Learning Goal: To analyze a rod assembly in three-dimensional space and determin

Question

Learning Goal: To analyze a rod assembly in three-dimensional space and determine the support reactions by using the equations of equilibrium for a rigid body. The rod assembly shown has a ball-and-socket joint at A and a smooth journal bearing at C. The forces F1 = 258 kN, F2 = 66.0 kN, and F3 = 132 kN are applied at B, D, and D, respectively. The geometry of the rod assembly is given as a = 2.75 m, b = 0.850 m, c = 1.55 m, and d = 0.650 m. Neglect the weight of the rod. The journal bearing supports the rod in such a manner that it is free to rotate about the y axis. Determine the magnitude of the z component of the reaction at C. Express your answer to three significant figures and include the appropriate units. Finding the x component of the reaction at C Determine the magnitude of the x component of the reaction exerted on the rod at C. Express your answer to three significant figures and include the appropriate units. Finding the z component of the reaction at A Determine the magnitude of the z component of the reaction on the rod at A Express your answer to three significant figures and include the appropriate units. Finding the x component of the reaction at A Determine the magnitude of the x component of the reaction on the rod at A Express your answer to three significant figures and include the appropriate units.

Explanation / Answer

a )Taking moment about A (x axis)

reaction at c (z component) = 102.67 KN in positive z direction
b)Taking moment about A (z axis)

reaction at c (x component) = 188.83 KN in negative x direction
c)summation of vertical forces = 0
=> z compnent = 89.33 -ve z direction
d))summation of horizontal forces = 0

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