Are Bending Moment and Shear Force Dependent on Beam's Cross Sectional Area?

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Bending moment and shear forces are not dependent on a beam's cross-sectional area. The bending moment is derived from the shear force curve, which in turn is derived from the load curve of the beam. This relationship indicates that cross-sectional details are not necessary for drawing shear force diagrams (SFD) and bending moment diagrams (BMD). The discussion highlights the importance of understanding these foundational concepts in structural analysis. Overall, the focus remains on the mathematical relationships rather than the physical properties of the beam's cross-section.
Padmal
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Do bending moment and shear forces are dependable on a beam's cross sectional area?
 
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Padmal said:
Do bending moment and shear forces are dependable on a beam's cross sectional area?
They do not.

The bending moment is the integral of the shear force curve, and the shear force curve is the integral of the load curve of the beam.

http://en.wikipedia.org/wiki/Shear_and_moment_diagram {See the section "Relationships between load, shear, and moment diagrams"}
 
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SteamKing said:
They do not.

The bending moment is the integral of the shear force curve, and the shear force curve is the integral of the load curve of the beam.

http://en.wikipedia.org/wiki/Shear_and_moment_diagram {See the section "Relationships between load, shear, and moment diagrams"}
Very much thank you to you sir! I was wondering that we're not given any of those cross sectional details when we're asked to draw SFD and BMD. So that's a kind of a hidden tip ;)
 

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