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A short reinforced concrete column is subjected to a 1000 kN axial compressive load. The moduli of elasticity of plain concrete and steel are 25 GPa and 207 GPa, respectively, and the cross-sectional area of steel is 2% of that of the reinforced concrete. Considering the column as a structural member made of a composite material and subjected to load parallel to the steel rebars, calculate the following:
(A) the modulus of elasticity of the reinforced concrete
(B) the load carried by each of the steel and plain concrete
(C) the minimum required cross-sectional area of the column given that the allowable compressive stress of plain concrete is 20 MPa and that the allowable compressive stress of plain concrete will be reached before that of steel.
A 45 kg machine is placed at the end of a 1.6 m long cantilever beam of elastic modulus 200 x 109 N/m and cross-sectional moment of inertia 1.6 x 10-5 m4.
The relative density of a sloped sand deposit is known to be 75%. Water is observed to be seeped through this slope at a rate such that the discharge velocity is 0.6 m/day.
The slope of the channel is .15% and the mannings roughness coefficient is .038. estimate the depth 100m upstream of a section where the flow depth is 2.2m using the standard step method. Approximate how far upstream of this section would you exp..
A barge-mounted, ocean thermal energy conversion (OTEC) power station is being tested off the island of Hawaii. The 50 kWturbogenerator runs on a closed ammonia cycle.
An experiment was conducted to determine the hydraulic conductivity of an artesian aquifer. The piezometric heads at two points 150m apart were found to be 55 m and 48.5 m above a datum.
The cars have equal mass. Car A is suddenly given velocity 4 m/s and the rope becomes taut. We know that 40 percent of the system’s kinetic energy is lost during the rope tensioning.
Use dimensional analysis with the following parameters: height of spillway (P), head on the spillway (H), viscosity of liquid, density of liquid, surface tension, and acceleration due to gravity.
A rectangular channel leading from an upstream lake has a bottom width of 20 ft, bottom slope of 0.0002, a Manning roughness factor of 0.016, a discharge of 403 cfs, and normal depth of 6.24 ft.
A container ship carries 2000 units. It must be unloaded andre-loaded in a 48 hr turnaround. Two cranes are available. Find therate that the trucks line up, load and pass under each crane.
A constant pressure container is filled with 1 kg of stainless steel and 0.5 kg of PVC (polyvinyl chlo- ride) both at 20C and 0.25 kg of hot air at 500 K, 100 kPa. The container is now left alone with no external heat transfer.
Consider a steel containing 0.6% carbon and 10% chromium. Estimate the eutectoid temperature and concentration. What is the proeutectoid phase
the triangular plate ABC is supported by ball and socket joints at B and D and is held in the position shown by cables AE and CF. If the force exerted by cable AE at A is 1000N , determine the moment of the force about line joining points D and B.
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