S Property Data

Section Name

W$8$X$58$

$\backslash$table$[[$Properties$,$Section modulus about $3$ axis,$],[$Cross$-$section $($axial$)$ area,$17\mathrm{.}1,52\mathrm{.}1143],[$Moment of Inertia about $3$ axis,$228.,$Section modulus about $2$ axis,$18\mathrm{.}2725],[$Moment of Inertia about $2$ axis,$75\mathrm{.}1,$Plastic modulus about $3$ axis,$59\mathrm{.}8],[$Product of Inertia about $2-3,0.,$Plastic modulus about $2$ axis,$27\mathrm{.}9],[$Shear area in $2$ direction,$4\mathrm{.}4625,$Radius of Gyration about $3$ axis,$3\mathrm{.}6515],[$Shear area in $3$ direction,$11\mathrm{.}097,$Radius of Gyration about $2$ axis,$2\mathrm{.}0957],[$Torsional constant,$3\mathrm{.}33,$Shear Center Eccentricity $($x$3),0.]]$

Given data for section propeties for compression design memebr beam is given for W$8$x$58$ shape and Length $=12$FT

$$ find Euler Buckling Load with hand calculations and sap $2000,$ discuss reason for differences

$$Calculate design strength of column using column curve and compare with Euler Buckling Load