Question

Please help, I need every detail possible and all diagrams.

For the beam and loading shown, determine (a) the deflection at point C, (b) the slope at end A. MA = Pa C -L

Answer 1

Soln MA=Pa A B с ರ. RAS Rio fyo RA TRB-P=O RATRB =P E MA =0 RB XL - Pat Pa co RB CO RA =P Now writing moment equation for whole beam :- Mx a RAK - Pax - P(x-a) Applying Double Integration method :- Erde 3 PX - Parº - P(u-a) chia Integreeting eq W El dy P22 Pax - P(x-Q)2 terro(II) che 2 2 Again Integreeting Eq (m) PR3 - Pax² Plana)3 EI Y + G x + Ceconelin 6 from Bocendary condition : - at kao Y 20, C2 30 and at eah G= >

02 PLE Pale P(L-a) 3 6 TCL cila - P(3 + Pal? Pal² + PCL-aja 2 Pale + P(L-a)? 6L -PL2 .PL2 Putting the value of G & C in eq (10) & CTT) EI dy P(xra)2 PCL-013 PLZ + Pall PR2 - pan + dhe 2 2 6 ľ ---Cive slope at end Aire act 220 putting nio in eq civ) ΕΓθA - PL2 6 PAL 2 ما LO -O + P(L-033 GL P(L-a)} PL2 + PAL GL 2 ETOA = Ang EIY = Pulsa pax? Plena) Peremaja + {p<.2013 Preset Pole} Palla (V) - put ana in Eq (u) for deflection at point a Elle Pa3 Pa3 P(L-a)3 0+ Pl? pal 2 6 -Pa3 Pall-a]} Pal? PaRL Ans {PCL-a)? + TEINE (a) 2 3