Question

A circular specimen of MgO is loaded using a three-point bending mode. Compute the minimum possible radius of the specimen without fracture, given that the applied load is 500 N (112 lbf), the flexural strength is 105 MPa (15,000 psi), and the separation between load points is 50.0 mm (1.97 in.).

Answer 1

Answer:

The value of  minimum possible radius of the specimen without fracture

$r$ = 4.23 mm

Explanation:

Given data

Applied load F =  500 N

Flexural strength = 105 M Pa

Separation between load points =  50 mm

The minimum possible radius of the specimen without fracture is given by

$r_} = \sqrt[3]{\frac{(500) (50)}{(105) (3.14) } }$

$r$ = 4.23 mm

This is the value of  minimum possible radius of the specimen without fracture.