Using the Larson-Miller parameter for ductile cast iron as shown in the figure, determine the time in hours required before the metal fails at an applied stress of 6,000 psi and temperatures (a) 400°C and (b) 600°C. (10 points) 20,000 10,000 8,000 6,000 4,000 Stress (psi) 2,000 1,000 30 32 34 36 38 40 42 $T(K)$ Larson-Miller parameter $\frac{T}{1000} (36 + 0.78 \ln t)$
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The LMP is calculated using the formula: \(LMP = T(C + \log_{10}(t))\), where \(T\) is the temperature in Kelvin, \(t\) is the time to failure in hours, and \(C\) is a material constant. Show more…
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Using the Larson-Miller data for the S-590 alloy shown in Figure Q1, predict the time to rupture for a component that is subjected to a stress of 140 MPa (20,000 psi) at 800 °C (1073 K). (5 Marks) 10^3 T(20 + log t_r)(°R-h) 25 30 35 40 45 50 1000 100 Stress (MPa) 100 Stress (10^3 psi) 10 10 12 16 20 24 28 10^3 T(20 + log t_r)(K-h)
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(a) Using Figure 8.31, compute the rupture lifetime for an $S-590$ alloy that is exposed to a tensile stress of $400 \mathrm{MPa}$ at $815^{\circ} \mathrm{C}$. (b) Compare this value to the one determined from the Larson-Miller plot of Figure $8.33$, which is for this same S-590 alloy.
4.3 Determine the diameter of a ductile steel bar (Fig 4.15) if the tensile load F is 35,000 N and the torsional moment T is 1800 Nm. Use a factor of safety N = 1.5. E = 207 x 10^6 kPa (2.1 x 10^6 kgf/cm^2) and sigma_yp is 207,000 kPa (2100 kgf/cm^2). Use the maximum shear stress theory. [Ans. d = 4.1 cm] Fig. 4.15 Problem 4.3
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