COSMOS: Complete Online Solutions Manual Organization System
Chapter 4, Solution 74.
Free-Body Diagram:
Let E be the intersection of the lines of action
of the three forces acting on the tool.
From the free-body diagram, using law of sines:
6 in. + ( 0.76 in.) tan 35°
L
=
sin 95°
sin 30°
L = 13.0146 in.
Also:
yBD = L − y AE − 0.88 in.
= 13.0146 in. −
0.76 in.
− 0.88 in.
cos 35°
= 11.2068 in.
And
1.8 in.
yBD
α = tan −1
1.8 in.
= tan −1
= 9.1247°
11.2086 in.
Then from the force triangle and using the law of sines:
B
14 lb
=
sin150° sin 9.1247°
Solving for B:
B = 44.141 lb, or
on the member B = 44.141 lb
80.9°, and on the lid B = 44.1 lb
80.9°
COSMOS Chapter 4 Solution 74
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