Uniformly Distributed Load Civil Engineering (CE) Notes | EduRev

Advanced Solid Mechanics - Notes, Videos, MCQs & PPTs

Civil Engineering (CE) : Uniformly Distributed Load Civil Engineering (CE) Notes | EduRev

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Uniformly Distributed Load

Next, we study the problem of an infinite beam on an elastic foundation subjected to a uniformly distributed load of length L symmetrically on either side of the origin, as shown in figure 11.6. As before, we apply the principle of superposition to find the deflection at a point to be

 

Uniformly Distributed Load Civil Engineering (CE) Notes | EduRev       (11.33)

Evaluating the integrals in equation (11.33) we obtain

 

Uniformly Distributed Load Civil Engineering (CE) Notes | EduRev          (11.34)
Having found the displacement, (11.34), the variation of the bending moment along the axis of the beam obtained from (11.2) is:

Uniformly Distributed Load Civil Engineering (CE) Notes | EduRev            (11.35)

and the shear force variation computed using (11.14) is:

Uniformly Distributed Load Civil Engineering (CE) Notes | EduRev            (11.36)

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