. Proceedings of the annual convention . ACCURACY OF SUCCESSIVE APPROXIMATIONS FIGURE 18 36 Iron and Steel Structures. 0> UJ >N^ / ^- ^sT^*-*. / 00 \. ^-^^^^ / ^r^^ ^^ o >^ T o. 0) 0) U) E o 2 CvJ <►- »•- o o LU </) APPENDIX 38 Iron and Steel Structures THE GENERAL FORM OF THE SLOPE DEFLECTION EQUATIONSFOR A BEAM OF VARIABLE I FUNDAMENTAL EQUATIONS L —I GENERAL FORM, BEAM OF ANY CROSS SECTION: MAB=iMFA0 +2E-^[(CAB+Ck9)-^-CABeA-C;BeJ vl MBA=iM^BA+ 2E-i[cBA+CAB)-^-CflAeB-CASeA] B USUAL , BEAM OF CONSTANT CROSS SECTION: Mab=±Mfab+ 2E^r3^-2©A-eJSign Conventions: Angles 6 BA/L

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. Proceedings of the annual convention . ACCURACY OF SUCCESSIVE APPROXIMATIONS FIGURE 18 36 Iron and Steel Structures. 0> UJ >N^ / ^- ^sT^*-*. / 00 \. ^-^^^^ / ^r^^ ^^ o >^ T o. 0) 0) U) E o 2 CvJ <►- »•- o o LU </) APPENDIX 38 Iron and Steel Structures THE GENERAL FORM OF THE SLOPE DEFLECTION EQUATIONSFOR A BEAM OF VARIABLE I FUNDAMENTAL EQUATIONS L —I GENERAL FORM, BEAM OF ANY CROSS SECTION: MAB=iMFA0 +2E-^[(CAB+Ck9)-^-CABeA-C;BeJ vl MBA=iM^BA+ 2E-i[cBA+CAB)-^-CflAeB-CASeA] B USUAL , BEAM OF CONSTANT CROSS SECTION: Mab=±Mfab+ 2E^r3^-2©A-eJSign Conventions: Angles 6 BA/L are positive wtien ganeroted in a clockwise direction. End moments in members ore positive when the moments tend 1o rotole the joint (not the member) in o clockwise direction. Ref«rence istatJcQlly Indeterminate Stresses, Porcei a Money, 2nd, Ed. pp. 147-166.

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