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Allowable Shear Strength of Coupling Material Formula

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Allowable Shear Strength of Coupling Material is the value obtained from coupling material experimental data. In addition, the value is slightly different for each material. Check FAQs

f sc = T m \cdot (\frac{16}{π}) \cdot \frac{D}{(D^{4}) - ({d shaft}^{4})}

f_sc - Allowable Shear Strength of Coupling Material?T_m - Maximum Torque?D - Diameter of Hub?d_shaft - Diameter of Shaft?π - Archimedes' constant?

Allowable Shear Strength of Coupling Material Example

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Here is how the Allowable Shear Strength of Coupling Material equation looks like with Values.

Here is how the Allowable Shear Strength of Coupling Material equation looks like with Units.

Here is how the Allowable Shear Strength of Coupling Material equation looks like.

0.0108 = 4680 \cdot (\frac{16}{3.1416}) \cdot \frac{130}{(130^{4}) - (12^{4})}

0.0108N/mm² = 4680N*mm \cdot (\frac{16}{3.1416}) \cdot \frac{130mm}{({130mm}^{4}) - ({12mm}^{4})}

0.0108 = 4680 \cdot (\frac{16}{3.1416}) \cdot \frac{130}{(130^{4}) - (12^{4})}

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Allowable Shear Strength of Coupling Material Solution

Follow our step by step solution on how to calculate Allowable Shear Strength of Coupling Material?

FIRST Step Consider the formula

f sc = T m \cdot (\frac{16}{π}) \cdot \frac{D}{(D^{4}) - ({d shaft}^{4})}

Next Step Substitute values of Variables

∴

f sc = 4680N*mm \cdot (\frac{16}{π}) \cdot \frac{130mm}{({130mm}^{4}) - ({12mm}^{4})}

Next Step Substitute values of Constants

∴

f sc = 4680N*mm \cdot (\frac{16}{3.1416}) \cdot \frac{130mm}{({130mm}^{4}) - ({12mm}^{4})}

Next Step Convert Units

∴

f sc = 4.68N*m \cdot (\frac{16}{3.1416}) \cdot \frac{0.13m}{({0.13m}^{4}) - ({0.012m}^{4})}

Next Step Prepare to Evaluate

∴

f sc = 4.68 \cdot (\frac{16}{3.1416}) \cdot \frac{0.13}{({0.13}^{4}) - ({0.012}^{4})}

Next Step Evaluate

∴

f sc = 10849.6927113741Pa

Next Step Convert to Output's Unit

∴

f sc = 0.0108496927113741N/mm²

LAST Step Rounding Answer

∴

f sc = 0.0108N/mm²

Allowable Shear Strength of Coupling Material Formula Elements

Variables

Constants

Allowable Shear Strength of Coupling Material

Allowable Shear Strength of Coupling Material is the value obtained from coupling material experimental data. In addition, the value is slightly different for each material.

Symbol: f_sc

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Allowable Shear Strength of Coupling Material

Maximum Torque

Maximum torque means the highest value of the net torque measured at full engine load.

Symbol: T_m

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Maximum Torque

Diameter of Hub

Diameter of Hub is usually taken as twice the diameter of shaft and length from 2 to 2.5 times the shaft diameter.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Hub

Diameter of Shaft

Diameter of Shaft is defined as the diameter of the hole in the iron laminations that contains the shaft.

Symbol: d_shaft

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Shaft

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Shaft Couplings category

Go Torque Transmission Capacity for Torsional Failure of Hub

T m = (\frac{π}{16}) \cdot \frac{(D^{4}) - ({d shaft}^{4})}{D} \cdot f sc

Go Maximum Torque for Shear Failure of Bolt

T m = (\frac{π}{4}) \cdot ({d b}^{2}) \cdot n \cdot f sb \cdot (\frac{D 1}{2})

Go Maximum Torque for Crushing Failure of Bolt

T m = n \cdot d b \cdot t f \cdot f cb \cdot (\frac{D 1}{2})

Go Maximum Torque Transmission Capacity of Coupling

T m = (\frac{{(π)}^{2}}{16}) \cdot μ \cdot n \cdot d shaft \cdot d b \cdot f t

How to Evaluate Allowable Shear Strength of Coupling Material?

Allowable Shear Strength of Coupling Material evaluator uses Allowable Shear Strength of Coupling Material = Maximum Torque*(16/pi)*(Diameter of Hub)/((Diameter of Hub^4)-(Diameter of Shaft^4)) to evaluate the Allowable Shear Strength of Coupling Material, Allowable Shear Strength of Coupling Material 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 hub that is parallel to the direction of the force. Allowable Shear Strength of Coupling Material is denoted by f_sc symbol.

How to evaluate Allowable Shear Strength of Coupling Material using this online evaluator? To use this online evaluator for Allowable Shear Strength of Coupling Material, enter Maximum Torque (T_m), Diameter of Hub (D) & Diameter of Shaft (d_shaft) and hit the calculate button.

FAQs on Allowable Shear Strength of Coupling Material

What is the formula to find Allowable Shear Strength of Coupling Material?

The formula of Allowable Shear Strength of Coupling Material is expressed as Allowable Shear Strength of Coupling Material = Maximum Torque*(16/pi)*(Diameter of Hub)/((Diameter of Hub^4)-(Diameter of Shaft^4)). Here is an example- 1.1E-8 = 4.68*(16/pi)*(0.13)/((0.13^4)-(0.012^4)).

How to calculate Allowable Shear Strength of Coupling Material?

With Maximum Torque (T_m), Diameter of Hub (D) & Diameter of Shaft (d_shaft) we can find Allowable Shear Strength of Coupling Material using the formula - Allowable Shear Strength of Coupling Material = Maximum Torque*(16/pi)*(Diameter of Hub)/((Diameter of Hub^4)-(Diameter of Shaft^4)). This formula also uses Archimedes' constant .

Can the Allowable Shear Strength of Coupling Material be negative?

No, the Allowable Shear Strength of Coupling Material, measured in Stress cannot be negative.

Which unit is used to measure Allowable Shear Strength of Coupling Material?

Allowable Shear Strength of Coupling Material is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Allowable Shear Strength of Coupling Material can be measured.

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Allowable Shear Strength of Coupling Material Formula

Allowable Shear Strength of Coupling Material Example

Allowable Shear Strength of Coupling Material Solution

Allowable Shear Strength of Coupling Material Formula Elements

Other formulas in Shaft Couplings category

How to Evaluate Allowable Shear Strength of Coupling Material?

FAQs on Allowable Shear Strength of Coupling Material

Variable Name