How to find deflection of a composite cantilevered beam?

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SUMMARY

The discussion focuses on calculating the deflection of a composite cantilevered beam made of steel and aluminum. Participants emphasize the need to determine the effective Young's Modulus (E) and area moment of inertia (I) for the composite structure. The standard deflection equation for cantilever beams applies, but adjustments must be made to account for the properties of both materials. Users are encouraged to show their work and relevant equations to facilitate assistance.

PREREQUISITES
  • Understanding of Young's Modulus and its application in material science.
  • Knowledge of area moment of inertia and its significance in beam deflection calculations.
  • Familiarity with the standard deflection equations for cantilever beams.
  • Basic principles of composite materials and their mechanical properties.
NEXT STEPS
  • Research how to calculate effective Young's Modulus for composite beams.
  • Study the derivation and application of the area moment of inertia for different cross-sectional shapes.
  • Learn about the superposition principle in mechanics for analyzing composite structures.
  • Explore numerical methods for beam deflection analysis using software tools like MATLAB or ANSYS.
USEFUL FOR

Engineering students, structural analysts, and professionals involved in materials science or mechanical engineering who are tasked with analyzing composite beam structures.

champbronc2
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Homework Statement


Stack a steel beam on top of an aluminum beam. If you are given the Young's Modulus values (in psi) of each beam, try to predict the deflection of the "composite" beams.

Please view the "Hint" my teacher gave me in the pdf attachment in this post.




Homework Equations


Well, where do I go? I know the standard equation for deflection of a cantilever beam, but when you have a composite beam, what is the effective E and I values? (E= Young's Modulus and I = area moment of inertia)

I can't quite tell how the spring thing even helps when all I am given are the Young's Modulus values of each beam?


The Attempt at a Solution


Well, I am not asking so much for a solution as for what direction I ought to head.
 

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champbronc2: You must list relevant equation(s) yourself, and show your work. We are not allowed to list relevant equation(s) for you, nor tell you how to do your homework. Make an attempt, and someone might check your math.
 

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