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- View Policies Show Attempt History Current Attempt in Progress The strain components Ex, Ey, and Yxy are given for a point in a body subjected to plane strain. Determine the strain components En Et and Ynt at the point if the n-t axes are rotated with respect to the x-y axes by the amount and in the direction indicated by the angle 8. Sketch the deformed shape of the element. Ex = -1100 μe, y = 490 μE, Yxy = 1500 urad, and 8 = 34° Answer: En Et = Ynt y = Save for Later με με urad n Attempts: 1 of 3 used Submit AnswerA steel section having a cross section of 20 mm x 30 mm is subjected to an axial force of 240 kN. The steel section has produces a strain of 0.002. If it has a value of Poisson's ratio of 0.30. Which of the following gives the bulk modulus of the steel section. a. 133333 MPa b. 166667 MPa c. 111111 MPa d. 144444 MPaStrain = 600 Stress = Strain = 500 Stress = 400 500 300 400 300 200 200 100 100 0.000 0.002 0.004 0.006 Strain 0.00 0.04 0.08 0.12 0.16 0.20 Strain Stress (MPa)
- An aluminum-alloy block (E = 70 GPa) is loaded as shown in the diagram below. The application of this load produces a tensile strain of 500 x 10-6 at A as measured by means of a strain gage. Compute the magnitude of the applied force P and locate the neutral axis. 10 cm 15 cm 30 cm 2.5 cm Gage AThe equation of deformation is derived to be y = x² - xL for a beam shown in the figure. The curvature of the beam at the mid-span (in units, in integer) will be y L XQ.2 The bar is made of an aluminium alloy having a stress-strain diagram that can be approximated by the straight line segment shown. Assuming that this diagram is the same for both tension and compression, determine the moment the bar will support if the maximum strain at the top and bottom fibers of the beam is E max = 0.05. 630 560 420 (MPa) 0.006 0.025 0.05 100mm M € (mm/mm) 75mm
- Show the relationship between axial stress and strain to get the axial deformationErase Figure 9 In using the method of consistent deformation in analysing structures, the compatibility equation has to be written. Why is this necessary?Permanent deformations in structures refer to: A. linear elastic deformations B. deflection diagram C. linear inelastic deformation D. plastic deformation
- The rigid bar is supported by a pin at A and two metal wires, each having a diameter of 4 mm. The stress-strain diagram of the steel is given in the Figure below. The lower graph is the zoomed view of the elastic deformation and yielding phases of the stress-strain diagram given by the upper graph (a) Obtain the Young's modulus of metal. What can you say about the kind of metal considering the Young modulus? If the point G is displaced 1.5 mm in vertical direction, (b) determine the forces at wires EB and DC, (b) the intensity of the distributed load w, (c) the final diameters of wires. (Poisson's ratio is v=0.3) E D σ (MPa) 600 500 800 mm 400 В 300 G 200 100 – 400 mm- – 250 mm- -€ (mm/mm) 0.04 0.08 0.12 0.16 0.20 0.24 0.28 '150 mm' 0 0.0005 0.0010.0015 0.002 0.0025 0.003 0.0035The equation of deformation is derived to be y = x² - xL for a beam shown in the figure. **** The curvature of the beam at the mid-span (in units, in integer) will beQuestion 1: The piece of plastic is originally rectangular. Given LCD and LAD are 400 and 300 mm, respectively. If the plastic distorts as shown by the dashed lines, a) Determine the average normal strain that occurs along CD. b) Determine the average normal strain that occurs along AD. c) Determine the shear strain Yxy at corner C. 2 mm LCD 2 mm D LAD mm B 12 mm 3 mm mm