A simply support by the original beam is usually a good choice, but sometimes another point is more convenient. Determine the slope and deflection by using unit load method. The method assumes that all deformations are produced by moment. Beams continuous beams beam deflection curved beams. Draw a bmd for each loading including the support reactions of the original beam. Problem 1 unit load method rigid jointed frame virtual work method castiglianos second theorem duration. Simplified pvw for beams and frames using multiplication of bending moment diagram. Computation of deflection using principle of virtual work pvw.
If all the diagrams can be fitted on a single plot, do so. Virtual work method or unit load method the deflection. In the case of unit load method the deflection at a point of beam is given as. To solve indeterminate systems, we must combine the. Momentarea method the moment area method is a semigraphical procedure that utilizes the properties of the area under the bending moment diagram. Virtual work unit load method the method of virtual work, or sometimes referred to as the unitload method, is one of the several techniques available that can be used to solve for displacements and rotations at any point on a structure. The double integration method is a procedure to establish the equations for slope and deflection at points along the elastic curve of a loaded beam.
Structural deflectionsvirtual workunit load method. In strain energy method, an imaginary load p is applied at the point where the deflection is desired to be determined. Concept of virtual work that would be done by a force if it were to displace its point of. Unit load method for deflections of planar, nonlinear. The deflection basin method uses the vertical equilibriu m of the loaded rail and several deflection measurements to more directly estimate track m odulus.
The results of manual analysis quoted above are based on beam formulas, which tend to show lesser than actual deflections. Commonly this line is the line joining the supports of the structure. Structural deflectionsvirtual workunit load method dr. It is the quickest way to compute the deflection at a specific location if the bending. P is equated to zero in the final step and the deflection is obtained. Sometimes referred as the unitload method generally provides of obtaining the displacement and slope at a specific point on structure i. Beam deflection formulae beam type slope at free end deflection at any section in terms of x maximum deflection 1. Examples of these are the slopedeflection method for beams and the moment. Use the unit load method to determine the deflecti. State the difference between strain energy method and unit load method in the determination of deflection of structures.