Appendix 563

Ta b l e A. 9

One-span beams. Influence lines for boundary effectsPinned–pinned beam

Clamped–pinned beam

Clamped–clamped beam

(^2) l 6 EI
qA
= (
u −
(^3) u
)⋅
(^2) l 6 EI
qB
= (
u −
(^3) u
) ⋅
factor
(^2) l
/6
EI
ul
P=
1
ul
qA
qB
AB
0.288
0.384
0.336
0.192
IL
(q
)A

• 0.192
  0.336
  0.384
  0.288


• 
  

  IL
  (q
  )B
  0.171
  0.357
  0.375
  0.273
  0.099
  0.099
  0.273
  0.375
  0.357
  0.171
  factor
  (^2) l
  /6
  EI
  l
  l 2
  Μ
  (^) A
  = (
  u −
  (^3) u
  ) ⋅
  (^2) l 4 EI
  qB

  
  

  (^2) u
  (^1
  −
  factor u) ⋅
  l/2.
  IL
  (M
  )A
  IL
  (q
  )B
  factor
  (^2) l/4
  EI
  0.032
  0.096
  0.144
  0.128

  
  


• 
  

  0.288
  0.384
  0.336
  0.192
  0.171
  0.357
  0.375
  0.273
  0.099
  0.009
  0.063
  0.125
  0.147
  0.081
  ul
  P=
  1
  ul qB
  A
  B
  l

  
  

• 
  

  −
  M
  A
  M
  A^

  
  

  uu
  2 ⋅
  l
  M
  B^

  
  

  (^2) u
  u⋅
  l
  factor
  l.
  IL
  (M
  )A
  IL
  (M
  )B
  factor
  l.
  0.032
  0.096
  0.144
  0.128
  0.128
  0.144
  0.096
  0.032
  0.081
  0.147
  0.125
  0.063
  0.009
  0.009
  0.063
  0.125
  0.147
  0.081
  ul
  P=
  1
  ul
  A
  B
  l

  
  


• 
  


• 
  

  − −
  M
  B
  M
  A
  1:
  Positive sign for angle of rotation: for left support clockwise, for right support counterclockwise.
  2:
  Sign
  
  means the inflection points of elastic curve.
  3:
  Each beam is divided by 10 equal segments.