Chapter 6, Problem 6.46P

Interpretation Introduction

Interpretation:

The Flexural strength and Flexural modulus should be calculated for given data of a bar of $A{l}_2{O}_3$.

Concept introduction:

The ability of any specimen to undergo deformation under the influence of load is known as a Flexural strength.

We can determine the flexural strength with the help of below-mentioned formula:

${\sigma }_{Bend}=\frac{3\text{FL}}{2{\text{wh}}^2}$

In the above-mentioned formula,

• F = the fracture
• L= the distance between the two points
• w = width of the specimen
• h = height of the specimen

The ratio of strength and stress in deformation is known as Flexural Modulus.

We can determine the flexural modulus with the help of below mentioned formula:

$E_{bend}=\frac{{\text{L}}^3\text{F}}{4{\text{ wh}}^3\delta }$

In the above mentioned formula,

• F = the fracture
• L= the distance between the two points
• w = width of the specimen
• h = height of the specimen
• $\delta$ = the deflection