Provide 3-dimensional Equation for Hooks Law for strain and for Shear?
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Provide 3-dimensional Equation for Hooks Law for strain and for Shear?
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- (a) Solve part (a) of the preceding problem if the pressure is 8.5 psi, the diameter is 10 in., the wall thickness is 0,05 in., the modulus of elasticity is 200 psi, and Poisson's ratio is 0.48. (b) If the strain must be limited to 1.01, find the maximum acceptable inflation pressurea) The total strain energy for a bar of length L. is given by the equation 2EA How would the equation change if the bar is tapered as shown in Figure Q4 (a)? Cakulation is not required. Figure Q4 (a) b) The frame ABCD with uniform diameter 40 mm and length L- 500 mm shown in Figure Q4 (b) is in the horizontal (xy) plane. One end of the frame (4) is fixed to a rigid wall and the other end (D) is subjected to a vertical force F-2 kN. Given that the frame is made of a material with E-80 GPa and G-30 GPa. Determine: i) The strain energy stored in the frame member CB (ignore energy due to shear). i) The vertical deflection at point D using Castigliano's second theorem (consider bending effecet only). Figure Q4 (b)At what value of poisson’s ratio young modulus is equivalent to shear modulus?
- Part (1): A 30 ?? square plate is subjected to uniform pressure as shown in Figure.1. The 2D loading stresses are described. If the modulus of elasticity is 200 ??? and the lateral constant (Poisson's ratio ? = 0.3). Estimate the change in length in the vertical, horizontal and diagonal sides as well as determine the volumetric strain. Illustrate the effect of two-dimensionalstrain by constructing appropriate sketches (before and after deformation).Repeat the analysis for lower value of pressure and higher value in the range of [20 -100 MPa] and comment on the overall resultsAt a larger radius the rate of shear strain is 18 s-1 and the consistency coefficient is 0.6 Pa s. Calculate the shear stress.Project 2: 40-mm sides glass polymer fibers composite cube is shown in Figure.1. The Glass polymer fibers aligned in the x direction. The cube is constrained against deformations in the y and z directions and is subjected to a compression load of 65 kN in the x direction. Estimate the strain, change in length and stresses in x,y, and z directions as well as determine the volumetric strain. Illustrate the effect of two and three-dimensions by constructing appropriate sketches. If the cube is only constrained against deformations in the y direction, describe the changes in two and three-dimensions by constructing appropriate sketches. E,= 50 GPa E, = 15.2 GPa v = 0.254 15.2 GPa =0.254 %3D 0.42S
- A 30 ?? square plate is subjected to uniform pressure as shown in Figure.1. The 2D loading stressesare described. If the modulus of elasticity is 200 ??? and the lateral constant (Poisson's ratio ? = 0.3). Estimatethe change in length in the vertical, horizontal and diagonal sides as well as determine the volumetric strain.Illustrate the effect of two-dimensionalstrain by constructing appropriate sketches (before and after deformation).Repeat the analysis for lower value of pressure and higher value in the range of [20 -100 MPa] and comment onthe overall results.Define the term stress trajectory?Please solve this problem with the principle of Strain energy due to direct stresses MODULE IS STRENGTH OF MATERIALS 2
- With a sample in plane strain with a notch, flow states of the tow bar evaluate use the tresca criterion ?Define the term Absolute Maximum Shear Strain?1.2 x 10-in. Undeformed Deformed EXAMPLE: 6. An initially rectangular element of material is deformed as shown in the figure (note that the shearing strain is greatly exaggerated). Calculate the normal strain Ex and Ey, and the shear strain for the element. (Practice at Home) B -1.5 x 10-in. 0.2 in. 0.25 in. 0.7 x 10-in.- L. 1.8 x 10-in.