Resultant Reaction on Bearing 3 of centre crankshaft at TDC position Calculator

✖Vertical Reaction at Bearing 3 due to Flywheel Weight is the vertical reaction force acting on the 3rd bearing of the crankshaft because of the weight of the flywheel.ⓘ Vertical Reaction at Bearing 3 due to Flywheel [R_v3]			+10% -10%
✖Horizontal Reaction at Bearing 3 by Belt Tension is the horizontal reaction force acting on the 3rd bearing of the crankshaft because of the belt tensions.ⓘ Horizontal Reaction at Bearing 3 by Belt Tension [R_h3]			+10% -10%

✖Resultant Reaction on CrankShaft Bearing 3 is the total reaction force on the 3rd bearing of the crankshaft.ⓘ Resultant Reaction on Bearing 3 of centre crankshaft at TDC position [R₃]

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Resultant Reaction on Bearing 3 of centre crankshaft at TDC position Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resultant Reaction on CrankShaft Bearing 3 = sqrt(Vertical Reaction at Bearing 3 due to Flywheel^2+Horizontal Reaction at Bearing 3 by Belt Tension^2)
R₃ = sqrt(R_v3^2+R_h3^2)
This formula uses 1 Functions, 3 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 3 - (Measured in Newton) - Resultant Reaction on CrankShaft Bearing 3 is the total reaction force on the 3rd bearing of the crankshaft.
Vertical Reaction at Bearing 3 due to Flywheel - (Measured in Newton) - Vertical Reaction at Bearing 3 due to Flywheel Weight is the vertical reaction force acting on the 3rd bearing of the crankshaft because of the weight of the flywheel.
Horizontal Reaction at Bearing 3 by Belt Tension - (Measured in Newton) - Horizontal Reaction at Bearing 3 by Belt Tension is the horizontal reaction force acting on the 3rd bearing of the crankshaft because of the belt tensions.

STEP 1: Convert Input(s) to Base Unit

Vertical Reaction at Bearing 3 due to Flywheel: 1300.1 Newton --> 1300.1 Newton No Conversion Required
Horizontal Reaction at Bearing 3 by Belt Tension: 920.1 Newton --> 920.1 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R₃ = sqrt(R_v3^2+R_h3^2) --> sqrt(1300.1^2+920.1^2)

Evaluating ... ...

R₃ = 1592.74731831512

STEP 3: Convert Result to Output's Unit

1592.74731831512 Newton --> No Conversion Required

FINAL ANSWER

1592.74731831512 ≈ 1592.747 Newton <-- Resultant Reaction on CrankShaft Bearing 3

(Calculation completed in 00.004 seconds)

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Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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< Bearing Reactions at Top Dead Centre Position Calculators

Vertical Reaction on Bearing 2 of centre crankshaft at TDC position due to force on crank pin

LaTeX Go Vertical Reaction at Bearing 2 due to Crankpin = Force on Crank Pin*Centre Crankshaft Bearing1 Gap from CrankPinCentre/Distance Between Bearing 1&2 of Centre Crankshaft

Vertical Reaction on Bearing 1 of centre crankshaft at TDC position due to force on crank pin

LaTeX Go Vertical Reaction at Bearing 1 due to Crankpin = Force on Crank Pin*Centre Crankshaft Bearing2 Gap from CrankPinCentre/Distance Between Bearing 1&2 of Centre Crankshaft

Vertical Reaction on Bearing 3 of centre crankshaft at TDC position due to weight of flywheel

LaTeX Go Vertical Reaction at Bearing 3 due to Flywheel = Weight of Flywheel*Centre Crankshaft Bearing2 Gap from Flywheel/Distance Between Bearing 2&3 of Centre Crankshaft

Force on Crank Pin due to gas pressure inside cylinder

LaTeX Go Force on Crank Pin = pi*Inner Diameter of Engine Cylinder^2*Maximum Gas Pressure Inside Cylinder/4

Resultant Reaction on Bearing 3 of centre crankshaft at TDC position Formula

LaTeX Go

Resultant Reaction on CrankShaft Bearing 3 = sqrt(Vertical Reaction at Bearing 3 due to Flywheel^2+Horizontal Reaction at Bearing 3 by Belt Tension^2)
R₃ = sqrt(R_v3^2+R_h3^2)

Types of Crank Shaft

There are two types of crankshafts—side crankshaft and center crankshaft. The side crankshaft is also called the ‘overhung’ crankshaft. It has only one crank web and requires only two bearings for support. It is used in medium-size engines and large-size horizontal engines. The center crankshaft has two webs and three bearings for support. It is used in radial aircraft engines, stationary engines, and marine engines. It is more popular in automotive engines. Crankshafts are also classified as single-throw and multi-throw crankshafts depending upon the number of crankpins used in the assembly. Crankshafts used in multi-cylinder engines have more than one crank pin. They are called multi-throw crankshafts.

