The results of a tensile test are shown in Table 1.5.2. The test was performed on a metal specimen with a circular cross section. The diameter was
a. Use the data in Table 1.5.2 to produce a table of stress and strain values.
b. Plot the stress-strain data and draw a best-fit curve.
c. Compute the, modulus of elasticity from the initial slope of the curve.
d. Estimate the yield stress.
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- During a tension test, measurements for the applied load and the corresponding elongation are taken at frequent intervals. These data points are then used to: a. calculate the stress caused by the applied load at each data point. b. calculate the strain in the specimen induced by the applied load at each data point. c. plot a stress-strain diagram. d. all of the abovearrow_forward1.5-6 The data shown in the table were obtained from a tensile test of a metal specimen with a diameter of 0.500 inch and a gage length (the length over which the elongation is measured) of 2.00 inches. The specimen was not loaded to failure. a. Generate a table of stress and strain values. b. Plot these values and draw a best-fit line to obtain a stress-strain curve. c. Use the slope of the best-fit line to estimate the modulus of elasticity. Load (kips) PI223 SIN 0 2.5 3.5 10 11.5 12 Elongation (in.) 0 0.0010 0.0014 0.0020 0.0024 0.0036 0.0044 0.0050 0.0060 0.0070 0.0080 0.0120 0.0180arrow_forwardThe tensile test was conducted on a specimen with a diameter of 0.5 inch. A strain gage was bonded to the specimen so that the strain could be obtained directly. The following data were obtained. a) create a table of stress and strain values. Plot this data points and draw the best fit straight line through them. b) what is the slope of this line? What does this value represent?arrow_forward
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- 1.16 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_forward2.31 A uniaxial test was performed on a bone specimen having a central (gauge) region initially 6 mm long and 2 mm in diameter. Five data points were recorded: Axial force (N) 94 190 284 376 440 Change in length (mm) 0.009 0.018 0.027 0.050 0.094 Plot the associated stress-strain relation, calculate a Young's modulus, and show that the yield stress is ~118 MPa. Recall that the yield stress reveals the transition from elastic to plastic (cf. Fig. 2.25). Data from Özkaya and Nordin (1999).arrow_forwardA tensile test specimen having a diameter of 10 mm and a gage length of 50 mm was tested to fracture. The stress-strain curve from the tension test is shown below. The lower plot is the expanded region OAB and associated with the strain values given in the lower scale. Showing your points and construction on graphs and the associated calculations, determine the following quantities. Proportional limit: _____ Rupture stress: _____ Secant modulus at stress level of 420 MPa: _____ Tangent modulus at stress level of 420 MPa: _____ Determine the plastic strain at stress level of 420 MPa: _____ If the shear modulus of the material is 55GPa, determine the Poisson’s ratio assuming the material is isotropic. _____ Determine the axial force acting on the specimen when it is extended by 0.2 mm. _____arrow_forward
- A tension test performed on a metal specimen to fracture produced the stress-strain relationship shown in Figure. 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 62 ksi.e. Tangent modulus at a stress of 65 ksi.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_forwardA tensile test was conducted on a specimen with a diameter of 0.5 in. A strain gage was bonded to the specimen so that the strain could be obtained directly. The following data were obtained: Load (lb) 2000 2500 3000 3500 4000 4500 5000 Strain 0.000047 0.000220 0.000500 0.000950 0.001111 0.001200 0.001702 Create a table of stress and strain values Plot these data point, and draw a best-fit straight line through them What is the slope of this line? What does this value represent?arrow_forward
- Steel Design (Activate Learning with these NEW ti...Civil EngineeringISBN:9781337094740Author:Segui, William T.Publisher:Cengage Learning