Free body diagram (FBD):-The pipe assembly supports the vertical loads shown. Determine thecomponents of reaction at the ball-and-socket joint A and thetension in the supporting cables BC and BD.Given:2mF.- 12 kNEquations of Equilibrium:F- 6 kNConverting all forces in vector form;TBD = TEDUBD = TBDraplTBD =Tao i+Tao j+Tao k1m2m12 kN6 kNTBCTạc = TecUBc = TBcPage1m 1SmTBc =|Teci+ Focj+Tac k Apply the equation of equilibrium, EM,-0. EM,-0 and EM,-0 andsolve the equation simultaniouslyThe reaction forces at point A can be eliminated by writing themoment equation of equilibrium about point A.TạokNIMA = 0TackNTAB X (TBp + Tạc) + (r, xF) + (r, X F,)-0Representing force at point A as F,=A,i + A,j+ A, kr, is the distance from point A to F,. Since r, is directed along y axis,therefore, r, = Oi + 4j + OkThen, applying the force equation of equilibrium, EF,=0, EF,=0 andEF,=0 and solve the equation simultaniouslyr, is the distance from point A to F,. Since r; is directed along y axis,therefore, r; = 0i + 5.5j + OkkNTABA,kN"AnyIMATa + Tec)x (T +Tarly (Tp +TarlelFar Fay FurM. F FoA.kN

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The pipe assembly supports the vertical loads shown. Determine the components of reaction at the ball-and-socket joint A and the tension in the supporting cables BC and BD. Given: F- 12 KN F- 6N 12 N AN

The pipe assembly supports the vertical loads shown. Determine the components of reaction at the ball-and-socket joint A and the tension in the supporting cables BC and BD. Given: F- 12 KN F- 6N 12 N AN

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Chemical and Phase Equilibrium

Phase diagrams or equilibrium phase diagrams are the graphical representations that show the phase transformations of the constituting elements with respect to the pressure, temperature, and compositions. The diagrams show the conditions that limit the different phases, namely solid, liquid, and gas. The diagram can also be utilized to verify the relations between the state variables. Most of the phase diagrams are temperature-pressure phase diagrams, with the variable parameter as the composition. Usually other variables such as solubility and pressure parameters are not indicated in the phase diagram. For a one-component system (unary phase diagram), the phase diagram is generally a function of temperature and pressure as the state variables, or temperature and volume. However, for a binary system (two-phase) having two components, the phase diagram is a function of temperature and composition as the state variables only. Coexisting of the different phases of the constituting elements is indicated in the phase diagram. A ternary phase diagram can be characterized by consisting of three phases in equilibrium.

Question

Free body diagram (FBD):-
The pipe assembly supports the vertical loads shown. Determine the
components of reaction at the ball-and-socket joint A and the
tension in the supporting cables BC and BD.
Given:
2m
F.- 12 kN
Equations of Equilibrium:
F- 6 kN
Converting all forces in vector form;
TBD = TEDUBD = TBD
rapl
TBD =
Tao i+
Tao j+
Tao k
1m
2m
12 kN
6 kN
TBC
Tạc = TecUBc = TBc
Page
1m 1Sm
TBc =|
Teci+ Focj+
Tac k

Apply the equation of equilibrium, EM,-0. EM,-0 and EM,-0 and
solve the equation simultaniously
The reaction forces at point A can be eliminated by writing the
moment equation of equilibrium about point A.
Tạo
kN
IMA = 0
Tac
kN
TAB X (TBp + Tạc) + (r, xF) + (r, X F,)-0
Representing force at point A as F,=A,i + A,j+ A, k
r, is the distance from point A to F,. Since r, is directed along y axis,
therefore, r, = Oi + 4j + Ok
Then, applying the force equation of equilibrium, EF,=0, EF,=0 and
EF,=0 and solve the equation simultaniously
r, is the distance from point A to F,. Since r; is directed along y axis,
therefore, r; = 0i + 5.5j + Ok
kN
TAB
A,
kN
"Any
IMATa + Tec)x (T +Tarly (Tp +TarlelFar Fay FurM. F Fo
A.
kN

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