Shear Stress in Key given Torque Transmitted Calculator

✖The Transmitted Torque by Keyed Shaft is the rotational force transferred through a keyed connection, essential for ensuring reliable power transmission in mechanical systems.ⓘ Transmitted Torque by Keyed Shaft [M_t]			+10% -10%
✖The Width of Key is the measurement of the key's thickness, which ensures proper fit and function within a mechanical assembly, preventing slippage and ensuring torque transmission.ⓘ Width of Key [b_k]			+10% -10%
✖The Length of Key is the measurement of the key used in mechanical systems to secure components and transmit torque between shafts and hubs.ⓘ Length of Key [l]			+10% -10%
✖The Diameter of Shaft using Key is the measurement across the widest part of a shaft that accommodates a key for secure attachment and torque transmission.ⓘ Diameter of Shaft using Key [d_s]			+10% -10%

✖The Shear Stress is the force per unit area acting parallel to a material's surface, crucial for understanding material strength in mechanical design applications.ⓘ Shear Stress in Key given Torque Transmitted [𝜏_{flat key}]

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Shear Stress in Key given Torque Transmitted Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress = 2*Transmitted Torque by Keyed Shaft/(Width of Key*Length of Key*Diameter of Shaft using Key)
𝜏_{flat key} = 2*M_t/(b_k*l*d_s)
This formula uses 5 Variables

Variables Used

Shear Stress - (Measured in Pascal) - The Shear Stress is the force per unit area acting parallel to a material's surface, crucial for understanding material strength in mechanical design applications.
Transmitted Torque by Keyed Shaft - (Measured in Newton Meter) - The Transmitted Torque by Keyed Shaft is the rotational force transferred through a keyed connection, essential for ensuring reliable power transmission in mechanical systems.
Width of Key - (Measured in Meter) - The Width of Key is the measurement of the key's thickness, which ensures proper fit and function within a mechanical assembly, preventing slippage and ensuring torque transmission.
Length of Key - (Measured in Meter) - The Length of Key is the measurement of the key used in mechanical systems to secure components and transmit torque between shafts and hubs.
Diameter of Shaft using Key - (Measured in Meter) - The Diameter of Shaft using Key is the measurement across the widest part of a shaft that accommodates a key for secure attachment and torque transmission.

STEP 1: Convert Input(s) to Base Unit

Transmitted Torque by Keyed Shaft: 224500 Newton Millimeter --> 224.5 Newton Meter (Check conversion here)
Width of Key: 5 Millimeter --> 0.005 Meter (Check conversion here)
Length of Key: 35 Millimeter --> 0.035 Meter (Check conversion here)
Diameter of Shaft using Key: 44.98998 Millimeter --> 0.04498998 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏_{flat key} = 2*M_t/(b_k*l*d_s) --> 2*224.5/(0.005*0.035*0.04498998)

Evaluating ... ...

𝜏_{flat key} = 57028571.3777665

STEP 3: Convert Result to Output's Unit

57028571.3777665 Pascal -->57.0285713777665 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

57.0285713777665 ≈ 57.02857 Newton per Square Millimeter <-- Shear Stress

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Keys » Design of Square and Flat Keys » Shear Stress in Key given Torque Transmitted

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Osmania University (OU), Hyderabad

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< Design of Square and Flat Keys Calculators

Shear Stress in given Force on Key

LaTeX Go Shear Stress = Force on Key/(Width of Key*Length of Key)

Torque Transmitted by Keyed Shaft given Force on Keys

LaTeX Go Transmitted Torque by Keyed Shaft = Force on Key*Diameter of Shaft using Key/2

Shaft Diameter given Force on Key

LaTeX Go Diameter of Shaft using Key = 2*Transmitted Torque by Keyed Shaft/Force on Key

Force on Key

LaTeX Go Force on Key = 2*Transmitted Torque by Keyed Shaft/Diameter of Shaft using Key

