A round bar made of Al2O3 (alumina) is tested under three point loading (bending

Question

A round bar made of Al2O3 (alumina) is tested under three point loading (bending) conditions as shown in the figure below to determine its strength. The diameter of the bar is 12.50 mm and the length L between supports is 150 mm. Using a universal testing machine, the force F is slowly applied downwards to be able to determine exactly the load at which the bar breaks. The readings of the testing machine indicates that the bar broke under an applied force of 2122 N. What is the flexural strength, in MPa, of the alumina bar? Round your answer to the nearest integer

Explanation / Answer

flexural strength=P*L/(pi*R^3) P=2122 L=0.15 R=0.00625 ==>sigma_f=414.99Mpa

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