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Buckling Q108 The length of rolled steel channel in Figure 2 is fixed...

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Buckling Q108

The length of rolled steel channel in Figure 2 is fixed rigidly at one end and is free at the other end

and is subjected to an axial load. It has a flange width of 93mm (A) and a depth of 48 mm (B).

Both the web and flange have a thickness of 8mm (C). The modulus of elasticity is 208 GPa and the yield stress is 290 MPa.

Determine the horizontal distance to the neutral axis from point P (left is positive, answer in mm).

Determine the vertical distance to the neutral axis from point P (up is positive, answer in mm).

Determine the 2nd moment of area around the horizontal neutral axis (answer in m^4).

Determine the 2nd moment of area around the vertical neutral axis (answer in mm^4).

Determine the load, under perfect conditions, that buckling and yielding occur simultaneously (answer in N).

Determine the channel length, under perfect conditions, given that the load is 419kN (answer in mm).

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