Shear Stress in Key given Torque Transmitted Formula

LaTeX Go

Shear Stress = 2*Transmitted Torque by Keyed Shaft/(Width of Key*Length of Key*Diameter of Shaft using Key)
𝜏_{flat key} = 2*M_t/(b_k*l*d_s)

Define Shear Stress

Shear stress, often denoted by τ (Greek: tau), is the component of stress coplanar with a material cross section. It arises from the shear force, the component of force vector parallel to the material cross section. Normal stress, on the other hand, arises from the force vector component perpendicular to the material cross section on which it acts.

How to Calculate Shear Stress in Key given Torque Transmitted?

Shear Stress in Key given Torque Transmitted calculator uses Shear Stress = 2*Transmitted Torque by Keyed Shaft/(Width of Key*Length of Key*Diameter of Shaft using Key) to calculate the Shear Stress, Shear Stress in Key given Torque Transmitted formula is defined as a measure of the internal forces acting within a key when torque is applied. It helps in assessing the strength and stability of mechanical connections, ensuring that the key can withstand operational loads without failure. Shear Stress is denoted by 𝜏_{flat key} symbol.

How to calculate Shear Stress in Key given Torque Transmitted using this online calculator? To use this online calculator for Shear Stress in Key given Torque Transmitted, enter Transmitted Torque by Keyed Shaft (M_t), Width of Key (b_k), Length of Key (l) & Diameter of Shaft using Key (d_s) and hit the calculate button. Here is how the Shear Stress in Key given Torque Transmitted calculation can be explained with given input values -> 6.4E-5 = 2*224.5/(0.005*0.035*0.04498998).

FAQ

What is Shear Stress in Key given Torque Transmitted?

Shear Stress in Key given Torque Transmitted formula is defined as a measure of the internal forces acting within a key when torque is applied. It helps in assessing the strength and stability of mechanical connections, ensuring that the key can withstand operational loads without failure and is represented as 𝜏_{flat key} = 2*M_t/(b_k*l*d_s) or Shear Stress = 2*Transmitted Torque by Keyed Shaft/(Width of Key*Length of Key*Diameter of Shaft using Key). The Transmitted Torque by Keyed Shaft is the rotational force transferred through a keyed connection, essential for ensuring reliable power transmission in mechanical systems, The Width of Key is the measurement of the key's thickness, which ensures proper fit and function within a mechanical assembly, preventing slippage and ensuring torque transmission, The Length of Key is the measurement of the key used in mechanical systems to secure components and transmit torque between shafts and hubs & The Diameter of Shaft using Key is the measurement across the widest part of a shaft that accommodates a key for secure attachment and torque transmission.

How to calculate Shear Stress in Key given Torque Transmitted?

Shear Stress in Key given Torque Transmitted formula is defined as a measure of the internal forces acting within a key when torque is applied. It helps in assessing the strength and stability of mechanical connections, ensuring that the key can withstand operational loads without failure is calculated using Shear Stress = 2*Transmitted Torque by Keyed Shaft/(Width of Key*Length of Key*Diameter of Shaft using Key). To calculate Shear Stress in Key given Torque Transmitted, you need Transmitted Torque by Keyed Shaft (M_t), Width of Key (b_k), Length of Key (l) & Diameter of Shaft using Key (d_s). With our tool, you need to enter the respective value for Transmitted Torque by Keyed Shaft, Width of Key, Length of Key & Diameter of Shaft using Key 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 Shear Stress?

In this formula, Shear Stress uses Transmitted Torque by Keyed Shaft, Width of Key, Length of Key & Diameter of Shaft using Key. We can use 2 other way(s) to calculate the same, which is/are as follows -

Shear Stress = Force on Key/(Width of Key*Length of Key)
Shear Stress = (2*Torque Transmitted by Shaft)/(Width of Key*Diameter of Shaft using Key*Length of Key)

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