Mechanical Engineering Answers

prove that the maximum deflection in a simply supported beam with uniformly distributed load is Y_c=5wl³/384EI

The bent beam ABC is attached to pin C and rests against a roller support at B. Neglecting the weight of the beam, find the magnitude of the reaction B and C

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.

The engine mechanism shown in Fig. 8.38 has crank OB = 50 mm and length of connecting rod A B = 225 mm. The centre of gravity of the rod is at G which is 75 mm from B. The engine speed is 200 r.p.m

find that at what distance body A will attain a velocity of 3 m/s when starts from rest. Assume coefficient of friction as 0.2 for block and surface and pulleys are frictionless and weightless

A mixture of 60%methane and 40%propane by volume is compressed from 40°C, 4bar to 12 bar. Find the final temprature of the mixture, work required per unit mass, and the entropy change for each gas assuming ideal gas behaviour with constant specific heats. take Cp for methane as 35.72KJ/kgK and Cp for propane as 74.56KJ/kgK

In a crane, the chain sprocket is driven by a motor on the spindle of which

is keyed a pinion of 14 teeth. This meshes with a gear of 68 teeth keyed

to the same spindle as a pinion of 12 teeth. The last gear meshes with a

gear of 50 teeth keyed to the same spindle as a gear of 25 teeth, and

the latter gear meshes with a gear of 54 teeth keyed to the chain sprocket

spindle. Chain sprocket is 16 ½ 𝑖𝑛. in diameter. Sketch the arrangement

and find the number of revolutions per minute of the motor when 20 ft of

chain are wound on the drum per minute.

In a brick-making machine is found this train of gears. A motor is carrying

pulley E, which is 6 in.in diameter, drives the machine. The wide-faced

roller F, 12 in. in diameter, drives a conveyor belt. If the motor runs at

1200 rpm, what is the speed of the conveyor belt in feet per minute?

In a broaching machine, the shaft A carries a pulley 24 in. in diameter which is driven by a belt from a 12-in. pulley on the countershaft overhead, the latter turning 150 rpm. The gears 2 and 4 have 12 teeth each, and 3 and 5 have 60 teeth. Gear 5 is fast to 6, which has 10 teeth and a circular pitch of 1.047 in. and which engages with rack 7 to which is attached the broach. Find the speed with which the broach is drawn through the work in inches per minute.