INFLUENCE LINE METHOD OF ANALYSIS INFLUENCE LINE DIAGRAM An influence line for any given point or section of structure is a curve whose ordinates represent to scale the variation of a function such as shear force, bending moment, deflection etc at a point or section, as the unit load moves across the structure. Influence line for determinate structures: (1) Simply supported beam: I.L.D. for reactions at the supports: Let a unit load waves from the left end A to the right end B of the beam. As’ x’ increases, increases and decreases. At x=0, =0, =1 At x=l, = 1, = 0 Thus, I.L.D. is shown in the figure below. Uses of an Influence Line Diagram: To determine the value of the quantity for a given system of loads on the span of the structure. To determine the position of live load for the quantity to have the maximum value and hence to compute the maximum value of the quantity. INFLUENCE LINE DIAGRAMS: ...
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