BEAM FORMULAS VI-82 January 2010 January 2010 VI-83 VI-84 January 2010 January 2010 VI-85 VI-86 January 2010 CASE 12A. Trapezoidally distributed load: Total Load: W = w(L – a) Max. Load: w lb/in Reactions: R1 = W/2, R2 = W/2 Shear Forces: V1 = R1; V2 = -R2 Maximum bending moment = ___ w ( 3L2 – 4a2 ), x = __ L 24 2 Maximum deflection = [ (L) ] 4 a 2 + 16 __ a 4 , x = __ _______ wL 25 – 40 __ L 1920EI January 2010 (L) 2 VI-87 VI-88 January 2010 January 2010 VI-89 VI-90 January 2010 January 2010 VI-91 VI-92 January 2010 January 2010 VI-93 VI-94 January 2010 January 2010 VI-95 VI-96 January 2010 January 2010 VI-97 VI-98 January 2010 January 2010 VI-99