6.11 Myklestad Method
213
Fig. 6.15 A beam segment
The last term of Eq. (6.78) is due to rotary inertia effect. From Eq. (6.72), the
following relation can be expressed
y s i + 1 = y s i −
V
η AG
i
L i
(6.79)
Bending moment M at any distance x from the left hand section i is
M = M i +
M i + 1 − M i
L i
x
(6.80)
The bending slope at a distance x fromi is given by
θ b =
1
(E I ) i
M dx + C 1
or
θ b =
1
(E I ) i
M i +
M i+ 1 − M i
L i
x
dx + C 1
or
θ b =
1
(E I ) i
M i x +
M i+ 1 − M i
L i
x
2
2
+ C 1
(6.81)
213
Fig. 6.15 A beam segment
The last term of Eq. (6.78) is due to rotary inertia effect. From Eq. (6.72), the
following relation can be expressed
y s i + 1 = y s i −
V
η AG
i
L i
(6.79)
Bending moment M at any distance x from the left hand section i is
M = M i +
M i + 1 − M i
L i
x
(6.80)
The bending slope at a distance x fromi is given by
θ b =
1
(E I ) i
M dx + C 1
or
θ b =
1
(E I ) i
M i +
M i+ 1 − M i
L i
x
dx + C 1
or
θ b =
1
(E I ) i
M i x +
M i+ 1 − M i
L i
x
2
2
+ C 1
(6.81)