Link 2 (OB) in the figure, is 25 mm wide and 12 mm thick, and is cut from low- carbon steel bar stock having a minimum yield strength of 160 MPa and modulus of elasticity of 200 GPa. A concentrated force F-1000 N is applied at point C on the link 3, as shown. The end-condition constant of the link 2 is C = 1.2 for both buckling in and out of the plane of the drawing. a) Draw the free body diagrams of links 2 and 3, and based on static equilibrium, find the effective compressive load in the Link 2 (OB). Notice that the two links are hinged together and at simply supported at their supports. (3 points) b) Determine the maximum compressive load in the link 2 with (2 points) c) Considering a a design factor of na = 4, determine the critical in-plane buckling load, using the Johnson/Euler formulation (10 points) 2 1000 N 600 mm 800 mm 660 mm OB=0.800² + 0.6002 d) With design factor of na = 4, calculate the critical out-of-plane buckling load, using the Johnson/Euler formulation. (10 points)

Link 2 (OB) in the figure, is 25 mm wide and 12 mm thick, and is cut from low- carbon steel bar stock having a minimum yield strength of 160 MPa and modulus of elasticity of 200 GPa. A concentrated force F-1000 N is applied at point C on the link 3, as shown. The end-condition constant of the link 2 is C = 1.2 for both buckling in and out of the plane of the drawing. a) Draw the free body diagrams of links 2 and 3, and based on static equilibrium, find the effective compressive load in the Link 2 (OB). Notice that the two links are hinged together and at simply supported at their supports. (3 points) b) Determine the maximum compressive load in the link 2 with (2 points) c) Considering a a design factor of na = 4, determine the critical in-plane buckling load, using the Johnson/Euler formulation (10 points) 2 1000 N 600 mm 800 mm 660 mm OB=0.800² + 0.6002 d) With design factor of na = 4, calculate the critical out-of-plane buckling load, using the Johnson/Euler formulation. (10 points)

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.10.4P: Around brass bar of a diameter d1= 20mm has upset ends each with a diameter d2= 26 mm (see figure)....

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