[Elastic deformation after plastic deformation] A cylindrical specimen of a brass alloy has a diameter of d0 and a length of l. The tensile stress–strain behavior for this alloy is shown below.  (1) The specimen is subjected to a tensile force of F1; then, the force is released. Compute the final length of the specimen at this time. (2) The specimen is subjected to a tensile force of F2; then, the force is released. Compute the final length of the specimen at this time. Use d0 = 7.0 mm; l = 90 mm; F1 = 5000N; F2 = 14200N

If the engineering strain in a tensile bar is 0.0025 and Poisson’s ratio is 0.33, find the original length and the original diameter if the length and diameter under load are 2.333 ft. and 1.005 in. respectively.

True stress-strain Engineering stress-strain strain Calculate the engineering ultimate tensile strength of a material whose strength coefficient is 535 MPa and of a tensile-test specimen that necks at a true strain of 0.55. 200 MPa O 267 MPa O 244 MPa O 222 MPa stress

Tutorial 1: Stress and Strain Deformation Analysis Question 1 A compressive force (F) of 10kN is applied to a 25mm diameter round bar. Calculate the stress that the bar experiencing.

Consider a cylindrical specimen of a steel alloy with 8.5 mm diameter and 80 mm long that is pulled in tension. Estimate the following mechanical properties using Fig. 1: a. Modulus of Elasticity and Resilience in MPa and psi b. Ultimate Tensile Strength in MPa and psi c. Fracture Strength in MPa and psi d. Ductility or % elongation at fracture in MPa and psi 2000 10³ psi MPa 300 2000 200 1000 100 0 0.000 0.005 0.010 0.015 Strain 0.020 0.040 0.060 Strain Fig. 1 Engineering Stress-Strain Curve Stress (MPa) 1000 0 0.000 Stress 0.080 300 200 100 0 Stress (10³ psi)

1. Sketch stress-strain curves for the following three materials (mechanically worked tungsten metal, annealed tungsten metal, and tungsten carbide) on the same plot. On each curve, label the following: ultimate compressive strength (UCS), yield stress (YS), modulus of elasticity (E), and rupture stress (RS).

An unknown specimen having a rectangular cross section of dimensions 5 mm × 20 mm isdeformed in tension. Using the load-elongation data shown in the below table, answer thefollowing questions.(d) Determine the tensile strength.(e) Compute the modulus of resilience.(f) What is the ductility, in percent elongation? only d,e,and f

2. A specimen of Mg have a rectangular cross-section of dimensions 3.2mm by 19.1mm is deformed by tension. Using the load-elongation data tabulated below, do the following: Plot the data as engineering stress (in MPa) VS. engineering strain. Determine the elastic modulus Determine the yield strength (using a 0.2% offset method) Determine the tensile strength of the material Compute the modulus of resilience Compute the ductility Load (N) Length(mm) 63.50 1380 63.53 2780 63.56 5630 63.62 7430 63.70 8140 63.75 9870 64.14 12,850 14,100 14,340 13,830 12,500 fracture 65.41 66.68 67.95 69.22 70.49