Static Wheel Load given Shear Stress Calculator

✖Contact shear stress is the shear stress at the contact point between wheel and rail.ⓘ Contact Shear Stress [F_s]			+10% -10%
✖Radius of Wheel here specifies the radius of fully worn-out wheel.ⓘ Radius of Wheel [R_w]			+10% -10%

✖Static Load is defined as the stationary load used for easy calculation of stress and moments.ⓘ Static Wheel Load given Shear Stress [F_a]

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Formula

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Static Wheel Load given Shear Stress

Formula

`"F"_{"a"} = ("F"_{"s"}/4.13)^2*"R"_{"w"}`

Example

`"203.4508tf"=("9.2kgf/mm²"/4.13)^2*"41mm"`

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Static Wheel Load given Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Static Load = (Contact Shear Stress/4.13)^2*Radius of Wheel
F_a = (F_s/4.13)^2*R_w
This formula uses 3 Variables

Variables Used

Static Load - (Measured in Ton-Force (Metric)) - Static Load is defined as the stationary load used for easy calculation of stress and moments.
Contact Shear Stress - (Measured in Kilogram-Force per Square Millimeter) - Contact shear stress is the shear stress at the contact point between wheel and rail.
Radius of Wheel - (Measured in Millimeter) - Radius of Wheel here specifies the radius of fully worn-out wheel.

STEP 1: Convert Input(s) to Base Unit

Contact Shear Stress: 9.2 Kilogram-Force per Square Millimeter --> 9.2 Kilogram-Force per Square Millimeter No Conversion Required
Radius of Wheel: 41 Millimeter --> 41 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_a = (F_s/4.13)^2*R_w --> (9.2/4.13)^2*41

Evaluating ... ...

F_a = 203.450802900879

STEP 3: Convert Result to Output's Unit

1995170.81626776 Newton -->203.450802900879 Ton-Force (Metric) (Check conversion here)

FINAL ANSWER

203.450802900879 ≈ 203.4508 Ton-Force (Metric) <-- Static Load

(Calculation completed in 00.004 seconds)

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NSS College of Engineering (NSSCE), Palakkad

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< 8 Lateral Forces Calculators

Section Modulus of Rail given Seat Load

Go Section Modulus = (Wheel Load*Sleeper Spacing)/(Characteristic Length of Rail*Seat Load)

Characteristic Length given Seat Load on Rail

Go Characteristic Length of Rail = Wheel Load*Sleeper Spacing/(Section Modulus*Seat Load)

Maximum Load on Rail Seat

Go Seat Load = Wheel Load*Sleeper Spacing/(Section Modulus*Characteristic Length of Rail)

Sleeper Spacing given Seat Load on Rail

Go Sleeper Spacing = Section Modulus*Characteristic Length of Rail*Seat Load/Wheel Load

Wheel Load given Seat Load

Go Wheel Load = Section Modulus*Characteristic Length of Rail*Seat Load/Sleeper Spacing

Maximum Contact Shear Stress

Go Contact Shear Stress = 4.13*(Static Load/Radius of Wheel)^(1/2)

Radius of Wheel given Shear Stress

Go Radius of Wheel = (4.13/Contact Shear Stress)^(2)*Static Load

Static Wheel Load given Shear Stress

Go Static Load = (Contact Shear Stress/4.13)^2*Radius of Wheel

Static Wheel Load given Shear Stress Formula

Static Load = (Contact Shear Stress/4.13)^2*Radius of Wheel
F_a = (F_s/4.13)^2*R_w

What are the Lateral Forces on rails?

The Lateral Force applied to the rail head produces a lateral deflection and twist in the rail. Lateral force causes the rail to bend horizontally and the resultant torque causes a huge twist in the rail as well as the bending of the head and foot of the rail. Lateral deflection of the rail is resisted by the friction between the rail and the sleeper, the resistance offered by the rubber pad and fastenings, as well as the ballast coming in contact with the rail.

How to Calculate Static Wheel Load given Shear Stress?

Static Wheel Load given Shear Stress calculator uses Static Load = (Contact Shear Stress/4.13)^2*Radius of Wheel to calculate the Static Load, Static Wheel Load given Shear Stress is defined as load on rail without considering dynamic effects. Static Load is denoted by F_a symbol.

How to calculate Static Wheel Load given Shear Stress using this online calculator? To use this online calculator for Static Wheel Load given Shear Stress, enter Contact Shear Stress (F_s) & Radius of Wheel (R_w) and hit the calculate button. Here is how the Static Wheel Load given Shear Stress calculation can be explained with given input values -> 0.020746 = (90221179.9999937/4.13)^2*0.041.

FAQ

What is Static Wheel Load given Shear Stress?

Static Wheel Load given Shear Stress is defined as load on rail without considering dynamic effects and is represented as F_a = (F_s/4.13)^2*R_w or Static Load = (Contact Shear Stress/4.13)^2*Radius of Wheel. Contact shear stress is the shear stress at the contact point between wheel and rail & Radius of Wheel here specifies the radius of fully worn-out wheel.

How to calculate Static Wheel Load given Shear Stress?

Static Wheel Load given Shear Stress is defined as load on rail without considering dynamic effects is calculated using Static Load = (Contact Shear Stress/4.13)^2*Radius of Wheel. To calculate Static Wheel Load given Shear Stress, you need Contact Shear Stress (F_s) & Radius of Wheel (R_w). With our tool, you need to enter the respective value for Contact Shear Stress & Radius of 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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