Answer to Question #210152 in Civil and Environmental Engineering for Ri Jin

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

"\\sigma_y = \\frac{P}{A}[\\frac{Pe}{E}sec[\\frac{L}{2} \\sqrt{\\frac{P}{EI}}]]"

Substituting "290*10^6 Pa" for "\\sigma_y";

"15.5*10^{-3}m^2" for A;

"200*10^7" for E;

10 m for L;

"365*10^6" for I ;

0.3 for e;

"2.01*10^{-3}" for s

"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= 173.5385 N"

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


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