Problem 2774. Rule of mixtures (composites) - upper bound

• Created by goc3
• Appears in 4 groups

×

By solving this problem, you will make progress in the following group(s)

All Things Fibonacci

• 9 Problems
• 318 Finishers

Basics - Fibonacci

• 8 Problems
• 353 Finishers

M3 Challenge Problem Group

• 20 Problems
• 20 Finishers

Prográmky

• 10 Problems
• 76 Finishers

Like (3)

Difficulty:

(2987)

Rate

• Solve Later   
• Add To GroupÂ

The rule of mixtures is used in the mechanical design of composite structures to estimate the elastic modulus (Ec) based on the following properties:

• Ef: elastic modulus of the fiber material
• Em: elastic modulus of the matrix material
• ff or fm: volume fraction of the fiber or matrix material (ff = 1 – fm)

Based on these values, the upper-bound (linear) estimate of elastic modulus is calculated by:

Ec = ff * Ef + (1 – ff) * Em.

Write a function to calculate this bound for various values.

Solve

Solution Stats

70.91% Correct | 29.09% Incorrect

• 165 Solutions
• 106 Solvers

Last Solution submitted on Feb 26, 2025

Last 200 Solutions

Solution Comments

Problem Recent Solvers106

Suggested Problems

• Column Removal

  25949 Solvers

• Binary numbers

  4552 Solvers

• Back to basics 9 - Indexed References

  446 Solvers

• Replace every 3rd element in a vector with 4

  253 Solvers

• Find MPG of Lightest Cars

  6692 Solvers

More from this Author139

• Consecutive Equation Times (of the day)

  57 Solvers

• Legend of Zelda - Rupee Count (Compact)

  59 Solvers

• Scrabble Scores - 13

  15 Solvers

• Divisible by 9

  263 Solvers

• Scrabble Scores - 12

  18 Solvers