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Consider a cantilever mass-less beam subjected to a concentrated mass at the tip of the beam. Assume, length L, flexural stiffness EI, and mass m.a) Assume the mass is applied statically on the beam. Use Euler's beam theory to derive the beam deflection.b) Assume the mass is released at once from zero height. Use energy equation to calculate the beam deflection.c) For part b, use free vibrational response of a spring-mass system to derive the equation of motion as a function of time, i.e. time history of beam deflection.d) Plot time histories of acceleration, velocity, and displacement for part c.e) Use section c to proof part b.f) Calculate maximum static and dynamic deflections of a 6-ft steel beam with 4-in by 6-in hollow section and 1/8-in thick walls, subject to 200 lbs weight.
a. Determine the hydraulic radius, hydraulic depth, and section factors for critical and normal flows. b. Determine the alternate depth of flow that will carry the same discharge.
A consolidated-undrained type of test is performed. The sample fails (shears) when the total all-around confirming pressure is 45 kpa and the total axial pressure is 97 kpa.
Consider a diver weighing 200 lb at the end of a diving board that cantilevers out over 3 ft. The diver oscillates at a frequency of 2 Hz. What is the flexural rigidity EI of the diving board
in what ways were the projectacirc??s planning and scope management appropriate? when did the planners begin taking
The rigid bar abcd is supported by a pin at B and restrained by identical steel bars at C and D, each of area 250mm 2 . if the temperature is increased by 8 0 C, find out the force P that will cause the bar at c to be stress-free.
A thick steel sheet of area 440cm3 is exposed to air near the ocean. After a one-year period it was found to experience a weight loss of 880g due to corrosion. To what rate of corrosion in mm/yr dose this correspond
Design a Portland cement concrete mix for a loading dock driveway slab. The concrete will be exposed to deicing chemicals and subjected to freezing and thawing in a moist condition. This is severe environmental exposure.
The entrance is square edged, and the elbows are 90o. There is a fully opened gate valve on the suction side and the discharge side, and there is a swing type check valve on the discharge side. Determine the system curve for the pump system.
two wooden members of uniform rectangular cross section of sides a = 100 mm and b = 60 mm are joined by a simple glued joint as shown. knowing that the ultimate stress of the joint are 1.26 MPa in tension and 1.50 MPA in shear and that P= 6kN
A 12 foot W14 X 22 column with pinned ends is axially loaded. The max load it can carry is 34 ksi. Determine (a) Euler buckling stress, (b) Euler buckling load. (A = 6.49 in^2) (ry = 1.04 in) (Iy = 7.00 in^4)
Determine the horizontal component of reaction that the pin A exerts on the two-member frame. Set F = 500 (Find Ax) Determine the vertical component of reaction that the pin A exerts on the two-member frame.
Assuming that the velcity of a 185 lb athlete just before landing is 30 ft/s at an angle of 35 degrees with the horizontal and that the athlete comes to a complete stop in .22 seconds after landing,
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