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A tank is situated at top of a house. RL of ground was kept as 200 m while the RL of the


terrace was measured to be 206.5 m. The RL of top of tank was found to be 208 m. An orifice


is placed at the bottom of the tank (Cd = 0.65) having diameter of 40 mm. A pipe was fit to


the orifice having diameter of 40 mm and diameter of the pipe was suddenly increased to 100


mm. Bend of 90o was provided and a gate valve is provided to control the flow. Just before


the tap a bend of 90o was again provided and a sudden contraction was provided and pipe


diameter was reduced to 20 mm. Calculate the discharge coming out from the tap if the total


length of pipe is 120 m (10 m 40 mm pipe, 90 m 100 mm pipe and 20 m 20 mm pipe) and


pipe is made up of steel with f = 0.015 if


a) Tank is full filled


b) Tank is half filled

Suppose the xy plane is electrically charged with a constant charge

density σ. Find the electric field at a height h from the xy plane.


A screw jack is to lift a load of 80 kN through a height of 400 mm. The elastic strength of screw material in tension and compression is 200 MPa and in shear 120 MPa. The material for nut is phosphor-bronze for which the elastic limit may be taken as 100 MPa in tension, 90 MPa in compression and 80 MPa in shear. The bearing pressure between the nut and the screw is not to exceed 18 N/mm2 . Consider factor of safety equal to 2 and coefficient of friction between screw and nut (µ)= 0.14. Design the screw and nut only. Refer the table shown as below for standard dimensions of screw.


A vertical channel 152 × 76 has a cantilever beam bolted to it as shown. The channel is hot-rolled AISI 1006 steel. The bar is of hot-rolled AISI 1015 steel. The shoulder bolts are M10 × 1.5 ISO 5.8. For a design factor of 2.0, find the safe force F that can be applied to the cantilever.



A vertical channel 152 × 76 has a cantilever beam bolted to it as shown. The channel is hot-rolled AISI 1006 steel. The bar is of hot-rolled AISI 1015 steel. The shoulder bolts are M10 × 1.5 ISO 5.8. For a design factor of 2.0, find the safe force F that can be applied to the cantilever. 


A delta modulator has the message signal


Determine the minimum sampling frequency to avoid slope overload distortion if the value of ∆ is


0.05π.

A tank is situated at top of a house. RL of ground was kept as 200 m while the RL of the


terrace was measured to be 206.5 m. The RL of top of tank was found to be 208 m. An orifice


is placed at the bottom of the tank (Cd = 0.65) having diameter of 40 mm. A pipe was fit to


the orifice having diameter of 40 mm and diameter of the pipe was suddenly increased to 100


mm. Bend of 90o was provided and a gate valve is provided to control the flow. Just before


the tap a bend of 90o was again provided and a sudden contraction was provided and pipe


diameter was reduced to 20 mm. Calculate the discharge coming out from the tap if the total


length of pipe is 120 m (10 m 40 mm pipe, 90 m 100 mm pipe and 20 m 20 mm pipe) and


pipe is made up of steel with f = 0.015 if


a) Tank is full filled


b) Tank is half filled

A uniform beam, 1.5 metre long, is suspended in a horizontal position by two vertical support rods as shown in the figure below. Rod A has a diameter of 12 mm and manufactured from steel with Esteel = 210 GPa. Rod B has a diameter of 16 mm and is made from copper with Ecopper = 105 GPa. This simply supported beam is to carry a motor vehicle engine and gearbox weighing 5,5 kN.

1 2 3 4 5 5.1 Determine the distance ‘x’ from the left-hand support ‘A’ in order for the beam to remain in a horizontal position.                                                                                                   /7/

5.2 Calculate the stress in each rod due to the applied load.                                                 /4/

5.3 Calculate the movement (extension) of the support wires under this 5.5 kN load.        /2/

Will the rods be able to withstand the applied load? Motivate your answer.



 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.



1500kg of steam is to be produced per hour with an enthalpy of 3077kj/kg. The feed water supplied to the boiler has an enthalpy of 167.5 kj/kg. The velocities of the water at inlet and the steam at exist are 2m/s and 45m/s respectively. Find the rate of which heat must be supplied to the boiler.

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