Strength to Weight & Modulus to Weight

In summary, strength to weight ratio is a measure of a material's ability to bear load relative to its weight. It is important in industries such as aerospace and automotive. Modulus to weight ratio measures a material's rigidity relative to its weight and affects its performance. These ratios can be improved by using higher strength and stiffness materials and optimizing design and manufacturing processes.
  • #1
CRich
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Homework Statement


σ=230MPa (tensile strength)
E=15GPa (modulus)
ρ=1.85 g/cm^3 (density)



Homework Equations



Strength/Weight = σ/ρ
Modulus/Weight = E/ρ

The Attempt at a Solution



Strength/Weight = σ/ρ = 230x106 N/m2 / 1850 kg/m2
= 124324.32 (Units?) ___Shouldn't this be unit less?

Modulus/Weight = E/ρ = 1.5x10 10 N/m2 / 1850 kg/m2
= 8108108.108 (Units?) ___Shouldn't this be unit less?

____Any help is appreciated, thank you__
 
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  • #2
Units are Nm/kg using mass density. Or if you use weight density,
the
units are length units (meters or feet or inches, etc)
 

1. What is strength to weight ratio?

Strength to weight ratio is a measure of how much load or force a material can withstand relative to its weight. It is calculated by dividing the maximum load a material can handle by its weight.

2. Why is the strength to weight ratio important?

The strength to weight ratio is important because it allows us to compare the performance of different materials in terms of their strength and weight. It is especially important in industries such as aerospace and automotive, where weight plays a crucial role in the design and efficiency of products.

3. What is modulus to weight ratio?

Modulus to weight ratio is a measure of a material's stiffness or rigidity relative to its weight. It is calculated by dividing the material's modulus of elasticity by its weight.

4. How does modulus to weight ratio affect material performance?

The higher the modulus to weight ratio, the stiffer and stronger a material is for its weight. This means that it can withstand greater loads without deforming or breaking, making it more desirable for structural applications.

5. Can the strength to weight and modulus to weight ratios be improved?

Yes, the strength to weight and modulus to weight ratios can be improved by using materials with higher strength and stiffness, as well as by optimizing the design and manufacturing processes to reduce weight while maintaining or increasing strength and stiffness.

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