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

GoResultant reaction at Bearing 1 of side crankshaft at TDC position given bearing pressure Formula

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Resultant Reaction on Crank Shaft Bearing 1 is the total reaction force on the 1st bearing of the crankshaft. Check FAQs

R 1 = \sqrt{{(R f1 + R v1)}^{2} + {R h1}^{2}}

R₁ - Resultant Reaction on Crank Shaft Bearing 1?R_f1 - Vertical Reaction at Bearing 1 due to Flywheel?R_v1 - Vertical Reaction at Bearing 1 due to Crankpin?R_h1 - Horizontal Reaction at Bearing 1 due to Belt?

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

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Here is how the Resultant reaction at Bearing 1 of side crankshaft at TDC position equation looks like with Values.

Here is how the Resultant reaction at Bearing 1 of side crankshaft at TDC position equation looks like with Units.

Here is how the Resultant reaction at Bearing 1 of side crankshaft at TDC position equation looks like.

29751.1661 = \sqrt{{(500 + 29250)}^{2} + {263.414}^{2}}

29751.1661N = \sqrt{{(500N + 29250N)}^{2} + {263.414N}^{2}}

29751.1661 = \sqrt{{(500 + 29250)}^{2} + {263.414}^{2}}

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

Follow our step by step solution on how to calculate Resultant reaction at Bearing 1 of side crankshaft at TDC position?

FIRST Step Consider the formula

R 1 = \sqrt{{(R f1 + R v1)}^{2} + {R h1}^{2}}

Next Step Substitute values of Variables

∴

R 1 = \sqrt{{(500N + 29250N)}^{2} + {263.414N}^{2}}

Next Step Prepare to Evaluate

∴

R 1 = \sqrt{{(500 + 29250)}^{2} + {263.414}^{2}}

Next Step Evaluate

∴

R 1 = 29751.1661441261N

LAST Step Rounding Answer

∴

R 1 = 29751.1661N

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

Variables

Functions

Resultant Reaction on Crank Shaft Bearing 1

Resultant Reaction on Crank Shaft Bearing 1 is the total reaction force on the 1st bearing of the crankshaft.

Symbol: R₁

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Resultant Reaction on Crank Shaft Bearing 1

Vertical Reaction at Bearing 1 due to Flywheel

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.

Symbol: R_f1

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Vertical Reaction at Bearing 1 due to Flywheel

Vertical Reaction at Bearing 1 due to Crankpin

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.

Symbol: R_v1

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Vertical Reaction at Bearing 1 due to Crankpin

Horizontal Reaction at Bearing 1 due to Belt

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.

Symbol: R_h1

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Horizontal Reaction at Bearing 1 due to Belt

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.

Syntax: sqrt(Number)

Other Formulas to find Resultant Reaction on Crank Shaft Bearing 1

Go Resultant reaction at Bearing 1 of side crankshaft at TDC position given bearing pressure

R 1 = P b \cdot d 1 \cdot l 1

Other formulas in Bearing Reactions at Top Dead Centre Position category

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

R v1 = \frac{P p \cdot (b + c)}{c}

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

R v2 = \frac{P p \cdot b}{c}

Go Horizontal Reaction on Bearing 2 of side crankshaft at TDC position due to belt tension

R h2 = \frac{(P 1 + P 2) \cdot c 1}{c}

Go Horizontal Reaction on Bearing 1 of side crankshaft at TDC position due to belt tension

R h1 = \frac{(P 1 + P 2) \cdot c 2}{c}

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

Resultant reaction at Bearing 1 of side crankshaft at TDC position evaluator uses Resultant Reaction on Crank Shaft 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 evaluate the Resultant Reaction on Crank Shaft 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 Crank Shaft Bearing 1 is denoted by R₁ symbol.

How to evaluate Resultant reaction at Bearing 1 of side crankshaft at TDC position using this online evaluator? To use this online evaluator for Resultant reaction at Bearing 1 of side crankshaft at TDC position, enter Vertical Reaction at Bearing 1 due to Flywheel (R_f1), Vertical Reaction at Bearing 1 due to Crankpin (R_v1) & Horizontal Reaction at Bearing 1 due to Belt (R_h1) and hit the calculate button.

FAQs on Resultant reaction at Bearing 1 of side crankshaft at TDC position

What is the formula to find Resultant reaction at Bearing 1 of side crankshaft at TDC position?

The formula of Resultant reaction at Bearing 1 of side crankshaft at TDC position is expressed as Resultant Reaction on Crank Shaft 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). Here is an example- 29751.51 = sqrt((500+29250)^2+263.414^2).

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

With Vertical Reaction at Bearing 1 due to Flywheel (R_f1), Vertical Reaction at Bearing 1 due to Crankpin (R_v1) & Horizontal Reaction at Bearing 1 due to Belt (R_h1) we can find Resultant reaction at Bearing 1 of side crankshaft at TDC position using the formula - Resultant Reaction on Crank Shaft 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). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Resultant Reaction on Crank Shaft Bearing 1?

Here are the different ways to Calculate Resultant Reaction on Crank Shaft Bearing 1-

Resultant Reaction on Crank Shaft Bearing 1=Bearing Pressure of Journal at Bearing 1*Diameter of Journal or Shaft at Bearing 1*Length of Bearing1 of Crankshaft

Can the Resultant reaction at Bearing 1 of side crankshaft at TDC position be negative?

No, the Resultant reaction at Bearing 1 of side crankshaft at TDC position, measured in Force cannot be negative.

Which unit is used to measure Resultant reaction at Bearing 1 of side crankshaft at TDC position?

Resultant reaction at Bearing 1 of side crankshaft at TDC position is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Resultant reaction at Bearing 1 of side crankshaft at TDC position can be measured.

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

​GoResultant reaction at Bearing 1 of side crankshaft at TDC position given bearing pressure Formula

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

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

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

Other Formulas to find Resultant Reaction on Crank Shaft Bearing 1

Other formulas in Bearing Reactions at Top Dead Centre Position category

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

FAQs on Resultant reaction at Bearing 1 of side crankshaft at TDC position

Variable Name

GoResultant reaction at Bearing 1 of side crankshaft at TDC position given bearing pressure Formula