Finding the max. deflection of the beam

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SUMMARY

The discussion focuses on calculating the maximum deflection of a beam under a load of 75kg using Young's Modulus (E=200,000 N/mm²). Participants are advised to utilize an Excel template for calculations, particularly for determining the bending moment and beam surface strain. The relationship between the applied load and beam surface strain is established through the formula (M/I)(h/2) = Ee. The conversation emphasizes the importance of showing work and relevant equations when seeking assistance.

PREREQUISITES
  • Understanding of Young's Modulus in material science
  • Familiarity with beam deflection formulas
  • Proficiency in using Excel for engineering calculations
  • Knowledge of bending moment and strain relationships
NEXT STEPS
  • Learn how to calculate beam deflection using the formula δ = (PL³)/(48EI)
  • Explore the concept of bending moments and their calculation in beams
  • Investigate the relationship between load and strain in structural engineering
  • Practice using Excel for engineering simulations and calculations
USEFUL FOR

Mechanical engineers, civil engineers, students studying structural analysis, and anyone involved in designing or analyzing beam structures will benefit from this discussion.

farry1024
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For the Electronic Bathroom Scale. The maximum load on a
beam is assumed to be 75kg.

(a) Find the max. deflection by using the Young’s Modulus
E=200,000 N/mm². Is it small? Also see next page for the
dimensions of the beam. Hint: For small deflection, tan phyter » phyter.
Use the given Excel template file if needs.

(b) Determine the relationship of the applied load (say, mass in kg
here!) against the beam surface strain (e). Hint: Using Excel to
calculate the Bending Moment at the surfaces of the beam first.
Then use the equation (M/I)(h/2) = Ee.

(c) What have you observed?

What formula should I use the find the max. deflection?
 

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Hi, farry1024. The PF rules state we are not allowed to tell you how to approach or solve your homework problem. See the required homework template when you start to create a new thread in the homework forums. You must list relevant equations yourself, and show your work; and then someone might check your math.
 

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