Question
Download Solution PDFCalculate Young's Modulus of Elasticity of a material, whose bulk modulus is 50 GPa, modulus of rigidity is 30 GPa and Poisson's ratio is 0.25.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept :
The relation between E, K, and μ
E = 2G (1 + μ)
E = 3K (1 - 2μ)
\({\rm{E}} = \frac{{9{\rm{KG}}}}{{3{\rm{K}} + {\rm{G}}}}\)
Where,
E = Young's Modulus of Rigidity = Stress / strain
G = Shear Modulus or Modulus of rigidity = Shear stress / Shear strain = 30 GPa
μ = Poisson’s ratio = - lateral strain / longitudinal strain
K = Bulk Modulus of elasticity = Volumetric stress / Volumetric strain = 50 GPa
Calculation:
\({\rm{E}} = \frac{{9{\rm{KG}}}}{{3{\rm{K}} + {\rm{G}}}}\)
\({\rm{E}} = \frac{{9{\rm{\times 50 \times 30}}}}{{3{\rm{\times 50}} + {\rm{30}}}}\)
E = 75 GPa
Last updated on May 28, 2025
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