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An overhanging beam ABC is subjected to a couple MA at the free end (see figure). The lengths of the overhang and the main span are a and L, respectively. Determine the angle of rotation and deflection at end A. (Obtain the solution by using the modified form of Castigliano's theorem.)
Physics two skaters with masses of 65 kg and 45 kg, respectively stand 8.0 m apart each holding one end of a rope.
Testing has shown that at a local race track (0.25 in length) racecars have a maximum side friction factor of 0.08. The smallest turn radius on the oval track is 150 feet and has a banking of 20 degrees.
The rod has a uniform cross-section of 53mm2. The external load consists of point loads: two P1 of 3kN, two P2 of 1kN, and one P3 of 7kN. What is the normal stress at the fixed support
A clay ball (m=0.82 kg) is thrown at a metal target (M=1.72 kg) that is suspended from a cable. The ball is released 1.5 m above teh ground at an angle of 32 degrees.
two 500 ml samples were completely mixed together the first sample contained 0.002 M Na2CO3 while the second contained 0.004 N NaOH. what volume of 0.02 N sulfuric acid would need to be added to neutralize the solution
A ciricular sewer is laid on a slope of 0.5%. What diameter is required if the concrete pipe is to carry 25 cfs If the desired design mean suction velocity is between 3 and 7 ft/s, is the design acceptable
The setting velocity of a particle is 0.002 m/s and the overflow rate of a settling tank is 0.008 m/s. (a) what percent of the particles does the settling tank capture. If the particles are flocculated so that thie rsettling rate is 0.05 m/s
what pH is required to precipitate all but 0.20 mg/L of iron from a raw water with an Fe 3+ concentration of 2.1 mg/L Assume the temperature is 25 C. The reaction isFe(OH)^3 = Fe + 3 OH^- and pKs= 38.57
A wheel has an angular acceleration of alpha=(0.5*theta) rad/s^2 , where theta is in radians. a) Determine the magnitude of the velocity of point P located on its rim after the wheel has rotated 2 revolutions.
Draw the shear diagram for the shaft. The bearings at and exert only vertical reactions on the shaft
The concentration of Chemical Oxygen Demand (COD) in the effluent from this system is 25 mg L-1. The growth rate of the organisms in this case is 0.9 days-1. The activated sludge tank has a volume of 50 m3 and the flow rate through it is 500 m3 da..
The bar AB has an axial rigidity of EA. The bar is rigidly attached at A while there is a gap at B. A load P acts at point C and has a large enough magnitude to close the gap at B.
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