Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN: 9781337093347
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
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Question

7

Clamps like the one shown are commonly used in
woodworking applications. This clamp has the dimensions
given in the table below the figure, and its jaws are t =56
mm thick (in the direction perpendicular to the plane of the
picture).
a.) The screws of the clamp are adjusted so that there is a
uniform pressure of P =
= 150 kPa being applied to the
workpieces by the jaws. Determine the force carried in each
screw. Hint: the uniform pressure can be modeled in 2-D as a
uniform distributed load with intensity w = Pt (units of
N/m) acting over the length of contact between the jaw and
the workpiece.
b.) Determine the minimum vertical force (parallel to the
jaws) required to pull either one of the workpieces out of the
clamp jaws. Use a coefficient of static friction between all
contacting surfaces of µs = 0.56 and the same clamping
pressure given for part (a).
2013 Michael Swanbom
BY NC SA
A
B
с
C
D
a
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
92 mm
b
166 mm
с
46 mm
d
25 mm
h
53 mm
Enter your answers in Newtons. Enter positive values for
tension or negative values for compression for part (a).
Neglect the weight of the workpiece and the clamp for all
calculations.
a.) The force in screw AB is -222
The force in screw CD is -222
b.) The minimum force to move the workpiece is
249
☑ N.
× N.
☑ N.
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Transcribed Image Text:Clamps like the one shown are commonly used in woodworking applications. This clamp has the dimensions given in the table below the figure, and its jaws are t =56 mm thick (in the direction perpendicular to the plane of the picture). a.) The screws of the clamp are adjusted so that there is a uniform pressure of P = = 150 kPa being applied to the workpieces by the jaws. Determine the force carried in each screw. Hint: the uniform pressure can be modeled in 2-D as a uniform distributed load with intensity w = Pt (units of N/m) acting over the length of contact between the jaw and the workpiece. b.) Determine the minimum vertical force (parallel to the jaws) required to pull either one of the workpieces out of the clamp jaws. Use a coefficient of static friction between all contacting surfaces of µs = 0.56 and the same clamping pressure given for part (a). 2013 Michael Swanbom BY NC SA A B с C D a Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 92 mm b 166 mm с 46 mm d 25 mm h 53 mm Enter your answers in Newtons. Enter positive values for tension or negative values for compression for part (a). Neglect the weight of the workpiece and the clamp for all calculations. a.) The force in screw AB is -222 The force in screw CD is -222 b.) The minimum force to move the workpiece is 249 ☑ N. × N. ☑ N.
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