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Question 7 54 kg 42 kg 0.4m0.4m Figure Q7 The shaft AB of diameter of 90...
see the beam underneath 5.1 An air compressor consists of four compressor discs mounted on a steel shaft 50 mm apart a shown in Figure 5.33. The shaft is simply sup ported at either end. Each c...
see the beam underneath
5.1 An air compressor consists of four compressor discs mounted on a steel shaft 50 mm apart a shown in Figure 5.33. The shaft is simply sup ported at either end. Each compressor wheel mass is 18 kg. Calculate the deflection at each wheel using Macaulay's method and calculate, using the Rayleigh-Ritz equation, the first critical fre- quency of the shaft. The shaft outer diameter is 0.05 m, the inner diameter is 0.03 m. 4 L.f...
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
Backboard O dynamic balancing QUESTION 27 Q20: The rotor of a steam turbine with mass 10.5 kg is mounted on steel shaft (E 207 GPa). The shaft diameter is 49 mm and is 1.8 m long. The shaft is su...
Backboard O dynamic balancing QUESTION 27 Q20: The rotor of a steam turbine with mass 10.5 kg is mounted on steel shaft (E 207 GPa). The shaft diameter is 49 mm and is 1.8 m long. The shaft is supported at the two ends by the bearings. The turbine rotor has an eccentricity of 9.0 mm and operates at 7200 rpm (754.0 rad/s). Determine the natural frequency of the system in rad/s. Rotor In 214.279 rad/s O 50985.64 rad/s 45915.49...
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...
QUESTION 27 020 The rotor of a steam turbine with mass 10.5 kg is mounted on steel shaft (E- 207 GPa). The shaft diameter is 49 mm and is 1.8 m long. The shaft is suppored at the two ends by the...
QUESTION 27 020 The rotor of a steam turbine with mass 10.5 kg is mounted on steel shaft (E- 207 GPa). The shaft diameter is 49 mm and is 1.8 m long. The shaft is suppored at the two ends by the bearings The turbine rotor has an eccentricity of 9.0 mm and operates at T200 rpm (754.0 rad/s). Determine the natural frequency of the system in rad/s Rotor Ο 214.279 rads 50985.64 rad o 45915.49 ad/s 484424 rad/s QUESTION...
Question 2 Parta: A cantilever AB of length 800mm is made of steel and has a...
Question 2 Parta: A cantilever AB of length 800mm is made of steel and has a square cross section with sides of length c. The cantilever is fixed at B and carries a concentrated load of 5kN at A. Calculate the minimum length of side (c) necessary to limit the maximum deflection to 10mm. [E = 200GN/m²]. Determine also the slope in degrees at A. [6] Fig 2a N.B. The weight of the beam to be neglected. Fig 2b1 Part...
Question 1 Shaft AB is supported at B by a roller support and at A by a pin support as well as a spline that prevents rotation around x axis. The diameter of the shaft is D. At cross s...
Question 1 Shaft AB is supported at B by a roller support and at A by a pin support as well as a spline that prevents rotation around x axis. The diameter of the shaft is D. At cross section A-A there is a relief groove where the minimum diameter is d. Two loads, F, and one torsion moment, T, are acted on the shaft. The material of the shaft is aluminum 7075, Sy = 495 MPa. Also known: L=630...
A rotating shaft of 25-mm diameter is simply supported by bearing reaction forces R and R. The shaft is loaded with a transverse load of 13 kN as shown in the figure.
A rotating shaft of 25-mm diameter is simply supported by bearing reaction forces R and R. The shaft is loaded with a transverse load of 13 kN as shown in the figure. The shaft is made from AISI 1045 hot-rolled steel. The surface has been machined. Determine (a) the minimum static factor of safety based on yielding. (b) the endurance limit, adjusted as necessary with Marin factors. (c) the minimum fatigue factor of safety based on achieving infinite life. (d) If the fatigue factor...
The figure shows a transmission shaft. The steel solid shaft is 200 mm long between self-aligning...
