How Is Displacement Calculated in a Compound Bar Under Load?

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SUMMARY

The displacement of point D in a compound bar consisting of a steel bar and a brass bar, both with a diameter of 36 mm, is calculated using the formula PL/AE. Given the forces PB=54 kN and PD=117 kN at points B and D respectively, the correct application of these forces is crucial for accurate displacement determination. The discussion emphasizes the importance of showing work to receive assistance, highlighting the collaborative nature of problem-solving in engineering contexts.

PREREQUISITES
  • Understanding of stress and strain concepts in materials science
  • Familiarity with the formula PL/AE for calculating displacement
  • Knowledge of material properties for steel and brass
  • Basic principles of static equilibrium in structural analysis
NEXT STEPS
  • Study the mechanical properties of steel and brass for accurate material selection
  • Learn about the application of the PL/AE formula in various loading conditions
  • Explore static equilibrium principles to analyze forces in compound structures
  • Investigate common mistakes in displacement calculations and how to avoid them
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Engineering students, structural analysts, and professionals involved in materials engineering or mechanics who are looking to deepen their understanding of displacement calculations in compound bars under load.

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Homework Statement


A steel bar and a brass bar, both of 36 mm diameter, are joined at point C to form a compound bar. Neglect the weight of the bars. Determine the displacement (in mm) of point D due to the loading.

The forces are PB=54 kN and PD=117 kN at points B and D respectively.

Give your answer to 2 decimal places in mm.

35m1du1.jpg



Homework Equations



PL/AE

The Attempt at a Solution


I have tried for a lot of times. But i think my mistake is on the force use on each segment.
 
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Dustybin said:

Homework Statement


A steel bar and a brass bar, both of 36 mm diameter, are joined at point C to form a compound bar. Neglect the weight of the bars. Determine the displacement (in mm) of point D due to the loading.

The forces are PB=54 kN and PD=117 kN at points B and D respectively.

Give your answer to 2 decimal places in mm.

35m1du1.jpg



Homework Equations



PL/AE

The Attempt at a Solution


I have tried for a lot of times. But i think my mistake is on the force use on each segment.

Welcome to the PF.

Please show us your work so far. We cannot help you unless we see your work (per the PF Rules link at the top of the page).
 

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