Sheer and bending moment diagrams

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SUMMARY

In structural analysis, concentrated loads result in a constant shear diagram represented by straight horizontal lines, while the bending moment diagram is linear. Conversely, evenly distributed loads produce a linear shear diagram and a quadratic bending moment diagram. For linearly distributed loads, the shear diagram is quadratic, and the bending moment diagram is cubic. This understanding is crucial for accurately visualizing and calculating shear and bending moments in engineering problems.

PREREQUISITES
  • Understanding of shear and bending moment diagrams
  • Familiarity with concentrated and distributed loads
  • Basic knowledge of structural analysis principles
  • Ability to derive equations for shear and bending moments
NEXT STEPS
  • Study the derivation of shear and bending moment equations for concentrated loads
  • Learn about the effects of uniformly distributed loads on shear and bending moment diagrams
  • Explore the analysis of linearly distributed loads and their impact on shear and bending moments
  • Practice creating shear and bending moment diagrams using software tools like AutoCAD or MATLAB
USEFUL FOR

Structural engineers, civil engineering students, and anyone involved in analyzing forces in beams and structures will benefit from this discussion.

fayan77
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ok so for concentrated loads the sheer diagram is constant meaning are straight horizontal lines and the bending moment diagram is linear. when there are evenly distributed loads sheer diagram is linear and bending moment diagram is quadratic. I am thinking that when there is a load distributed linearly like in the picture below the sheer diagram would be quadratic and the bending moment diagram cubic. I am kind of stuck on this problem all the variables make it harder to visualize what is happening I have done this so far but i got stuck when trying to find the bending moment.
 

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fayan77 said:
the sheer diagram is constant meaning are straight horizontal lines
I cannot make sense of that.
fayan77 said:
when there is a load distributed linearly like in the picture below the sheer diagram would be quadratic and the bending moment diagram cubic.
Seems reasonable. Can you write the equations?
 

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