. 1.15
  2. 1.5
  3. 2
  4. 2.17

Answer: B. 1.5

In plastic analysis the shape factor for rectangular section is 1.5.

Solution

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. More shape factor means more reserve strength beyond the yield point to reach the plastic stage.

Shape Factor (S) = Plastic Moment(Mp)/Yield Moment(Me) Fy.Zp/Fy.Ze = Zp/Ze

Where, 

           Zp =  Plastic Section Modulus

           Ze =  Elastic Section Modulus

           Fy  =  Yield Stress

Types of cross section

Shape factor

Rectangular (or)  Square

1.5

Triangular

2.34

Solid Circular

1.7

I section

1.12

Diamond

2

Hexagon 

1.6

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