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PROJECT Pace Supply <br />FOR The Beacon Group <br />SHEET NO.44 <br />CALCULATED BY TC <br />DATE <br />Rear Angle Post Analysis: <br />ASD analysis per AISI.  Section properties are based on net effective sections. <br /> LB SEISMIC <br /> LB STATIC <br />KxLx/rx =1*14 IN/0.644 IN <br /> =21.7 <br />KyLy/ry =1*14 IN/0.373 IN <br />=37.5 <=== (Kl/r)max <br />AXIAL  <br />Fe=π^2E/(KL/r)max^2 (EQ C4.1‐1) <br />=206.7 KSI <br />Fy/2=18.0 KSI <br />SINCE,      Fe > Fy/2 <br />THEN,     Fn=Fy(1‐Fy/4Fe)(EQ. C4‐3) <br />=36 KSI*[1‐36 KSI/(4*206.7 KSI)] <br />=34.4 KSI <br />Pn=Aeff*Fn (EQ C4‐2) <br />=13,773 LB <br />Ωc=1.92 <br /> PROPERTIES <br />Pa=Pn/Ωc (EQ C4‐1) <br />=13773 LB/1.92 t =0.089 IN <br />=7,173 LB Aeff =0.400 IN^2 <br />P/Pa=0.56 >  0.15 Ix =0.148 IN^4 <br />Sx =0.106 IN^3 <br />FLEXURE rx =0.644 IN <br />Iy =0.049 IN^4 <br />CHECK:P/Pa + (Cmx*Mx)/(Max*µx) ≤ 1.0 (EQ C5‐1)Sy =0.048 IN^3 <br />P/Pao + Mx/Max ≤ 1.0 (EQ C5‐2)ry =0.373 IN <br />Pno=Ae*Fy Kx =1.00 <br />=0.4 IN^2 *36000 PSI Lx =14.0 IN <br />=14,400 LB Ky =1.00 <br />Pao=Pno/Ωc Ly =14.0 IN <br />14400 LB/1.92 Fy=36 KSI <br />=7,500 LB E=29,500 KSI <br />Myield=My=Sx*Fy <br />=0.106 IN^3 * 36000 PSI Ωf=1.67 <br />=3,816 IN‐LB Cmx=0.85 <br />Max=My/Ωf Cb=1.0 <br />=3816 IN‐LB/1.67 <br />=2,285 IN‐LB <br />Pcr=π^2EI/(KL)max^2 <br />=π^2*29500000 PSI/(1*14 IN)^2 µx={1/[1‐(Ωc*P/Pcr)]}^‐1 <br />=219,850 LB ={1/[1‐(1.92*0 LB/219850 LB)]}^‐1 <br />=1.00 <br />THUS, <br />(0 LB/7173 LB) + (0.85*0 IN‐LB)/(2285 IN‐LB*1) = 1.0, OK <br />(0 LB/7500 LB) + (0 IN‐LB/2285 IN‐LB) = 1.0, OK <br />MATERIAL HANDLING ENGINEERING <br />TEL: (909) 869‐0989 <br />1130 E. CYPRESS STREET, COVINA, CA 91724 <br />INC. <br />SEIZMIC <br />3421 W Segerstrom Ave - <br />10111647610/31/2023