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A steel has the following monotonic and cyclic properties: yield strength σy = 1000 MPa, smooth bar fatigue limit, σe = 600 MPa, threshold stress intensity factor range, ?K0 = 6 MPa.
(a) Plot the approximate variation of the threshold stress for no crack growth ?σth as a function of the crack size a for this material. Assume plane strain conditions.
(b) Plot the approximate variation of the threshold stress intensity factor range for no crack growth ?Kth as a function of the crack size a under plane strain conditions
(c) What is the crack size above which characterization of fatigue crack growth using linear elastic fracture mechanics can be justified?
A civil engineer used a 30-m tape in measuring an inclined distance. The measured length on the slope was recorded to be 459.20 m long. The difference in elevation between the initial and the end point was found to be 1.25 m.
Cooling at constant pressure followed by heating at constant volume. Calculate Q, W, change in U, and change in H for each of these processes, and sketch the paths of all processes on a single PV diagram.
The vertical cross-section of the trough parallel to an end is shaped like the graph of y=x6 from x=-1 to x=1 . The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top.
A system consists of liquid oxygen in equilibrium with oxygen vapor. How many phases are present. The system undergoes a process during which some of the liquid is vaporized.
Compute the design strengths of a rectangular beam with bw=15 in, d = 36 in, d'=2.5 in, fy= 60ksi, fc'=4ksi, and at the top of the beam are 4 #8 bars, the bottom has two rows of 4 #10 beams
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A city is considering a 3 stage membrane system to treat brackish groundwater at its water treatment plant, WTP (Qf=1000m^3/d, Cf=2000mg/L TDS). Each stage can perform 60 % water recovery (Qp/Cf) and 90% salt rejection (1-Cp/Cf)
A ferryboat queuing lane holds 40 vehicles. If vehicles are processed (tolls collected) at a uniform deterministic rate of 5 vehicles per minute and processing begins when the lane reaches capacity
Using the ADA code, what is the allowable minimum length of the ramp base if base if it is 2 ft high and the code is 1:12
To visualize and verify fluid properties, characteristics and behavior and to compare with different given fluids
A simply supported composite beam 3m long carries a uniformly distributed load of intensity q=3.0kN/m. the beam is constructed of a wood member, 100mm wide by 150mm deep
Determine the torque that the Titanium Alloy shaft can transmit if the allowable angle of twist is 0.375 RAD. Assume the torque is applied at the end of the shaft. The shaft is 2 meters long and has a diameter of 25 mm.
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