Page 112 - Aircraft Stuctures for Engineering Student

96 Energy methods of structural analysis

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Fig. 4.20 Determination of bending moment distribution in a shear and direct loaded ring.
The bending moment at a radial section inclined at an angle 0 to the vertical diameter
is, from Fig. 4.20(c)
J-1
M = MA + N*R( 1 - COS 0) + qBDR da
or
@P
M=MA+NAR(l -cos@) + -sina[R-Rcos(8-a)]Rda
So XR
which gives
PR
M = MA + N*R( 1 - cos@) + -( 1 - cos@ - $@sin@) (iv)
lr