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

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Homework Help Overview

The discussion revolves around the relationship between shear force diagrams and applied loads in the context of beam mechanics. Participants are exploring whether shear force and bending moment diagrams can be represented as functions of the applied load P instead of displacement x.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the standard practice of plotting shear force and bending moment as functions of displacement along the beam, and whether it is valid to consider them as functions of the applied load P. There is a discussion about the implications of such a representation.

Discussion Status

The discussion is active, with participants expressing differing views on the interpretation of shear force diagrams. Some are seeking clarification on terminology, while others are questioning the implications of changing the independent variable from displacement to load.

Contextual Notes

There appears to be some confusion regarding the terminology used in the context of shear force diagrams and the relationship between load and shear force. Participants are also considering the effects of varying the applied load on the shear forces in the beam.

annas425
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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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