The deflection of a cantilevered beam supporting the weight of an advertising sign is gi...

The deflection of a cantilevered beam supporting the weight of an advertising sign is given by

where

y = deflection at a given x location (m)

W = weight of the sign (N)

E = modulus of elasticity (N/m²)

I = second moment of area (m⁴)

x = distance from the support as shown (m)

L = length of the beam (m)

Plot the deflection of a beam with a length of 3 m, the modulus of elasticity of E = 200 GPa, and I = 1.2 × 10⁶ mm⁴ and for a sign weighing 1500 N. What is the slope of the deflection of the beam at the wall (x = 0) and at the end of the beam where it supports the sign (x = L).