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 1. Assume that all bars are pin-connected. (а) Sketch a complete Free Body Diagram (FBD) for the beam with clearly shows the all forces/moment involved. From the FBD, determine the equation of force for member AB, PAB and also the critical force, Perx and Peay associated with member AB. (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.
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 1. Assume that all bars are pin-connected. (а) Sketch a complete Free Body Diagram (FBD) for the beam with clearly shows the all forces/moment involved. From the FBD, determine the equation of force for member AB, PAB and also the critical force, Perx and Peay associated with member AB. (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.
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter10: Statically Indeterminate Beams
Section: Chapter Questions
Problem 10.4.35P: The continuous frame ABC has a fixed support at A, a roller support at C, and a rigid corner...
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