MSE_2610_HW_4 - MSE 2610 Introduction to the Mechanical...

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MSE 2610 Introduction to the Mechanical Properties of Materials Fall 2008 Homework Assignment #4 Due: 02 October 2008 1.) A true stress vs. true strain curve modeled as the function < < < = ε σ 002 . 0 ) 58 . 3 ( 002 . 0 0 ) 80 ( 3 . 0 GPa GPa The original cross-sectional area has a diameter of 10 mm. a.) What is the ultimate tensile strength of this material? b.) What is the reduced cross-sectional area of the sample at strains of 0.01, 0.05, and 0.1? 2.) An extremely long hollow steel tube has an internal pressure of 1 MPa. The internal pressure is increased to some amount P 2 such that the circumference of the tube increases by 0.06%. The modulus of the material is 200 GPa and the thickness of the tube is 0.5 cm. The thickness of the tube is 1 % of the diameter [Note: This allows for treatment of the problem as a thin-walled tube.] From an uniaxial tension test of the same material, it was found that the steel had a yield strength of 180 MPa. a.)
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This note was uploaded on 12/24/2008 for the course MSE 261 taught by Professor Sass during the Fall '06 term at Cornell University (Engineering School).

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MSE_2610_HW_4 - MSE 2610 Introduction to the Mechanical...

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