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.