What is approximately the shear modulus for an elastic material with Poisson's ratio of 0.27 and Young's modulus of elasticity of 95,000 MPa?

The shear modulus \( G \) can be calculated using the relationship between the shear modulus, Young's modulus \( E \), and Poisson's ratio \( \nu \):

\[
G = \frac{E}{2(1 + \nu)}
\]

Where:
- \( E \) is the Young's modulus (95,000 MPa),
- \( \nu \) is the Poisson's ratio (0.27).

Substituting the given values:

\[
G = \frac{95,000}{2(1 + 0.27)}
\]
\[
G = \frac{95,000}{2(1.27)} = \frac{95,000}{2.54} \approx 37,402.36 \, \text{MPa}
\]

Thus, the approximate shear modulus for this elastic material is **37,402 MPa**.

Would you like more details or have any questions on this?

Here are 5 related questions:
1. How does Poisson's ratio affect the shear modulus?
2. What is the significance of the shear modulus in material properties?
3. How would a higher Poisson's ratio change the result?
4. What other methods can be used to calculate the shear modulus?
5. What are typical values of the shear modulus for common materials?

**Tip:** Always ensure units are consistent when applying formulas in engineering problems to avoid errors.

Learn how to calculate the shear modulus for an elastic material with Poisson's ratio of 0.27 and Young's modulus of 95,000 MPa. This guide includes the key elasticity formula and a detailed step-by-step solution. Suitable for college-level engineering students.

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