![]() ![]() Find the force exerted by the walls and the floor on the ends of the shaft. The ball end B rests against the smooth vertical walls. A Y d Z Forces which interest or parallel with axis, do not cause the moment in that axisĮxample 3/5 The uniform 7m steel shaft has a mass of 200kg and is supported by a ball-and-socket joint at A in the horizontal floor. ![]() Not in this class, but be careful about the moment equations, things get very complicated if the body isnot spinning in a single plane!Ī r X r position vector: from any point on line l to any point on tline of action of the force.Each of the equation may be applied independently e.g., an accelerating car on a flat surface may be treated as in equilibrium in the vertical direction.y x zĮquilibrium in 3D or Fx= 0 Fy= 0 Fz= 0 any but only three independent (perpendicular) axis Body (bodies) in Equilibrium or any but only one point Mx= 0 My= 0 Mz= 0 OR any but only three independent axis vector approach may be easier at most 6 unknowns may be found. Direction of moment axis has a affect on solving problem. If thrust barring If glue or friction existģD Equilibrium Supports #5 Comparison with 2D supportsĮquilibrium in 3D y x z or Fx= 0 Fy= 0 Fz= 0 any but only three independent (perpendicular) axis Body (bodies) in Equilibrium or any but only one point Mx= 0 My= 0 Mz= 0 OR any but only three independent axis The 3 axises need not interesect at one point position(where the axis pass) also matters. bearing journal-bearing support 4 unknown thrust-bearing support 5 unknown For some problem, the couples in both case should be treated as zero to provide statical determinacy FBD : 3D Force Reaction 1 unknown 3 unknown No moment support? 2 unknownģ unknowns 6 unknowns 6. ![]()
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