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Euler original article about the Konigsberg Bridge Problem, which is dated 1736, presents a second similar problem with two islands, four rivers flowing around them, and 15 bridges connecting various land masses, as shown below.
(a) Is it possible to tour the region starting and finishing in the same area having walked over every bridge exactly once? Either describe such a tour or explain why none is possible.
(b) Is it possible to tour the region (with perhaps different starting and stopping points) having walked over every bridge exactly once? Either describe such a tour or explain why none is possible.
A concentrated moment is applied to the free end. Determine the maximum bending stress on the outside surface of the cylinder and the maximum bending stress on the inside surface of the cylinder.
Effective stress is defined as the overburden soil pressure less the buoyancy effect of water. What is the effective stress 20 feet deep if the specific weight of the dry soil is 113 pcf and the water table is 11 feet deep
Determine the uniform flow depth in a rectangular channel 2.5 m wide with a discharge of 3 m3/s. The slope is 0.0004 and Manning's roughness coefficient is 0.015
Write a program that asks for the diameter of two different spheres. Then display to the user, the Maximum, Minimum, and Average volume of the spheres. Display this result in different lines of ONE message box by using VBCRLF.
a wheel barrow is used to lift a 200lb load. the lenght from the wheel axle to the center of the load is 2ft. the length from the wheel and axle to the effort is 5 ft. illustrate and annotate the lever system.
At a specified point on a highway, vehicles are known to arrive according to a poisson process. Vehicles are counted in 20 second intervals, and vehicle counts are taken in 120 of these time intervals.
Base course aggregate has a target dry density of 119.7 lb/cu ft in place. It will be laid down and compacted in a rectangular street repair area of 2000 ft x 48 ft x 6 in. The aggregate in the stockpile contains 3.1 percent moisture.
The salt content of the fresh water is negligible, and the amount of fresh water produced is a small fraction of the seawater used. Determine the second-law efficiency of this plant.
couplings , each with a loss coefficient of k=0.15, are located every 10 m along thehose. the nozzle outlet diamter is d= 25 mm, its minor losscoefficient is k=0.02 based on outlet velocity
What are the advantages and disadvantages of triaxial test in comparison with direct shear test
Calculate the amounts and compositions of phases and constituents of steel composed of iron and 0.10% carbon just above and below the eutectoid isotherm
State the assumptions of Rankine's theory as used in foundation
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