A force of 100,000 N is applied to an iron bar with a cross-sectional area of 10 mm 3 20 mm and having a yield strength of 400 MPa and a tensile strength of 480 MPa. Determine (a) whether the bar will plastically deform; and (b) whether the bar will experience necking.

Question

Physics

Makenna

22 November, 07:44

A force of 100,000 N is applied to an iron bar with a cross-sectional area of 10 mm 3 20 mm and having a yield strength of 400 MPa and a tensile strength of 480 MPa. Determine (a) whether the bar will plastically deform; and (b) whether the bar will experience necking.

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Answers (1)

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Beckham · Answer 1

Answer:The Cross sectional area is 10mm x 20mm

A) Yes they will plastically deform

B) Yes the bar will experience necking

Explanation:

Calculating for tensile stress = Force/Area = 100000 / (20 x 10) = 500N/mm2. Converting to MPa = 500N/mm2 x 1MPa/1N/mm2 = 500MPa

A) since yield strength of 400MPa is less than obtained stress of 500Mpa, the bar will plastically deform

B) since the tensile strength is less than the obtained stress, the Bar will experience necking