Homework Answers
We know that critical speed of shaft in revolutions per second (RPS) is equal to the natural frequencyof transverse vibration in Hertz.
and
To calculate the natural frequency of transverse vibration, i will use drunkley method.
Drunkley method is semi-emprical,it gives approximate result,
Critical speed of shaft = 363.67 RPM (revolution per minute)
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2. Determine the value of the critical speed of rotation for the simply supported shaft carrying...
The simply supported shaft shown in the figure with a 600 mm span between bearings, is...
The simply supported shaft shown in the figure with a 600 mm span between bearings, is carrying three gears. If the first critical speed of the shaft equals 883 rad/sec, apply Rayleigh's equation to choose a suitable material and diameter for the shaft. 12 N 10 N 12 N +100 mm -200 mm -200 mm + - 100 mm
1. Noise & Vibration Control of a Loaded Rotating Shaft: The motor drives a simply supported circ...
1. Noise & Vibration Control of a Loaded Rotating Shaft: The motor drives a simply supported circular shaft of length L-4a, carrying three identical gears (mass of each m-100 kg), mounted on the shaft as shown. The shaft is made of steel (p-7700 kg/m, E-200 GPa) with a-0.50 m, and d-50 mm. Determine a safe motor size in Hertz (Hz) in order to avoid Gear Position 1 Node 1 2 Node 2 3 Node 3 Motor 3 Summary: Attach details...
The input power of shaft ABC at A is P = 8 kW, at rotation of 600 rpm. The shaft DEF is free rotate. Material for th...
The input power of shaft ABC at A is P = 8 kW, at rotation of 600 rpm. The shaft DEF is free rotate. Material for the shafts are Ck22 with ay 360 MPa; συ-550 MPa; E-210 Gpa; G-77 GPa. Determine . Diameter shaft ABC and DEF with safety factor Sr 2.0 and τ.-0.4 Round-up to the nearest even number. 150 mm 300 um Supposed shaft DEF is fixed at F, determine: Angle of twist shaft DEF 200 m 150...
A simply supported shaft shown below is subjected to a constant load P and a time varying torque,...
A simply supported shaft shown below is subjected to a constant load P and a time varying torque, Tmin to Tmax Find the shaft diameter for a factor of safety of 2 for fatigue with the following information for the steel shaft. Se = 180 MPa, Sy = 450 MPa, Sut = 600 MPa P- 5 kN, Tmin 0, Tmax-150 N-m a-400 mm, b 550 mm, I 575 mm
A simply supported shaft shown below is subjected to a constant...
Question 7 54 kg 42 kg 0.4m0.4m Figure Q7 The shaft AB of diameter of 90...
Question 7 54 kg 42 kg 0.4m0.4m Figure Q7 The shaft AB of diameter of 90 mm shown in Figure Q7 is simply supported over 1 m. The shaft carries two loads 54 kg and 42 kg in the indicated positions. Take E 200 GN/m2 Using Macaulay's method, determine: 7.1 the deflection at each load; 7.2 the critical speed of the shaft in rad/s
1) Shaft Dynamics: A 30 kg grinding wheel is attached to a 75 mm diameter steel...
1) Shaft Dynamics: A 30 kg grinding wheel is attached to a 75 mm diameter steel shaft (E= 200 GPa) that is supported by two bearing (A and B) as shown below. Determine the critical speed of the shaft. A Pillow block bearing Steel shaft Grinding wheel, 30 kg В 0.5 m 0.3 m
QUESTION 29 Q21 (B): A steel shaft (E = 207 GPa) of diameter, d and length, L is supported at the two ends in bearings...
QUESTION 29 Q21 (B): A steel shaft (E = 207 GPa) of diameter, d and length, L is supported at the two ends in bearings as shown below. It carries a turbine disc, of mass m and eccentricity a, at the middle and operates at n RPM. The damping in the system is equivalent to viscous damping with a damping ratio of ζ mass, Determine the critical speed, wcof the shaft in rad/s. Takem-19 kg, k 31113.91 N/m and c-1.45...
2. A shaft carrying a 10KN load is supported by two identical plain journal bearings. The shaft, which normally rotates...
2. A shaft carrying a 10KN load is supported by two identical plain journal bearings. The shaft, which normally rotates at 3000 rev/min has, at the bearing region, a nominal diameter of 50 mm and a length of 16 mm. Starting with a radial clearance ratio of 0.0015 and neglecting thermal effects a) Calculate the temperature of the lubricant which will produce an eccentricity ratio of 0.7 if the oil used is SAE10 b) Comment of the necessity to supply...
4.- The electric motor exerts a torque of 500 N-m on the ABCD aluminum shaft, while...
