Output Load at Rack given Movement Ratio Calculator

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Front Axle and Steering

Driveline

Race Car Vehicle Dynamics

Suspension Geometry

Vehicle Collision

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Movement Ratio

Moments, Loads, Angles acting on Steering system and Axles

Pivot Centre, Wheel Base and Track

Steering System

Turning Radius

✖Movement Ratio is defined as the ratio of the distance moved by the effort to the distance moved by the load.ⓘ Movement Ratio [MR]			+10% -10%
✖Input Effort at Stepping Wheel is the force applied on to the steering wheel to turn it.ⓘ Input Effort at Stepping Wheel [E]			+10% -10%

✖Output Load at Rack is the force that is transmitted to the pivot arm at end of rack.ⓘ Output Load at Rack given Movement Ratio [W]

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Formula

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Output Load at Rack given Movement Ratio

Formula

`"W" = "MR"*"E"`

Example

`"750N"="15"*"50N"`

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Output Load at Rack given Movement Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Output Load at Rack = Movement Ratio*Input Effort at Stepping Wheel
W = MR*E
This formula uses 3 Variables

Variables Used

Output Load at Rack - (Measured in Newton) - Output Load at Rack is the force that is transmitted to the pivot arm at end of rack.
Movement Ratio - Movement Ratio is defined as the ratio of the distance moved by the effort to the distance moved by the load.
Input Effort at Stepping Wheel - (Measured in Newton) - Input Effort at Stepping Wheel is the force applied on to the steering wheel to turn it.

STEP 1: Convert Input(s) to Base Unit

Movement Ratio: 15 --> No Conversion Required
Input Effort at Stepping Wheel: 50 Newton --> 50 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = MR*E --> 15*50

Evaluating ... ...

W = 750

STEP 3: Convert Result to Output's Unit

750 Newton --> No Conversion Required

FINAL ANSWER

750 Newton <-- Output Load at Rack

(Calculation completed in 00.020 seconds)

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Credits

Created by Peri Krishna Karthik

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

Peri Krishna Karthik has created this Calculator and 200+ more calculators!

Verified by sanjay shiva

national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh

sanjay shiva has verified this Calculator and 100+ more calculators!

< 9 Movement Ratio Calculators

Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch

Go Radius of Steering Wheel = Movement Ratio/(2*pi/(Number of Teeth on Pnion*Circular Pitch of Pinion))

Movement Ratio given Number of Teeth on Pinion

Go Movement Ratio = 2*pi*Radius of Steering Wheel/(Number of Teeth on Pnion*Circular Pitch of Pinion)

Pinion Teeth given Movement Ratio

Go Number of Teeth on Pnion = 2*pi*Radius of Steering Wheel/(Circular Pitch of Pinion*Movement Ratio)

Radius of Pinion Pitch Circle given Movement Ratio

Go Radius of Pitch Circle of Pinion = Radius of Steering Wheel/Movement Ratio

Radius of Steering Wheel given Movement Ratio

Go Radius of Steering Wheel = Movement Ratio*Radius of Pitch Circle of Pinion

Movement Ratio

Go Movement Ratio = Radius of Steering Wheel/Radius of Pitch Circle of Pinion

Input Effort at Steering Wheel given Movement Ratio

Go Input Effort at Stepping Wheel = Output Load at Rack/Movement Ratio

Output Load at Rack given Movement Ratio

Go Output Load at Rack = Movement Ratio*Input Effort at Stepping Wheel

Movement Ratio given Load and Effort

Go Movement Ratio = Output Load at Rack/Input Effort at Stepping Wheel

Output Load at Rack given Movement Ratio Formula

Output Load at Rack = Movement Ratio*Input Effort at Stepping Wheel
W = MR*E

Rack and Pinion Steering System

It is used on light vehicles like cars and in power steering. It is simple, light and responsive and occupies a very small space and used a lesser number of linkage components compared to the worm and wheel type of gear. The rotary movement of steering wheel is transmitted with rack. The circular motion of the pinion is transformed into linear rack movement, which is further relayed through ball joints and tie rods to the stub axles for the wheels to be steered.

How to Calculate Output Load at Rack given Movement Ratio?

Output Load at Rack given Movement Ratio calculator uses Output Load at Rack = Movement Ratio*Input Effort at Stepping Wheel to calculate the Output Load at Rack, The Output Load at Rack given Movement Ratio formula is used to find the force that is transmitted to the pivot arm at end of the rack. Output Load at Rack is denoted by W symbol.

How to calculate Output Load at Rack given Movement Ratio using this online calculator? To use this online calculator for Output Load at Rack given Movement Ratio, enter Movement Ratio (MR) & Input Effort at Stepping Wheel (E) and hit the calculate button. Here is how the Output Load at Rack given Movement Ratio calculation can be explained with given input values -> 750 = 15*50.

FAQ

What is Output Load at Rack given Movement Ratio?

The Output Load at Rack given Movement Ratio formula is used to find the force that is transmitted to the pivot arm at end of the rack and is represented as W = MR*E or Output Load at Rack = Movement Ratio*Input Effort at Stepping Wheel. Movement Ratio is defined as the ratio of the distance moved by the effort to the distance moved by the load & Input Effort at Stepping Wheel is the force applied on to the steering wheel to turn it.

How to calculate Output Load at Rack given Movement Ratio?

The Output Load at Rack given Movement Ratio formula is used to find the force that is transmitted to the pivot arm at end of the rack is calculated using Output Load at Rack = Movement Ratio*Input Effort at Stepping Wheel. To calculate Output Load at Rack given Movement Ratio, you need Movement Ratio (MR) & Input Effort at Stepping Wheel (E). With our tool, you need to enter the respective value for Movement Ratio & Input Effort at Stepping Wheel 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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