A tensile test was performed on a metal specimen having a circular cross section with a diameter of
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- The stress-strain relationship shown in Figure P1.13 was obtained during the tensile test of an aluminum alloy specimen. Determine the following: a. Young's modulus within the linear portion b. Tangent modulus at a stress of 310 MPa c. Yield stress using an offset of 0.002 strain d. If the yield stress in part c is considered failure stress, what is the maximum working stress to be applied to this material if a factor of safety of 1.5 is used? 450 300 150 0.002 0.004 0.006 0.008 Strain, m/m FIGURE P1.13 Stress, MPaarrow_forwardA tensile test was performed on a metal specimen having a circular cross section with a diameter of 1/2 inch. the gage lenght ( the lenght over which the elongation is measured ) is 2 inches. for a load 13.5 kips, the elongation was 4.66x10^-3 inches. if the load is assumed to be with in the linear elastic range of the material , determine the modulus of elasticityarrow_forwardShow steps, final answer is suppose to be -1.877x10^6 Nmmarrow_forward
- A brass alloy rod having a cross sectional area of 0.24 in.2and a modulus of 16 * 106 psi is subjected to a tensile load. Plastic deformation was observed to begin at a load of 8,944 lb.a. Determine the maximum stress that can be applied without plastic deformation.b. If the maximum length to which a specimen may be stretched without causing plastic deformation is 3.28 in., what is the original specimen length?arrow_forwardConsider a cylindrical specimen of a steel alloy (Please see the figure) 0.33 in. in diameter and 3.15 inches long that is pulled in tension. given:-Elongation is 0.018 in-Tensile stress = 200 ksi -Tensile strain = 6.83*10^-3 -Ultimate stress = 281.82 ksi -Ultimate strain = 0.05solve: Fracture point (stress and strain values)arrow_forwardA tension test performed on a metal specimen to fracture produced the stress- strain relationship shown in Figure P1.14. Graphically determine the following (show units and all work): a. Modulus of elasticity within the linear portion. b. Yield stress at an offset strain of 0.002 in./in. c. Yield stress at an extension strain of 0.005 in/in. d. Secant modulus at a stress of 525MPA.arrow_forward
- The stress–strain relation shown in Figure was obtained during the tensile test of an aluminum alloy specimen. Determine the Yield stress using an offset of 0.002 strain.arrow_forwardIn a tensile test for an aluminum alloy, the sample used is 2 inches long and 0.5 inches in diameter. The proportional portion of the tension stress-strain diagram for an aluminum alloy is shown below. Determine the modulus of elasticity for this material: ____x106 lb/in2. Pay attention to units and calculate your answer to 1 decimal place for the unit specified above.arrow_forwardA tension test performed on a metal specimen to fracture produced the stress– strain relationship shown in Figure P1.14. Graphically determine the following (show units and all work): a. Modulus of elasticity within the linear portion. b. Yield stress at an offset strain of 0.002 m/m. c. Yield stress at an extension strain of 0.005 m/m. d. Secant modulus at a stress of 525 MPa. e. Tangent modulus at a stress of 525 MPa.arrow_forward
- A steel alloy specimen having a rectangular cross section of dimensions 19.1 mm x 3.1 mm (0.7520 in. × 0.1220 in.) has the stress-strain behavior shown in the Animated Figure 6.22b. If this specimen is subjected to a tensile force of 98290 N (22100 Ib;) then (a) Determine the amount of elastic strain induced. (b) Determine the amount of plastic strain induced. (c) If its original length is 610 mm, what will be its final length after this force is applied and then released? The elastic modulus for steel is 207 GPa. (a) i (b) i (c) i mmarrow_forwardThe strain rosette shown in the figure was used to obtain the following normal strain data on a piece of aluminum. The plate has a modulus of elasticity of 10,000 ksi and a Poisson’s Ratio of 0.35. The strain readings were εa = 600 με, εb = 900 με, and εc = 120 με. Note: 1 με = 1 X 10-6 in/in. a) Calculate the normal strain in the x- and y- directions (εx and εy) and the shear strain (γxy) using a system of equations. b) Calculate the normal stress σx in ksi. Clearly indicate Tension (T) or Compression (C). Note: even though the normal stress in the z-direction is zero, but the normal strain in the z-direction is NOT zero. [Ans. to Check σx = 7.18 ksi (T)] c) Calculate the normal stress σy in ksi. Clearly indicate Tension (T) or Compression (C). d) Calculate the shear stress τxy in ksi.arrow_forward1.16 The stress-strain relationship shown in Figure P1.16 was obtained during the tensile test of an aluminum alloy specimen. 60,000 H Stress, psi 40,000 20,000 0 Figure P1.16 0.002 0.004 0.006 0.008 Strain, in./in. Determine the following: a. Young's modulus within the linear portion. b. Tangent modulus at a stress of 45,000 psi c. Yield stress using an offset of 0.002 strain d. If the yield stress in part c is considered failure stress, what is the maximum working stress to be applied to this material if a factor of safety of 1.5 is used? 4arrow_forward
- Steel Design (Activate Learning with these NEW ti...Civil EngineeringISBN:9781337094740Author:Segui, William T.Publisher:Cengage Learning