Learning Goal:
The method of sections is used to find the force in a specific member
of a truss and is based on the principle that, if a body is in equilibrium,
then every part of that body is also in equilibrium. When applied, the
method of sections "cuts" or sections the members of a truss and
exposes their internal forces. To find the unknown internal member
forces, the free-body diagram of a section is drawn and the equations
of equilibrium are applied:
sum F_(x)=0
sum F_(y)=0
sum M_(O)=0
Because there are only three independent equilibrium equations,
section cuts should be made such that there are not more than three
members that have unknown forces.
As shown, a truss is loaded by the forces P_(1)=504lb and P_(2)=198lb and has the dimension a=11.0ft.
Determine F_(BC), the magnitude of the force in member BC, using the method of sections. Assume for your calculations that each member is in tension, and include in
your response the sign of each force that you obtain by applying this assumption.
Express your answer numerically in pounds to three significant figures.
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F_(BC)=
lbs
I _Review
Learning Goal: The method of sections is used to find the force in a specific member of a truss and is based on the principle that, if a body is in equilibrium, then every part of that body is also in equilibrium. When applied, the method of sections cuts or sections the members of a truss and exposes their internal forces. To find the unknown internal member forces, the free-body diagram of a section is drawn and the equations of equilibrium are applied: F=0
F=0 Mo=0
a/2 a/2 As shown, a truss is loaded by the forces P = 504 Ib and P = 198 1b and has the dimension = 11.0 ft Determine Fpc , the magnitude of the force in member BC, using the method of sections. Assume for your calculations that each member is in tension, and include in your response the sign of each force that you obtain by applying this assumption. Express your answer numerically in pounds to three significant figures.
Because there are only three independent equilibrium equations section cuts should be made such that there are not more than three members that have unknown forces.
View Available Hint(s
FBC
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