The rectangular plate ABCD undergoes deformation as shown with the dashed lines. Find the average shear strain Yay at A with respect to the x and y axes. The values for the parameters are given here: parameter mm LAB 300 LAD 200 δι 2 бг 5 B y δη C LAB BY NO SA 2021 Cathy Zupke At A Yay = A LAD ↑ 82
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- The state of stress at a point in an engine piston is given in the x-y-z coordinates by: 90 180 [0]=0, MPa = 180 240 yx yy 120 zy Using the matrix transformation law, determine the state of stress at the same point for an element rotated about the x-axis (in the y-z plane) 60° clockwise from its original position. Calculate the stress invariants and write the characteristic equation for the original state of stress, Calculate the deviatoric invariants for the original state of stress, Calculate the principal stresses and the absolute maximum shear stress at the point. What are the stress invariants and the characteristic equation for the transformed state of stress, а. b. С. d. eThe plane stress displacement field for the pure bending problem was given by u = - El v = (vy? + x² - P), where -1The shear stress-shear strain diagram for a material is shown. The bolt used to hold the lap joint is made of this material and has a diameter of 0.35 in. The material has a Poisson's Ratio of 0.2. T (ksi) F T1 G = Values for the figure are given in the following table. Note the figure may not be to scale. Variable T1 Y1 Value 40 ksi 0.003 rad 71 -7 (rad) a. Determine the Shear Modulus of the allow, G. b. Determine the Elastic Modulus of the allow, E. c. Determine the force required to cause the material to yield, F. Round your final answers to 3 significant digits/figures. ksiA circular pipe of internal diameter 30 mm and thickness 4 mm is subjected to a force 30 kN and the elongation was measured as 1 mm. If the length of the pipe is 2 m, find the value of Young's modulus of elasticity and the stress in the pipe. Match each item to a choice: Young's Modulus (GPa) Stress (MPa): Choices: : 140.4 # 47.9 B 56.4 # 120.8 #240.8 8 70.2F1=603N F2 =818N show a detailed solution pleaseThe data illustrated below have been determined while the tension test of the stainless steel sample by amateur engineers. The gage length of the stainless steel sample was 50.8 mm (2.0in.) and, the original diameter of the steel sample was 12.8 mm (0.505in.). Load (Ib) Elongation (in.) Load (Ib) Elongation (in.) 14000 0.020 2 310 0.0022 14400 0.025 4 640 0.0044 14 500 0.060 6950 0.0066 14600 0.080 9 290 0.0088 14800 0.100 11 600 0.0110 14 600 0.120 13000 0.0150 13600 Fracture With the help of Excel, plot the stress-strain diagram for this test conducted, and define the following mechanical properties: a) Young modulus; b) Proportional limit; c) Yield stress @0.2% offset; d) ultimate stress; e) nominal rupture stress.Please derive the weighting factor and Integral point of the Gauss Legendre 3-point formula. w1 = 0.555555555555556, λ1 = -0.774596669 w2 = 0.888888888888889, λ2 = 0 w3 = 0.555555555555556, λ3 = 0.7745966692-8 The stress-strain data from a tensile test on a cast-iron specimen are Engineering stress, MPa 35 70 112 133 182 224 280 332 343 378 5.0 Engineering strain, e • 10 mm/mm 0.20 0.44 0.80 1.0 1.5 2.0 2.8 3.4 4.0 Plot the stress-strain locus and find the 0.1 percent offset yield strength, and the tangent mod- ulus of elasticity at zero stress and at 140 MPa.Determine the equivalent spring stiffness constant of the following spring in series and parallel. 250 N/m 175 N/m ww 80 N/m FQ1- The engineering tensile stress-strain data were obtained for AA6061-T6 aluminum alloy shown: note stress unit is (MPa). 314 294 266 226 287 325 329 337 334 a.(stress) 0 52 159 E.(strain) 0 1.07 1.70 2.23 3.07 4.80 7.13 9.13 11.33 12.97 14.40 16.10 Plot the stress-strain curves then determine the mechanical properties as followings, ay, ou, elastic zone, plastic zone, Young modulus, fracture stress and ductility if you know L - 30 mm, and Lf - 33.7 mm.7. 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. Plot the diagram, and determine the modulus of elasticity and the modulus of resilience. o (ksi) e (in. /in.) 33.2 0.0006 45.5 0.0010 49.4 0.0014 0.0018 0.0022 51.5 53.4asapSEE MORE QUESTIONS