Vertical Reaction on Bearing 1 of centre crankshaft due to radial force at max torque Solution

STEP 0: Pre-Calculation Summary
Formula Used
Vertical Reaction at Bearing 1 Due to Radial Force = (Radial Force at Crank Pin*Centre Crankshaft Bearing2 Gap from CrankPinCentre)/Gap Between Bearing 1&2 of Centre Crankshaft
R1v = (Pr*b2)/b
This formula uses 4 Variables
Variables Used
Vertical Reaction at Bearing 1 Due to Radial Force - (Measured in Newton) - Vertical Reaction at Bearing 1 Due to Radial Force is the vertical reaction force on the 1st bearing of the crankshaft because of the radial component of thrust force acting on connecting rod.
Radial Force at Crank Pin - (Measured in Newton) - Radial Force at Crank Pin is the component of thrust force on connecting rod acting at the crankpin in the direction radially to the connecting rod.
Centre Crankshaft Bearing2 Gap from CrankPinCentre - (Measured in Meter) - Centre Crankshaft Bearing2 Gap from CrankPinCentre is the distance between the 2nd bearing of a centre crankshaft and the line of action of force on the crank pin.
Gap Between Bearing 1&2 of Centre Crankshaft - (Measured in Meter) - Gap Between Bearing 1&2 of Centre Crankshaft is the distance between the 1st and 2nd bearing of a centre crankshaft.
STEP 1: Convert Input(s) to Base Unit
Radial Force at Crank Pin: 21500 Newton --> 21500 Newton No Conversion Required
Centre Crankshaft Bearing2 Gap from CrankPinCentre: 250 Millimeter --> 0.25 Meter (Check conversion ​here)
Gap Between Bearing 1&2 of Centre Crankshaft: 300 Millimeter --> 0.3 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R1v = (Pr*b2)/b --> (21500*0.25)/0.3
Evaluating ... ...
R1v = 17916.6666666667
STEP 3: Convert Result to Output's Unit
17916.6666666667 Newton --> No Conversion Required
FINAL ANSWER
17916.6666666667 17916.67 Newton <-- Vertical Reaction at Bearing 1 Due to Radial Force
(Calculation completed in 00.008 seconds)

Credits

Creator Image
Created by Saurabh Patil
Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
Saurabh Patil has created this Calculator and 700+ more calculators!
Verifier Image
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

Bearings Reactions at Angle of Maximum Torque Calculators

Horizontal Reaction on Bearing 1 of centre crankshaft due to tangential force at max torque
​ LaTeX ​ Go Horizontal Force at Bearing1 by Tangential Force = (Tangential Force at Crank Pin*Centre Crankshaft Bearing2 Gap from CrankPinCentre)/Gap Between Bearing 1&2 of Centre Crankshaft
Horizontal Reaction on Bearing 2 of centre crankshaft due to tangential force at max torque
​ LaTeX ​ Go Horizontal Force at Bearing2 by Tangential Force = (Tangential Force at Crank Pin*Centre Crankshaft Bearing1 Gap from CrankPinCentre)/Gap Between Bearing 1&2 of Centre Crankshaft
Vertical Reaction on Bearing 2 of centre crankshaft due to radial force at max torque
​ LaTeX ​ Go Vertical Reaction at Bearing 2 Due to Radial Force = (Radial Force at Crank Pin*Centre Crankshaft Bearing1 Gap from CrankPinCentre)/Gap Between Bearing 1&2 of Centre Crankshaft
Force acting on piston top due to gas pressure for maximum torque on center crankshaft
​ LaTeX ​ Go Force on Piston Head = (pi*Diameter of Piston^2*Gas Pressure on Piston Top)/4

Vertical Reaction on Bearing 1 of centre crankshaft due to radial force at max torque Formula

​LaTeX ​Go
Vertical Reaction at Bearing 1 Due to Radial Force = (Radial Force at Crank Pin*Centre Crankshaft Bearing2 Gap from CrankPinCentre)/Gap Between Bearing 1&2 of Centre Crankshaft
R1v = (Pr*b2)/b

Forces on Crank Shaft

The crankshaft is supported on three bearings 1, 2, and 3. It is assumed that the portion of the crankshaft between bearings 1 and 2 is simply supported on bearings and subjected to tangential force Pt and radial force Pr at the crankpin. Due to the tangential component Pt, there are reactions (R1)h and (R2)h at bearings 1 and 2 respectively. Similarly, due to the radial component Pr, there are reactions (R1)v and (R2)v at bearings 1 and 2 respectively. It is also assumed that the portion of the crankshaft between bearings 2 and 3 is simply supported on bearings and subjected to vertical force W and horizontal force (P1 + P2).

