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Question 1: For the loaded beam, as shown in the figure below, determine the magnitude of the counter weight Q for which the maximum absolute value of the bending moment is as small as possible. If this beam section is 150 mm x 200mm, determine the maximum bending stress. Neglect the weight of the beam.
Question 2: A beam of rectangular section 450 mm wide and 750 mm deep has a span of6 metres. The beam is subjected to a uniformly distributed load of 20 kN per metre run (including the self-weight of the beam) over the whole span. The beam is also subjected to a longitudinal axial compressive load of 1500 kN. Find the extreme fibre stresses at the middle sectionspan.
A rapid-mixing basin is to be designed for a water coagulation plant, and the design flow for the basin is 4.0 MGD (million gallons per day). The basin is to be square with a depth equal to 1.25 times the width.
Water flows from a ground storage tank that is 450 feet above a town's water distribution system. The pressure at the entrance of the system must be at least 75 psi and the demand is 1350 GPM.
Equation for head loss in a pipe when it is laminar flow: head loss, h= (32*dynamic viscosity,u*pipe length,L*average velocity of fluid,V) / (gravitational acceleration,g*pipe diameter,D^2) Give an equation for relative uncertainty of head loss
A fluid flowing in a pipe 30cm in diameter has a uniform velocity of 4m/s. The pressure at the center of the pipe is 40KPa, and the elevation of the pipe's centerline above an assumed datum is 4.5m. Compute the total energy per unit weight of the ..
The first stratum is confined, and the second one is unconfined, and the water surface elevations in the channels are 24 m and 16 m above the bottom of the unconfined aquifer.
Consider a singly reinforced concrete beam with a base dimension of b= 12in and d=20in. Assume all bars are located in one row. Use Grade 60 steel and 5ksi concrete. Find the nominal flexural strength and the design strength for the following cases
Lines of levels were run requiring n instrument setups. If the rod reading for each backsight and foresight has a standard deviation δ what is the standard deviation in each of the following level lines?
A vertical pipe of 4ft diameter and 60 ft long has a pressure head of 22.7 ft of water at its upper end. when the flow of water through it is such that the mean velocity is 16 fps, the pipe friction head loss is hf = 2.8 ft.
find the percentage error over the band in making this approximation.
A 40-mm-diameter jet has a velocity of 25 m/s. If this jet were to strike a large flat plate normally, what would be the resultant force on the plate?
this cuts it down to a single force that you have to solve for, regardless of what type of member it is. Prove that the forces are equal and that the lines of action are along an angle theta. HINT: Use to do equations of equilibrium.
A temporary diversion has been constructed on a highway of +4 percent gradient due to major repairs that are being undertaken on a bridge. The maximum speed allowed on the diversion is 10 mph
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