Question #210152

A W360 x 122 section is used as a column with an effective length of 10 m. Determine the maximum load that can be carried at an eccentricity of 300 mm. Should the load be placed on the X or Y axis? Assume σy = 290 MPa.



1
Expert's answer
2021-06-29T00:31:29-0400

σy=PA[PeEsec[L2PEI]]\sigma_y = \frac{P}{A}[\frac{Pe}{E}sec[\frac{L}{2} \sqrt{\frac{P}{EI}}]]

Substituting 290106Pa290*10^6 Pa for σy\sigma_y;

15.5103m215.5*10^{-3}m^2 for A;

200107200*10^7 for E;

10 m for L;

365106365*10^6 for I ;

0.3 for e;

2.011032.01*10^{-3} for s

290106=P15.5103[P0.32.01103sec[102P200107365103]]290*10^6 = \frac{P}{15.5*10^{-3}}[\frac{P*0.3}{2.01*10^{-3}}sec[\frac{10}{2} \sqrt{\frac{P}{200*10^7*365*10^3}}]]

P=173.5385NP= 173.5385 N

The coat placed in a direction since the section module is more in the y direction.


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