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Company Boeing <br />12/17/2024 <br />11RISA <br />Designer :Daniel Jaffe <br />3:45:44 PM <br />Job Number <br />Checked By: Clemens Ro... <br />Model Name : 40-26 4th Floor Cantilever Rack <br />Fy = 42 ksi <br />Specified minimum yield stress <br />Fere = min(FCTe, FcreFTB) = 16.966 ksi <br />Critical lateral -torsional buckling stress <br />(Sec. E2.3) <br />A, —FFj,-1.573 <br />Slenderness factor <br />(Eq. E2-4) <br />0.8 <br />C77\ <br />For A,> 1.5, F,, _ �2 J F, = 14.879 ksi <br />,. <br />Compressive stress <br />(Eq. E2-3) <br />Check Allowable Compressive Stress <br />Ag = 5.425 in 2 <br />Gross cross -sectional area of member <br />F,,, = 14.879 ksi <br />Compressive stress <br />(Sec. E2) <br />P,,,e ArF,,, 80.713 k <br />Axial resistance for overall buckling <br />(Eq. E2-1) <br />Local Buckling Interacting with Yielding and Global Buckling <br />A = 5.425 ksi <br />Effective area at stress Fn <br />(App. 1) <br />F,,, = 14.879 ksi <br />Compressive stress <br />(Sec. E2) <br />P,,,e = A9Fn, = 80.713 k <br />Axial resistance for overall buckling <br />(Eq. E2-1) <br />P,,,l = AE,F,,, < P,,,e = 80.713 k <br />Axial resistance for local buckling <br />(Eq. E3.1-1) <br />P,,, = P„l = 80.713 k <br />Axial resistance <br />0, = 0.85 <br />Resistance factor in compression <br />P„ _ 0eP.,,, = 68.606 k <br />Factored axial resistance <br />(Sec. 133.2.2) <br />P= P� = 5.172 k <br />Compressive axial force due to factored loads <br />Flexural Analysis (Strong Axis) <br />22.131 k-ft 33.839 k-ft <br />- - <br />Spacing Requirements <br />a = 9 in <br />Intermediate fastener or spot weld spacing <br />s L 24 in <br />ma r� <br />Maximum longitudinal spacing of <br />(Eq. 11.1-1) <br />6 <br />connections <br />Yielding and Global Lateral -Torsional Buckling <br />Elastic section modulus of full unreduced <br />Sfy = 13.816 in <br />section relative to extreme fiber in first <br />(Program <br />yielding <br />Calculated) <br />Sf — 13.816 in <br />Elastic section modulus of full unreduced <br />(Program <br />section relative to extreme compression fiber <br />Calculated) <br />A9 = 5.425 in <br />Gross cross -sectional area of member <br />r, — 3.569 in <br />Radius of gyration about the local z-axis <br />(strong) <br />ry — 1.647 in <br />Radius of gyration about the local y-axis <br />(weak) <br />Local x coordinate of shear center with <br />:ca0in <br />respect to the centroid <br />E = 29000 ksi <br />Modulus of elasticity <br />RISA-3D Version 19 [ 40-26 cantilever rack copy.r3d ] Page 8 <br />