Calculating Bulk and Shear Modulus with Young's Modulus and Poisson's Ratio

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To calculate the Bulk modulus (K) and shear modulus (G) from Young's modulus (E) and Poisson's ratio (ν), the formulas K = E / [3(1 - 2ν)] and G = E / [2(1 + ν)] can be used. Given a Young's modulus of 250 GN/m² and a Poisson's ratio of 0.32, the Bulk modulus and shear modulus can be derived using these equations. The discussion also references helpful resources for understanding Poisson's ratio and bulk modulus. Overall, the focus is on applying these formulas to complete the coursework assignment. Understanding these concepts is essential for accurate calculations in material science.
Simon Cook
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Hi Can any please help:

My course work is asking for me to calculate the Bulk modulus and shear modulus for a material that has a Young's modulus of elasticity of 250GN m-2 and a Poisson's ratio of 0.32?

Any help will be great thanks

Simon
 
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Simon Cook said:
Hi Can any please help:

My course work is asking for me to calculate the Bulk modulus and shear modulus for a material that has a Young's modulus of elasticity of 250GN m-2 and a Poisson's ratio of 0.32?

Any help will be great thanks

Simon
Does your course work include an explanation of what Poisson's ratio represents?

Here is a refresher:

https://en.wikipedia.org/wiki/Poisson's_ratio

There's also an article on bulk modulus:

https://en.wikipedia.org/wiki/Bulk_modulus
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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