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For simple cases of loading (fig. 3.7-3.8) angles supporting beam
cross sections are defined as follows:

P EI    Pab (l  a );
  x 6l
Pab
EI     6l (l  b );
x
2
for b l  : 2 EI    EI     Pl .
при a 
x x 16
l
Figure 3.7– Concentrated
force in an arbitrary cross
section the span
2
2
2
q (b  a 2 )  a  b 
  EI     l  2   ; 
x
12l  2 
q
2
2
2
q (d  c 2 )  2 c  d 
EI     l   ; 
x
12l  2 
 
c 3
a d при a  , 0 c  : 0 EI    EI     ql .
for
x x
24
b

l
Figure 3.8 – Distributed load of
constant intensity on part the
span

Ml   a 2 
 М  EI    1   3   ; 
z
6
  l  
EI    Ml   1   3   b 2  ; 

x
6
  l  
l при a b l : 2 EI    EI   Ml .
x x 24
Figure 3.9 – Concentrated
moment in an arbitrary cross
section the span

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