A10 cm long bar, measuring 1 cm in diameter is loaded under tension. assuming yield occurs at a load of 500 n, which corresponds to a 0.7% elongation, determine the modulus of resilience of this bar.

Explanation:

Modulus of resilience is the maximum amount of strain that an elastic material can support per unit volume, without deformation, and is calculated using the following equation:

μ = σ^2 ÷ 2*E

σ = yield strain= force / cross area

force = 500N; area=π*=

σ =

E= young modulus: relation between stress and strain, measures stiffness

E=σ/∈, where

∈=(L-Lo)/Lo=7*

where

L=current length = 10 cm * 1.007 = 1.0070* m

Lo=original lenght = 10 cm = 1.0*m

so, E=σ/∈ =

μ = modulus of resilience =

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