Calculating Beam Deflection and Slope Using the Moment-Area Method

[fonseh]

Homework Statement

Find the deflection and slope of bending of beam

Homework Equations

The Attempt at a Solution

[/B]
Here's my ans , but the ans given is EIy = -4953 , but i gt EIy = -5078 , anything wrong with my answer ? for slope at A , i gt EI(dy/dx) = 0 instead of EI(dy/dx) =625

 

[Asim Riaz]

Let A and B be the end of the beam.L = 8 mEI = 2*10^5 kNm^2P = 10 kN (acting at 5m from A)Using Moment-Area MethodMoment at A = 0 Moment at B = -10*5 = -50 kNmArea under M/EI diagram = (1/2)*(8*50) = 200 kNmSubstituting d^2y/dx^2 * (L^3/3) = 200d^2y/dx^2 = 200/(8^3/3) = 25/64 dy/dx = (25/64)*x - (25/128)At x=0, dy/dx = 0At x=8, dy/dx = 25Deflection at A , yA = 0 Deflection at B , yB = -(25/128)*8^2 = -200/128 = -1.5625 mSlope at A , dy/dx = 0Slope at B , dy/dx = 25 Stiffness = EI = 2*10^5 Deflection at B = -1.5625 EIy = -2*10^5(-1.5625) = -5078