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Interpretation:
Titanium alloy with cylindrical structure has a modulus of elasticity of 107 GPa. The diameter of this alloy is 3.8 mm. It experiences only the deformation of elastic when the 2000 N tensile load is applied to it. The specimen is to be determined for maximum allowable elongation of 0.42 mm.
Concept introduction:
Concept of stress will be used which applied to the given specimen. The formula of stress is given as-
Here,
F = force acting on the material
A = area of material
σ = stress applied to the material
Concept of strain can be used to estimate the elongation in the alloy. The formula is given as-
Here,
e = strain
Δl = change in length due to deformation
l = initial length of material
Concept of modulus of elasticity will be used. The formula elasticity modulus is given as-
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Chapter 6 Solutions
Essentials of Materials Science and Engineering, SI Edition
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