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i <br /> � �trucfiural . <br /> ; <br /> �ngineering � ��sigrt �nc. � <br /> ; <br /> 1815 Wriaht Ave La Verne CA 91750 Tel� 909 596 1351 Fax 909 596 7'f86 � <br /> � By: S.P. Project: MAJES"fIC GLOVE Project#: LV-012418-2 I <br /> ��AM Configuration:TYPE 1 SELECTIVE RACK � <br /> DEI�ERMINE ALLOWASLE MOMEf�lr CAPAGITY Z���� � <br /> A)Checl<compression flanae for local buckling�B2 11 ��s��� � � <br /> w= c-2*t-2*r P � <br /> � <br /> = l.75 in-2*0.06 in-2*0.06 in � I <br /> = 1.514 in <br /> 1.625 in <br /> � <br /> �t/t= 25.17 ' � <br /> ' 1=fambda= [1.052/(k)^D.5]*(wr/t)*C�Y/E)^Q.5 Eq.82.1-4 � ' <br /> _ [1.052/(4}^0,5]*25.17*(55/29500)^0.5 3.375 in � <br /> = 0.572 <0.673,Flange is fully effective Eq.82,1-1 0.0�o m � <br /> �- <br /> s�- iB)check V�eb for local buckling per section b2.3 ; <br /> fl(comP)= W*CY�/Y2)= 49.25 ksi � <br /> i <br /> f2(tensian)= Fy*(yl/y2)= 101.01 ksi � <br /> i <br /> `�_ �2��� Eq,B2.3-5 Beam= �ir�t�t ssasols.���"F��e x 0.06"thk <br /> _ -2.051 Ix= 1,0�+2 in^4 i <br /> I<= 4+2*(1-Y)^3+2*(1-Y) Eq.B2.3-� Sx= 0.565 in^3 '( <br /> = 66.90 Ycg= 2.228 in ! <br /> flat depth=wp yi+y3 t= O.OoO in ' <br /> = 3.135 in w/t= 52.25 OK Bend Radius=r= 0,0&�in � <br /> I�fambda= [1.052/(k)^O.S]*(vy/t}*(f1JE}^0.5 . Fy=Fyv= 55.00 ksi I <br /> _ [1.Q52/(66.9)^0.5]*3.135*(49.25J29500}^0.5 Fu=Fuv= 65.00 ksi <br /> = 0.275 <O,b73 E= 29500 ksi i <br /> be=w= 3.235 in b2= be/2 Eq 62.3,2 top flange=b- 1.750 in I <br /> 6I= be(3-Y) = 1.57 in bottom flange= 2.750 in � <br /> = 0.621 �Veb depth= 3.?���^ ' <br /> Fy ( <br /> bi+b2= 2.19i in > 1.0275 in,Web is fully effective <br /> fi(comp) ' i <br /> Determine effect of cold working on steef yield point(Fya)per section A7.2 } <br /> FYa= C*FyC-1-(1-C)*FY (EQ A7.2-1} -•- � <br /> I <br /> �corner=�c= (p/2)*(r+t/2) <br /> 0.141 in G= 2*Lc/(Lf+2*l.c} YZ ' <br /> Lflange-top=Lf= 1.510 in = 0.157 in y3 <br /> m= 0.192*(Flt/Fy�-0.068 (EQ A7.2-4} depth � ; <br /> = 0.1590 � <br /> 8c= 3.fi9�(Fu/Fy)-0.819�(Fu/Fy)^2-1.79 (EQ A7.2-3) i <br /> = 1.427 � <br /> since fu/Fv= 1.1H < 1.2 v�s Y� <br /> and r/t= 1 < 7 OK I i <br /> then Fyc= Bc*Fy/(R/t)^m (EQ�7.2-2) 'r _. 2(tenslon) ' <br /> = 78.485 ksi 3I <br /> Thus, Fya-top= 58J0 ksi {tension stress at Cop) ; <br /> Fy�-hottom- Fya*Ycg/(depth-Ycg) y1= Ycg-t-r= 2.108 in � <br /> = 113,94 ksi (tension sYress at�ottom) y2= de�th-Ycg= 1.l48 in � <br /> Check aflowable tension stress for bottom flanae y3= y2-t-r= 1.028 in � <br /> Lfl�nqe-bot=Lfb= Lbottom-2*r*-2*t ; <br /> { <br /> = 2.510 ln �� <br /> Cbottom=Cb= 2*Lc/(Lfb+2*Lc) � <br /> = 0,101 I <br /> i <br /> Fy-6ottom=Fy6= Cb*Fyc+(1-Cb)'�Fy� � <br /> = 57.37 ksi I <br /> Fya= (Fya-top)*(Fyb/Fya-botlom} � <br /> ;� <br /> = 29.56 ksi <br /> if F= 0.95 Then F*Mn=F*Fya*Sx= 15.H&in-k !� <br /> • i <br /> ----- �- a !1� ��' I <br /> � <br />