Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 9.2, Problem 17P
To determine
Find the initial force of the pipe P and the elongation of the pipe
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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 9 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 9.2 - In each case, determine the internal normal force...Ch. 9.2 - Determine the internal normal force between...Ch. 9.2 - The post weighs 8 kN/m. Determine the internal...Ch. 9.2 - The rod is subjected to an external axial force of...Ch. 9.2 - The rigid beam supports the load of 60 kN....Ch. 9.2 - The 20-mm-diameter A-36 steel rod is subjected to...Ch. 9.2 - Prob. 2FPCh. 9.2 - The 30-mm-diameter A992 steel rod is subjected to...Ch. 9.2 - Prob. 4FPCh. 9.2 - Prob. 5FP
Ch. 9.2 - The 20-mm-diameter 2014-T6 aluminum rod is...Ch. 9.2 - The A992 steel rod is subjected to the loading...Ch. 9.2 - The copper shaft is subjected to the axial loads...Ch. 9.2 - The composite shaft, consisting of aluminum,...Ch. 9.2 - The composite shaft, consisting of aluminum,...Ch. 9.2 - The 2014-T6 aluminum rod has a diameter of 30 mm...Ch. 9.2 - The A-36 steel drill shaft of an oil well extends...Ch. 9.2 - The truss is made of three A-36 steel members,...Ch. 9.2 - The truss is made of three A-36 steel members,...Ch. 9.2 - The assembly consists of two 10-mm diameter red...Ch. 9.2 - The assembly consists of two 10-mm diameter red...Ch. 9.2 - The load is supported by the four 304 stainless...Ch. 9.2 - The load is supported by the four 304 stainless...Ch. 9.2 - The rigid bur is supported by the pin-connected...Ch. 9.2 - The post is made of Douglas fir and has a diameter...Ch. 9.2 - The post is made of Douglas fir and has a diameter...Ch. 9.2 - The coupling rod is subjected to a force of 5 kip....Ch. 9.2 - Prob. 17PCh. 9.2 - The linkage is made of three pin-connected A992...Ch. 9.2 - The linkage is made of three pin-connected A992...Ch. 9.2 - The assembly consists of three titanium...Ch. 9.2 - The rigid beam is supported at its ends by two...Ch. 9.2 - Prob. 22PCh. 9.2 - The steel bar has the original dimensions shown in...Ch. 9.2 - Determine the relative displacement of one end of...Ch. 9.2 - Prob. 25PCh. 9.2 - The truss consists of three members, each made...Ch. 9.2 - Prob. 27PCh. 9.2 - The observation cage C has a weight of 250 kip and...Ch. 9.2 - Determine the elongation of the aluminum strap...Ch. 9.2 - The ball is truncated at its ends and is used to...Ch. 9.5 - The column is constructed from high-strength...Ch. 9.5 - The column is constructed from high-strength...Ch. 9.5 - The A-36 steel pipe has a 6061-T6 aluminum core....Ch. 9.5 - If column AB is made from high strength precast...Ch. 9.5 - If column AB is made from high strength precast...Ch. 9.5 - Determine the support reactions at the rigid...Ch. 9.5 - If the supports at A and C are flexible and have a...Ch. 9.5 - The load of 2000 lb is to be supported by the two...Ch. 9.5 - The load of 2000 lb is to be supported by the two...Ch. 9.5 - The A-36 steel pipe has an outer radius of 20 mm...Ch. 9.5 - The 10-mm-diameter steel bolt is surrounded by a...Ch. 9.5 - The 10-mm-diametcr steel bolt is surrounded by a...Ch. 9.5 - The assembly consists of two red brass C83400...Ch. 9.5 - The rigid beam is supported by the three suspender...Ch. 9.5 - Prob. 45PCh. 9.5 - If the gap between C and the rigid wall at D is...Ch. 9.5 - The support consists of a solid red brass C83400...Ch. 9.5 - The specimen represents a filament-reinforced...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The 2014-T6 aluminum rod AC is reinforced with the...Ch. 9.5 - The 2014-T6 aluminum rod AC is reinforced with the...Ch. 9.5 - The three suspender bars are made of A992 steel...Ch. 9.6 - The C83400-red-brass rod AB and 2014-T6-aluminum...Ch. 9.6 - The assembly has the diameters and material...Ch. 9.6 - The rod is made of A992 steel and has a diameter...Ch. 9.6 - The two cylindrical rod segments are fixed to the...Ch. 9.6 - The two cylindrical rod segments are fixed to the...Ch. 9.6 - Prob. 61PCh. 9.6 - The bronze C86100 pipe has an inner radius of 0.5...Ch. 9.6 - The 40-ft-long A-36 steel rails on a train track...Ch. 9.6 - The device is used to measure a change in...Ch. 9.6 - Prob. 65PCh. 9.6 - Prob. 66PCh. 9.6 - Prob. 67PCh. 9.6 - When the temperature is at 30C, the A-36 steel...Ch. 9.6 - The 50-mm-diameter cylinder is made from Am...Ch. 9.6 - The 50-mm-diametcr cylinder is made from Am...Ch. 9.6 - Prob. 71PCh. 9.6 - The cylinder CD of the assembly is heated from T1...Ch. 9.6 - The cylinder CD of the assembly is heated from T1...Ch. 9.6 - Prob. 74PCh. 9 - The assembly consists of two A992 steel bolts AB...Ch. 9 - The assembly shown consists of two A992 steel...Ch. 9 - The rods each have the same 25-mm diameter and...Ch. 9 - Two A992 steel pipes, each having a...Ch. 9 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 9 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 9 - The rigid link is supported by a pin at A and two...Ch. 9 - The joint is made from three A992 steel plates...
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