4. For a state of biaxial strain (ε biax) in a linear-elastic isotropic material, what are the corresponding stresses? How would this change if the Poisson's ratio was zero? Briefly explain why. Assume standard material constants E, v, λ, etc. Γε Ebiax=0 01 bod 000 0 LO 0 0
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- - 7.2-26 The strains on the surface of an experiment al device made of pure aluminum (E = 70 GPa. v = 0.33) and tested in a space shuttle were measured by means of strain gages. The gages were oriented as shown in the figure. and the measured strains were = 1100 X 106, h = 1496 X 10.6, and = 39.44 X l0_. What is the stress o in the x direction?A cylindrical specimen of aluminum is pulled in tension. Use the stress v. strain plot below for this specimen of Al to answer parts (a) - (f). Hint: Each strain increment is 0.004. Be sure to include your engineering problem solving method per the class rubric. 400 350 300 250 Stress (MPa) 200 150 100 50 Aluminum (Stress v. Strain) 0 0 0.02 0.04 0.06 0.08 Strain 0.1 0.12 0.14 0.16 a. Compute the modulus of elasticity. b. Determine the yield strength at a strain offset of 0.002. c. Determine the tensile strength of this metal. d. Compute the ductility in percent elongation. e. Compute the modulus of resilience. f. Determine the elastic strain recovery for an unloaded stress of 340 MPa.On the free surface of a component, a strain rosette was used to obtain the following normal strain data: €a = 300µɛ, ɛp = 400µs, and Ec = 200µe. Calculate the normal and shear strains in the x-y plane.
- Consider the following strain state: [0.0016 0.0003 [0] = 0.0003 0.0008 0 0 0 0 0.0004] a. Determine the strain matrix for this strain state if the axes are rotated 30° counterclockwise around z-axis. b. Plot Mohr's circle for this strain state.The diameter (d) of a solid rod (i.e., with a circular cross-section) is 16 mm and is made from a homogeneous material. The length (L) of the rod is 1.75 m and Young’s Modulus for the material (E) is 250 GPa. When the rod is placed under tension it experiences deformation and a stress (?) of 650 MPa. Calculate the following:(1) Strain energy (U) to 2 decimal places in Joules.(2) Strain energy per unit volume (U/V) in J/m3(3) The change in length ∆L to 2 decimal places in mm.(4) The strain (?) due to deformation to 2 significant figures. (show all work)Problem 4 The attached figure shows, for a gray cast iron, the tensile engineering stress-strain curve in the elastic region. Determine (a) the tangent modulus at 25 MPa and (b) the secant modulus taken to 35 MPa. Stress (MPa) 60 50 40 30 20 10 0.0002 0.0004 Strain 0.0006 T 8 6 ★ 2 0.0008 Stress (10³ psi)
- Need help with Mechanics of Materials reviewPlease solve last 2 subpartsThe piece of plastic is originally rectangular. Suppose that aaa = 270 mmmm and bbb = 440 mmmm . (Figure 1) Figure 1 of 1 Part A Determine the magnitude of the shear strain γxyγxy at corner DD if the plastic distorts as shown by the dashed lines
- Only part e, please.A body is subjected to uniaxial tensile stress of 20 MPa in the y-direction as well as a temperature decrease of 10 degrees K. The material's elastic modulus is 90 GPa, the Poisson's ratio is 0.20, and the coefficient of thermal expansion is 12E-6 per degree K. What are the normal strains in the x, y, and z directions (microstrain units) ? Exx –102, ɛyy = 51, Ezz 82 -164, ɛ yy -164, Exx %3D Ezz -164 -164, E yy 102, Exx = Ezz = -164 164, E yy - -102, ExxThat answer is wrong please give right answers