- A Cantilever I Beam Is Loaded With A Distributed Load As Shown The Deflection Y Of The Centerline Of The Beam As A Fu 1 (56.38 KiB) Viewed 31 times
A cantilever I-beam is loaded with a distributed load, as shown. The deflection y, of the centerline of the beam as a function of the position, x, is given by the equation: Wo vy w=w.cos( X 3 y = Wo L (48 L³ cos (TIX)_48L²43π³Lx²_7²x³) 374 EI 2 33 Where L=3 m is the length of the beam, E=70 GPa is the elastic modulus, I=52.9 x10 m¹ is the moment of inertia, and W₁ = 15 kN/m. Find the position x where the deflection of the beam is 9mm. In solving this problem use a convergence criterion of 1.0%, and an initial step size of .5 for the Secant Method.