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On a 20 ft cantilever beam, Load W1=200 or W2=500 or both may be applied at the midpoint B or at the end of the beam C. The bending moment induced at th fixed support A, MA, will depend on the magnitude of the loads at B and C. E1 = MA < 5,000 E2 = 1,000 <= MA < 12,000 E3 = MA {2000, 7000} P(W1 at B) = 0.25 P(W1 at C) = 0.6 P(W2 at B) = 0.3 P(W@ at C) = 0.5 a.) Assuming the position of W1 and W2 are statistically independent, what are the respective probabilities with each of the possible values of MA? b.) Determine the probabilities: E1, E2, E3, E1nE2, E1UE2, E2'
A stratified lake could be idealized as two layers: with 7.0 m of fresh water on top and 10.0 m of cold water (specific gravity = 1.02) on the bottom. What are the pressure heads at the interface and at the bottom of the lake, in terms of water col..
If the difference in weight between the two baskets must greater than 15 lb they will not have the strength to operate the pulley. The King weighs 195 lb, the princess weighs 105 lb, and the prince weighs 90 lb.
The torsional assembly consists of a solid bronze [G = 49 GPa] segment (1) with diameter d1 = 90 mm securely connected at flange B to solid stainless steel [G = 89 GPa] segments (2) and (3), with diameter d = 100 mm.
A constant head permeability test was conducted on a clean sand sample. The diameter and length of the test specimen were 10 cm and 12 cm respectively.
What are the quantitative measures of reliability (discuss measures for hardware, software, personnel, facilities, and data)?
Develop an estimate of the volumetric flow rate of air that will be required for aeration of the mixed liquor in an activated sludge system.For this calculation, assume that the (ultimate) CBOD is 200 mg/L and (ultimate) NBOD is 50 mg/L.
A 600 mm long solid steel shaft is to transmit a torque of 30 N-m, G=90 GPa, diameter 15mm. Determine (a) Maximum shear stress, and (b) Angle of twist (phi) at the end.
The beam ABC of length L has two different moments of inertia (2I in AB, I in BC) and a constant elastic modulus E. It is fixed at point A has a roller support at point B and a load P at C. a. Sketch the deflected shape of this beam.
A pool of benzene is ignited on the floor of a large industrial building. The total area covered by the Kerosene pool is 6 meters square (Note that this is considered a large pool D>0.2 meters). Combustion efficiency is 70%. Estimate the plume mas..
A stainless steel tube with an outside diameter of 65 mm and a wall thickness of 5 mm is used as a compression member. If the axial normal stress in the member must be limited to 180 MPa, determine the maximum load P that the member can support.
Groundwater moves through a sandstone porous media and is driven by a gradient of -0.05 directed at an angle of 60 degree counterclockwise from the x-axis.
calculate the cracking moment (resisting moment) for an unreinforcedconcrete beam that is 10 in. wide, 16 in. high. assume normal weight concrete with 3000 psi = f prime sub c. use the internal couple method and check with the flexure formula.
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