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Follow the derivation of the following equations for deflections of a beam, filling in all the required assumptions and steps in the derivations. EIv'' = M EIv''' =V EIv'''' = ?q where v is the deflection of the beam, E is Young's modulus, I is the second moment of inertia of the beam cross section about the neutral axis, M is the moment at a specific location x along the length of the beam, V is the shear force at the same point, and q is the distributed load (force/per unit length) at the same point.
To float a 160 pound man using helium balloons (assume 0.52 cubic feet per inflated balloon). How many balloons would it take? Assume density of air is 1.29 kg/cubic meter and the density of helium is 0.179 kg/cubic meter.
A 3105 Aluminum alloy wire is to be drawn to give a 1-mm diameter wire having a yield strength of 20,000 PSI. assume that there is no friction in the wire drawing process
A new sports car has a drag coefficient of .30 and a frontal area of 21 ft^2, and is traveling at 110 mi/h. How much power is required to overcome aerodynamic drag if p=.002378 slugs/ft^3?
A catheter is a specialised needle intended for long-term insertion into a vein in a patient's arm. Engineers are redesigning them to cause less discomfort and damage. An intravenous chemotherapy system is based on a new catheter design.
You have a beaker filled with coarse sand. The capacity of the beaker is 100cm^3. Next, you add to the beaker 40cm^3 of distilled water, filling the water level exactly to the top of the sand.
The prototype and model will both be in air, if the prototype has a velocity of 500 ft/s and a diameter of 30 ft, what should the velocity for the model be if the model diameter is 2 ft
An intake conduit from a well field used to pump ground water is being designed for a town with a population of 23,000 people. Six years ago the population was 21,500 people. a) assuming deometric growth, calculate the population in 50 years
A mining engineer plans to do hydraulic mining with a high-speedjet of water. a lake is located H=300 m above the mine site Waterwill be delivered through L=900 m of hte fire house with an inside diameter D
The water pressure in the municipal pipeline is 450 kPa, the sum of the local loss coefficients in the building pipes is 11.0, and the flow to be delivered to the top floor at 25 L/s through a 150-mm diameter PVC pipe.
Assume the overall system is at steady-state, theflow rate is 15 L/min, the detention time is the PFR is 1.5 hours,and the decay rate of compound A is defined by a first-order ratereaction (k = 1 h-1).
A beryllium copper wire having diameter of 1-50 mm and length of 40mm is used as a small torsion bar in an instrument. determine what angle of twist would result in the wire when it is stressed to 250 mpa.
Friction of the walker's shoes and rope are sufficient to cause the rope to have more tension on one side then the other. Neglecting the weight and any elastic deformations of the 20.1-m long rope, create a table using 1.0m increment for the range
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