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Company Boeing 12/17/2024 <br />Designer :Daniel Jaffe 3:45:32 PM <br />11RISAJob Number Checked By: Clemens Ro... <br />Model Name : 40-26 4th Floor Cantilever Rack <br />Q„ y <br />= —0.001 ksi <br />Shear stress in the y-axis <br />or,, <br />= 3.739 ksi <br />Shear stress in the z-axis <br />T = <br />0 ksi <br />Shear stress due to torsion <br />Awy <br />= 2 A'y — 2.859 in <br />Effective shear area in local y-axis for required <br />1.2 <br />strength <br />V,y <br />= (1,7,,,l + �Tj)A,,,,j = 0.006 k <br />Shear force due to factored loads, y <br />Awz <br />= 4 A�Jz = 0.704 ir12 <br />Effective shear area in local z-axis for required <br />1.2 <br />strength <br />Vwz <br />= (19,j + ITI )Awz = 2.634 k <br />Shear force due to factored loads, z <br />Axial Tension Analysis <br />0.000 k 205.054 k - - <br />Check <br />Allowable Tensile Strength <br />Ot = <br />0.9 <br />Resistance factor in tension <br />Fy = <br />42 ksi <br />Specified minimum yield stress <br />A9 <br />= 5.425 in <br />Gross cross -sectional area of member <br />T,,, = <br />A9Fy = 227.838 k <br />Tensile resistance due to yielding (Eq. D2-1) <br />T„ = <br />OtT,z = 205.054 k <br />Factored tensile resistance (Sec. 133.2.2) <br />T = <br />P„ = 5.172 k <br />Tensile axial force due to factored loads <br />Axial Compression Analysis <br />5.172 k 68.606 k - - <br />Flexural Buckling Stress <br />E = <br />29000 ksi <br />Modulus of elasticity <br />Ky <br />= 1 <br />Effective length factor for the flexural <br />buckling about the y-axis <br />Distance between points which brace the <br />Lby <br />= 3 ft <br />member against flexural buckling about the <br />y-axis <br />ry = <br />1.647 in <br />Radius of gyration about the local y-axis <br />(weak) <br />Kz <br />_ 1 <br />Effective length factor for the flexural <br />buckling about the z-axis <br />Distance between points which brace the <br />Lbz <br />= 12 ft <br />member against flexural buckling about the <br />z-axis <br />r, = <br />3.569 in <br />Radius of gyration about the local z-axis <br />(strong) <br />a <br />9 in <br />Intermediate fastener or spot weld spacing <br />ri, = <br />0.642 in <br />Minimum radius of gyration of unreduced <br />cross-section of individual shape <br />K,Ly = 21.856 <br />Effective slenderness ratio about the local y- <br />r11 <br />axis (weak) <br />RISA-3D Version 19 <br />[ 40-26 cantilever rack copy.r3d ] Page 6 <br />