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Expert: - 8/10/2011


Question
A steel rod of length 0.8 m has a diameter 25mm for 0.2m of its length and 50mm for the rest. What will be the extension of the rod when it is subject to an axial force of 10kN? Take the modulus of elasticity to be 200 GPa.

Answer
James
It has been a long time since I worked a problem like this.  I assume you calculate the elongation of each section and add them to get total elongation.  Each section sees the same load (10kN) and has the same modulus of elasticity.  Each section has a different length and cross sectional area.  The equation is:

delta L = (FL/AE).  You know the symbols.  You can do the math.
Paul

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Paul Soderman

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38 years as research engineer at NASA

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AIAA, NASA

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B.S. and M.S. Aeronautical Engineering - U. of Washington Graduate work Standford U.

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AIAA Associate Fellow (American Institute of Aeronautics and Astronautics)

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