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Solve the following three questions of the beam ABCD. Note that A is a fixed end; B is a pin connection; C is a roller support; and D is a free end.
1) Draw the quantitative influence line for the vertical support reaction at point A;
2) Determine the maximum vertical support reaction that can be developed at point A in the beam due to: a concentrated moving load of 4kN and a uniform moving load of 2kN/m;
3) Draw the bending moment diagram for the beam ABCD subjected to the loading obtained from 2). (The location and magnitude of the maximum bending moment must be calculated)
A particle is traveling in a straight line at a constant speed of 22.9 m/s. Suddenly, a constant force of 10.7 N acts on it, bringing it to a stop in a distance of 63.6 m.
What is the full capacity of the sewer. At what depths of flow in the pipe are the velocities of flow equal to 0.6 m/s. Assume Mannings constant n = 0.013.
x=1.5t^4-30t^2+5t+10 where x and t are exprerssed in meters and seconds, respectively. Determine the psition, the velocity and the acceleration of the particle when t=4 seconds
The diameter of the sample and the standpipe were 9.8 cm and 0.75 cm, respectively. The water level in the standpipe was observed to fall from 60 cm to 45 cm in 12 minutes. Calculate: a. The hydraulic conductivity k of the soil sample .
Design a lined trapezoidal channel to carry 20 m^3/sec on a longitudinal sloe of 0.0015. The lining of the channel is to be float-finished concrete (n=0.015). Consider (a) the best hydraulic section and (b) the section with side slopes 1.5:1 (H:V)
At one point in a pipeline, the water's speed is 3.00 m/s and the gauge pressure is 4.00×10^4 Pa. Find the gauge pressure at a second point in the line 11.0 m lower than the first if the pipe diameter at the second point is twice that at the first..
For any flowrate, the pressures in the pipes upstream and downstream of the reducer are expected to be related by using Bernoulli's equation where p1 and p2 are the upstream and downstream pressures and V1 and V2 are the upstream and downstream ve..
A ground level source is emitting pollution. An air sampler is located 1 km downwind and 0.5km crosswind of the source measures the concentration of the pollutant ant ground level as 10 micrograms/cubic meter.
The uniform load has a mass of 400 and is lifted using a uniform 40- strongback beam and four ropes. determine the tension in each rope
Given the binary variables x1,x2,x3,x4 and x5, formulate a set of constraints that will enforce x3,x4, and x5 to equal one if x1=1 and x2=0.
Determine the maximum displacement of the plate A if the billet strikes the plate with a speed of 8 . Neglect the mass of the springs, rollers and the plates A and B. Take = 4000 , = 40000 .
If a source of groundwater gets contaminated with a DNAPL and another one gets contaminated with a LNAPL, which one will be harder to remediate and why ?
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