The load on the journal hearing is 150 kN due to turbine shaft of 300...
Given:
- Load on the journal bearing = 150 kN
- Diameter of the turbine shaft = 300 mm
- Speed of the turbine shaft = 1800 rpm
- Allowable bearing pressure = 1.6 N/mm^2
To Find:
- Length of the bearing
Solution:
To calculate the length of the bearing, we need to determine the bearing area and then divide it by the allowable bearing pressure.
Step 1: Calculate the bearing area
The bearing area can be calculated using the formula:
A = π * d * L
Where:
- A is the bearing area
- d is the diameter of the journal
- L is the length of the bearing
We are given the diameter of the turbine shaft, which is 300 mm. We need to convert it to meters for further calculations.
d = 300 mm = 0.3 m
Substituting the values in the formula:
A = π * 0.3 * L
Step 2: Calculate the load on the bearing
The load on the bearing can be calculated using the formula:
Load = π * d * L * ω * ρ
Where:
- Load is the load on the bearing
- d is the diameter of the journal
- L is the length of the bearing
- ω is the angular velocity of the turbine shaft
- ρ is the density of the fluid in the bearing (assumed to be constant)
We are given the angular velocity of the turbine shaft, which is 1800 rpm. We need to convert it to radians per second for further calculations.
ω = 1800 rpm * (2π rad/rev) / (60 s/min) = 188.5 rad/s
Substituting the values in the formula:
150 kN = π * 0.3 * L * 188.5 * ρ
Step 3: Calculate the length of the bearing
Now we can solve the equation for the length of the bearing (L):
L = (150 kN) / (π * 0.3 * 188.5 * ρ)
To calculate the length of the bearing, we need the value of ρ (density of the fluid). However, this value is not provided in the given information. Without this value, we cannot calculate the length of the bearing accurately.
Therefore, it is not possible to determine the length of the bearing with the given information.
The load on the journal hearing is 150 kN due to turbine shaft of 300...
The load on the journal bearing is 150 kN due to turbine shaft of 300mm diameter running at 1800 rpm. Determine the following: (K3-3) a. length of the bearing if the allowable bearing pressure is 1.6 N/mm2 , and b. amount of heat to be removed by the lubricant per minute if the bearing temperature is 600C and viscosity of the oil is 0.02kg/m-s and the bearing clearance is 0.25mm
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