Caster angle Calculator

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✖Camber is the inward or outward tilt of the front tires as viewed from the front of the vehicle.ⓘ Camber [C₁]			+10% -10%
✖Camber is the inward or outward tilt of the front tires as viewed from the front of the vehicle.ⓘ Camber [C₂]			+10% -10%
✖The Toe angle is the direction the tires are pointed, in relation to the vehicle centerline, viewed from above.ⓘ Toe angle [T₂]			+10% -10%
✖The Toe angle is the direction the tires are pointed, in relation to the vehicle centerline, viewed from above.ⓘ Toe angle [T₁]			+10% -10%
✖Steering axis inclination is defined as the angle measured in the front elevation between the steering axis and the vertical.ⓘ Steering axis inclination [S]			+10% -10%

✖Caster angle is the angle that identifies the forward or backward slope of a line that is drawn through the upper and lower steering pivot points.ⓘ Caster angle [K]

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Caster angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Caster angle = (sin(Camber*(180/pi))-sin(Camber*(180/pi)))-(cos(Camber*(180/pi))*cos(Toe angle*(180/pi))-cos(Camber*(180/pi))*cos(Toe angle*(180/pi)))*tan(Steering axis inclination*(180/pi))/(cos(Camber*(180/pi))*sin(Toe angle*(180/pi))-cos(Camber*(180/pi))*sin(Toe angle*(180/pi)))
K = (sin(C₁*(180/pi))-sin(C₂*(180/pi)))-(cos(C₂*(180/pi))*cos(T₂*(180/pi))-cos(C₁*(180/pi))*cos(T₁*(180/pi)))*tan(S*(180/pi))/(cos(C₂*(180/pi))*sin(T₂*(180/pi))-cos(C₁*(180/pi))*sin(T₁*(180/pi)))
This formula uses 1 Constants, 3 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Trigonometric sine function, sin(Angle)
cos - Trigonometric cosine function, cos(Angle)
tan - Trigonometric tangent function, tan(Angle)

Variables Used

Caster angle - (Measured in Radian) - Caster angle is the angle that identifies the forward or backward slope of a line that is drawn through the upper and lower steering pivot points.
Camber - (Measured in Radian) - Camber is the inward or outward tilt of the front tires as viewed from the front of the vehicle.
Camber - (Measured in Radian) - Camber is the inward or outward tilt of the front tires as viewed from the front of the vehicle.
Toe angle - (Measured in Radian) - The Toe angle is the direction the tires are pointed, in relation to the vehicle centerline, viewed from above.
Toe angle - (Measured in Radian) - The Toe angle is the direction the tires are pointed, in relation to the vehicle centerline, viewed from above.
Steering axis inclination - (Measured in Radian) - Steering axis inclination is defined as the angle measured in the front elevation between the steering axis and the vertical.

STEP 1: Convert Input(s) to Base Unit

Camber: 7 Degree --> 0.12217304763958 Radian (Check conversion here)
Camber: 6 Degree --> 0.10471975511964 Radian (Check conversion here)
Toe angle: 9 Degree --> 0.15707963267946 Radian (Check conversion here)
Toe angle: 7 Degree --> 0.12217304763958 Radian (Check conversion here)
Steering axis inclination: 6 Degree --> 0.10471975511964 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = (sin(C₁*(180/pi))-sin(C₂*(180/pi)))-(cos(C₂*(180/pi))*cos(T₂*(180/pi))-cos(C₁*(180/pi))*cos(T₁*(180/pi)))*tan(S*(180/pi))/(cos(C₂*(180/pi))*sin(T₂*(180/pi))-cos(C₁*(180/pi))*sin(T₁*(180/pi))) --> (sin(0.12217304763958*(180/pi))-sin(0.10471975511964*(180/pi)))-(cos(0.10471975511964*(180/pi))*cos(0.15707963267946*(180/pi))-cos(0.12217304763958*(180/pi))*cos(0.12217304763958*(180/pi)))*tan(0.10471975511964*(180/pi))/(cos(0.10471975511964*(180/pi))*sin(0.15707963267946*(180/pi))-cos(0.12217304763958*(180/pi))*sin(0.12217304763958*(180/pi)))

Evaluating ... ...

K = 5.15310630078315

STEP 3: Convert Result to Output's Unit

5.15310630078315 Radian -->295.251242417202 Degree (Check conversion here)

FINAL ANSWER

295.251242417202 Degree <-- Caster angle

(Calculation completed in 00.047 seconds)

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Credits

Created by Kartikay Pandit

National Institute Of Technology (NIT), Hamirpur

Kartikay Pandit has created this Calculator and 10+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2600+ more calculators!

< 10+ Front Axle and Steering Calculators

Angle of outside lock in terms of turning radius of outer front wheel

Angle of outside wheel lock = asin(Wheelbase of vehicle/(Turning radius of outer front wheel-((Track width of vehicle-Distance between Front Wheel Pivot Center)/2))) Go

Pivot centre in terms of turning radius of outer front wheel

Distance between Front Wheel Pivot Center = Track width of vehicle-(2*(-(Wheelbase of vehicle/sin(Angle of outside wheel lock))+Turning radius of outer front wheel)) Go

Wheel track in terms of turning radius of outer front wheel

Track width of vehicle = (2*(-(Wheelbase of vehicle/sin(Angle of outside wheel lock))+Turning radius of outer front wheel))+Distance between Front Wheel Pivot Center Go

Angle of inside lock in terms of turning radius of inner front wheel

Angle of inside wheel lock = asin(Wheelbase of vehicle/(Turning radius of inner front wheel+((Track width of vehicle-Distance between Front Wheel Pivot Center)/2))) Go

