The image above represents modulus of rupture.

To compute for modulus of rupture, three essential parameters are needed and these parameters are **Bending Moment (M), Distance (c) **and **Moment of Inertia (I).
**

The formula for calculating modulus of rapture:

σ = ^{Mc} / _{I}

Where:

σ = Modulus of Rupture

M = Bending Moment

c = Distance

I = Moment of Inertia

Let’s solve an example;

Find the modulus of rupture when the bending moment is 22, the distance is 10 and the moment of inertia is 14.

This implies that;

M = Bending Moment = 22

c = Distance = 10

I = Moment of Inertia = 14

σ = ^{Mc} / _{I}

σ = ^{22(10)} / _{14}

σ = ^{220} / _{14}

σ = 15.71

Therefore, the **modulus of rupture **is **15.71 Pa.**

**Calculating the Bending Moment when the Modulus of Rupture, the Distance and the Moment of Inertia is Given.**

M = ^{σ x I} / _{c}

Where;

M = Bending Moment

σ = Modulus of Rupture

c = Distance

I = Moment of Inertia

Let’s solve an example;

Find the bending moment when the modulus of rupture is 22, the distance is 8 and the moment of inertia is 2.

This implies that;

σ = Modulus of Rupture = 22

c = Distance = 8

I = Moment of Inertia = 2

M = ^{σ x I} / _{c}

M = ^{22 x 2} / _{8}

M = ^{44} / _{8}

M = 5.5

Therefore, the **bending moment **is **5.5.**

Continue reading How to Calculate and Solve for Modulus of Rupture | Fracture Mechanics