4.- The electric motor exerts a torque of 500 N-m on the ABCD
aluminum shaft, while rotating at a constant speed. If e knows that
G = 27 GPa and that the torques exerted on pulleys B and C are as
shown in Figure 4. Find the angle of rotation between:
a) B and C
b) B and D.
Make the free body diagram and explain step by step.
300 Nm 200N.m 48 mm 0.9 m B 44 mm 1.2m...
The rotating solid steel shaft is simply supported by bearings at points B and C and...
The rotating solid steel shaft is simply supported by bearings at points B and C and is driven by a gear (not shown) which meshes with the spur gear at D, which has a 150-mm pitch diameter. The force F from the drive gear acts at a pressure angle of 20°. The shaft transmits a torque to point A of T 400 N m. The shaft is machined from steel with S, 420 MPa and Su 560 MPa. Using a...
The simply supported shaft shown in the figure with a 600 mm span between bearings, is carrying three gears. If the first critical speed of the shaft equals 883 rad/sec, apply Rayleigh's equation to choose a suitable material and diameter for the shaft. 12 N 10 N 12 N +100 mm -200 mm -200 mm + - 100 mm
1. Noise & Vibration Control of a Loaded Rotating Shaft: The motor drives a simply supported circular shaft of length L-4a, carrying three identical gears (mass of each m-100 kg), mounted on the shaft as shown. The shaft is made of steel (p-7700 kg/m, E-200 GPa) with a-0.50 m, and d-50 mm. Determine a safe motor size in Hertz (Hz) in order to avoid Gear Position 1 Node 1 2 Node 2 3 Node 3 Motor 3 Summary: Attach details...
The input power of shaft ABC at A is P = 8 kW, at rotation of 600 rpm. The shaft DEF is free rotate. Material for the shafts are Ck22 with ay 360 MPa; συ-550 MPa; E-210 Gpa; G-77 GPa. Determine . Diameter shaft ABC and DEF with safety factor Sr 2.0 and τ.-0.4 Round-up to the nearest even number. 150 mm 300 um Supposed shaft DEF is fixed at F, determine: Angle of twist shaft DEF 200 m 150...
A simply supported shaft shown below is subjected to a constant load P and a time varying torque, Tmin to Tmax Find the shaft diameter for a factor of safety of 2 for fatigue with the following information for the steel shaft. Se = 180 MPa, Sy = 450 MPa, Sut = 600 MPa P- 5 kN, Tmin 0, Tmax-150 N-m a-400 mm, b 550 mm, I 575 mm
A simply supported shaft shown below is subjected to a constant...
Question 7 54 kg 42 kg 0.4m0.4m Figure Q7 The shaft AB of diameter of 90 mm shown in Figure Q7 is simply supported over 1 m. The shaft carries two loads 54 kg and 42 kg in the indicated positions. Take E 200 GN/m2 Using Macaulay's method, determine: 7.1 the deflection at each load; 7.2 the critical speed of the shaft in rad/s
1) Shaft Dynamics: A 30 kg grinding wheel is attached to a 75 mm diameter steel shaft (E= 200 GPa) that is supported by two bearing (A and B) as shown below. Determine the critical speed of the shaft. A Pillow block bearing Steel shaft Grinding wheel, 30 kg В 0.5 m 0.3 m
QUESTION 29 Q21 (B): A steel shaft (E = 207 GPa) of diameter, d and length, L is supported at the two ends in bearings as shown below. It carries a turbine disc, of mass m and eccentricity a, at the middle and operates at n RPM. The damping in the system is equivalent to viscous damping with a damping ratio of ζ mass, Determine the critical speed, wcof the shaft in rad/s. Takem-19 kg, k 31113.91 N/m and c-1.45...
2. A shaft carrying a 10KN load is supported by two identical plain journal bearings. The shaft, which normally rotates at 3000 rev/min has, at the bearing region, a nominal diameter of 50 mm and a length of 16 mm. Starting with a radial clearance ratio of 0.0015 and neglecting thermal effects a) Calculate the temperature of the lubricant which will produce an eccentricity ratio of 0.7 if the oil used is SAE10 b) Comment of the necessity to supply...
4.- The electric motor exerts a torque of 500 N-m on the ABCD
aluminum shaft, while rotating at a constant speed. If e knows that
G = 27 GPa and that the torques exerted on pulleys B and C are as
shown in Figure 4. Find the angle of rotation between:
a) B and C
b) B and D.
Make the free body diagram and explain step by step.
300 Nm 200N.m 48 mm 0.9 m B 44 mm 1.2m...
The rotating solid steel shaft is simply supported by bearings at points B and C and is driven by a gear (not shown) which meshes with the spur gear at D, which has a 150-mm pitch diameter. The force F from the drive gear acts at a pressure angle of 20°. The shaft transmits a torque to point A of T 400 N m. The shaft is machined from steel with S, 420 MPa and Su 560 MPa. Using a...
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