Civil Engineering Reference
In-Depth Information
8.2 Compatibility Truss Model for Beam Analysis
8.2.1 Analysis of Beams Subjected to Uniformly Distributed Load
In Section 8.1.2 we have analyzed a beam subjected to an uniformly distributed load according
to the plasticity truss model (Figure 8.2). By assuming an infinite plasticity for the materials
we obtained a discontinuous banded stress field as shown in Figure 8.2(b). From this stress
field a staggered shear diagram was derived as shown in Figure 8.2(d).
In this section we will apply the compatibility truss model to the same beam, Figure 8.3(a),
subjected to the same uniformly distributed load
w
. In this model a continuous stress field will
be introduced (Hsu, 1982). This continuous stress field will satisfy not only the equilibrium
Figure 8.3
Forces in beam under uniform load
