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A tubular aluminium bar (G=28GPa) of square cross section with outer dimensions 50mm x 50mm must resist a torque T=300Nm. Calculate the minimum required wall thickness t_min if allowbale shear stres
A plane truss has joint loads P, 2P, and 3P at joints D, C and B, respectively where load variable P=23kN. All members have two end plates which are pin-connected to gusset plates.
Find the differential equation governing the motion of the diver while she is in contact with the board. Neglect any rotational inertia and what is the peak de?ection of the diving board?
The aerodynamic drag of a new sports car is to be predicted at a speed of 50mph at an air temperature of 25 degrees Celcius. Automotive engineers build a one-fifth scale model of the car to test in
A two-dimensional incompressible flow field is defined by the velocity components u=2V(x/L-y/L) and v=-2V(y/L). where V and L are constants. If they exist, Find the stream function and velocity pot
two 500 ml samples were completely mixed together the first sample contained 0.002 M Na2CO3 while the second contained 0.004 N NaOH. what volume of 0.02 N sulfuric acid would need to be added to neut
The knowledge of the geological and geotechnical characteristics of the subsoil is a basic step, fundamental to the development of any type of research, evaluation, study or project in the areas of
A section of highway has a speed-flow relationship of the form "q = au^2 + bu" It is known that at capacity (which is 3100 veh/hr) the space mean speed of traffic is 28mi/hr.
Estimate the liquid volume of an aeration tank (units of m^-3) required to treat the following wastewater to a BOD effluent standard of 30.0 mg L^-1 and a suspended solids effluent standard of 30 mg
A sprinter runs using a force of 200 N and a power output of 600 W. Calculate how many minutes it takes for the runner to run 1 km.
Assume the microorganisms are 55 percent efficient at converting food to biomass, the organisms have a first-order death rate constant of 0.05/day, and the microbes reach half of their maximum growt
A wastewater treatment plant has a flow of 35,000 m3/day. Calculate the mass of sludge wasted each day (QwXw, expressed in kg/day) for an activated-sludge system operated at a solids retention time
Determine the actual detention time observed in the field of two circular settling tanks with depth 3.5 m that was designed to have an overflow rate not exceeding 60 m3/m2-day and a detention time o
A car dealership offers $2000 cash back; financing at 3.49% APR for 60 months or 0% APR for 60 months when you purchase a car. What is the break even point and when would it be better to choose one
A contractor is considering the purchase of an earthmover to avoid the cost of a rental unit. The earthmover costs $350,000 initially and will cost $7000 per year to store and maintain.
Air flows steadily between two sections in a long, straight portion of 4 in. inside diameter pipe (D1=D2). The uniformly distributed temperature and pressure at each section are p1=100psia, p2=18.4p
The overhang beam has been fabricated with a projected arm BD on it. Draw the internal shear force, bending moment, and normal force diagrams for the beam ABC if it supports a load of 800 lb.
Determine the value and location from point D of the maximum internal bending moment and shear force for the member. Take x = 2 ft. Be sure to draw complete free body diagram(s) for full credit.
One blend that is gaining popularity is E85, which is 85% ethanol and 15% gasoline. E85 is 80% cleaner burning than gasoline alone, and it reduces our dependency on foreign oil. But a flex-fueled ca
Calculate the temperature of "flat world" that has an albedo of 0.31 and a solar flux of 1370 w/m^2. One side of flat world faces the sun. Ignore energy emitted from the edge of flat world.
An agricultural waste lagoon has a total volume of 500 m^3 and has an initial dissolved oxygen (DO) level at the saturation for 20 °C. This waste lagoon receives a discharge of 1,750 L of runoff
A simple steam power plant operates at steady state with water circulating through the components with a mass flow rate of 100 kg/s. Stray heat transfer, kinetic energy and potential energy effects
Drawdown at a 0.20 m diameter, fully penetrating well, which has been pumping at the rate of 1000 m^3/day for a long enough time that steady state conditions have been reached, is determined to be 0
An activated sludge system operates at a flow rate (Q) of 400 m3/day with an incoming BOD (So) of 300 mg/L. Throughout pilot plant work, the kinetic constants for this system are determined to be Y