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Title: Statics of Rigid Bodies
Description: Statics is a branch of mechanics which studies the effects and distribution of forces of rigid bodies which are and remain at rest. In this area of mechanics, the body in which forces are acting is assumed to be rigid. The deformation of non-rigid bodies is treated in Strength of Materials. In the PDF i have uploaded there is a set of word problems with given solutions. There's also 2 problems provided for you to practice what you have read on the PDF for more details & info this is my email "smillare01.SM@gmail.com"
Description: Statics is a branch of mechanics which studies the effects and distribution of forces of rigid bodies which are and remain at rest. In this area of mechanics, the body in which forces are acting is assumed to be rigid. The deformation of non-rigid bodies is treated in Strength of Materials. In the PDF i have uploaded there is a set of word problems with given solutions. There's also 2 problems provided for you to practice what you have read on the PDF for more details & info this is my email "smillare01.SM@gmail.com"
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The Method of Sec,ons
• When we need to find the force
in only a few members of a truss,
we can analyze the truss using
the method of sec+ons
...
• For example, consider the two
truss members shown on the le?
in Fig
...
The Method of Sec,ons
• If the forces within the members
are to be determined, then an
imaginary secDon, indicated by
the blue line, can be used to cut
each member into two parts and
thereby “expose” each internal
force as “external” to the free-‐
body diagrams shown on the
right
...
”
•
The Method of Sec,ons
• The method of secDons can also be used to “cut” or secDon the
members of an enDre truss
...
”
• Since only three independent equilibrium equaDons (ΣFx = 0,
ΣFy = 0, ΣMO = 0) can be applied to the free-‐body diagram of
any segment, then we should try to select a secDon that, in
general, passes through not more than three members in which
the forces are unknown
...
6–15a
...
The Method of Sec,ons
• The free-‐body diagrams of the two segments are shown in Figs
...
The Method of Sec,ons
• Note that the line of acDon of each member force is specified
from the geometry of the truss, since the force in a member is
along its axis
...
The Method of Sec,ons
• Also, the member forces acDng on one part of the truss are
equal but opposite to those acDng on the other part—Newton’s
third law
...
”
The Method of Sec,ons
• The three unknown member forces FBC, FGC, and FGF can be
obtained by applying the three equilibrium equaDons to the
free-‐body diagram in Fig
...
The Method of Sec,ons
• If, however, the free-‐body diagram in Fig
...
(This, of course, is done in the usual manner by considering a
free-‐body diagram of the en+re truss
...
• For example, using the truss
segment in Fig
...
The Method of Sec,ons
• Likewise, F BC can be directly
obtained by summing moments
about G
...
• This ability to determine directly
the force in a parDcular truss
member is one of the main
advantages of using the method of
secDons
...
”
! For example, FBC is a tensile
force as represented in Fig
...
! In more complicated cases, the
sense of an unknown member
force may be assumed
...
The Method of Sec,ons
• Always assume that the unknown
member forces at the cut secDon
are tensile forces, i
...
, “pulling” on
the member
...
The Method of Sec,ons
The Method of Sec,ons
The Method of Sec,ons
The Method of Sec,ons
(Exercise 1)
The Method of Sec,ons
(Exercise 2)
Title: Statics of Rigid Bodies
Description: Statics is a branch of mechanics which studies the effects and distribution of forces of rigid bodies which are and remain at rest. In this area of mechanics, the body in which forces are acting is assumed to be rigid. The deformation of non-rigid bodies is treated in Strength of Materials. In the PDF i have uploaded there is a set of word problems with given solutions. There's also 2 problems provided for you to practice what you have read on the PDF for more details & info this is my email "smillare01.SM@gmail.com"
Description: Statics is a branch of mechanics which studies the effects and distribution of forces of rigid bodies which are and remain at rest. In this area of mechanics, the body in which forces are acting is assumed to be rigid. The deformation of non-rigid bodies is treated in Strength of Materials. In the PDF i have uploaded there is a set of word problems with given solutions. There's also 2 problems provided for you to practice what you have read on the PDF for more details & info this is my email "smillare01.SM@gmail.com"