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☕ https://buymeacoffee.com/pankajkporwal ☕ Muller Breslau Principle for Influence Line Diagram (ILD) It is a quick way to draw influence line diagram. It states that the ILD for a function (Support Reaction, Shear Force, Bending Moment) is proportional to the deflected shape obtained by releasing the degree of freedom corresponding to the function and letting the beam / structure displace under the action of the function. Here note that the total displacement / rotation at the point of release is 1 unit. The release for Support Reaction – 1 unit displacement in the direction of support reaction Shear Force – 1 unit displacement in the direction of positive shear force Bending Moment – 1 unit rotation in the direction of positive bending moment Examples For support reaction For shear force For bending moment Muller Breslau Principle Influence Line Diagram ILD Rolling Load Rolling Loads Moving Load Moving Loads Shear Force Bending Moment Support Reaction Vertical Theory of Structures Theory Structure Structures Structural Analysis Structural Analysis ToS concept introduction fundamental basic short cut short trick easy simple solution answer beginner how what find solve easiest idea explanation best understand understanding quick fast basics