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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.
The structure consists of two uniform members AB and BC, each weight 2kN. The member are pinned to each other at B, and the structure is supported by a pin at C and a surface at A having coefficient of static friction 1.2.
A pressure gage at elevation 4.8 m on the side of a storage tank containing oil reads 34.7 kPa.Another gage at elevation 2.2 m reads 57.5 kPa. Compute the specific weight, density, and specific gravity of the oil.
What are the best dimensions for a trapezoidal canal having a side slopes of 1V : 3H and n = 0.020, if it is to carry 40 m^3/s uniformly on a slope of 0.009.
Water flows through the interior of a jet ski at 40ft^3/s. The water enters the boat at 75ft/s at an angle of 30 degrees to the water surface. The exit velocity id 85ft/s in the horizontal direction. The boat is in seawater at 60 degrees F.
assume that the earth is a smooth sphere and a steel band wrapped around the equator. if 10ft of steel is spliced into the band, what will be the resulting height of the band above the earth surface
Suppose X is a continuous random variable with probability density function, f(x)=4x^3 for 0
Given: acceration = -k*sqrt(v) and k is a cosntant when x=0, v=81 m/s, t=0 when x=18 m, v=436 m/s determine: a) velocity of particle when x=20 m b) the time required for the particle to come to rest
he oxygen is compressed from 95 kPa, 20 C to 300 kPa, isothermally. Determine the heat transfer assuming (a) the process is reversible, (b) the process is irreversible such that 20% more work is required than the reversible case.
Find the magnitude and depth of the point of application of the force on the circular gate shown (circular gate at an angle of 60 deg.) if h(distance from top of gate to top of water)=5ft. and D(length of the gate)=4 ft.
Find the length and width of a square basin for virus disinfection of a flow of 6 MGD. You may assume a depth of 5 ft, a C(dot)t product of 10 (mg/L) (dot)min for 1.5-log removal, and a target free chlorine residual of 0.6 mg/L.
Find the minimum length of runway required for the landing (I found to be 300ft). Find the position on the runway where the speed is 50ft/s and the time it takes for the speed to reach 50ft/s
Suppose that in an apparatus it is necessary to maintain precisely the cross section of a 20mm circular nickel steel bar. If this bar is heated to 200 deg Celcius, what tensile force should be applied to the bar to maintain its cross sectional dim..
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