Crushing Stress in Key Calculator

Crushing Stress in Key Formula:

\[ f_c = \frac{F \times 2}{t \times l} \]

Tangential Force (F):

Thickness of Key (t):

Length of Key (l):

Tolerance:

Crushing Stress (f_c):

1. What is Crushing Stress in Key?

Definition: Crushing stress in key is the compressive stress induced in the key material when transmitting torque between shaft and hub.

Purpose: It helps mechanical engineers ensure the key can withstand the transmitted forces without failing.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ f_c = \frac{F \times 2}{t \times l} \]

Where:

\( f_c \) — Crushing stress in key (Pascal)
\( F \) — Tangential force (Newton)
\( t \) — Thickness of key (meter)
\( l \) — Length of key (meter)

Explanation: The tangential force is multiplied by 2 (for double shear) and divided by the product of key thickness and length.

3. Importance of Crushing Stress Calculation

Details: Proper calculation ensures mechanical components can transmit required torque without key failure, preventing equipment damage.

4. Using the Calculator

Tips: Enter the tangential force, key thickness, key length, and tolerance percentage. All values must be > 0 except tolerance which can be negative.

5. Frequently Asked Questions (FAQ)

Q1: Why is the force multiplied by 2?
A: The factor of 2 accounts for the double shear condition typically present in key applications.

Q2: What's a typical tolerance percentage?
A: ±5% is common for most engineering applications, but this may vary based on specific requirements.

Q3: How do I determine the tangential force?
A: Tangential force can be calculated from torque divided by shaft radius (F = T/r).

Q4: What units should I use?
A: Use consistent SI units: Newtons for force, meters for dimensions, resulting in Pascals for stress.

Q5: What if my key has different dimensions?
A: The formula assumes a rectangular key. For other shapes, consult appropriate engineering references.