Design of Centre Crankshaft

A crankshaft is subjected to bending and torsional moments due to the following three forces: (i) Force exerted by the connecting rod on the crank pin. (ii) Weight of flywheel acting downward in the vertical direction. (iii) Resultant belt tensions acting in the horizontal direction. In the design of the center crankshaft, two cases of the crank, positions are considered. They are as follows: Case I: The crank is at the top dead center position and subjected to maximum bending moment and no torsional moment. Case II: The crank is at an angle with the line of dead center positions and subjected to maximum torsional moment.

How to Calculate Resultant Reaction on Bearing 3 of centre crankshaft at TDC position?

Resultant Reaction on Bearing 3 of centre crankshaft at TDC position calculator uses Resultant Reaction on CrankShaft Bearing 3 = sqrt(Vertical Reaction at Bearing 3 due to Flywheel^2+Horizontal Reaction at Bearing 3 by Belt Tension^2) to calculate the Resultant Reaction on CrankShaft Bearing 3, Resultant Reaction on Bearing 3 of centre crankshaft at TDC position is the total reaction force acting onto the 3rd bearing of a centre crankshaft at TDC position due to the force on the crankpin, designed for when the crank is at the top dead centre position and subjected to maximum bending moment and no torsional moment. Resultant Reaction on CrankShaft Bearing 3 is denoted by R₃ symbol.

How to calculate Resultant Reaction on Bearing 3 of centre crankshaft at TDC position using this online calculator? To use this online calculator for Resultant Reaction on Bearing 3 of centre crankshaft at TDC position, enter Vertical Reaction at Bearing 3 due to Flywheel (R_v3) & Horizontal Reaction at Bearing 3 by Belt Tension (R_h3) and hit the calculate button. Here is how the Resultant Reaction on Bearing 3 of centre crankshaft at TDC position calculation can be explained with given input values -> 1592.747 = sqrt(1300.1^2+920.1^2).

FAQ

What is Resultant Reaction on Bearing 3 of centre crankshaft at TDC position?

Resultant Reaction on Bearing 3 of centre crankshaft at TDC position is the total reaction force acting onto the 3rd bearing of a centre crankshaft at TDC position due to the force on the crankpin, designed for when the crank is at the top dead centre position and subjected to maximum bending moment and no torsional moment and is represented as R₃ = sqrt(R_v3^2+R_h3^2) or Resultant Reaction on CrankShaft Bearing 3 = sqrt(Vertical Reaction at Bearing 3 due to Flywheel^2+Horizontal Reaction at Bearing 3 by Belt Tension^2). Vertical Reaction at Bearing 3 due to Flywheel Weight is the vertical reaction force acting on the 3rd bearing of the crankshaft because of the weight of the flywheel & Horizontal Reaction at Bearing 3 by Belt Tension is the horizontal reaction force acting on the 3rd bearing of the crankshaft because of the belt tensions.

How to calculate Resultant Reaction on Bearing 3 of centre crankshaft at TDC position?

Resultant Reaction on Bearing 3 of centre crankshaft at TDC position is the total reaction force acting onto the 3rd bearing of a centre crankshaft at TDC position due to the force on the crankpin, designed for when the crank is at the top dead centre position and subjected to maximum bending moment and no torsional moment is calculated using Resultant Reaction on CrankShaft Bearing 3 = sqrt(Vertical Reaction at Bearing 3 due to Flywheel^2+Horizontal Reaction at Bearing 3 by Belt Tension^2). To calculate Resultant Reaction on Bearing 3 of centre crankshaft at TDC position, you need Vertical Reaction at Bearing 3 due to Flywheel (R_v3) & Horizontal Reaction at Bearing 3 by Belt Tension (R_h3). With our tool, you need to enter the respective value for Vertical Reaction at Bearing 3 due to Flywheel & Horizontal Reaction at Bearing 3 by Belt Tension and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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