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A bar (wih bending rigidity EI) is supported at A and B with length 2a. The bar is fixed at B (length=2a) with a pin support at A (length L=0). Additionally, at A is a torsion spring (spring constant Ca = EI/a) and an extension spring is attached at B (spring constant Cb = EI/(a^3)). In the unloaded state, both springs are relaxed. What is the moment in the torsion spring when a force F is applied to the middle of the beam (L=a)?
At the proportional limit, a 32-mm-thick by 87-mm-wide bar elongates 10.2 mm under an axial load of 532 kN. The bar is 2.4 m long. Poisson%u2019s ratio, , for the material is 0.27.
you measure the average headway and average spacing of passing vehicles as 3.2 seconds and 165 ft, repsectively. calculate the flow, average speed, and density of the traffic stream in this lane.
The space truss shown is supported by a ball-and-socket joint at D and by short links at A and C. Determine the support reactions and the force in each member of the space truss.
A Class I rural highway segment of 10 miles in level terrain has a base free-flow speed (BFFS) of 65 mph. The cross section has 12-ft lanes and 6-ft clear shoulders on both sides of the road.
A level is set up midway between two wood stakes that are about 300 feet apart. The rod reading on Stake A is 9.65 ft and the reading on stake B is 4.23 ft. The level is then set up 6 feet in front of stake B.
A piston-cylinder device contains 0.2kg of water initially at 800 kPa and 0.06m^3. Now 200 kJ of heat is transferred to the water while its pressure is held constant. Determine the final temperature of the water.
Samples of a dry sand are to be tasted in a direct shear test and a triaxial test. In the triaxial test, the sample fails when the major and minor principal stresses are 140 psi and 40 psi, respectively.
Determine the forces that occur on the L5/S1 joint if a person has a bent posture with hips flexed at 65 Degrees with no load. The distance from Upper Body Center of Gravity to L5/S1=30cm.
A rectangular concrete channel is 3 m wide and 2 m high. The water 20 deg Celsius in the main channel is 1.5 m deep and is flowing at a rate of 30 m^3/s. determine the flow area, wetted perimeter, and hydraulic radius. Is the flow laminar or turbu..
With all the developments and improvements to the GNSS system over the years, what is one important facet of the system that has not improved
The velocity distribution for the flow of oil (SAE 20W) at 150 degrees between two plates is given by y(y-4) mm/s, where y is measured in mm and the space between the plates is 4mm. Determine the shear stress at each wall and the maximum shear str..
An equal-tangent sag curve has its PVI at station 10+00 and elevation at 138 ft. Directly above the PVI the bottom of an overpass structure is at elevation 162 ft. The PVC is at station 4+00. If the initial grade is -4.0%
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