The plate is deformed into the dashed shape as shown. If in this deformed shape, the horizontal lines on the plate remain horizontal and do not change their length, determine the average normal strain along the side AB L = 303 mm a = 3 mm b = 6 mm B 00 1 A Y B' с D a C' b 300 mm NOTE: Answer in THREE SIGNIFICANT DIGITS (not 3 decimal places) (i.e 0.000123, 0.123, 0.00000123, 1.23) Do NOT include the units
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- The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2011in.2 in area and a gage length (the length over which the elongation is measured) of 2.000 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. Determine the modulus of elasticity from the slope of the linear portion of the curve. d. Estimate the value of the proportional limit. e. Use the 0.2 offset method to determine the yield stress.A tensile test was performed on a metal specimen having a circular cross section with a diameter 0. 510 inch. For each increment of load applied, the strain was directly determined by means of a strain gage attached to the specimen. The results are, shown in Table: 1.5.1. a. Prepare a table of stress and strain. b. Plot these data to obtain a stress-strain curve. Do not connect the data points; draw a best-fit straight line through them. c. Determine the modulus of elasticity as the slope of the best-fit line.o (ksi) e (in./in.) 33.2 0.0006 45.5 0.0010 49.4 0.0014 51.5 0.0018 53.4 0.0022 Data taken from a stress-strain test for a ceramic are given in the table. The curve is linear between the origin and the first point. Determine the modulus of elasticity and the modulus of resilience.
- Data taken from a stress-strain test for a brittle alloy are given in the table. The curve is linear between the origin and the first point. o (ksi) e (in./in.) 0 0 44.8 0.0008 54.0 0.0013 57.5 0.0017 59.5 0.0021 60.0 0.0023 Part A Determine approximately the modulus of toughness. The rupture stress is o, 30.0 ksi. Express your answer in inch-pounds per cubic inch as an integer. VAE Ivec U Submit Provide Feedback Request Answer in-lb/in³Data taken from a stress-strain test for a brittle alloy are given in the table. The curve is linear between the origin and the first point o (ksi) e (in. /in.) 0 0 34.3 0.0008 43.5 0.0013 47.0 0.0017 49.0 0.0021 49.5 0.0023 Part A Determine approximately the modulus of toughness The rupture stress is a, - 300 ksi Express your answer in inch-pounds per cubic inch as an integer. Η ΑΣΦ/ 1410.495 vec Submit Previous Answers Request Answer * Incorrect; Try Again; 3 attempts remaining ? in-lb/in³The (G-E) diagram obtained in the tensile test performed on a metal sample with a diameter of 16 mm is as follows. The loads at points A, B and C and the elongation measured on l. 16 cm gauge length were determined as follows: B A B C Load (kgf) 4800 8400 7200 Elongation (mm) 0.192 28.8 38.4 a) Calculate the proportionality limit, modulus of elasticity, tensile strength, maximum uniform elongation, and contraction-elongation ratio of the metal. b) Since the measured diameter of the metal at break is 12 mm, find the constriction ratio and the actual stress at break.
- The thin square plate shown is uniformly deformed such that €, = +1445 pE, E, = -674 uE, and y,y = +1260 urad. Determine the normal strain e, in the plate. 60 mm O -157 µE O -309 µE O -198 HE O -244 µE O -256 HEA 19-mm reinforcing steel bar and a gauge length of 75 mm was subjected to ten- sion, with the results shown in Table P3.27. Using a computer spreadsheet pro- gram, plot the stress-strain relationship. From the graph, determine the Young's modulus of the steel and the deformation corresponding to a 150-kN load. TABLE P3.27 Load, kN Deformation, mm 54 0.084 163 0.168 284 0.336 330 1.428 366 3.360A steel bar, whose cross section is 0.60 inch by 4.10 inches, was tested in tension. An axial load of P = 31,025 lb. produced a deformation of 0.115 inch over a gauge length of 2.10 inches and a decrease of 0.0080 inch in the 0.60-inch thickness of the bar. a. Determine the lateral strain. b. Determine the axial strain. c. Determine the Poisson’s ratio v. d. Determine the decrease in the 4.05-in. cross-sectional dimension (in inches).
- The plastic distorts as shown by the dashed lines. (Figure 1) The dimensions are L= 460 mm H =310 mm di =2 mm, d2 =5 mm, dz = 15 mm, d4 =8 mm, d; =2 mm, and de = 5 mm. Part A Determine the shear strain Yry at corner C. Express your answer to three significant figures and include appropriate units. (yc)zy = Value Units igure Submit Request Answer dz Part B B Determine the shear strain yzy at corner D. Express your answer to three significant figures and include appropriate units. H HA ? D Value UnitsQuestion One (Compulsory) The following results were obtained during a tensile testing of a highiy ductile bronze specimen: Stress 249 (MPa) Strain 0.001 0.024 0.035 0.041 0.049 0.059 0.074 0.14 498 746 870 995 1119 1244 1368 1493 1552 1552 14 0.43 0.63 0.8 0.9 (B: The original diameter of the test piece was 15 mm and the gauge length was 75 mm. The diameter a fracture was 12.5 mm. Using the graph paper provided, carry out the following: i. Plot the engineering stress - strain diagram ii. Determine the maximum stress on the specimen ii. Calculate the force at ultimate tensile strength point iv. Determine the yield strength Calculate the % elongation V. vi. Calculate the true stress and true strain at fracture point.A tensile test was performed on a metal specimen with a diameter of 1⁄2 inch and a gage length (the length over which the elongation is measured) of 4 inches. The data were plotted on a load-displacement graph, P vs. ∆L. A best-fit line was drawn through the points, and the slope of the straight-line portion was calculated to be P y∆L 5 1392 kips yin. What is the modulus of elasticity?