Resultant reaction at Bearing 1 of side crankshaft at TDC position Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resultant Reaction on CrankShaft Bearing 1 = sqrt((Vertical Reaction at Bearing 1 due to Flywheel+Vertical Reaction at Bearing 1 due to Crankpin)^2+(Horizontal Reaction at Bearing 1 due to Belt)^2)
R1 = sqrt((R'1v+R1V)^2+(R'1h)^2)
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Resultant Reaction on CrankShaft Bearing 1 - (Measured in Newton) - Resultant Reaction on CrankShaft Bearing 1 is the total reaction force on the 1st bearing of the crankshaft.
Vertical Reaction at Bearing 1 due to Flywheel - (Measured in Newton) - Vertical Reaction at Bearing 1 due to Flywheel Weight is the vertical reaction force acting on the 1st bearing of the crankshaft because of the weight of the flywheel.
Vertical Reaction at Bearing 1 due to Crankpin - (Measured in Newton) - Vertical Reaction at Bearing 1 due to Crankpin Force is the vertical reaction force acting on the 1st bearing of the crankshaft because of the force acting onto the crankpin.
Horizontal Reaction at Bearing 1 due to Belt - (Measured in Newton) - Horizontal Reaction at Bearing 1 due to Belt Tension is the horizontal reaction force acting on the 1st bearing of the crankshaft because of the belt tensions.
STEP 1: Convert Input(s) to Base Unit
Vertical Reaction at Bearing 1 due to Flywheel: 2300 Newton --> 2300 Newton No Conversion Required
Vertical Reaction at Bearing 1 due to Crankpin: 11050 Newton --> 11050 Newton No Conversion Required
Horizontal Reaction at Bearing 1 due to Belt: 2500 Newton --> 2500 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R1 = sqrt((R'1v+R1V)^2+(R'1h)^2) --> sqrt((2300+11050)^2+(2500)^2)
Evaluating ... ...
R1 = 13582.0653804935
STEP 3: Convert Result to Output's Unit
13582.0653804935 Newton --> No Conversion Required
FINAL ANSWER
13582.0653804935 13582.07 Newton <-- Resultant Reaction on CrankShaft Bearing 1
(Calculation completed in 00.020 seconds)

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10+ Bearing Reactions at Top Dead Centre Position Calculators

Vertical Reaction on Bearing 1 of side crankshaft at TDC position due to force on crank pin
Go Vertical Reaction at Bearing 1 due to Crankpin = (Force on Crank Pin*(Overhang Distance of Piston Force from Bearing1+Distance Between Bearing1&2 of Side Crankshaft))/Distance Between Bearing1&2 of Side Crankshaft
Resultant reaction at Bearing 1 of side crankshaft at TDC position
Go Resultant Reaction on CrankShaft Bearing 1 = sqrt((Vertical Reaction at Bearing 1 due to Flywheel+Vertical Reaction at Bearing 1 due to Crankpin)^2+(Horizontal Reaction at Bearing 1 due to Belt)^2)
Horizontal Reaction on Bearing 2 of side crankshaft at TDC position due to belt tension
Go Horizontal Reaction at Bearing 2 due to Belt = ((Belt Tension in Tight Side+Belt Tension in loose Side)*Side Crankshaft Bearing1 gap from Flywheel)/Distance Between Bearing1&2 of Side Crankshaft
Horizontal Reaction on Bearing 1 of side crankshaft at TDC position due to belt tension
Go Horizontal Reaction at Bearing 1 due to Belt = ((Belt Tension in Tight Side+Belt Tension in loose Side)*Side Crankshaft Bearing2 gap from Flywheel)/Distance Between Bearing1&2 of Side Crankshaft
Vertical Reaction on Bearing 2 of side crankshaft at TDC position due to force on crank pin
Go Vertical Reaction at Bearing 2 due to Crankpin = (Force on Crank Pin*Overhang Distance of Piston Force from Bearing1)/Distance Between Bearing1&2 of Side Crankshaft
Distance between Bearing 1 and 2 of Side Crankshaft at TDC Position
Go Distance Between Bearing1&2 of Side Crankshaft = (Force on Crank Pin*Overhang Distance of Piston Force from Bearing1)/Vertical Reaction at Bearing 2 due to Crankpin
Resultant reaction at Bearing 1 of side crankshaft at TDC position given bearing pressure
Go Resultant Reaction on CrankShaft Bearing 1 = Bearing Pressure of Journal at Bearing 1*Diameter of Journal or Shaft at Bearing 1*Length of Bearing1 of Crankshaft
Vertical Reaction on Bearing 2 of side crankshaft at TDC position due to weight of flywheel
Go Vertical Reaction at Bearing 2 due to Flywheel = (Side Crankshaft Bearing1 gap from Flywheel*Weight of Flywheel)/Distance Between Bearing1&2 of Side Crankshaft
Vertical Reaction on Bearing 1 of side crankshaft at TDC position due to weight of flywheel
Go Vertical Reaction at Bearing 1 due to Flywheel = (Side Crankshaft Bearing2 gap from Flywheel*Weight of Flywheel)/Distance Between Bearing1&2 of Side Crankshaft
Horizontal Reaction on Bearing 1 of side crankshaft at TDC position by belt tension given moment
Go Horizontal Reaction at Bearing 1 due to Belt = Horizontal Bending Moment in Shaft Under Flywheel/Side Crankshaft Bearing1 gap from Flywheel

