. Proceedings of the annual convention . Assumed Equilibrium Conditions Z M3JAM3QA9+M3eAC*M3eAD = 0 M3JAB = M3fAB + ab[V2;,B+V3fAB] AlgebraicSummations ^C (b) Conditions for LM-O ot Joint Center J;j, FIGURE 12 Equivalent J oint Method of Rigid Frame Analysis 29 SECONDARY STRESS ANALYSIS Frame of Figure 4step 3(b) Moments from Additional Rotations Continued Constont I Variable 1 251 Ka ®3*^a=2IKa e. IMsJa nKAjCeaKi) 3ka-i:KaCa IKaCa (c) 63 Computotion by Increments seBA ^seAcr 3eAB Constant I MsoAB = l^AB [~263KA~®3KbJ f^SeSA ^AB|_~®3KA~2e2KB| Variable I ^ZeUQ ^ [~Cab93K~C®3KbJ •^seflA ^AB
. Proceedings of the annual convention . Assumed Equilibrium Conditions Z M3JAM3QA9+M3eAC*M3eAD = 0 M3JAB = M3fAB + ab[V2;,B+V3fAB] AlgebraicSummations ^C (b) Conditions for LM-O ot Joint Center J;j, FIGURE 12 Equivalent J oint Method of Rigid Frame Analysis 29 SECONDARY STRESS ANALYSIS Frame of Figure 4step 3(b) Moments from Additional Rotations Continued Constont I Variable 1 251 Ka ®3*^a=2IKa e. IMsJa nKAjCeaKi) 3ka-i:KaCa IKaCa (c) 63 Computotion by Increments seBA ^seAcr 3eAB Constant I MsoAB = l^AB [~263KA~®3KbJ f^SeSA ^AB|_~®3KA~2e2KB| Variable I ^ZeUQ ^ [~Cab93K~C®3KbJ •^seflA ^AB [~C63ka~Cba93kbJ(d) Moment Increments M3Q FIGURE 12 Completed 30 Iron and Steel Structures EXAMPLE I RIGID FRAME ANALYSIS ST£P I Conventional Method Cleor Spans c-c. MpAA = = 233*P P P | 1=160,600 in.* See Figure 5 Reference: See also Proc. ii;iX + -I760 - ^^^■ ^ B ( eKjB= = 0 + = |ng4 2 + 048 6 .+ 2 1= F=i 752 Frame & Loods Cornputotion Of 8s MomentsFt. Kips Sheors Kips M^^ = + l() = ■ l() = l(+)= (+) = + Note: Mp^^ is computed on cleor span assump-tion, at the face of Joint A. FIGURE Equivalent Joint Method of Rigid Frame Analysis 31 EXAMPLE I RIGID FRAME ANALYSIS STEP 2(a) Moments M2A See Figure 6 .. A 11-I -m^ /5 M2Aab = II3 23:2 STEP 2(b) Moments M^o See Figure 7EM,J. 466 X + X = - = - *^ L IMgJa + 3 ^ iB ^ * ja64752+ ffl Moments MgO MjeAA ° ^■^■^ =** MaeAB • +) = - **IM,^. ; zeA + * ■8
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