Page 344 - statbility for masters and mates
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332 Ship Stability for Masters and Mates
W l
Fig. 40.7
equal to W X and this, in turn, is equal to the area under the shearing force diagram between the ordinates BD and YF.
Case II
Now consider a solid beam of constant cross-section which is supported at one end as shown in Figure 40.8. Let w be the weight per unit length of the beam.
At any section Y in the beam, which is at distance `X' from B, there is a positive shearing force wX where wX is the weight of the beam up to that section and, since the weight wX may be taken to act half-way along the
wX2 length X, there is a bending moment wX X/2 or 2 .
This is shown graphically in Figure 40.9, where AB represents the length of the beam (l).
Fig. 40.8
