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A 1047 steel plate is subjected to a tensile stress of 120 MPa. Given its fracture toughness is 45 MPa?m and Y = 1, (a) Determine the critical crack length to assure the plate will not fail under static loading. (b) Consider the same plate under the action of cyclic tensile/compressive stresses of 120MPa and -30 MPa, respectively. If the component is to remain safe for 10 million cycles, what is the largest allowable crack length? (c) Compare the two critical crack lengths in (a) and (b), comment on the effect of the type ofloading on critical crack length.
Saturated steam (at 20 bar) is used to heat up a toluene stream from 40oC, 1 bar to 150oC, 1 bar in a heat exchanger. The toluene stream is flowing at a rate of 100 kg/min. Steam leaves the heat exchanger as a saturated liquid at 20 bar.
Find the maximum shearing stress and its location in the shaft and the angle of twist of A with respect to C. Let G = 4x10^6 psi for the entire shaft.
Sketch a streamline, pathline, and streakline, For a given flow the velocity from time t=0 to t=5s was u=2 m/s, v=0. Then from t=5s to t=10s the velocity was u=+3 m/s, v=-4 m/s. A dye streak was started at t=0
If 5 mg of NaOCl are added to one liter of water and the pH is measured to be 7.8, what is the concentration of hypochlorite ion (OCl-) in mg/L
Determine the number of completely mixed bioreactors (detention time of 45 min each) that would be required to meet the phenol discharge limit of 5 mg/L. The first-order removal rate constant is equal to 6.1 hr -1
use zero through forth order taylor series expansions to predict f(2.5) for f(x) = ln x using a base point at x=1. compute the true percent relative error for each approximation. discuss the meaning of the results.
A pre-sedimentation basin has been designed that reduces the river water suspended solids concentration from 500 to 200 mg/L. How many pounds of dry solids does this represent per million gallons of treated water
A discharge meter to be used in a 40 cm pipeline carrying oil (kinematic viscosity = 10-5 m2/s, density = 860 kg/m3) is to be calibrated by means of a model (1/4 scale) carrying water (T = 20°C and standard atmospheric pressure).
A train 552 m long is moving on a straight track with a speed of 88.5 km/h. The engineer applies the brakes at a crossing, and later the last car passes the crossing with a speed of 13.7 km/h.
A cylindrical specimen of a metal alloy is stressed in compression. if its original and final diameters are 40.00mm and 40.10mm respectively, and its final length is 120.00mm, compute its original length (L1) if the deformation is totally elastic.
A two stage crushing operation feeds 0.6 m diameter ore into a primary crusher at a rate of 25mt/hr. 80% of the ore feeds through an 0.2m screen into a secondary crusher. 65% of the ore from the secondary crusher comes out of a 50mm screen.
A rectangular channel of width 12 ft has an upstream slope of 0.02 ft/ft and a downstream slope of 0.0005 ft/ft. Both reaches have lengths of 500 ft. The upstream reach has a Manning's roughness of 0.016 and the downstream reach has a roughness of..
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