Question

For the beam loaded as shown, write singularity functions for the slope and deflection of the beam and solve for the slope of the beam at A. Use x = 0 starting at the left end of the beam. 2w C А r В. -1/2

Answer 1

Efuso Ratkes = ML#ZUI% 나는 RATRB 220L Also SMARO R 마늘 20들 (나는) =0 RB XL z w12 2. 니 KB 들바 놓 RAF 2L 좋아 뽑

Now of ang ubority furting 4 Lood fortion WL <x-05 - wex <x-03 22w <X-LIMBUZZO om at LX-L? Shear force funtion V Integroting a IV <x> w <x>'. <x-Ly' as sh both side AL 4 <xo 1 20 Moment funtion Mas WL 4 <*> - <x** - <x=13? <x->²= Eid 2 Mexe - WL W <*>? E D 2 dx² - Integrating both side x2 مالا EI af blå X3 W 24-23 + C, (Slope ) 3 3 Again 3 ااا х Х EI YG) W <X-L) xo 310 +Cx+q (Deflection 4 12 12

Now using boundary condition ex=0 YO) = 0 & @x= L yee) - So 2 C₂ z & EI you 0-0-0+ 0 + Cy E 1 y(t) = WL <3 W L4 w (K-2) 2 + c G +C,L 2 12 12 0 ㅗ 94 WLA * [ t CL IC=0 y (x) WL x wye wax-2)* 24 24 dy w x² - w x3 wcx-2)3 n FI F ايا 3 (Deflection) 0 12 El dy Slope ) 3.

Now for slope at A ; X=0 3 El dy ( 2 تا - dx 3 to 3 3 ay 3 لا Or slope - 31 **