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Consider two solid circular rod segments, one of copper alloy and the other of aluminum alloy (6061-T6). Each segment is fixed to a rigid wall at one end and is perfectly aligned with respect to the other but a gap exists between the rods as shown.
i) Let a pair of equal but opposing forces be applied to the free end of each rod.
Find the magnitude, P, which will just close the gap.
Let ?d_1=d?_2=1 in ; L_2=?2L?_1=3 in .
ii) Find the stress induced in the aluminum rod if, after the gap is closed, the two segments are welded together, and then a leftward force is applied of the same magnitude needed to close the gap. Assume the rod segments remain aligned during loading.
At a specified point on a highway, vehicles are known to arrive according to a Poisson process. Vehicles are counted in 20-second intervals, and vehicle counts are taken in 120 of these time intervals.
Determine the percent error n in replacing the sine and the tangent of an angle by the value of the angle in radians for angle values 5 degrees, 10 degrees, and 20 degrees. Explain the qualitative difference between the sine and tangent results
A wheel tractor-scraper is operating on a level grade, assuming no power derating is required for equipment conditions, altitude, and temperature.
Also determine the bending moment atthe bottom of its pole whose height from the graound to the bottomof the sign is 1.5 m. Disregard the drag on the pole.
Trips can be classified by productions/attractions or origins/destinations. Which classification provides the direction of travel. Describe the product/outcome (e.g., production-attraction matrix) after each of the 4-step transportation planning pr..
A cross section of a cottage, 20 ft wide, is an isosceles triangle. If the slope of a side is 1.75 and there is a second floor 8 ft above the ground floor, what isthe width of the second floor?
A pendulum consists of a slender rod, AB, of weight Wr= 8.60 lb and a wooden sphere of weight Ws= 21.7 lb .(Figure 1) The length of the rod is d = 7.70 ft and the radius of the sphere is R = 0.500 ft .
A steel bar of length 30 inches and circular cross section whose diameter varies linearly from 0.50 inches at one end to 0.75 inches at the other is subjected to an axial tensile force of 4.5 kip. Find the change in length of the bar.
Given that uniform flow is subcritcal and there is a constriction in a rectangular channel, how do you determine what the constricted width would be to force the flow to be critical. Draw this transition on a specific energy curve.
A first order reaction is employed in a destruction kind of a certain kind of microorganism. ozone is used as the disinfectant and the reaction is found to be dC/dt=-kC. where C is the concentration of microorganisms, microbes/ml.
Consider again the proposed water treatment plant for a city of 100,000 people where the maximum daily water usage rate is 99 X 106 L/d. Determine (a) the number of kilograms of chlorine needed per day and (b) the capacity of the contact tank.
a 1 meter diameter cylindrical mass is connected to a 2 meter wide rectangular gate. the gate is to open when the water level drops below 2.5 meters. Determine the required value of the mass of the cylinder in kgs.
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