The A992 steel column shown below can be considered pinned at its top and bottom and...

 

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The A992 steel column shown below can be considered pinned at its top and bottom and braced against its weak axis at the mid-height. The modulus of elasticity of the section is 200 GPa and the yield strength is 345 MPa. Assume that the cross-sectional area of the column is 7.4 x 10³ m², the moment of inertia about the strong axis is 87.3 x 106 m², and the moment of inertia about the weak axis is 18.8 x 10-6 m4. a) Calculate the maximum allowable load, P, on the system (in kN) considering buckling and yielding. [Ans. to check: Pallow = 1,031 kN] b) Suppose instead the load in part (a) was P = 250 kN. Design the cross-section by calculating the required moment of inertia of the column to prevent yielding and buckling. Be sure to check weak and strong axes of bending. [Ans. to check 1 = 1.82x10² mm¹] 6 m 6 m P X The A992 steel column shown below can be considered pinned at its top and bottom and braced against its weak axis at the mid-height. The modulus of elasticity of the section is 200 GPa and the yield strength is 345 MPa. Assume that the cross-sectional area of the column is 7.4 x 10³ m², the moment of inertia about the strong axis is 87.3 x 106 m², and the moment of inertia about the weak axis is 18.8 x 10-6 m4. a) Calculate the maximum allowable load, P, on the system (in kN) considering buckling and yielding. [Ans. to check: Pallow = 1,031 kN] b) Suppose instead the load in part (a) was P = 250 kN. Design the cross-section by calculating the required moment of inertia of the column to prevent yielding and buckling. Be sure to check weak and strong axes of bending. [Ans. to check 1 = 1.82x10² mm¹] 6 m 6 m P X

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a Buckling about weak any b P weak any 7 Twrak ky 2 P 1030825K... View the full answer