An Introduction to Biomechanics Solids and Fluids, Analysis and Design 2nd. Edition by Jay D. Humphrey, Sherry L. O’Rourke | 9781493926237 | 1493926233 | Holooly

An Introduction to Biomechanics Solids and Fluids, Analysis and Design [EXP-35054]

83 SOLVED PROBLEMS

Question: 10.10

A basic laboratory setup is shown in Fig. 10.17 for the pur-poses of studying flow in a stenotic artery. Determine the inlet pressure for the test section.

Verified Answer:

Here, we must use the pipe-flow equation separatel...

Question: 3.1

A chordae tendineae specimen initially 10 mm long is to resist an axial tensile load f of 100 g. The specimen initially has a 1.0-mm diameter. What is the maximum axial stress that the chordae will experience?

Verified Answer:

We recall that axial stress is computed via the ap...

Question: 8.9

A forced vortex flow is given by v=rωoeθ, where ωo is constant (Fig. 8.16). Determine if Bernoulli’s equation can be used to determine the pressure differ-ence between two radial locations. Ignore gravity.

Verified Answer:

For

\nu _{r}\hat{e}_{r}+\nu _{\theta }\hat{...

Question: 4.3

A hollow LEHI cylinder has an inner radius a=15 mm, an outer radius c=20 mm, and a length L=0.5 m.The applied torque T is 600 Nm with an angle of twist Δθ(z=L)=3.57^°.Calculate σzθ)max and σzz)max,find the value of the shear modulus G, and calculate εzθ)max and εzz.

Verified Answer:

From Eqs. (4.37) and (4.40),

...

Question: 4.4

A solid circular member is to be subjected to an applied torque of 500 Nm. Find the required diameter of the member so as not to exceed the maximum stress σzθ of 125 MPa.

Verified Answer:

Given

\sigma _{z\theta } =125,MPa=1...

Question: 7.5

Although the p that appears in Eq. (7.66) is actually a Lagrange multiplier that enforces the incompressibility constraint, similar to its role in Eq. (6.76) for nonlinear solids, its value is equivalent to the hydrostatic pressure for an incompressible Newtonian fluid. Prove this.

Verified Answer:

Recall from Eq. (7.3) that the hydrostatic pressur...

Question: 10.8

As noted earlier in this chapter, the primary function of the lungs is to facilitate gas exchange between the atmosphere and the blood. Toward this end, the capillary system in the lungs is very different than that found elsewhere. Conforming to the alveolar geometry (Fig. 10.3), capillary blood

Verified Answer:

Fung considered the pressure drop

\Delta p[...

Question: 7.3

Compute the components of [D] for the velocity field in Example 7.1. Consider only x–y terms.

Verified Answer:

Given that

\nu =Ax\hat{i}-Ay\hat{j}

...

Question: 6.1

Compute the components of [F] for the motions associated with Eqs. (2.50), (2.52), and (2.55), and then calculate the associated values of [E]and [ε].ux=(Λ-1)X,uy=0,ux=κY,uy=0,ux=(cos∅-1)X+sin∅Y, uy=(-sin∅)X+(cos∅-1)Y.

Verified Answer:

First, consider the mathematically simple 1-D stre...

Question: 8.2

Consider a container of fluid at rest with a Cartesian coordinate defined as positive downward and the origin located at the surface of the fluid (Fig. 8.3). Find the hydrostatic pressure p at the depth h.

Verified Answer:

From Eqs. (8.36), (8.40), and (8.42), with

...

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