Mechanical Engineering Answers

A box girder 12 ft long is given the section shown. Determine the maximum deflection if it is supported on a simple support and exposed to a transverse load of 380 Lbf/ft uniformly distributed in the direction shown. A-36 steel. Determine the factor of safety.

20 in

Ang Esquinas 3 X 3 X 3/8 in

Ang Refuerzo 1 1/2X1 1/2 X 1/4 in

Tee 11/2X2X1/4 in

Placa 1/4 in

HI 12 in

6 in

6 in 1

1 kg of fluidis compressed reversible according to law pv=25, where p is in bar and v is in m^3/kg. The final volume is 1/4 of the initial volume. Calculate the work done on the fluid , and sketch the p-v diagram

 A cone of base diameter 40 mm and height 50 mm is resting centrally on the top of square frustum whose smaller base is 40 mm, larger base is 50 mm and height 60 mm. The square base frustum is resting on its smaller base. Draw an isometric view of the solids.

Pipes 1,2,3 and 4 have lengths of 300m, 240m, 210m and 450m all being new cast iron. Pipes 2 and 3 are laid in parallel both drawing from 1 and discharging into 4. If 1,2 and 4 have diameters of 200mm, 150mm and 250mm, respectively, determine the diameter of 3 when the discharge through the system is 45 liters/sec under a total head loss of 8m. Assume f=0.02.

A cylindrical tank with its axis vertical has a diameter of 2m and a depth of 8m. A standard sharp-edged orifice 100mm in diameter is located in the side 1m above the bottom. When at rest, water stands to a depth of 5m. Assuming that the volume of water in the tank is kept constant. Determine the rate of discharge from the orifice when the tank has a constant velocity of 3m/s in a direction opposite to that of the jet.

A standard short tube 100mm in diameter, in the side of a cylindrical tank 2m in diameter, and having its axis vertical, discharges under a constant head. The rate of inflow by which the head kept constant is suddenly changed from 0.025m^3/s to 0.035m^3/s. How long will it take be, after this change occurs, until the head becomes 1.50m?

Two blocks of mass 50 kg and 40 kg are connected by a light inextensible string as shown in Fig. Find, from first principles, the acceleration of the system and tensions in the cable. Take Friction coefficient = 0.3

The velocity of a slider is defined by the relation v = v'sin(wnt + p). Denoting the velocity and the position of the slider at t = 0 by vo and xo, respectively, and knowing that the maximum displacement of the slider is 2x0, show that (a) v' = (v² + xw²)/2xw,, (b) the maximum value of the velocity occurs when x = x₁ [3 - (vo/xown)² ]/2.

Three rolling cylinders are connected with a pure rolling contact with a speed ratio of 3 in cylinder 1 and 2, if the center distance of cylinder 1 & 2 and cylinder 2 & 3 are 16 inches & 18 inches Respectively. Calculate the diameter and rpm of each cylinder. If the velocity is 20m/s.

An aluminium bar is 200 mm long and has a diameter of 7 mm. It fits centrally

inside a brass tube of the same length. The outside diameter of the tube is 10

mm and the wall thickness is 1 mm. The bar and tube are connected to rigid

end plates, so that they twist together. Find the torsional stiffness for each

shaft. If a torque of 12 N.m is applied to the composite shaft, calculate the (a)

torque transmitted by each; (b) maximum shear stress induced in each; and

(c) angle of twist (GBRAss = 40 GPa and GALUMINIUM = 30 GPa).