PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 5, Problem 46P
To determine
The maximum distance (d) that the top book can extend from the bottom one so the stack does not topple over.
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2. Consider a polymeric membrane within a 6 cm diameter stirred ultrafiltration cell. The membrane is
30 μm thick. The membrane has pores equivalent in size to a spherical molecule with a molecular weight
of 100,000, a porosity of 80%, and a tortuosity of 2.5. On the feed side of the membrane, we have a
solution containing a protein at a concentration of 8 g L-1 with these properties: a = 3 nm and DAB = 6.0 ×
10-7 cm² s¹. The solution viscosity is 1 cP. The hydrodynamic pressure on the protein side of the
membrane is 20 pounds per square inch (psi) higher than on the filtrate side of the membrane. Assume
that the hydrodynamic pressure difference is much larger than the osmotic pressure difference
(advection >> diffusion). Determine the convective flow rate of the solution across the membrane.
1. Calculate the filtration flow rate (cm³ s¹) of a pure fluid across a 100 cm² membrane. Assume the
viscosity (µ) of the fluid is 1.8 cP. The porosity of the membrane is 40% and the thickness of the
membrane is 500 μm. The pores run straight through the membrane and these pores have a radius of
0.225 μm. The pressure drop applied across the membrane is 75 psi. (Note: 1 cP = 0.001 N s m²² = 0.001
Pa s.)
3. Tong and Anderson (1996) obtained for BSA the following data in a polyacrylamide gel for the
partition coefficient (K) as a function of the gel volume fraction (4). The BSA they used had a molecular
weight of 67,000, a molecular radius of 3.6 nm, and a diffusivity of 6 × 10-7 cm2 s-1. Compare the
Ogston equation
K=exp
+
to their data and obtain an estimate for the radius of the cylindrical fibers (af) that comprise the gel.
Hint: You will need to plot Ink as a function of gel volume fraction as part of your analysis. Please include
your MATLAB, or other, code with your solution.
Gel Volume Fraction (4)
KBSA
0.00
1.0
0.025
0.35
0.05
0.09
0.06
0.05
0.075
0.017
0.085
0.02
0.105
0.03
Chapter 5 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 5 - Determine the horizontal and vertical components...Ch. 5 - Determine the horizontal and vertical components...Ch. 5 - The truss is supported by a pin at A and a roller...Ch. 5 - Prob. 4FPCh. 5 - The 25 kg bar has a center of mass at G. If it is...Ch. 5 - Prob. 6FPCh. 5 - Determine the reactions at the supports. Prob....Ch. 5 - Determine the horizontal and vertical components...Ch. 5 - Determine the reactions at the supports. Prob....Ch. 5 - A uniform glass rod having a length L is placed in...
Ch. 5 - If the intensity of the distributed load acting on...Ch. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Prob. 27PCh. 5 - Prob. 30PCh. 5 - Prob. 35PCh. 5 - The cantilevered jib crane is used to support the...Ch. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - Determine the stiffness k of each spring so that...Ch. 5 - The boom supports the two vertical loads. Neglect...Ch. 5 - Prob. 43PCh. 5 - The 10-kg uniform rod is pinned at end A. If It is...Ch. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 53PCh. 5 - The uniform rod has a length I and weight W. It is...Ch. 5 - Prob. 7FPCh. 5 - Prob. 8FPCh. 5 - Prob. 9FPCh. 5 - Determine the support reactions at the smooth...Ch. 5 - Prob. 11FPCh. 5 - Determine the components of reaction that the...Ch. 5 - The uniform loads has a mass of 600 kg and is...Ch. 5 - The 100-lb door has its center of gravity at G....Ch. 5 - Determine me tension in each cable and the...Ch. 5 - The bent rod is supported at A, B, and C by smooth...Ch. 5 - The bent rod is supported at A, B, and C by smooth...Ch. 5 - Prob. 77PCh. 5 - Prob. 78PCh. 5 - Prob. 80PCh. 5 - Prob. 82PCh. 5 - The bar AB is supported by two smooth collars. At...Ch. 5 - Prob. 84PCh. 5 - Prob. 85PCh. 5 - Prob. 86PCh. 5 - Both pulleys are fixed to the shaft and as the...Ch. 5 - Member AB is supported by a cable BC and at A by a...Ch. 5 - Prob. 2RPCh. 5 - Prob. 4RP
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