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 aret = 49 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 = 115 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 us = 0.4 and the same clamping pressure given for part (a). 2013 Michael Swanbom B00 a b. Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 56 mm 84 mm 31 mm d 17 mm h 39 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 N. The force in screw CD is N. b.) The minimum force to move the workpiece is N.

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Author:Barry J. Goodno, James M. Gere
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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 aret = 49 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 = 115 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 us
= 0.4 and the same clamping pressure given for part (a).
2013 Michael Swanbom
BY NC SA
d
0000 O bo 0000000 P
b.
Values for dimensions on the figure are given in the following table. Note the figure may not be to scale.
Variable Value
a
56 mm
84 mm
31 mm
d
17 mm
h
39 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
N.
The force in screw CD is
N.
b.) The minimum force to move the workpiece is
N.
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 aret = 49 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 = 115 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 us = 0.4 and the same clamping pressure given for part (a). 2013 Michael Swanbom BY NC SA d 0000 O bo 0000000 P b. Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 56 mm 84 mm 31 mm d 17 mm h 39 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 N. The force in screw CD is N. b.) The minimum force to move the workpiece is N.
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