Consider a cylindrical metal 6 mm in diameter and 50 mm long is pulled in tension. It is known that yield strength and elastic (Young’s) Modulus of the material are 200 MPa and 100 GPa, respectively, and its Poisson’s Ratio is 0.3. (a) Determine whether the deformation is elastic or plastic when 6000 N is applied. (b) Calculate specimen elongation (∆l) and reduction in diameter (∆d) when 5000 N is applied? What are the values ∆l and ∆d when the load is released? (c) If necking occurs at a load of 8850 N, determine the UTS of the metal.
Consider a cylindrical metal 6 mm in diameter and 50 mm long is pulled in tension. It is known that yield strength and elastic (Young’s) Modulus of the material are 200 MPa and 100 GPa, respectively, and its Poisson’s Ratio is 0.3. (a) Determine whether the deformation is elastic or plastic when 6000 N is applied. (b) Calculate specimen elongation (∆l) and reduction in diameter (∆d) when 5000 N is applied? What are the values ∆l and ∆d when the load is released? (c) If necking occurs at a load of 8850 N, determine the UTS of the metal.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
Consider a cylindrical metal 6 mm in diameter and 50 mm long is
pulled in tension. It is known that yield strength and elastic (Young’s) Modulus of the
material are 200 MPa and 100 GPa, respectively, and its Poisson’s Ratio is 0.3.
(a) Determine whether the deformation is elastic or plastic when 6000 N is applied.
(b) Calculate specimen elongation (∆l) and reduction in diameter (∆d) when 5000 N is
applied? What are the values ∆l and ∆d when the load is released?
(c) If necking occurs at a load of 8850 N, determine the UTS of the metal.
(d) Calculate the ductility in terms of % E.L. if the length of the specimen at fracture
point is 56.0 mm.
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