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Question 15

An experiment is performed to investigate the tensile elongation of a structural tendon under load. The axial elongation xxx of the tendon when a tensioning force PPP is applied is given by the relation:

x=γPE x = \frac{\gamma P}{E} x=EγP​

where EEE is the Young modulus of the material of the tendon and γ\gammaγ is a structural coefficient of the tendon assembly. A graph of axial elongation xxx (in mm\text{mm}mm) against the applied tensioning force PPP (in kN\text{kN}kN) yields a straight line through the origin. From the line of best fit, a force of P=75.0 kNP = 75.0\text{ kN}P=75.0 kN corresponds to an axial elongation of x=1.50 mmx = 1.50\text{ mm}x=1.50 mm. Given that the Young modulus of the tendon's material is E=120 GPaE = 120\text{ GPa}E=120 GPa, deduce the order of magnitude of γ\gammaγ in m−1\text{m}^{-1}m−1.

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Materials Questions

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