Question

A mechanical experiment is done on two bone samples, one with a circular section and the second one a rib bone with rectangular section. The dimensions of bone samples are shown in the figure below. In this experiment, a 3-point bending was done by putting the specimens on two rigid supports, with the center of each support 2.5mm away from the free end of specimen at each side. A quasi-static load with the maximum of 1000N was applied at the center of each specimen:

1. What is the maximum deflection under the load measured for each specimen ?
2. Which specimen will experience failure first under the load ?
3. If the maximum allowable deflection is 0.3mm, what is the load required to take each specimen to that deformation?

Cylindrical bone side view Cylindrical bone section view 10mm 85mm Rib bone side view Rib bone section view 85mm 15mm 5mm

Answer 1