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Question

https://online-s.physics.uiuc.edu/cgi/courses/shell/common/showme.pl?cc/DuPage/phys2111/summer/homework/Ch-12-Equilibrium/stress-strain-dia/stress-strain-2.jpg

The above figure shows the stress-strain curve for a metal you propose to use in a new turbine design.

a) What is the Youngs modulus for this material?

b) What is the yield strength for this material?

c) You have a bar of this material, 2 meters in length. It has a circular cross sectional area with a diameter of 2.9 cm. How much will it stretch if subjected to a force of 1540 N?

Remember: If your answer includes an exponent, you can write it using the "E" format. For example: 3.14 X 10-8 can be written 3.14E-8

Explanation / Answer

a) Youngs modulus E = slope of stress vs strain graph = E+11 N/m2

b) The yield strength or yield point of a material is defined in engineering and materials science as the stress at which a material begins to deform plastically.

From graph it may be around 225 x E+6 N/m2

c) The elongation of an object is d = FL/AE = 1540 x 2/(1.45/100)2 x E+11 = 4.7 x E-5 m. = 0.047mm.

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