02-02ChapGere.0003

# 02-02ChapGere.0003 - 82 A-PDF Axially Loaded Members...

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Problem 2.3-11 A flat bar of rectangular cross section, length L , and constant thickness t is subjected to tension by forces P (see figure). The width of the bar varies linearly from b 1 at the smaller end to b 2 at the larger end. Assume that the angle of taper is small. (a) Derive the following formula for the elongation of the bar: d 5 } Et ( b P 2 L 2 b 1 ) } ln } b b 2 1 } (b) Calculate the elongation, assuming L 5 5 ft, t 5 1.0 in., P 5 25 k, b 1 5 4.0 in., b 2 5 6.0 in., and E 5 30 3 10 6 psi. 82 CHAPTER 2 Axially Loaded Members P P t b 1 b 2 L Solution 2.3-11 Tapered bar (rectangular cross section) P dx x P L 0 L 0 b 1 bb 2 t 5 thickness (constant) (Eq. 1) (a) E LONGATION OF THE BAR (Eq. 2) 5 PL 0 Eb 1 t ln x u L 0 L 0 1 L 5 PL 0 Eb 1 t ln L 0 1 L L 0 d 5 # L 0 1 L L 0 d d 5 PL 0 Eb 1 t
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## This note was uploaded on 09/20/2009 for the course COE 3001 taught by Professor Armanios during the Spring '08 term at Georgia Institute of Technology.

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