Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Chapter 6, Problem 6.28SP
To determine
The coeffeient of static friction between block and supporting force
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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 6 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 6 - A 150 Ib block rests on a horizontal floor. The...Ch. 6 - A 200 lb block rests on a horizontal surface. The...Ch. 6 - A tool locker having a mass of 140 kg rests on a...Ch. 6 - A body weighing 100 lb rests on an inclined plane,...Ch. 6 - For Problem 6.4 , compute the friction force F...Ch. 6 - Block A in the figure shown has a mass of 10 kg...Ch. 6 - Compute the horizontal force P required to cause...Ch. 6 - Prob. 6.8PCh. 6 - Calculate the magnitude of the force P, acting as...Ch. 6 - For the block-and-wedge system shown in Figure...
Ch. 6 - Calculate the value of the horizontal force P...Ch. 6 - Two blocks, each having a mass of 100 kg and...Ch. 6 - Calculate the force P required to move the wedges...Ch. 6 - A heavy machine is lowered into a pit by means of...Ch. 6 - Calculate the maximum weight that the person in...Ch. 6 - A flat belt passes halfway around a...Ch. 6 - A belt-and-pulley arrangement has a maximum belt...Ch. 6 - Rework Problem 6.17 for a V-belt with a 40° groove...Ch. 6 - A mass of 320 kg is prevented from falling by a...Ch. 6 - A belt is wrapped around a pulley for 180°. The...Ch. 6 - A jackscrew has a square thread with a pitch of...Ch. 6 - The mean diameter of a square-threaded jackscrew...Ch. 6 - The woodworking vise shown is designed for a...Ch. 6 - A square-threaded screw is used ii a press, shown,...Ch. 6 - For the following computer problems, any...Ch. 6 - Prob. 6.26CPCh. 6 - For the following computer problems, any...Ch. 6 - 6.28 A horizontal force of 18 lb is required to...Ch. 6 - 6.29 A 90-Ib block lying on a rough horizontal...Ch. 6 - 6.30 The tool locker of Problem 6.3 is 0.8 m by...Ch. 6 - Prob. 6.31SPCh. 6 - A 50-lb block rests on a rough inclined plane. If...Ch. 6 - If in Problem 6-32 the plane has an inclination...Ch. 6 - A 325-lb block rests on a plane inclined 25° with...Ch. 6 - A 47 lb body is supported on a plane inclined 33°...Ch. 6 - Prob. 6.36SPCh. 6 - In the figure shown, block A weighs 200 lb and...Ch. 6 - Calculate the magnitude of the horizontal force P,...Ch. 6 - In the figure shown, the coefficient of static...Ch. 6 - A 500-lb block rests on a horizontal surface, as...Ch. 6 - A ladder, 8 m long and having a mass of 25 kg,...Ch. 6 - The ladder shown is supported by a horizontal...Ch. 6 - 6.43 A 16-ft ladder weighing 62 lb (assumed...Ch. 6 - Prob. 6.44SPCh. 6 - 6.45 Compute the minimum weight of block B that...Ch. 6 - Prob. 6.46SPCh. 6 - Prob. 6.47SPCh. 6 - Prob. 6.48SPCh. 6 - Prob. 6.49SPCh. 6 - Prob. 6.50SPCh. 6 - Calculate the force P necessary to start the block...Ch. 6 - A machine having a mass of 500 kg is to be raised...Ch. 6 - 6.53 A ship may exert an estimated pull of 8000 lb...Ch. 6 - A sailor wraps a heavy rope around a bollard (a...Ch. 6 - When a large rope is wrapped twice around a post,...Ch. 6 - A band brake is in contact with drum C through an...Ch. 6 - Prob. 6.57SPCh. 6 - The mean diameter of a square-threaded jackscrew...Ch. 6 - The manually operated apple cider press shown has...
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