How to Calculate Vertical Reaction on Bearing 1 of centre crankshaft due to radial force at max torque?

Vertical Reaction on Bearing 1 of centre crankshaft due to radial force at max torque calculator uses Vertical Reaction at Bearing 1 Due to Radial Force = (Radial Force at Crank Pin*Centre Crankshaft Bearing2 Gap from CrankPinCentre)/Gap Between Bearing 1&2 of Centre Crankshaft to calculate the Vertical Reaction at Bearing 1 Due to Radial Force, Vertical Reaction on Bearing 1 of centre crankshaft due to radial force at max torque is the vertical reaction force acting on the 1st bearing of the center crankshaft because of the radial component of force acting on the connecting rod, designed for when the crank is at an angle of maximum torque and subjected to maximum torsional moment. Vertical Reaction at Bearing 1 Due to Radial Force is denoted by R1v symbol.

How to calculate Vertical Reaction on Bearing 1 of centre crankshaft due to radial force at max torque using this online calculator? To use this online calculator for Vertical Reaction on Bearing 1 of centre crankshaft due to radial force at max torque, enter Radial Force at Crank Pin (Pr), Centre Crankshaft Bearing2 Gap from CrankPinCentre (b2) & Gap Between Bearing 1&2 of Centre Crankshaft (b) and hit the calculate button. Here is how the Vertical Reaction on Bearing 1 of centre crankshaft due to radial force at max torque calculation can be explained with given input values -> 17916.67 = (21500*0.25)/0.3.

FAQ

What is Vertical Reaction on Bearing 1 of centre crankshaft due to radial force at max torque?
Vertical Reaction on Bearing 1 of centre crankshaft due to radial force at max torque is the vertical reaction force acting on the 1st bearing of the center crankshaft because of the radial component of force acting on the connecting rod, designed for when the crank is at an angle of maximum torque and subjected to maximum torsional moment and is represented as R1v = (Pr*b2)/b or Vertical Reaction at Bearing 1 Due to Radial Force = (Radial Force at Crank Pin*Centre Crankshaft Bearing2 Gap from CrankPinCentre)/Gap Between Bearing 1&2 of Centre Crankshaft. Radial Force at Crank Pin is the component of thrust force on connecting rod acting at the crankpin in the direction radially to the connecting rod, Centre Crankshaft Bearing2 Gap from CrankPinCentre is the distance between the 2nd bearing of a centre crankshaft and the line of action of force on the crank pin & Gap Between Bearing 1&2 of Centre Crankshaft is the distance between the 1st and 2nd bearing of a centre crankshaft.
How to calculate Vertical Reaction on Bearing 1 of centre crankshaft due to radial force at max torque?
Vertical Reaction on Bearing 1 of centre crankshaft due to radial force at max torque is the vertical reaction force acting on the 1st bearing of the center crankshaft because of the radial component of force acting on the connecting rod, designed for when the crank is at an angle of maximum torque and subjected to maximum torsional moment is calculated using Vertical Reaction at Bearing 1 Due to Radial Force = (Radial Force at Crank Pin*Centre Crankshaft Bearing2 Gap from CrankPinCentre)/Gap Between Bearing 1&2 of Centre Crankshaft. To calculate Vertical Reaction on Bearing 1 of centre crankshaft due to radial force at max torque, you need Radial Force at Crank Pin (Pr), Centre Crankshaft Bearing2 Gap from CrankPinCentre (b2) & Gap Between Bearing 1&2 of Centre Crankshaft (b). With our tool, you need to enter the respective value for Radial Force at Crank Pin, Centre Crankshaft Bearing2 Gap from CrankPinCentre & Gap Between Bearing 1&2 of Centre Crankshaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!