Structural mechanics: Distributed forces on a structure

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SUMMARY

The forum discussion centers on the calculation of distributed forces on a structure, specifically focusing on the variable ##X_A##. Multiple participants report their calculated value for ##X_A## as 5 kN, which deviates from the standard answer. The relevant equations discussed include the equilibrium equation $$\sum m_C=0$$, which is crucial for analyzing moments in structural mechanics. Participants are encouraged to provide detailed workings and plots of moments (M), shear forces (W), and normal forces (N) for a triple hinge structure.

PREREQUISITES
  • Understanding of structural mechanics principles
  • Familiarity with equilibrium equations in mechanics
  • Ability to analyze forces and moments in structures
  • Proficiency in plotting shear and moment diagrams
NEXT STEPS
  • Study the application of the equilibrium equation $$\sum m_C=0$$ in structural analysis
  • Learn how to plot moment (M), shear (W), and normal (N) force diagrams for complex structures
  • Explore the concept of triple hinge structures and their behavior under distributed loads
  • Investigate common discrepancies in calculated forces and standard answers in structural mechanics
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Structural engineers, civil engineering students, and professionals involved in analyzing and designing structures under distributed loads.

Kile
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Homework Statement
What's your result of ##X_A##? I find mine is different from the standard answer.
Relevant Equations
My answer for $$X_A =5 kN$$
Problem Statement: What's your result of ##X_A##? I find mine is different from the standard answer.
Relevant Equations: My answer for $$X_A =5 kN$$

Problem Statement: What's your result of ##X_A##? I find mine is different from the standard answer.
Relevant Equations: My answer for $$X_A =5 kN$$
$$\sum m_C=0$$

Here is a triple hinge, try to plot its M, W, N.
243011
 
Last edited:
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Show your work
 
Kile said:
Problem Statement: What's your result of ##X_A##? I find mine is different from the standard answer.
Relevant Equations: My answer for $$X_A =5 kN$$

Here is a triple hinge, try to plot its M, W, N. View attachment 243011
Show us the details of what you did.
 

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