Chapter 5.2, Problem 6E

(a)

To determine

The maximum deflection of the cantilever beam if the deflection is defined by the function $y\left(x\right)=\frac{w_0}{24EI}\left(6L^2{x}^2-4L{x}^3+x^4\right)$.

(b)

To determine

The maximum deflection of the cantilever, if length is half. Also compare the value with part (a).

(c)

To determine

The maximum deflection of the cantilever beam if the deflection is defined by the function $y\left(x\right)=\frac{w_0}{24EI}\left(L^{3}x-2L{x}^3+x^4\right)$.

(d)

To determine

Compare the maximum deflection of the cantilever defined by $y\left(x\right)=\frac{w_0}{24EI}\left(L^{3}x-2L{x}^3+x^4\right)$ with maximum deflection of cantilever defined by $y\left(x\right)=\frac{w_0}{24EI}{x}^2{\left(x-L\right)}^2$.