Resultant reaction at Bearing 1 of side crankshaft at TDC position Formula

Resultant Reaction on CrankShaft Bearing 1 = sqrt((Vertical Reaction at Bearing 1 due to Flywheel+Vertical Reaction at Bearing 1 due to Crankpin)^2+(Horizontal Reaction at Bearing 1 due to Belt)^2)
R1 = sqrt((R'1v+R1V)^2+(R'1h)^2)

Some types of Bearings

1. Deep-Groove Ball Bearings
2. Angular Contact Ball Bearings
3. Self-Aligning Ball Bearings
4. Thrust Ball Bearings
5. Spherical Roller Bearings
6. Cylindrical Roller Bearings
7. Tapered Roller Bearings
8. Needle Roller Bearings

Bearing Strength

In essence, bearing strength is the maximum stress load that the unit can “bear” or hold before the structure fails. But bearing strength can also be measured in terms of tensile, compression, and flexural strength, plus bearing hardness.

How to Calculate Resultant reaction at Bearing 1 of side crankshaft at TDC position?

Resultant reaction at Bearing 1 of side crankshaft at TDC position calculator uses Resultant Reaction on CrankShaft Bearing 1 = sqrt((Vertical Reaction at Bearing 1 due to Flywheel+Vertical Reaction at Bearing 1 due to Crankpin)^2+(Horizontal Reaction at Bearing 1 due to Belt)^2) to calculate the Resultant Reaction on CrankShaft Bearing 1, Resultant reaction at Bearing 1 of side crankshaft at TDC position is the total reaction force acting onto the 1st bearing of a side crankshaft at TDC position due to the crankpin force, flywheel weight & belt tensions; And the side crankshaft is designed for when the crank is at the top dead center position. Resultant Reaction on CrankShaft Bearing 1 is denoted by R1 symbol.

How to calculate Resultant reaction at Bearing 1 of side crankshaft at TDC position using this online calculator? To use this online calculator for Resultant reaction at Bearing 1 of side crankshaft at TDC position, enter Vertical Reaction at Bearing 1 due to Flywheel (R'1v), Vertical Reaction at Bearing 1 due to Crankpin (R1V) & Horizontal Reaction at Bearing 1 due to Belt (R'1h) and hit the calculate button. Here is how the Resultant reaction at Bearing 1 of side crankshaft at TDC position calculation can be explained with given input values -> 13582.07 = sqrt((2300+11050)^2+(2500)^2).

FAQ

What is Resultant reaction at Bearing 1 of side crankshaft at TDC position?
Resultant reaction at Bearing 1 of side crankshaft at TDC position is the total reaction force acting onto the 1st bearing of a side crankshaft at TDC position due to the crankpin force, flywheel weight & belt tensions; And the side crankshaft is designed for when the crank is at the top dead center position and is represented as R1 = sqrt((R'1v+R1V)^2+(R'1h)^2) or Resultant Reaction on CrankShaft Bearing 1 = sqrt((Vertical Reaction at Bearing 1 due to Flywheel+Vertical Reaction at Bearing 1 due to Crankpin)^2+(Horizontal Reaction at Bearing 1 due to Belt)^2). Vertical Reaction at Bearing 1 due to Flywheel Weight is the vertical reaction force acting on the 1st bearing of the crankshaft because of the weight of the flywheel, Vertical Reaction at Bearing 1 due to Crankpin Force is the vertical reaction force acting on the 1st bearing of the crankshaft because of the force acting onto the crankpin & Horizontal Reaction at Bearing 1 due to Belt Tension is the horizontal reaction force acting on the 1st bearing of the crankshaft because of the belt tensions.
How to calculate Resultant reaction at Bearing 1 of side crankshaft at TDC position?
Resultant reaction at Bearing 1 of side crankshaft at TDC position is the total reaction force acting onto the 1st bearing of a side crankshaft at TDC position due to the crankpin force, flywheel weight & belt tensions; And the side crankshaft is designed for when the crank is at the top dead center position is calculated using Resultant Reaction on CrankShaft Bearing 1 = sqrt((Vertical Reaction at Bearing 1 due to Flywheel+Vertical Reaction at Bearing 1 due to Crankpin)^2+(Horizontal Reaction at Bearing 1 due to Belt)^2). To calculate Resultant reaction at Bearing 1 of side crankshaft at TDC position, you need Vertical Reaction at Bearing 1 due to Flywheel (R'1v), Vertical Reaction at Bearing 1 due to Crankpin (R1V) & Horizontal Reaction at Bearing 1 due to Belt (R'1h). With our tool, you need to enter the respective value for Vertical Reaction at Bearing 1 due to Flywheel, Vertical Reaction at Bearing 1 due to Crankpin & Horizontal Reaction at Bearing 1 due to Belt and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Resultant Reaction on CrankShaft Bearing 1?
In this formula, Resultant Reaction on CrankShaft Bearing 1 uses Vertical Reaction at Bearing 1 due to Flywheel, Vertical Reaction at Bearing 1 due to Crankpin & Horizontal Reaction at Bearing 1 due to Belt. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Resultant Reaction on CrankShaft Bearing 1 = Bearing Pressure of Journal at Bearing 1*Diameter of Journal or Shaft at Bearing 1*Length of Bearing1 of Crankshaft
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