Question

Through the cut method, draw the shear and bending diagrams and prove that the maximum moment is equals to (w.L^2/8).

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Answer 1

WKNm RA= WL RB- WL 2 Solution actiny SO NO Sin ce thea io no torizoital load vertical grenenaterd Horrzoutal reaction is dinction eactions are and g as shoon n tig.above at Supfert A geausates) W KNIM Caleulating Suffert Renution WL 1- RA RB- W.L( WL SFD tve ve akiing noment about polut A' as it s a 2 Hinged Sufpert o Moment wiln be Zero +ve BM EMA- 0 RBXL-WLXL 0 2 50 fromea RA WL 2 2 Now Cuting Biam in section at a distance of Shar force equation (ie Sumok al vestical kaad at x from A Fx= RA-Wx Linear &quation WL Wx at f = WL at 2 2 at F : WL

Novo For Bendin Moment equation at distance WLx Mz RA 2 2 2 CRuadratic) at x-o ' MO WL.L ME 2 4 2 2 2 2 WL L 2 2 Plotting theae valuus in Quadratic Curve CGOF UDL Since max omeut ocen at the ie at /2 So Max Moment (rom BmD Ag