A simply supported beam is made of A-36 steel and is subjected to the loadingshown below. Let P = 20.2 kN, I = 145.7 × 10⁰ mmª, and E = 200 GPa. You are required to usethe Method of Superposition to solve thisproblem.(a) Find the deflection at point C of the beam(in mm).(b) Find the slope at end A of the beam (indegrees).5mP4 kN/m5 mB EQUATIONS FOR DEFLECTIONS OF SIMPLY SUPPORTED BEAMSSIMPLY SUPPORTED BEAMSLENGTH, LAyAAMYdydxdydydxMaxL/2dydxL/2F'YM₂Max9bU/2 FdydxY Masdy(3).L/2dxdxBdiadydxCANTILEVER BEAMSLENGTH, Ldydx/uwindydxBBAnYst*7%LENNETУмMo(dyУмиSLOPEdx/Maxdy -Fab(L+b)(dx6EI L(dy)dxdy(dx)dydx/dydx/dydx=dydx=Fab(L+a)6EI L=--dy3q, L'dx), 128EIdy 7q,1(dx) 384E1,(dydx-FL²16EIdyML6EI,==9.L²dx 45EI,MLЗЕІ,aMax9.1.²24EI,MaSLOPEMax-79 L'360EIX dy =9,L¹dx/stas6EL,dy -FL²dxSEI,Max-FL²2EI,MLEI,9.L²48EI-Fxy= (3L²-4x²)48EIУмиEQUATIONS FOR DEFLECTIONS OF CANTILEVER BEAMSy=Умакy=y=Y 6EL,Lу"DEFLECTIONEQUATIONS-Mxy=- -(x²-3Lx+21²)6EI,L-ML-²√243EI atx=0.4226L-9x(x²-2Lx² +1²)24EI,УмитУман|y=-Fbx6EI,LУмаy=-FL²48EL,y=(16x-24Lx² +9L')384EI-9.L384E1,+17L²x-L¹) L/2≤x≤L-Fba (1-b²-a¹)360EI,L(L-b²-x²)0≤x≤aУманy=-0≤x≤L/2-Sq₂L¹384EI,(8x³-24Lx¹-6.563x10¹q LEI,-9x(3x-10L²x² +7L')-Fx².6EI-6.52 x 10 ³q,L*EI,Mechanics of Materials - 4550≤x≤L/2DEFLECTIONEQUATIONS-FL²ЗЕІ,-(3L-x)-9₁x²24EI,Y =at x= 0.4598L-Fx²y=- (2-x)6EI,y=-9₁x²x²24EIу-FL²3x-1-1)24EIy =at x 0.5193-9,L¹SEI(x²-4Lx+6L²)Mx²2EI₂-9²²² (₁ML²Уми "2EI,x²-21x4+0≤x≤L/2LL/2≤x≤L0≤x≤L/2

The applied force is The moment of inertia of beam is The elasticity of beam is

A simply supported beam is made of A-36 steel and is subjected to the loading shown below. Let P = 20.2 kN, I = 145.7 x 106 mm, and E= 200 GPa. You are required to use the Method of Superposition to solve this problem. (a) Find the deflection at point C of the beam (in mm). (b) Find the slope at end A of the beam (in degrees). 5 m P 4 kN/m Imtion 5m

A simply supported beam is made of A-36 steel and is subjected to the loading shown below. Let P = 20.2 kN, I = 145.7 x 106 mm, and E= 200 GPa. You are required to use the Method of Superposition to solve this problem. (a) Find the deflection at point C of the beam (in mm). (b) Find the slope at end A of the beam (in degrees). 5 m P 4 kN/m Imtion 5m

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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