Wheel base in terms of turning radius of outer front wheel

Wheelbase of vehicle = (Turning radius of outer front wheel-((Track width of vehicle-Distance between Front Wheel Pivot Center)/2))*sin(Angle of outside wheel lock) Go

Pivot centre in terms of turning radius of inner front wheel

Distance between Front Wheel Pivot Center = Track width of vehicle-(2*((Wheelbase of vehicle/sin(Angle of inside wheel lock))-Turning radius of inner front wheel)) Go

Wheel track in terms of turning radius of inner front wheel

Track width of vehicle = (2*((Wheelbase of vehicle/sin(Angle of inside wheel lock))-Turning radius of inner front wheel))+Distance between Front Wheel Pivot Center Go

Wheel base in terms of turning radius of inner front wheel

Wheelbase of vehicle = (Turning radius of inner front wheel+((Track width of vehicle-Distance between Front Wheel Pivot Center)/2))*sin(Angle of inside wheel lock) Go

Pivot centre in terms of turning radius of inner rear wheel

Distance between Front Wheel Pivot Center = Track width of vehicle-(2*((Wheelbase of vehicle/tan(Angle of inside wheel lock))-Turning radius of rear inner wheel)) Go

Wheel base in terms of turning radius of inner rear wheel

Wheelbase of vehicle = (Turning radius of rear inner wheel+((Track width of vehicle-Distance between Front Wheel Pivot Center)/2))*tan(Angle of inside wheel lock) Go

Caster angle Formula

What are the types of Caster?

Positive caster is when the vehicle's wheel (and lower pivot point) is in front of the upper pivot point. Negative caster has a lower pivot point behind the upper pivot point, and zero caster means the steering axis is perpendicular to the ground.

How to Calculate Caster angle?

Caster angle calculator uses Caster angle = (sin(Camber*(180/pi))-sin(Camber*(180/pi)))-(cos(Camber*(180/pi))*cos(Toe angle*(180/pi))-cos(Camber*(180/pi))*cos(Toe angle*(180/pi)))*tan(Steering axis inclination*(180/pi))/(cos(Camber*(180/pi))*sin(Toe angle*(180/pi))-cos(Camber*(180/pi))*sin(Toe angle*(180/pi))) to calculate the Caster angle, The Caster angle castor angle is the angular displacement of the steering axis from the vertical axis of a steered wheel in a car, motorcycle, bicycle, other vehicle or a vessel, as seen from the side of the vehicle. Caster angle is denoted by K symbol.

How to calculate Caster angle using this online calculator? To use this online calculator for Caster angle, enter Camber (C₁), Camber (C₂), Toe angle (T₂), Toe angle (T₁) & Steering axis inclination (S) and hit the calculate button. Here is how the Caster angle calculation can be explained with given input values -> 295.2512 = (sin(0.12217304763958*(180/pi))-sin(0.10471975511964*(180/pi)))-(cos(0.10471975511964*(180/pi))*cos(0.15707963267946*(180/pi))-cos(0.12217304763958*(180/pi))*cos(0.12217304763958*(180/pi)))*tan(0.10471975511964*(180/pi))/(cos(0.10471975511964*(180/pi))*sin(0.15707963267946*(180/pi))-cos(0.12217304763958*(180/pi))*sin(0.12217304763958*(180/pi))).

FAQ

What is Caster angle?

The Caster angle castor angle is the angular displacement of the steering axis from the vertical axis of a steered wheel in a car, motorcycle, bicycle, other vehicle or a vessel, as seen from the side of the vehicle and is represented as K = (sin(C₁*(180/pi))-sin(C₂*(180/pi)))-(cos(C₂*(180/pi))*cos(T₂*(180/pi))-cos(C₁*(180/pi))*cos(T₁*(180/pi)))*tan(S*(180/pi))/(cos(C₂*(180/pi))*sin(T₂*(180/pi))-cos(C₁*(180/pi))*sin(T₁*(180/pi))) or Caster angle = (sin(Camber*(180/pi))-sin(Camber*(180/pi)))-(cos(Camber*(180/pi))*cos(Toe angle*(180/pi))-cos(Camber*(180/pi))*cos(Toe angle*(180/pi)))*tan(Steering axis inclination*(180/pi))/(cos(Camber*(180/pi))*sin(Toe angle*(180/pi))-cos(Camber*(180/pi))*sin(Toe angle*(180/pi))). Camber is the inward or outward tilt of the front tires as viewed from the front of the vehicle, Camber is the inward or outward tilt of the front tires as viewed from the front of the vehicle, The Toe angle is the direction the tires are pointed, in relation to the vehicle centerline, viewed from above, The Toe angle is the direction the tires are pointed, in relation to the vehicle centerline, viewed from above & Steering axis inclination is defined as the angle measured in the front elevation between the steering axis and the vertical.

How to calculate Caster angle?

The Caster angle castor angle is the angular displacement of the steering axis from the vertical axis of a steered wheel in a car, motorcycle, bicycle, other vehicle or a vessel, as seen from the side of the vehicle is calculated using Caster angle = (sin(Camber*(180/pi))-sin(Camber*(180/pi)))-(cos(Camber*(180/pi))*cos(Toe angle*(180/pi))-cos(Camber*(180/pi))*cos(Toe angle*(180/pi)))*tan(Steering axis inclination*(180/pi))/(cos(Camber*(180/pi))*sin(Toe angle*(180/pi))-cos(Camber*(180/pi))*sin(Toe angle*(180/pi))). To calculate Caster angle, you need Camber (C₁), Camber (C₂), Toe angle (T₂), Toe angle (T₁) & Steering axis inclination (S). With our tool, you need to enter the respective value for Camber, Camber, Toe angle, Toe angle & Steering axis inclination 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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