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- Give example of solid bars behave as springs under the influence of a force.For a piece of copper alloy, a standard stress test was applied to it, the following data was collected, from which a stress-strain diagram must be generated, where as data it is known that the initial diameter of the element is 0.505in. The analysis must include the following: 1.Modulus of Elasticity and modulus of resilience. 2.Percentage of elongation. 3.Percentage of area reduction. 4.Real and engineering stress at fracture. It is known that after the specimen fractures, its dimensions in terms of length and diameter are 3.014 and 0.374in, respectively.a)Draw the stress-strain curve of a ductile material such as that of a ductile steel and discuss the various regions of the curve. Explain the difference between a ductile and brittle material and the concept of ductility and its measurement. b)A machine part 10 mm thick, having the dimensions shown in the figure, is to be subjected to cyclic loading. If the maximum stress is limited to 60 MPa, determine the allowable force P. Approximate the stress concentration factors form the graph given. Where might a potential fracture occur?
- Experiments were conducted in a tension testing machine to evaluate the material properties of two metallic rods both having diameter equal to 10 mm. First rod having modulus of rigidity of the material equal to 400 tonnes/cm2 when subjected to an axial tensile force of 6 kN, the change in its diameter was observed to be 0.0018 cm. The value for the bulk modulus of the second metallic rod is same as that of the first one but modulus of elasticity 18% more. Based on the material properties calculate and compare the values of different moduli as well as Poisson’s ratio for both metallic rods. Justify your answer with reasons.Please show a clear step-by-step solution. Thank you! What is the proportion of the alteration in length for Spring A to Spring B, supposing that both springs carry an equal amount of load? Springs A and B have the identical qualities, with the exception that Spring A has 12 times the number of turns as Spring B.A ceramic with KIc = 4 MPa m1/2 contains pores with radius a = 5 µm due to incomplete sintering. These pores lead to a decrease in the failure stress of the material in both tension and compression. One in every ten grainboundary junctions contains a void; the grain size of the ceramic is 50 µm. The ceramic fails in compression when the length ℓ of each crack generated at the voids equals one-half of the spacing between the voids. (a) Determine the compression strength of the ceramic, using the equation from Sammis and Ashby. (b) Determine the tensile strength of the ceramic, assuming flaws with size a.
- To manufacture a piston with a circular cross section, an alloy steel bar is required whose length is fixed and has a value of 35 cm and must withstand a compression load of 5.2 tons. For its design, a safety factor of 4/5 is suggested with respect to the yield stress. The shear modulus for that alloy is 80 GPa.To know the resistance of this steel alloy, a compression test was carried out on a specimen of the same material, from this test the data table of stress against engineering deformation shown was obtained. Image 1 1) Calculate the increase in the diameter of the bar when the load is applied2) Define the Poisson's ratio and calculate its valueFrom the work of D. C. Jillson, Trans. AIME 188, 1129 (1950), the following data were taken relating to the deformation of zinc single crystals. The crystals have a normal cross-sectional area of 122 x 10-6 m2. ϕ = angle between loading axis and normal to slip plane λ = angle between loading axis and slip direction F = force acting on crystal when yielding begins a. Identify the slip system for this material. b. Calculate the resolved shear τRSS and normal σn stresses acting onthe slip plane when yielding begins. c. From your calculations, does τRSS or σn control yielding? d. Plot the Schmid factor versus the normal stress P/ A0 acting on the rod. At what Schmid factor value are these experimentally-measured yield loads at a minimum? Does this make sense?When an object is placed underwater, the pressure on the object is subjected to uniform stress on all sides. a) define volume strain, the bulk modulus, compressibility, and the relationship between the bulk modulus and compressibility. b) A 100 litre volume of liquid is subjected to a 2000 psi increase. If the compressibility of the liquid is 5 x 10-5 per atm, find the bulk strain and absolute decrease in the volume of the liquid c) explain the concepts of shear stress and shear strain? could these concepts be applied to the fluid problem above?
- derive the generalized hook's law for an isotropic homogeneous elastic solid in terms of lame's constatsIn analysis of an aluminum-zinc alloy, the mass of gelatin capsule is 0.1192g, mass of alloy is 0.2634g, mass of empty Beaker is 168.2449, mass of Beaker + Water is 272.5682g, the temperature of water is 22 degrees Celsius, the vapor pressure of water from table 1 is 19.827 mm Hg, Calculate mass of alloy sample.When a statically determinate structure is heated or cooled, its members do not experience any“thermal” stress. But for a statically indeterminate structure, this is not true. Explain why.