COE 3001 Lecture 5: 5+Statically+Indeterminate+Axial+Loaded+Members
23 Nov 2016
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Document Summary
So far, the only examples we have studied are statically determinate systems. In a statically determinate system, the reaction forces and internal forces can be obtained from the free body diagram and the equations of equilibrium (sum of forces and sum of moments equal to zero). One of the important things to note is that we can determine these forces without knowing anything about the materials involved. However, most situations are not so clean cut. For this situation, we can write one equation of equilibrium, for forces in the y-direction: Unfortunately, this equation is not enough to solve for the two reaction forces ra and rb, because we have two unknowns and only one equation (assuming we know the applied force f). To determine the two reaction forces, we need to use other equations. One such equation is the equation of compatibility, which states the following:
