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02-07ChapGere.0011 - 170 A-PDF Axially Loaded Purchase...

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Problem 2.11-6 A rigid bar AB , pinned at end A , is supported by a wire CD and loaded by a force P at end B (see figure). The wire is made of high-strength steel having modulus of elasticity E 210 GPa and yield stress Y 820 MPa. The length of the wire is L 1.0 m and its diameter is d 3 mm. The stress-strain diagram for the steel is defined by the modified power law , as follows: E 0 Y Y E Y n Y (a) Assuming n 0.2, calculate the displacement B at the end of the bar due to the load P . Take values of P from 2.4 kN to 5.6 kN in increments of 0.8 kN. (b) Plot a load-displacement diagram showing P versus B . Solution 2.11-6 Rigid bar supported by a wire 170 CHAPTER 2 Axially Loaded Members P A D C B L b 2 b Wire: E 210 GPa Y 820 MPa L 1.0 m d 3 mm S TRESS - STRAIN DIAGRAM (1) (2) (a) D ISPLACEMENT B AT END OF BAR (3) Obtain e from stress-strain equations: (4) From Eq. (1): e s E (0 s
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