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).
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