
Slope at A The slope of the elastic curve is not known at any point on the beam, so we will use the tangent at support A as the reference tangent and determine its slope, θ_A, from the conditions that the deflections at the support points A and D are zero. ENERGY METHODS : Displacements of determinate structures. Macaulays Method Definition Macaulays Method for slope and deflection Macaulays Method example 1: Slope and Deflection in a Simply supported Beam for. 6.6(b).Įlastic Curve The elastic curve for the beam is shown in Fig. beams using doubleintegration method, Macaulays method, Area moment method. C due to loads P1 and P2 acting simultaneously is (by moment-area theorem). Need to: Plot qualitative deflection shapes before/after the analysis Calculate deflections at any location of a structure.

M/EI Diagram Because EI is constant along the length of the beam, the shape of the M/EI diagram is the same as that of the bending moment diagram. Structural analysis and design is a very old art and is known to human. Structural Analysis for Slopes and Deflection using Moment Area Theorem Method - Example 4 Calculate the deflection at the midpoint of the simply supported b.
