SOLUTION: Please help me answer the following question: A graph that is deflection (y-axis) vs load (x-axis) produces a straight line. Prove that the deflection at the centre of a beam eq

Algebra ->  Linear-equations -> SOLUTION: Please help me answer the following question: A graph that is deflection (y-axis) vs load (x-axis) produces a straight line. Prove that the deflection at the centre of a beam eq      Log On


   



Question 1108775: Please help me answer the following question:
A graph that is deflection (y-axis) vs load (x-axis) produces a straight line.
Prove that the deflection at the centre of a beam equation which is:
+Y=+WL%5E3%2F48EI+ produces a straight line.
where: Y= Deflection(m), W =Load(N), L =Length (m), E =Young’s Modulus (N/m^2) and I =Second moment of Area (m^4)
So prove that +Y=+WL%5E3%2F48EI+ = Y=mx+%2B+c+ where C (where the line crosses the Y axis)= 0

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
y is proportional to the first power of W, so that is enough to make that a straight line or a linear function.
L^3/(48 EI) is the slope of that line. The units are m^3*m^2/N*m^4=m/N
There is no y-intercept, because the L^3/48EI is the slope.