Allowable Shear Strength of Bolt Calculator

✖Maximum torque means the highest value of the net torque measured at full engine load.ⓘ Maximum Torque [T_m]			+10% -10%
✖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%
✖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%

✖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 [f_sb]

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Formula

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Allowable Shear Strength of Bolt

Formula

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

Example

`"0.04504N/mm²"="4680N*mm"*(4/pi)*(1/((("21mm")^2)*"3"))*(2/"200mm")`

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Allowable Shear Strength of Bolt Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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

Maximum Torque: 4680 Newton Millimeter --> 4.68 Newton Meter (Check conversion here)
Diameter of Bolt: 21 Millimeter --> 0.021 Meter (Check conversion here)
Number of Bolts: 3 --> No Conversion Required
Pitch Circle Diameter of Bolts: 200 Millimeter --> 0.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_sb = T_m*(4/pi)*(1/((d_b^2)*n))*(2/D₁) --> 4.68*(4/pi)*(1/((0.021^2)*3))*(2/0.2)

Evaluating ... ...

f_sb = 45039.7662083187

STEP 3: Convert Result to Output's Unit

45039.7662083187 Pascal -->0.0450397662083187 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

0.0450397662083187 ≈ 0.04504 Newton per Square Millimeter <-- Allowable Shear Strength of Bolt Material

(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

Allowable Shear Strength of Bolt Formula

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

What is Shear Strength?

The shear strength of a material is defined as its ability to resist forces that cause the material's internal structure to slide against itself. The shear strength of a material can be measured in either the vertical or horizontal direction. For example, if the force causes the object's layers to slide in the horizontal direction, the material will exhibit horizontal shear strength. Conversely, if the force causes the layers of the material to slide in the vertical direction, the material will exhibit vertical shear strength.

How to Calculate Allowable Shear Strength of Bolt?

Allowable Shear Strength of Bolt calculator uses Allowable Shear Strength of Bolt Material = Maximum Torque*(4/pi)*(1/((Diameter of Bolt^2)*Number of Bolts))*(2/Pitch Circle Diameter of Bolts) to calculate the Allowable Shear Strength of Bolt Material, The Allowable Shear Strength of Bolt formula is defined as strength of a material or component against the type of yield or structural failure when the material or component fails in shear. A shear load is a force that tends to produce a sliding failure on a material along a bolt that is parallel to the direction of the force. Allowable Shear Strength of Bolt Material is denoted by f_sb symbol.

How to calculate Allowable Shear Strength of Bolt using this online calculator? To use this online calculator for Allowable Shear Strength of Bolt, enter Maximum Torque (T_m), Diameter of Bolt (d_b), Number of Bolts (n) & Pitch Circle Diameter of Bolts (D₁) and hit the calculate button. Here is how the Allowable Shear Strength of Bolt calculation can be explained with given input values -> 4.5E-8 = 4.68*(4/pi)*(1/((0.021^2)*3))*(2/0.2).

FAQ

What is Allowable Shear Strength of Bolt?

The Allowable Shear Strength of Bolt formula is defined as strength of a material or component against the type of yield or structural failure when the material or component fails in shear. A shear load is a force that tends to produce a sliding failure on a material along a bolt that is parallel to the direction of the force and is represented as f_sb = T_m*(4/pi)*(1/((d_b^2)*n))*(2/D₁) or 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 means the highest value of the net torque measured at full engine load, 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 & 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 Allowable Shear Strength of Bolt?

The Allowable Shear Strength of Bolt formula is defined as strength of a material or component against the type of yield or structural failure when the material or component fails in shear. A shear load is a force that tends to produce a sliding failure on a material along a bolt that is parallel to the direction of the force is calculated using Allowable Shear Strength of Bolt Material = Maximum Torque*(4/pi)*(1/((Diameter of Bolt^2)*Number of Bolts))*(2/Pitch Circle Diameter of Bolts). To calculate Allowable Shear Strength of Bolt, you need Maximum Torque (T_m), Diameter of Bolt (d_b), Number of Bolts (n) & Pitch Circle Diameter of Bolts (D₁). With our tool, you need to enter the respective value for Maximum Torque, Diameter of Bolt, Number of Bolts & 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.

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