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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 rectangular concrete channel (n=0.015, S_o = 0.005) has a bottom width of 6.0 m and a discharge rate of 25 m^3/s. 1) Compute the normal depth y_n 2) Compute the critical depth y_c 3) Compute the minimum specific energy E_min
The calculation and layout of horizontal and vertical curves should be done only by experienced surveyors and differential leveling measurements
A particular soil has a total (moist) unit weight of 122 pcf and a dry unit weight of 101 pcf. The specific gravity of soil is 2.70. Calculate the water content and degree of saturation.
Many years ago, well-known architect Frank Lloyd Wright designed a mile-high skyscraper, which has never been built.
Steam enters an adiabatic turbine steadily at 3 MPa and 300 *C and leaves at 70 Kpa and 100 *C. If the power output of the turbine is 2 MW, determine a) the isentropic efficiency of the turbine and b) the mass flow rate of the steam flowing throug..
Write the mass balance equation for a plug flow with a second order decaying substance,C. Solve for the steady state concentration of C as a function of the second order rate constant k, longitudinal distance x, mean velocity u, and the concentrat..
If A cross product B = the vector C, calculate the angle "a" between the vectors A and C and between the angle "b" between the vectors B and C.
The guy wires AB and AC are attached to the top of the transmission tower. The tension in cable AB is 8.6 kN. Determine the required tension T in cable AC such that the net effect of the two cables is a downward force at point A.
A square plate of uniform thickness has a side length of 25 cm that hangs vertically from hinges at its top edge, When horizontal jet strikes the plate at its center, the plate is deflected and comes to rest at an angle of 30o to the vertical.
If an 18.9 L (5 gallon) bucket of PCE is released (and equally distributed) into a 3.79x10^8 L (100,000,000-gallon) aquifer, will the PCE standard of 5 microgram/L under the Safe Drinking Water Act be exceeded
To be sure that the part does not fail, we plan to ensure that the maximum applied stress is only one third of the tensile strength. We use a non-destructive test that will detect any internal flaws greater than 1.25 mm long.
Physics two skaters with masses of 65 kg and 45 kg, respectively stand 8.0 m apart each holding one end of a rope.
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