Answer :
Final answer:
The Poisson's Ratio of the steel, based on the provided modulus of elasticity and shear modulus, is approximately 0.208. This value measures the steel's tendency to deform volumetrically relative to linear deformation.
Explanation:
This can be determined using the modulus of elasticity E (also known as Young's Modulus) and the shear modulus G. The relationship between these properties is defined by the formula for Poisson's Ratio (ν), which is ν = E/(2G) - 1.
Given that E = 29000 ksi and G = 12000 ksi, you can substitute these values into the formula to find ν.
So, ν = 29000/(2*12000) - 1 = 0.208. Therefore, the Poisson's Ratio of the steel is approximately 0.208.
Remember, the Poisson's Ratio is a measure of the degree to which a material tends to expand in directions perpendicular to the direction of compression, or conversely, the degree of volumetric deformation relative to linear (or axial) deformation.
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