(b) Explain why in a stress versus strain curve, the plastic portion of the graph after necking tends to drop (ie the force drops) despite that the tension is increasing.
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- A tensile test was conducted on a mild steel bar. The diameter and the gauge length of the bar were 3cm and 20cm respectively. The extension was 0.21mm. What is the value of strain?QUESTION ONE (a) Distinguish between physical and mechanical properties of materials. Give two examples of each. (b) Explain why in a stress versus strain curve, the plastic portion of the graph after necking tends to drop (ie the force drops) despite that the tension is increasing. (c) A tensile test uses a copper test specimen that has a gauge length of 80 mm and a di.ameter of 16 mm. During the test, the specimen yields under a load of 9,600 N. The corresponding gauge length is 80.24 mm. The maximum load reached is 148,000 N at a gauge length of 94.2 mm, while fracture happens at a load of 12,800 N and a gauge length of 102 6 mm Determine the following: (i) Modulus of elasticity E (ii) Yield strength Oy (iii) Fracture strength, ơt (iv) Tensile strength OTs. 1Draw a typical stress vs strain tensile test curve for the following materials (two seperate graphs) and label the axis. A ductile metallic test specimen that is stretched to failure displaying a characteristic yield point and show the following parts on the curve. 1- Yield point 2- Ultimate Tensile Strength 3- Breaking point 4- Elastic Region 5- Plastic Region 6- Necking region
- A tensile test was performed on a metal specimen with a diameter of 1/2 inch and a gage length (the length over which the elongation is meas- ured) of 4 inches. The data were plotted on a load-displacement graph, P vs. AL. A best-fit line was drawn through the points, and the slope of the straight-line portion was calculated to be P/AL = 1392 kips/in. What is the modulus of elasticity? BIQuestion 2 In designing prosthetic sockets, the latter will need to be experimentally tested for their structural integrity. Figure 2 shows one such design of a prosthetic socket which is made of carbon fibre composite. Strain gauges are installed to record the strains at various locations of the legs during walking and the readings are recorded using a telemetry system to detemine the critical stressed area. At a particular strain gauge location indicated in Figure 2, the readings recorded by one of the 45° strain gauge rosettes are: Ea = 2500 x 10*, es = 1500 x 10°, & = -950 x 10* Using Mohr's Cicle or otherwise, detemine: (a) the principal strains and the direction of the maximum principal strain relative to the gauge "a". (b) the corresponding principal stresses and sketch the results on a properly oriented element. You may assume that the prosthetic socket is made of polypropylene whose Young's modulus of 1.0 GPa and Poisson ratio of 0.3. Figure 2The following data were obtained from the tensile test of Aluminum alloy. The initial diameter of testspecimen was 0.505 inch and gauge length was 2.0 inch. Plot the stress strain diagram and determine(a) Proportional Limit (b) Modulus of Elasticity (c) Yield Stress at 0.2% offset (d) Ultimate Stress and(e) Nominal Rupture Stress.
- A 11 in. inner diameter, 0.35 " wall thickness pipe is under a pressure of 2.5 ksi where strain gages installed along axial and circumferential directions register strains of 180 and 900 micro-strains (x10^-6), respectively. A) What is the Poisson's Ratio of this material and it's Elastic Modulus? B) In a uniaxial test, the pipe's material is observed to yield at a longitudinal strain of 0.1 in/in. Assuming a factor of safety of 2, the pipe can withstand impact energy of _______ lb - in per foot without suffering permanent deformation. C) If the pipe is depressurized and then subjected to a torque of 50 lblb - ft.ft., it will experience a shear strain of ________ rad.The results of a tensile test are: Diameter of the specimen Gauge length Load at limit of Proportionality Extension at the limit of Proportionality Maximum Load : 10mm :40 mm : 70kN :0.08mm. :100 kN Calculate stress at limit of proportionality and young's modulus.Question A cylindrical specimen of metal having a diameter of 12.88 mm and a gauge length of 63.50 mm is tested using a tensile testing machine. The elongation measurement are recorded in Table 3. nPlot the stress-strain curve on the graph paper provided based on data in Table 3 Based on the stress-strain curved plotted in (i): Compute the modulus of elasticity Determine the yield strength at a strain offset of 0.002. Determine the tensile strength Determine the ductility in percent elongation and percent area reduction Table 3: Load-elongation readings for a metal specimen Jadual 3: Bacaan beban pemanjangan untuk statu spesimen logam) Load (N) Elongation (mm) 1380 0.03 2780 0.06 5630 0.12 7430 0.2 8140 0.25 9870 0.64 12850 1.91 14100 3.18 14340 4.45 13830 5.72 12500 6.99 Fracture
- The following stress-strain curve was prepared based on a tensile test of a specimen that had a circular cross-section. The gage diameter of the specimen was 0.25 inches and the gage length was 4 inches. The stress scale of the stress-strain diagram is given with the factor a = 10 ksi. Estimate: (a) The modulus of elasticity. (b) The ultimate strength. (c) The yield strength (0.2% offset). (d) The percent elongation at fracture. 2013 Michael Swanbom STRESS VS. STRAIN BY NC SA 7a bat Sat 2at at 0.05 STRAIN 0.01 0.04 0.06 0.08 0.02 0.03 0.07 0.09 STRESSGiven the following stress-strain graph:a. is the modulus of elasticity of "A-514" greater, less or equal to the one of "A-572"?b. from the previous question, make an estimatio for both of them, check that the graphic comes in %c. If we were to test these materials in a universal tension equipment, which one would withstand more load?d. If we were to test these materials in a universal tension machine, which one would elongate the most before fracturing? would elongate the most before fracturing? e. Of the 6 materials shown, do any behave as brittle materials? f.The stress-strain data from a tensile test on a cast-iron specimen are € (10-3) 0 0.20 0.44 0.80 1.0 1.5 2.0 26 32 40 46 49 54 NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. 2.8 3.4 4.0 5.0 a (kpsi) 0 5 10 16 19 Determine the tangent modulus, E, at a value of a=0 psi. 106 psl. The tangent modulus, Eis X