Mechanical Engineering Answers

A steel shaft of diameter 57 mm is turned with a carbide tool that has a side rake angle of 𝛼_f = 5°, a back rake angle of 𝛼_p = −5°, and zero approach angle. The nose radius of the insert is 𝑟 = 0.8 mm. The radial depth of cut, the feed rate, and the cutting speed are: 𝑎 = 1 mm, 𝑐 = 0.06 mm/rev, and 𝑉 = 240 m/min, respectively. The orthogonal parameters for the same steel and carbide tool with a rake angle 𝛼_r = −5° are:

Shear stress: 𝜏_s = 1400ℎ + 0.327𝑉 + 507 [N/mm² ]

Friction angle: 𝛽_a = 33.69 − 12.16ℎ − 0.0022𝑉 [degree]

Chip ratio: 𝑟_c = 2.71ℎ + 0.00045𝑉 + 0.227

wherein the units for ℎ are mm and for 𝑉 are in m/min.

i. Evaluate the distribution of chip thickness along the curved chip length.

ii. Evaluate the cutting coefficients along the curved chip length using the oblique cutting transformation. iii. Evaluate the distribution of tangential, radial, and feed cutting forces (F_t; F_r; F_f ) along the curved chip.

iv. Find the total cutting forces (Fx; Fy; Fz), torque, and power required to turn the shaft.

A hollow circular column is made of AISI C1015, as rolled and its Outer and inner diameter is 4.5 in and 4.021 in.

I = 7.2 in^4, k= 1.5 in, L= 15 ft, effective length= 0.65*L, N=2.5.

Single column area= 3.174 in^2

total load,F= 200 kips

Determine minimum number of column and equivalent stress.

A hollow circular column is made of AISI C1015, as rolled and its Outer and inner diameter is 4.5 in and 4.021 in.

I = 7.2 in^4, k= 1.5 in, L= 15 ft, effective length= 0.65*L, N=2.5.

Single column area= 3.174 in^2

total load,F= 200 kips

Determine minimum number of column and equivalent stress.

 In a chemical reaction a given substance is being converted into another at a rate proportional to the amount of substance unconverted. If (1/5)th of the original amount has been transformed in 4 minutes how much time will be required to transform one half.

What is X²+54X+10

A body kept in air with 25degree Celsius cools from 140 degree Celsius to 80 degree Celsius in 20 minutes. Find when body cools down to 35 degree Celsius.

A gun barrel weight 300 kg and has a recoil spring of stiffness 250N/mm. The barrel recoils 0.8m on firing. Determine the (i) Critical recoil velocity of the gun, (ii) Critical damping coefficient of the dashpot engaged at the end of the recoil stroke.

a gun barrel weight 300 kg and has a recoil spring of stiffness 250 Newton per mm the barrel is equal to 0.8m on firing determine i the critical recoil velocity of the gun .

) A gun barrel weight 300 kg and has a recoil spring of

stiffness 250N/mm. The barrel recoils 0.8m on firing.

Determine the (i) Critical recoil velocity of the gun,

(ii) Critical damping coefficient of the dashpot engaged

at the end of the recoil stroke.

A closed system containing 2-kg of air undergoes an isothermal process from 600-kPa and 200°C to 80-kPa. Determine:

1.1) The initial volume of the system.

1.2)The work done during the process. Give your answer in kJ.

1.3) The heat transfer during the process. Perform an energy balance from which you will derive the equation to calculate the heat transfer. Give your answer in kJ.