The figure shows a transmission shaft. The steel solid shaft is 200 mm long between self-aligning bearings at A and B. Belt forces (in the same horizontal direction) are applied to a 120-mm diameter sheave at C. The left end of the shaft is connected to an electric motor attached to a clutch by means of a flexible coupling. Nothing is attached to the right end (it is free). Assuming the shaft has a constant diameter, d, (a) Perform the...
L = 5.2 m p = 1040 Kg/m3 Common Data: [Young’s modulus, E=210 GN/m2] [Poisson’s ratio, ν=0.33]...
L = 5.2 m
p = 1040 Kg/m3
Common Data: [Young’s modulus, E=210
GN/m2] [Poisson’s ratio, ν=0.33] [Yield
stress σ0 = 210 MN/m2 ]
Figure 4 shows an arrangement and dimensions of cylinder-frustrum-cylinder storage tank. It is supported by 4 hollow steel columns of length L. One end of each column is welded to the tank and provide a clamped support. The other end is free support rest on the ground. Figure 5 shows the cross- section shape of the column...
see the beam underneath
5.1 An air compressor consists of four compressor discs mounted on a steel shaft 50 mm apart a shown in Figure 5.33. The shaft is simply sup ported at either end. Each compressor wheel mass is 18 kg. Calculate the deflection at each wheel using Macaulay's method and calculate, using the Rayleigh-Ritz equation, the first critical fre- quency of the shaft. The shaft outer diameter is 0.05 m, the inner diameter is 0.03 m. 4 L.f...
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
Backboard O dynamic balancing QUESTION 27 Q20: The rotor of a steam turbine with mass 10.5 kg is mounted on steel shaft (E 207 GPa). The shaft diameter is 49 mm and is 1.8 m long. The shaft is supported at the two ends by the bearings. The turbine rotor has an eccentricity of 9.0 mm and operates at 7200 rpm (754.0 rad/s). Determine the natural frequency of the system in rad/s. Rotor In 214.279 rad/s O 50985.64 rad/s 45915.49...
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...
QUESTION 27 020 The rotor of a steam turbine with mass 10.5 kg is mounted on steel shaft (E- 207 GPa). The shaft diameter is 49 mm and is 1.8 m long. The shaft is suppored at the two ends by the bearings The turbine rotor has an eccentricity of 9.0 mm and operates at T200 rpm (754.0 rad/s). Determine the natural frequency of the system in rad/s Rotor Ο 214.279 rads 50985.64 rad o 45915.49 ad/s 484424 rad/s QUESTION...
Question 2 Parta: A cantilever AB of length 800mm is made of steel and has a square cross section with sides of length c. The cantilever is fixed at B and carries a concentrated load of 5kN at A. Calculate the minimum length of side (c) necessary to limit the maximum deflection to 10mm. [E = 200GN/m²]. Determine also the slope in degrees at A. [6] Fig 2a N.B. The weight of the beam to be neglected. Fig 2b1 Part...
Question 1 Shaft AB is supported at B by a roller support and at A by a pin support as well as a spline that prevents rotation around x axis. The diameter of the shaft is D. At cross section A-A there is a relief groove where the minimum diameter is d. Two loads, F, and one torsion moment, T, are acted on the shaft. The material of the shaft is aluminum 7075, Sy = 495 MPa. Also known: L=630...
The figure shows a transmission shaft. The steel solid shaft is 200 mm long between self-aligning bearings at A and B. Belt forces (in the same horizontal direction) are applied to a 120-mm diameter sheave at C. The left end of the shaft is connected to an electric motor attached to a clutch by means of a flexible coupling. Nothing is attached to the right end (it is free). Assuming the shaft has a constant diameter, d, (a) Perform the...
L = 5.2 m
p = 1040 Kg/m3
Common Data: [Young’s modulus, E=210
GN/m2] [Poisson’s ratio, ν=0.33] [Yield
stress σ0 = 210 MN/m2 ]
Figure 4 shows an arrangement and dimensions of cylinder-frustrum-cylinder storage tank. It is supported by 4 hollow steel columns of length L. One end of each column is welded to the tank and provide a clamped support. The other end is free support rest on the ground. Figure 5 shows the cross- section shape of the column...
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