Can a shear force diagram be a function of applied load P?

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In shear force and bending moment diagrams, shear force (V) and bending moment (M) are typically plotted as functions of displacement (x) along the beam's length. The discussion clarifies that asking for diagrams as a function of the applied load P implies plotting V or M against P, which is not standard practice. The shear force is influenced by the applied loads and the beam's support conditions, meaning that V and M are fundamentally functions of x. Doubling the load P results in a proportional increase in shear forces throughout the beam. Therefore, shear force diagrams and plots of shear force versus load P are not equivalent concepts.
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…or must it be of displacement, x?

In a shear force, V (or bending moment, M) diagram, isn't it usually the shear force (or bending moment) plotted as a function of displacement, x?

When someone asks to "draw the shear force and bending moment diagrams as a function of the applied load P," I'm assuming that means to put V (or, in the case of moment, M) on the y-axis (dependent variable) and P on the x-axis (independent variable)?

Thanks in advance!
 
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Shear force and bending moment are plotted along the length of the beam. The shear force is determined by the loads applied to the beam and the location and nature of the beam supports. If the x-coordinate is measured along the length of the beam, then V and M are functions of x.
 
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SteamKing said:
Shear force and bending moment are plotted along the length of the beam. The shear force is determined by the loads applied to the beam and the location and nature of the beam supports. If the x-coordinate is measured along the length of the beam, then V and M are functions of x.

Okay, so "shear force diagram" and "plot of shear force vs. load P" are not synonymous, correct??
 
I don't know what the phrase "plot of shear force vs. load P" even means. If you double the load P, then you'll double all of the shear forces in the beam.
 
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