Learning Goal: To be able the equations of equilibrium. o solve three-dimensional equilibrium problems using Part A As with two-dimensional problems, a free-body diagram is the first step in solving three-dimensional equilibrium problems. For the free-body diagram, it is important to identify the appropriate reaction forces and couple moments that act in three dimensions. At a support, a force arises when translation of the attached member is restricted and a couple moment arises when rotation is prevented.For a rigid body to be in equilibrium when subjected to a force system, both the resultant force and the resultant couple moment acting on the body must be zero. These two conditions are expressed as The J-shaped member shown in the figure(Figure 1) is supported by a cable DE and a single journal bearing with a square shaft at A. Determine the reaction forces Ay and A; at support A required to keep the system in equilibrium. The cylinder has a weight WB = 5.60 lb , and F = 1.50 lb is a vertical force applied to the member at C. The dimensions of the member are w = 1.50 ft , 1 = 6.00 ft , and h = 2.00 ft . Express your answers numerically in pounds to three significant figures separated by a comma. VO AEO t vec EF =0 Ay, Az = Ib ΣΜο- 0 where F is the sum of all external forces acting on the body and E Mo is the sum of the couple moments and the moments of all the forces about any point O. Submit Request Answer These two equations are equivalent to six scalar equilibrium equations that can be used to find up to six unknowns identified in a free-body diagram. These equations require that the sum of the Part B Complete previous part(s) Figure < 1 of 1 > Provide Feedback Next >
Learning Goal: To be able the equations of equilibrium. o solve three-dimensional equilibrium problems using Part A As with two-dimensional problems, a free-body diagram is the first step in solving three-dimensional equilibrium problems. For the free-body diagram, it is important to identify the appropriate reaction forces and couple moments that act in three dimensions. At a support, a force arises when translation of the attached member is restricted and a couple moment arises when rotation is prevented.For a rigid body to be in equilibrium when subjected to a force system, both the resultant force and the resultant couple moment acting on the body must be zero. These two conditions are expressed as The J-shaped member shown in the figure(Figure 1) is supported by a cable DE and a single journal bearing with a square shaft at A. Determine the reaction forces Ay and A; at support A required to keep the system in equilibrium. The cylinder has a weight WB = 5.60 lb , and F = 1.50 lb is a vertical force applied to the member at C. The dimensions of the member are w = 1.50 ft , 1 = 6.00 ft , and h = 2.00 ft . Express your answers numerically in pounds to three significant figures separated by a comma. VO AEO t vec EF =0 Ay, Az = Ib ΣΜο- 0 where F is the sum of all external forces acting on the body and E Mo is the sum of the couple moments and the moments of all the forces about any point O. Submit Request Answer These two equations are equivalent to six scalar equilibrium equations that can be used to find up to six unknowns identified in a free-body diagram. These equations require that the sum of the Part B Complete previous part(s) Figure < 1 of 1 > Provide Feedback Next >
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Learning Goal:
To be able to solve three-dimensional equilibrium problems using
the equations of equilibrium.
Part A
As with two-dimensional problems, a free-body diagram is the first
step in solving three-dimensional equilibrium problems. For the
free-body diagram, it is important to identify the appropriate
reaction forces and couple moments that act in three dimensions.
At a support, a force arises when translation of the attached
member is restricted and a couple moment arises when rotation is
prevented.For a rigid body to be in equilibrium when subjected to
a force system, both the resultant force and the resultant couple
moment acting on the body must be zero. These two conditions
are expressed as
The J-shaped member shown in the figure(Figure 1) is supported by a cable DE and a single journal bearing with a square shaft at A. Determine the reaction forces
Ay and Az at support A required to keep the system in equilibrium. The cylinder has a weight WB = 5.60 lb , and F = 1.50 Ib is a vertical force applied to the
member at C. The dimensions of the member are w = 1.50 ft , l = 6.00 ft , and h = 2.00 ft .
Express your answers numerically in pounds to three significant figures separated by a comma.
ΑΣΦ
vec
?
ΣF=0
Ay, Az =
lb
EMo = 0
where F is the sum of all external forces acting on the body
and Mo is the sum of the couple moments and the moments
of all the forces about any point O.
Submit
Request Answer
These two equations are equivalent to six scalar equilibrium
equations that can be used to find up to six unknowns identified in
a free-body diagram. These equations require that the sum of the
Part B Complete previous part(s)
Figure
1 of 1
>
Provide Feedback
Next >
E
D
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