Maximum Torque for Shear Failure of Bolt Calculator

✖Diameter of Bolt is the distance from the outer thread on one side to the outer thread on the other side. This is called the major diameter and will usually be the proper size of the bolt.ⓘ Diameter of Bolt [d_b]			+10% -10%
✖Number of Bolts is simply defined as the number of bolts that are under our consideration.ⓘ Number of Bolts [n]			+10% -10%
✖Allowable Shear Strength of Bolt Material is the value obtained from coupling material experimental data. In addition, the value is slightly different for each material.ⓘ Allowable Shear Strength of Bolt Material [f_sb]			+10% -10%
✖Pitch Circle Diameter of Bolts (PCD) is the diameter of the circle which passes through the centre of all the studs, wheel bolts or wheel rim holes.ⓘ Pitch Circle Diameter of Bolts [D₁]			+10% -10%

✖Maximum torque means the highest value of the net torque measured at full engine load.ⓘ Maximum Torque for Shear Failure of Bolt [T_m]

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Formula

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Maximum Torque for Shear Failure of Bolt

Formula

`"T"_{"m"} = (pi/4)*("d"_{"b"}^2)*"n"*"f"_{"sb"}*("D"_{"1"}/2)`

Example

`"623449.1N*mm"=(pi/4)*(("21mm")^2)*"3"*"6N/mm²"*("200mm"/2)`

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Maximum Torque for Shear Failure of Bolt Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Torque = (pi/4)*(Diameter of Bolt^2)*Number of Bolts*Allowable Shear Strength of Bolt Material*(Pitch Circle Diameter of Bolts/2)
T_m = (pi/4)*(d_b^2)*n*f_sb*(D₁/2)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Maximum Torque - (Measured in Newton Meter) - Maximum torque means the highest value of the net torque measured at full engine load.
Diameter of Bolt - (Measured in Meter) - Diameter of Bolt is the distance from the outer thread on one side to the outer thread on the other side. This is called the major diameter and will usually be the proper size of the bolt.
Number of Bolts - Number of Bolts is simply defined as the number of bolts that are under our consideration.
Allowable Shear Strength of Bolt Material - (Measured in Pascal) - Allowable Shear Strength of Bolt Material is the value obtained from coupling material experimental data. In addition, the value is slightly different for each material.
Pitch Circle Diameter of Bolts - (Measured in Meter) - Pitch Circle Diameter of Bolts (PCD) is the diameter of the circle which passes through the centre of all the studs, wheel bolts or wheel rim holes.

STEP 1: Convert Input(s) to Base Unit

Diameter of Bolt: 21 Millimeter --> 0.021 Meter (Check conversion here)
Number of Bolts: 3 --> No Conversion Required
Allowable Shear Strength of Bolt Material: 6 Newton per Square Millimeter --> 6000000 Pascal (Check conversion here)
Pitch Circle Diameter of Bolts: 200 Millimeter --> 0.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_m = (pi/4)*(d_b^2)*n*f_sb*(D₁/2) --> (pi/4)*(0.021^2)*3*6000000*(0.2/2)

Evaluating ... ...

T_m = 623.449062104895

STEP 3: Convert Result to Output's Unit

623.449062104895 Newton Meter -->623449.062104895 Newton Millimeter (Check conversion here)

FINAL ANSWER

623449.062104895 ≈ 623449.1 Newton Millimeter <-- Maximum Torque

(Calculation completed in 00.004 seconds)

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< 15 Shaft Couplings Calculators

Maximum Torque Transmission Capacity of Coupling

Go Maximum Torque = ((pi)^(2)/16)*Coefficient of Friction between Muff and Shaft*Number of Bolts*Diameter of Shaft*Diameter of Bolt*Tensile Stress

Allowable Crushing Strength of Bolt

Go Allowable Crushing Strength of the Bolt Material = Maximum Torque*1/(Number of Bolts*Diameter of Bolt*Thickness of Flange)*(2/Pitch Circle Diameter of Bolts)

Maximum Torque for Crushing Failure of Bolt

Go Maximum Torque = Number of Bolts*Diameter of Bolt*Thickness of Flange*Allowable Crushing Strength of the Bolt Material*(Pitch Circle Diameter of Bolts/2)

Allowable Shear Strength of Bolt

Go Allowable Shear Strength of Bolt Material = Maximum Torque*(4/pi)*(1/((Diameter of Bolt^2)*Number of Bolts))*(2/Pitch Circle Diameter of Bolts)

Maximum Torque Transmission Capacity of Coupling under Bearing Pressure

Go Maximum Torque = Number of Bolts*Bearing Pressure on the Bush*Diameter of Bush*Length of Bush in the Flange*(Pitch Circle Diameter of Bolts/2)

Maximum Torque for Shear Failure of Bolt

Go Maximum Torque = (pi/4)*(Diameter of Bolt^2)*Number of Bolts*Allowable Shear Strength of Bolt Material*(Pitch Circle Diameter of Bolts/2)

Torque Transmission Capacity for Torsional Failure of Hub

Go Maximum Torque = (pi/16)*((Diameter of Hub^4)-(Diameter of Shaft^4))/(Diameter of Hub)*Allowable Shear Strength of Coupling Material

Allowable Shear Strength of Coupling Material

Go Allowable Shear Strength of Coupling Material = Maximum Torque*(16/pi)*(Diameter of Hub)/((Diameter of Hub^4)-(Diameter of Shaft^4))

