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At its narrowest point, the femur bone in the human leg resembles a hollow cylinder that has an...

Question:

At its narrowest point, the femur bone in the human leg resembles a hollow cylinder that has an outer radius of roughly 1.3 cm and an inner radius of just about 0.46 cm. 1) Assuming that the ultimate strength of the bone is 1.7 x 10{eq}^{8} {/eq} N/m{eq}^{2} {/eq}, how much force will be required to rupture it?

Stress:

Stress or pressure, P, is the force, F, exerted on an object's contact area, A. This pressure is directly proportional to the force while inversely proportional to area. Mathematically speaking, this is given by:

{eq}P=\frac{F}{A} {/eq}

The SI unit for pressure is Pascals, such that {eq}1\,Pa=1\,\frac{N}{m^2} {/eq}

Answer and Explanation:

We are solving for maximum force that the bone can withstand given its strength. We need to first solve the contact area (which contains the bone).

{...

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What is Static Pressure? - Definition & Formula

from Introduction to Engineering

Chapter 5 / Lesson 3
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