Advanced Methods of Structural Analysis

434 12 Plastic Behavior of Structures

l/2 l/2 l/2 l/2

PP

A l B

M 1

b

a

PPM 1

PPM 1

AB

c

d

l/2 l/2 l/2 l/2

PP

M 1

e

MP

Pl 4

g

M 1

My

f

Pl 4 My

Pl 4 −My 2

h

My 2

l/2 l/2 l/2 l/2

PP

ll

j

My

My My

i

Fig. 12.5 (a, b) Continuous beam. Loading and bending moment diagram in elastic state; (c, d)
Plastic hinge at the support 1 and presenting the continuous beam as two separate beams; (e–h)
Finding of limit load by graphical method; (i) Calculation of limit plastic load by kinematical
method