Solving Statics Deformation Problems: Rod Equations & Attempt at Solution

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SUMMARY

The discussion focuses on solving statics deformation problems using the rod equations, specifically the formula for deformation: deformation = (force * length) / (elastic moduli * area). The user attempts to apply this equation to calculate the reaction force at point A and the tensions in rods AB and BC. However, they express difficulty in correctly applying the forces due to a lack of examples in class and insufficient guidance from the textbook.

PREREQUISITES
  • Understanding of statics and mechanics of materials
  • Familiarity with the concept of elastic modulus
  • Knowledge of force balance equations
  • Basic algebra for solving equations
NEXT STEPS
  • Review the principles of statics in mechanics, focusing on force equilibrium
  • Study the concept of elastic modulus and its application in deformation calculations
  • Practice solving problems involving multiple rods under load
  • Explore resources or textbooks that provide worked examples of deformation problems
USEFUL FOR

Students studying mechanics of materials, engineering students tackling statics problems, and anyone seeking to understand deformation in structural analysis.

Mark Nussbaum

Homework Statement


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Homework Equations


deformation=(force*length)/(elastic moduli*area)

The Attempt at a Solution


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and
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since most of the variable are constants it seemed like a simple plug in problem, however it seems that my use of the forces is incorrect. unfortunately we had no examples for this chapter in class and what is in the textbook has not helped me so far. the above is both equations for deformation of each rod summed together top rod first then bottom.
 

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From an overall force balance, what is the reaction force at A? What is the tension in AB? What is the tension in BC?
 

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