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 ΣF = 0 ΣΜo = 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. 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 external force components in the x, y, and z directions must be zero and the sum of the moment components about the x, y, and z axes are also zero. igure 1 of 1 D Part A 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 = 5.10 lb, and F = 1.60 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. ► View Available Hint(s) [ΠΙ ΑΣΦ Ay, Az = Submit Part B Complete previous part(s) Provide Feedback vec ? lb Next >
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 ΣF = 0 ΣΜo = 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. 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 external force components in the x, y, and z directions must be zero and the sum of the moment components about the x, y, and z axes are also zero. igure 1 of 1 D Part A 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 = 5.10 lb, and F = 1.60 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. ► View Available Hint(s) [ΠΙ ΑΣΦ Ay, Az = Submit Part B Complete previous part(s) Provide Feedback vec ? lb Next >
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text: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
ΣF = 0
Σ Μo = 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.
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 external force
components in the x, y, and z directions must be zero
and the sum of the moment components about the x, y,
and z axes are also zero.
Figure
x
R
B
1 of 1
D
Part A
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 = 5.10 lb, and F = 1.60 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.
► View Available Hint(s)
Ay, Az
Submit
=
VE ΑΣΦ
Part B Complete previous part(s)
Provide Feedback
↓↑
vec
?
lb
Next >
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 8 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning