arning Goal: be able to solve three-dimensional equilibrium problems using equations of equilibrium. • Part A with two-dimensional problems, a free-body diagram is the first p in solving three-dimensional equilibrium problems. For the e-body diagram, it is important to identify the appropriate ction forces and couple moments that act in three dimensions. a support, a force arises when translation of the attached mber is restricted and a couple moment arises when rotation is vented.For a rigid body to be in equilibrium when subjected to prce system, both the resultant force and the resultant couple ment acting on the body must be zero. These two conditions 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 Wg = 6.00 lb , and F = 1.40 lb 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. Ay, Az = 0,7.4 lb EF = 0 Previous Answers EMo= 0 ere EF is the sum of all external forces acting on the body Mo is the sum of the couple moments and the moments all the forces about any point O. Completed ese two equations are equivalent to six scalar equilibrium uations that can be used to find up to six unknowns identified in ree-body diagram. These equations require that the sum of the Part B Now, for the same J-shaped member, determine MA, . MA, and MA., the couple moments at the support about the x, y, and z axes, respectively, required to keep the system in equilibrium. The cylinder weighs WB = 6.00 lb ; a vertical force F = 1.40 lb acts at C; and the member's dimensions are w = 1.50 ft , l = 6.00 ft , and ure 1 of 1
arning Goal: be able to solve three-dimensional equilibrium problems using equations of equilibrium. • Part A with two-dimensional problems, a free-body diagram is the first p in solving three-dimensional equilibrium problems. For the e-body diagram, it is important to identify the appropriate ction forces and couple moments that act in three dimensions. a support, a force arises when translation of the attached mber is restricted and a couple moment arises when rotation is vented.For a rigid body to be in equilibrium when subjected to prce system, both the resultant force and the resultant couple ment acting on the body must be zero. These two conditions 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 Wg = 6.00 lb , and F = 1.40 lb 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. Ay, Az = 0,7.4 lb EF = 0 Previous Answers EMo= 0 ere EF is the sum of all external forces acting on the body Mo is the sum of the couple moments and the moments all the forces about any point O. Completed ese two equations are equivalent to six scalar equilibrium uations that can be used to find up to six unknowns identified in ree-body diagram. These equations require that the sum of the Part B Now, for the same J-shaped member, determine MA, . MA, and MA., the couple moments at the support about the x, y, and z axes, respectively, required to keep the system in equilibrium. The cylinder weighs WB = 6.00 lb ; a vertical force F = 1.40 lb acts at C; and the member's dimensions are w = 1.50 ft , l = 6.00 ft , and ure 1 of 1
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Item 5
5 of 5
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 = 6.00 lb , and F = 1.40 lb 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.
Ay, Az = 0, 7.4 lb
ΣF=0
Submit
Previous Answers
ΣΜΟ-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.
Completed
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
Now, for the same J-shaped member, determine MA., MA, and MA., the couple moments at the support about the x, y, and z axes, respectively, required to keep
the system in equilibrium. The cylinder weighs WB = 6.00 lb ; a vertical force F = 1.40 lb acts at C; and the member's dimensions are w = 1.50 ft , l = 6.00 ft , and
h = 2.00 ft .
Figure
1 of 1
Express your answers numerically in pound-feet to three significant figures separated by commas.
E
vec
?
MA, , MA,, MA. =
lb · ft
%3D
Ay'
D
Submit
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