The rigid bar ABC is suspended from three wires of the same material. The cross- sectional area of the wire at B is equal to half of the cross-sectional area of the wires at A and C. Determine the tension in each wire caused by the load P shown. A L DB P

В A B C The system above is comprised of two-force members AB and AC, supporting a vertical force at point A. Assuming the system is drawn to scale and is in equilibrium, which of the following best describes the nature of the forces in members AB and AC? a) AB is in tension AC is in compression b) AB is in compression AC is in compression c) AB is in tension AC is in tension d) AB is in compression AC is in tension

The force applied at the handle of the rigid lever causes the lever to rotate clockwise about the pin B through an angle of 2°. Calculate the average normal strain developed in each wire. The wires are unstretched when the lever is in the horizontal position. A T 200 mm 200 mm B -300 mm- 200 mm D 300 mm E

Reduce the given loading system to a force-couple system at point A. Then determine the distance x to the right of point A at which the resultant of the three forces acts. A Answers: 8" V R= i M= 320 lb X= i Force-couple system at A. The force is positive if up, and the moment is positive if counterclockwise. Resultant i 15" 24" 600 lb 350 lb lb lb-in. in.

Please design a rapid sand filter that will effectively remove 65% of thesuspended solids in a flow of 10 cubic meters per minute. The suspendedmaterial consists of particles that are perfectly spherical with a diameter of 10microns. Please use sand with an effective size of 1 mm and a porosity of 0.5.You should limit your clean bed head loss to 0.5 meters per meter. (Pease use an attachment efficiency, α of 0.75)Viscosity of water =1.0087x10-3 Ns/m2Density of water =998.23 kg/m3What are the dimensions of this filter (Depth and Surface Area)?

А P 200 mm В E 150 mm F Three steel (E=200 GPa) rods (AB, CD and EF) support a load of P=30 kN as shown in the figure. Each of the rods AB and CD has a 80-mm2 cross-sectional area and rod EF has a 120-mm2 cross-sectional area. (a) Write the equilibrium equation for the rigid member BED in vertical direction, (b) write the compatibility equation for the given bar system, (c) determine the force in rod EF (d) determine the average normal stress in rod EF.

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