Diameter of Bolt

Go Diameter of Bolt = 0.5*Shaft Diameter/sqrt(Number of Bolts)

Thickness of Protective Circumferential Flange

Go Thickness of Protective Circumferential Flange = 0.25*Shaft Diameter

Pitch Circle Diameter of Bolts

Go Pitch Circle Diameter of Bolts = 3*Shaft Diameter

Outside Diameter of Flange

Go Outside Diameter of Flange = 4*Shaft Diameter

Number of Bolts Given Diameter

Go Number of Bolts = (Shaft Diameter/50)+3

Diameter of Hub

Go Diameter of Hub = 2*Shaft Diameter

Length of Hub

Go Length of Hub = 1.5*Shaft Diameter

Maximum Torque for Shear Failure of Bolt Formula

Maximum Torque = (pi/4)*(Diameter of Bolt^2)*Number of Bolts*Allowable Shear Strength of Bolt Material*(Pitch Circle Diameter of Bolts/2)
T_m = (pi/4)*(d_b^2)*n*f_sb*(D₁/2)

What is Bolt?

A bolt is a mechanical fastener with a threaded shaft. Bolts are closely related to screws, which are also mechanical fasteners with threaded shafts. These types of fasteners are typically inserted through two parts, with aligned holes.The term bolt is usually used for a fastener which has only part of its shaft threaded. Fasteners with their entire shaft threaded are normally called screws. The unthreaded part of a bolts shaft is called the shank.

How to Calculate Maximum Torque for Shear Failure of Bolt?

Maximum Torque for Shear Failure of Bolt calculator uses Maximum Torque = (pi/4)*(Diameter of Bolt^2)*Number of Bolts*Allowable Shear Strength of Bolt Material*(Pitch Circle Diameter of Bolts/2) to calculate the Maximum Torque, Maximum Torque for Shear Failure of Bolt is defined as when shear stress supersedes shear strength, which is around half the tensile strength. But there are many things that can cause the shear failure of a bolt. Even simple fastening components (like bolts) can fail. Maximum Torque is denoted by T_m symbol.

How to calculate Maximum Torque for Shear Failure of Bolt using this online calculator? To use this online calculator for Maximum Torque for Shear Failure of Bolt, enter Diameter of Bolt (d_b), Number of Bolts (n), Allowable Shear Strength of Bolt Material (f_sb) & Pitch Circle Diameter of Bolts (D₁) and hit the calculate button. Here is how the Maximum Torque for Shear Failure of Bolt calculation can be explained with given input values -> 6.2E+8 = (pi/4)*(0.021^2)*3*6000000*(0.2/2).

FAQ

What is Maximum Torque for Shear Failure of Bolt?

Maximum Torque for Shear Failure of Bolt is defined as when shear stress supersedes shear strength, which is around half the tensile strength. But there are many things that can cause the shear failure of a bolt. Even simple fastening components (like bolts) can fail and is represented as T_m = (pi/4)*(d_b^2)*n*f_sb*(D₁/2) or Maximum Torque = (pi/4)*(Diameter of Bolt^2)*Number of Bolts*Allowable Shear Strength of Bolt Material*(Pitch Circle Diameter of Bolts/2). Diameter of Bolt is the distance from the outer thread on one side to the outer thread on the other side. This is called the major diameter and will usually be the proper size of the bolt, Number of Bolts is simply defined as the number of bolts that are under our consideration, Allowable Shear Strength of Bolt Material is the value obtained from coupling material experimental data. In addition, the value is slightly different for each material & Pitch Circle Diameter of Bolts (PCD) is the diameter of the circle which passes through the centre of all the studs, wheel bolts or wheel rim holes.

How to calculate Maximum Torque for Shear Failure of Bolt?

Maximum Torque for Shear Failure of Bolt is defined as when shear stress supersedes shear strength, which is around half the tensile strength. But there are many things that can cause the shear failure of a bolt. Even simple fastening components (like bolts) can fail is calculated using Maximum Torque = (pi/4)*(Diameter of Bolt^2)*Number of Bolts*Allowable Shear Strength of Bolt Material*(Pitch Circle Diameter of Bolts/2). To calculate Maximum Torque for Shear Failure of Bolt, you need Diameter of Bolt (d_b), Number of Bolts (n), Allowable Shear Strength of Bolt Material (f_sb) & Pitch Circle Diameter of Bolts (D₁). With our tool, you need to enter the respective value for Diameter of Bolt, Number of Bolts, Allowable Shear Strength of Bolt Material & Pitch Circle Diameter of Bolts and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Maximum Torque?

In this formula, Maximum Torque uses Diameter of Bolt, Number of Bolts, Allowable Shear Strength of Bolt Material & Pitch Circle Diameter of Bolts. We can use 4 other way(s) to calculate the same, which is/are as follows -

Maximum Torque = (pi/16)*((Diameter of Hub^4)-(Diameter of Shaft^4))/(Diameter of Hub)*Allowable Shear Strength of Coupling Material
Maximum Torque = Number of Bolts*Diameter of Bolt*Thickness of Flange*Allowable Crushing Strength of the Bolt Material*(Pitch Circle Diameter of Bolts/2)
Maximum Torque = ((pi)^(2)/16)*Coefficient of Friction between Muff and Shaft*Number of Bolts*Diameter of Shaft*Diameter of Bolt*Tensile Stress
Maximum Torque = Number of Bolts*Bearing Pressure on the Bush*Diameter of Bush*Length of Bush in the Flange*(Pitch Circle Diameter of Bolts/2)

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