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Chapter 43
Bending and shear
stresses
The shear forces and bending moments which act upon a ship's structure cause shear and bending stresses to be generated in the structure. We have seen earlier that the shearing forces and bending moments experienced by a ship are similar to those occurring in a simply supported beam. We shall therefore consider the shear and bending stresses created when an ordinary beam of rectangular section is simply supported.
Bending stresses
The beam in Figure 43.1(a) is rectangular in cross-section, is simply supported at each end and has a weight W suspended from its mid-point. This distribution will tend to cause the beam to bend and sag as shown in
Figure 43.1(b).
Consider ®rst the bending stresses created in the beam. Let ab and cd in
Figure 43.1(a) be two parallel sections whose planes are perpendicular to the plane AB. Let their distance apart be dx. When the beam bends the
Fig. 43.1(a)
