A 200mm steel tensilestress sample experienced a strain 0.014 at a load of 457MP

Question

A 200mm steel tensilestress sample experienced a strain 0.014
at a load of 457MPa. Application of additional load caused the
sample to plastically deform.
•What was the length of the sample at the load of 457MPa?
•What is the Stiffness of the material?
(Show all calculations)

QuestionDetails:

A 200mm steel tensilestress sample experienced a strain 0.014
at a load of 457MPa. Application of additional load caused the
sample to plastically deform.
•What was the length of the sample at the load of 457MPa?
•What is the Stiffness of the material?
(Show all calculations)

Explanation / Answer

This is a stragiht foward problem, Please Rate Here is whats given: Use the equation for strain to find the length: = Lf - L0 /L0 = Strain = .014 mm / mm L0 = initial length = 200 mm Lf = final length Now solve for Lf : Lf = L0 + L0 =(.014)(200) + 200 = 202.8mm Part B is a lttle tricky Part B is a lttle tricky Now for stiffness, the stiffness of a material is indicated bythe modulus of elasticity or Young's modulus. Use Hookes Lawfor this relationship: = E = Stress = Strain E = young's modululs Solve for E: E = / = (357 MPa) / (.014 mm / mm) = 32643MPa = 25.8 GPa Hope this helps you... Hope this helps you...

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