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Q3 A horizontal beam BC is subjected to uniformly distributed load, w and at the same time it is supported at end B by a

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Q3 A horizontal beam BC is subjected to uniformly distributed load, w and at the same time it is supported at end B by a column AB (diameter of 50 mm) as shown in Figure Q3. Assume that all bars are pin-connected. (a) Sketch a complete Free Body Diagram (FBD) for the beam with clearly shows the concentrated load and reaction forces acted upon the beam. From the FBD, determine the equation of force for member AB, PAB and also the critical force, Pcr.x and Pcry associated with member AB. 15 marks (b) Assume that the factor of safety with respect to buckling is 2.0 and the column is made of Steel Alloys with structural A992, determine the uniformly distributed load, w that can be applied onto beam BC without causing a column AB to buckle. 5 marks W B L = 5m L = 2m y LA Figure Q3 Q3 A horizontal beam BC is subjected to uniformly distributed load, w and at the same time it is supported at end B by a column AB (diameter of 50 mm) as shown in Figure Q3. Assume that all bars are pin-connected. (a) Sketch a complete Free Body Diagram (FBD) for the beam with clearly shows the concentrated load and reaction forces acted upon the beam. From the FBD, determine the equation of force for member AB, PAB and also the critical force, Pcr.x and Pcry associated with member AB. 15 marks (b) Assume that the factor of safety with respect to buckling is 2.0 and the column is made of Steel Alloys with structural A992, determine the uniformly distributed load, w that can be applied onto beam BC without causing a column AB to buckle. 5 marks W B L = 5m L = 2m y LA Figure Q3

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