natural strain at point B
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- In the case of plane stress, how can the plane-strain analysis be used?For Tialloy. a true stress of 415 MPa produces a plastic tus strain of 0.475 and for the siain-hardening exponent n is 0.25. How much swill an alloyspesimen cloneate when a true sitress of 325 MPa is applied if the original lengtth is 300 mm?For a certain metal the strength coefficient K = 600 MPa and the strain hardening exponent n =0.20. During a forming operation, the final true strain that the metal experiences ε = 0.73.Determine the flow stress at this strain and the average flow stress that the metal experiencedduring the operation.
- For a tensile test it can be shown that the percent cold work (%CW) is related to strain according to the following relationship: %CW=(εε+1) × 100 Using this equation, compute the percent cold work experienced by naval brass (for which the stress-strain behavior is shown in the Animated Figure 6.12) when a stress of 415 MPa (60190 psi) is applied.For a certain metal, the strength coefficient= 700 MPa. A tensile specimen of the metal with gage length = 150 mm is stretched to a length = 207 mm. a) Determine the value of the strain-hardening exponent for the metal that will cause the average flow stress to be 3/4 of the final flow stress after deformation.b) Determine the flow stress at the new length and the average flow stress that the metal has been subjected to during the deformation.can you please find Normal Stress, tangential Stress and Resultant Stress
- Sketch a tensile member with (a) a rectangular crosssection, (b) a solid circular cross section, and (c) a circulartubecross section, and label the dimensions symbolically (e.g.,label the radius for the solid circular case). For each member, write out the definition of engineering stress in terms of the actual dimensions of the component. If therectangular member has dimensions of width and thicknessequal to 1 cm 0.3 cm, what would be the radius of a solidcircular member such that the stress is equal for an equaltensile load? If a tube has an outer radius equal to that ofthis same solid cylinder, what is the maximum inner radiussuch that the stress does not exceed 200% of the stress inthe solid cylinder?Drive the relation of stress transformation.During stress-strain test, the unit deformation at a stress of 35 MPa was observed to be 167 x 10^-6 m/m and at a stress of 140 MPa it was 667 x 10^-6. If the proportional limit was 200 MPa, what is the modulus of Elasticity (GPa)? What is the strain corresponding to a stress of 80 MPa?
- Draw the tensile curves of the following materials, taking into account the appropriate elongation at break, modulus of elasticity and tensile stress, on the side stress-strain graph. a)Low carbon steel (Ecelik=200Gpa),(Syield=300MPa),(Stensile=400MPa) b)High carbon steel (Esteel=200GPa),(Stensile=700MPa) c)Aluminum (Ealuminum=70GPa), (Syield=200MPa),(Stensile=300MPa) d)Cast iron (Ecast iron=120GPa),(Stensile=200MPa)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.280/5000 In the figure, metal blocks are hammered with a hammer of 5 kg mass on the BD rigid table. The yield stress of AB and CD bars with a diameter of 16 mm carrying the plate is σY = 240 MPa. Accordingly, calculate how much the hammer should hit the blocks (E = 200 GPa).