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# Yielding

Module by: Michael Terk. E-mail the author

Summary: (Blank Abstract)

## Introduction to Yielding

The first limiting state to check in a beam is that of yielding. The yielding equations take in to account the stress on a member and the bending moment.

## Equations to determine yielding

### The flexural design strength as determined by the yielding limiting state is:

φ b M n φ b M n
(1)

where:

φ b =0.90 φ b 0.90
(2)
M n = M p M n M p
(3)

### the plastic moment corresponds to:

M p = F y Z1.5 M y M p F y Z 1.5 M y
(4)

where, the moment corresponding to onset of yielding at the extreme fiber from an elastic stress distribution is:

M y = F y S M y F y S
(5)

#### note:

ZZ and SS are given in Part 1 of the Manual for each member.

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