(Solved):
Below given force-extension diagram was generated in a tensile test with a metal wire \( \left(I_{ ...
Below given force-extension diagram was generated in a tensile test with a metal wire \( \left(I_{0}=750 \mathrm{~mm}, d=0.22 \mathrm{~mm}\right) \) : fc a) Please determine the Young's modulus of the wire. (4 P) b) Which of the following properties of the wire is characterized by the Young's modulus ? Please highlight with a tick. (1 P) - Strength - Stiffness - Hardness - Toughness c) What is the advantage of a stress-strain diagram compared to a forceextension diagram ? Briefly explain. (2 P) d) What in general is meant by \( \sigma_{\mathrm{y} 0.2} \) ? Please determine \( \sigma_{\mathrm{y} 0.2} \) in above diagram and explain, why a determination of \( \sigma_{\mathrm{y} 0.2} \) for the given material is useful. (6 P) e) What can be said about tensile strength and fracture strength of the wire according to above shown test? (2 P)
(a) Young modulus = Stress/strain upto proportional limit = (15 * 4/? * 0.22²)/(2.5/750) = 118.379 GPa (b) Stiffness is increased because Stiffness = A E/L (c) Stress strain diagram shows various material properties on the graph itself like ulti