Stresses and Deformation in Beams for Conditions other than Pure Bending

Stresses and Deformation in Beams for Conditions other than Pure Bending 

The equations for bending stress and deflection developed in the previous sections may be used for beams with loading conditions other than pure bending. In so doing, the same restrictions apply as in using their elastic counterparts for conditions other than pure bending. A few examples will be given for beams with distributed loads. 

Example 1 Consider a simply supported rectangular viscoelastic beam with a step input of a uniformly distributed load as given in Eig. 8.6(a). 

The solution for stresses, deformations and strains for an elastic beam of the same geometry and loading is known. For example the maximum bending stress occurs at the outer surface of the beam at mid-span and is given by. 

I 2 h 2 h Replacing all variables by their Laplace transform gives. 

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