A cold drawn 1144 Stressproof steel specimen with a diameter of 0.874 in. and a 1.0 in. gage length was tested to fracture. Load and deformation data obtained during the tension test are given in the accompanying table. Determine (a) the modulus of elasticity (b) the proportional limit. (c) the yield strength (0.20% offset). (d) the ultimate strength. (e) the fracture stress. (f) the true fracture stress if the final diameter of the specimen at the location of the fracture was 0.664 in. (g) the percent elongation at fracture. (h) the percent reduction in area. Tension Test of 1144 Steel Load (lb) 0 5497 10686 15637 20599 25113 30253 34892 39589 45405 50410 55583 61290 64432 66808 69762 72845 75285 76700 76938 76333 74049 70631 66441 63531 Answer: (a) E = i (b) Opti Change in Length (in.) 0 0.00031 0.00062 0.00094 0.00125 0.00156 0.00187 0.00218 0.00250 0.00291 0.00333 0.00385 0.00468 0.00728 0.01248 0.02080 0.03120 0.04420 0.06240 0.08060 0.10140 0.11960 0.13780 0.15600 0.16640 (c) 00.2% = i (d) OUTS= (e) afri (f) or=i (g) % Elong = i (h) % Reduction - i ! ksi ! ksi ! ksi ! ksi ! ksi ! ksi % %

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Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.