In the 'Muller-Breslau principle', the influence line for a function (reaction, shear, moment) is the:
Choose the correct answer
Free body diagram of the structure
Deflected shape when the restraint is removed and unit deformation applied — direct graphical construction of IL
The loading pattern itself
Bending moment under full loading
Correct Answer
B. Deflected shape when the restraint is removed and unit deformation applied — direct graphical construction of IL
Why is this the answer?
Muller-Breslau: the influence line for any function X in a structure is the deflected shape of the structure when the restraint corresponding to X is removed and a unit displacement (for reactions/shears) or unit rotation (for moments) is applied in the direction of X. Extremely powerful: find IL shape without calculating ordinates individually. For propped reaction: remove prop, apply unit settlement = IL for reaction.
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