How are Shear and Bending Moment Equations Derived from Distributed Loads?

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SUMMARY

The discussion focuses on the derivation of shear (V) and bending moment (M) equations from distributed loads (ω) in structural analysis. Participants clarify the relationship between distributed loads and their slopes concerning the x-coordinate, emphasizing the importance of understanding these concepts for accurate diagram construction. The conversation highlights the necessity of mastering the foundational equations to effectively analyze shear and bending moments in engineering applications.

PREREQUISITES
  • Understanding of shear and bending moment diagrams
  • Familiarity with distributed load concepts in structural analysis
  • Knowledge of basic calculus, particularly derivatives
  • Experience with engineering mechanics principles
NEXT STEPS
  • Study the derivation of shear and bending moment equations from first principles
  • Learn about the relationship between distributed loads and their graphical representations
  • Explore advanced topics in structural analysis, such as the influence line method
  • Investigate software tools for creating shear and bending moment diagrams, such as AutoCAD or SAP2000
USEFUL FOR

Students in civil and structural engineering, practicing engineers involved in structural analysis, and anyone interested in mastering the principles of shear and bending moment calculations.

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Homework Statement


draw/find the shear and bending moment diagrams of:
Untitled-1.jpg


Homework Equations


asd-1.jpg

V : shear
M : bending moment
ω : distributed load

The Attempt at a Solution


i already understood how the solution worked but i can't quite understand how the equations with the boxes were derived
 
Last edited:
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What is the slope of the distributed loads with respect to the x-coordinate?
 

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